tag:blogger.com,1999:blog-66757358077765674472024-03-19T04:09:31.942-04:00Glad Hobo ExpressHans Havermannhttp://www.blogger.com/profile/02313127709134723461noreply@blogger.comBlogger530125tag:blogger.com,1999:blog-6675735807776567447.post-66194044399933350742024-03-15T18:00:00.014-04:002024-03-16T07:46:45.854-04:00Drive-byNearby Denison Rd W was blocked off from the curve at the <a href="https://www.google.com/maps/@43.6954383,-79.511581,3a,75y,301.96h,90t/data=!3m7!1e1!3m5!1sv5bDZoMv4LEA-tfETAC9cg!2e0!6shttps:%2F%2Fstreetviewpixels-pa.googleapis.com%2Fv1%2Fthumbnail%3Fpanoid%3Dv5bDZoMv4LEA-tfETAC9cg%26cb_client%3Dsearch.gws-prod.gps%26w%3D86%26h%3D86%26yaw%3D301.96136%26pitch%3D0%26thumbfov%3D100!7i16384!8i8192?entry=ttu" target="_blank">hidden parkette</a> (first picture, helicopter view) to Clouston Ave (third picture, helicopter view), because of its relevance to a "700 metres away" (Weston Road & Sidney Belsey Crescent) <a href="https://www.cp24.com/news/youth-injured-in-daylight-drive-by-shooting-in-mount-dennis-1.6809595" target="_blank">drive-by shooting</a>. There was no explanation given as to why the two locations are thus dissociated but it is reasonable to suppose that the shooting actually happened on Denison Rd W and that the victim managed to make his way to the other location. The second picture is my photograph of a police car blocking access on Lippincott St W.<div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjMeHL3lpD0PM8s6C1RTCZl_wXZ4vFcPVM5QzRHJSphkbFcz2AghNPqV91Wg7eBQ3gl1ZnmRLpYwUnACmhoagJyNQtKe_wdf3CL3MJy4qHZVE9y9cCVJHnVNHdPvnktiO6o0cKVr7V89fczDnIi1Zsctr20K6a-pBo2Ud7frisEL9IWNW1S0xX0kZ7uHOCd/s2164/Mar15HelicopterView(parkette).jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1210" data-original-width="2164" height="224" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjMeHL3lpD0PM8s6C1RTCZl_wXZ4vFcPVM5QzRHJSphkbFcz2AghNPqV91Wg7eBQ3gl1ZnmRLpYwUnACmhoagJyNQtKe_wdf3CL3MJy4qHZVE9y9cCVJHnVNHdPvnktiO6o0cKVr7V89fczDnIi1Zsctr20K6a-pBo2Ud7frisEL9IWNW1S0xX0kZ7uHOCd/w400-h224/Mar15HelicopterView(parkette).jpg" width="400" /></a></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg4aMCSmnvStqAJDEl83wsVRXlfLDkm3fvokUBTnjzUKQodv1IJiLmh6t1Gnux32SOMylky0tUe5F-W3IlUnCLA4cGaySjQ_Jk13KZGS8FxnhyNwndp3naPEo5o_GEEzP_JGpwpx2e71xoct3efdpWhLInBBLKRV9UaAOPmaDx0lBoB4WlulcMaM73OTocv/s1280/LippincottClosure.jpeg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="854" data-original-width="1280" height="268" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg4aMCSmnvStqAJDEl83wsVRXlfLDkm3fvokUBTnjzUKQodv1IJiLmh6t1Gnux32SOMylky0tUe5F-W3IlUnCLA4cGaySjQ_Jk13KZGS8FxnhyNwndp3naPEo5o_GEEzP_JGpwpx2e71xoct3efdpWhLInBBLKRV9UaAOPmaDx0lBoB4WlulcMaM73OTocv/w400-h268/LippincottClosure.jpeg" width="400" /></a></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgBOIq-YNnMfVd67T7o_rrQ6lT4dhqejnEV9trybUeAira4R6BzYxZ_eNb_5NDj_yJEJ8NJs6hZezEmZ2u1UEfEmsooC60ByD-W6_UY7NaG_jNxDEUXKw-ZslPH-JFCyiqjLnWWKU5jGNIuUfGwPP8D26SlOL9gECMAfrw1pCjbsZt1Nsjc8qdHZH2fgpcC/s2391/Mar15HelicopterView(cemetery).jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1346" data-original-width="2391" height="225" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgBOIq-YNnMfVd67T7o_rrQ6lT4dhqejnEV9trybUeAira4R6BzYxZ_eNb_5NDj_yJEJ8NJs6hZezEmZ2u1UEfEmsooC60ByD-W6_UY7NaG_jNxDEUXKw-ZslPH-JFCyiqjLnWWKU5jGNIuUfGwPP8D26SlOL9gECMAfrw1pCjbsZt1Nsjc8qdHZH2fgpcC/w400-h225/Mar15HelicopterView(cemetery).jpg" width="400" /></a></div></div>Hans Havermannhttp://www.blogger.com/profile/02313127709134723461noreply@blogger.com0tag:blogger.com,1999:blog-6675735807776567447.post-63911010881151015552024-03-12T19:00:00.000-04:002024-03-16T16:23:58.264-04:00Seventy<p></p><div style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiuIVwi25cv24p8KxVxKH0sLNpnl8igmKdgGBDeqeb_JxCGMFP_0SWVxPCSfLQI1zT5KZRdju1kDgOWOfvjOuHDDDxjvV_Xii7Psn93xhdPrQQ1sxPhFMunMuSQLKUphS8YbzJmEnKVeJxPPlt7LCSpnei99Kcnaa87J_M_3033rQ0uXw7stzzna4aOBhJM/s2550/seventy.jpg"><img border="0" data-original-height="2550" data-original-width="1204" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiuIVwi25cv24p8KxVxKH0sLNpnl8igmKdgGBDeqeb_JxCGMFP_0SWVxPCSfLQI1zT5KZRdju1kDgOWOfvjOuHDDDxjvV_Xii7Psn93xhdPrQQ1sxPhFMunMuSQLKUphS8YbzJmEnKVeJxPPlt7LCSpnei99Kcnaa87J_M_3033rQ0uXw7stzzna4aOBhJM/w189-h400/seventy.jpg" width="189" /></a></div><p></p><p><span style="font-size: x-small;"><span style="font-family: courier;">1938 Two Sleepy People 3:07 Hoagy Carmichael, Ella Logan<br /></span><span style="font-family: courier;">1955 Ain't That A Shame 2:25 Fats Domino<br /></span><span style="font-family: courier;">1957 Wake Up Little Susie 2:04 The Everly Brothers<br /></span><span style="font-family: courier;">1958 True Love Ways 3:02 Buddy Holly, Dick Jacobs Orchestra<br /></span><span style="font-family: courier;">1959 ('Til) I Kissed You 2:25 The Everly Brothers<br /></span><span style="font-family: courier;">1959 Handy Man 2:06 Jimmy Jones, Otis Blackwell<br /></span><span style="font-family: courier;">1959 Calendar Girl 2:40 Neil Sedaka<br /></span><span style="font-family: courier;">1960 Good Timin' 2:13 Jimmy Jones<br /></span><span style="font-family: courier;">1960 Walk, Don't Run 2:09 The Ventures<br /></span><span style="font-family: courier;">1960 Funnel Of Love 2:07 Wanda Jackson<br /></span><span style="font-family: courier;">1961 Tell Old Bill 4:24 Dave Van Ronk<br /></span><span style="font-family: courier;">1961 Runaway 2:19 Del Shannon<br /></span><span style="font-family: courier;">1962 Green Onions 2:52 Booker T. and The MG's<br /></span><span style="font-family: courier;">1962 Pipeline 2:22 The Chantays<br /></span><span style="font-family: courier;">1962 He's So Fine 1:48 The Chiffons<br /></span><span style="font-family: courier;">1962 Wolverton Mountain 2:58 Claude King<br /></span><span style="font-family: courier;">1962 Palisades Park 1:54 Freddy Cannon<br /></span><span style="font-family: courier;">1963 It's My Party 2:22 Lesley Gore<br /></span><span style="font-family: courier;">1965 Tombstone Blues 6:01 Bob Dylan<br /></span><span style="font-family: courier;">1965 Colours 2:48 Donovan<br /></span><span style="font-family: courier;">1965 These Boots Are Made For Walkin' 2:46 Nancy Sinatra<br /></span><span style="font-family: courier;">1965 The Cuckoo 3:25 Tom Rush<br /></span><span style="font-family: courier;">1967 I Am The Walrus 4:36 The Beatles<br /></span><span style="font-family: courier;">1967 (Sittin' On) The Dock Of The Bay 2:50 Otis Redding<br /></span><span style="font-family: courier;">1968 Birthday 2:43 The Beatles<br /></span><span style="font-family: courier;">1968 Ducks On A Pond 9:11 The Incredible String Band<br /></span><span style="font-family: courier;">1969 Across The Universe 3:48 The Beatles<br /></span><span style="font-family: courier;">1969 The Boxer 5:13 Simon & Garfunkel<br /></span><span style="font-family: courier;">1970 I Heard It Through The Grapevine 11:07 Creedence Clearwater Revival<br /></span><span style="font-family: courier;">1970 The Story In Your Eyes 2:57 The Moody Blues<br /></span><span style="font-family: courier;">1971 Ain't No Sunshine 2:03 Bill Withers<br /></span><span style="font-family: courier;">1973 Raised On Robbery 3:07 Joni Mitchell<br /></span><span style="font-family: courier;">1973 Cam Ye O'er Frae France 2:50 Steeleye Span<br /></span><span style="font-family: courier;">1975 Bandalabourou 6:45 Ali Farka Touré<br /></span><span style="font-family: courier;">1975 Diamonds & Rust 4:46 Joan Baez<br /></span><span style="font-family: courier;">1978 Sultans of swing 5:36 Dire Straits<br /></span><span style="font-family: courier;">1979 Planet Claire 4:37 the B-52's<br /></span><span style="font-family: courier;">1979 Echo Beach 3:40 Martha and the Muffins<br /></span><span style="font-family: courier;">1979 Another Brick In The Wall (Part II) 4:01 Pink Floyd<br /></span><span style="font-family: courier;">1980 Could You Be Loved 3:35 Bob Marley and the Wailers<br /></span><span style="font-family: courier;">1980 Mirror In The Bathroom 3:09 The English Beat<br /></span><span style="font-family: courier;">1982 Farewell to Nova Scotia 3:11 Touchstone<br /></span><span style="font-family: courier;">1983 Get The Balance Right (combination mix) 8:00 Depeche Mode<br /></span><span style="font-family: courier;">1983 Blue Monday 7:29 New Order<br /></span><span style="font-family: courier;">1983 Johnny B. Goode 4:05 Peter Tosh<br /></span><span style="font-family: courier;">1984 Ain't Necessarily So 4:43 Bronski Beat<br /></span><span style="font-family: courier;">1984 The Bottomless Lake 3:42 John Prine<br /></span><span style="font-family: courier;">1984 Come Out And Dance 4:50 Martha and the Muffins<br /></span><span style="font-family: courier;">1985 Don't Stop The Dance 4:19 Bryan Ferry<br /></span><span style="font-family: courier;">1985 <a href="https://gladhoboexpress.blogspot.com/2024/03/losers.html" target="_blank">Losers</a> 3:14 Dave Van Ronk<br /></span><span style="font-family: courier;">1987 Hush Little Baby 4:44 The Horse Flies<br /></span><span style="font-family: courier;">1987 I'm Your Man 4:29 Leonard Cohen<br /></span><span style="font-family: courier;">1989 Alasdair Mhic Cholla Ghasda 2:31 Capercaillie<br /></span><span style="font-family: courier;">1991 Stand By The JAMs (12" version) 5:32 The KLF, Tammy Wynette<br /></span><span style="font-family: courier;">1992 A Night In The Mountains 8:37 Rabih Abou-Khalil<br /></span><span style="font-family: courier;">1993 Mama Sara 7:13 Farafina<br /></span><span style="font-family: courier;">1993 The River 6:31 Geoffrey Oryema<br /></span><span style="font-family: courier;">1995 All My Tears 3:42 Emmylou Harris<br /></span><span style="font-family: courier;">1995 Carnival 5:59 Natalie Merchant<br /></span><span style="font-family: courier;">1996 Sardinia Memories (After Hours) 2:31 Geoffrey Oryema<br /></span><span style="font-family: courier;">1996 Acony Bell 3:06 Gillian Welch<br /></span><span style="font-family: courier;">1996 da eye wifey 7:47 shooglenifty<br /></span><span style="font-family: courier;">1997 Night Ride Across the Caucasus 8:33 Loreena McKennitt<br /></span><span style="font-family: courier;">1998 Winter's Come And Gone 2:15 Gillian Welch<br /></span><span style="font-family: courier;">2002 Garden Tree 5:43 John Brown's Body<br /></span><span style="font-family: courier;">2003 As Time Goes By 3:49 Rod Stewart, Queen Latifah<br /></span><span style="font-family: courier;">2004 Woman King 4:21 Iron & Wine<br /></span><span style="font-family: courier;">2005 Thanks For The Memory 3:11 Rod Stewart, Roy Hargrove<br /></span><span style="font-family: courier;">2007 Dark Undercoat 4:57 Emily Jane White<br /></span><span style="font-family: courier;">2008 Roflcopter 7:21 Ott</span></span></p><p><span style="font-size: x-small;"></span></p><div class="separator" style="clear: both; text-align: center;"><span style="font-size: x-small;"><iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='320' height='266' src='https://www.blogger.com/video.g?token=AD6v5dyBxOJJllaap7xd0HNuk5jiky8qG7RANaT3vmjW1v0aduTZV94lKL9OfxtO0UBK2QtKccBBoiaL7UPPnUuztA' class='b-hbp-video b-uploaded' frameborder='0'></iframe></span></div><p></p>Hans Havermannhttp://www.blogger.com/profile/02313127709134723461noreply@blogger.com0tag:blogger.com,1999:blog-6675735807776567447.post-13683239180853409942024-03-04T14:11:00.015-05:002024-03-05T07:36:43.411-05:00Losers<p><i>Back in 2003 I contributed in <a href="https://mudcat.org/detail.cfm?messages__Message_ID=864158" target="_blank">The Mudcat Café</a> transcribed-by-ear lyrics for Dave Van Ronk's "Losers", noting that I was "unsure about three or so words". Now, a couple of decades later, I'm finally prepared (thanks largely to <a href="https://www.elijahwald.com/songblog/losers/" target="_blank">Elijah Wald</a>) to fix that problematic <a href="https://mudcat.org/detail.cfm?messages__Message_ID=3110462" target="_blank">second verse</a>:</i></p><p><span style="background-color: white;"><span style="font-family: helvetica;">I blew my wad playing seven-card-stud<br />I was playing for money, they was playing for blood<br />On the way back home the big winner got mugged<br />Now he's just another loser like me</span></span></p><p><span style="background-color: white;"><span style="font-family: helvetica;">Losers, losers<br />I got took for my <a href="https://www.etymonline.com/word/whosis" target="_blank">whosis</a><br />That <a href="https://www.etymonline.com/word/shark">shark</a> got crowned: He's <a href="http://www.michaelspornanimation.com/splog/wp-content/uploads/2013/05/JrWoodchucks11.jpg">groan bin</a> bound<br />He's just another loser like me</span></span></p><p><span style="background-color: white;"><span style="font-family: helvetica;">See that kid sitting back at the bar<br />He's picking up a storm on a Martin guitar<br />That poor fool thinks he's gonna be a star<br />He's just another loser like me</span></span></p><p><span style="background-color: white;"><span style="font-family: helvetica;">Losers, losers<br />Some are raggers, some are bluesers<br />Makin' disco sounds in a HoJo lounge<br />With a bunch of other losers like me</span></span></p><p><span style="background-color: white;"><span style="font-family: helvetica;">Love has busted up this cat for sure<br />He's crying like a baby at his baby's door<br />That poor fool don't know what he's crying for<br />He's just another loser like me</span></span></p><p><span style="background-color: white;"><span style="font-family: helvetica;">Losers, losers<br />Can't say no to cruisers<br />When she says "When he'll be back again?"<br />He's just another loser like me</span></span></p><p><span style="background-color: white;"><span style="font-family: helvetica;">There's a hobo up in heaven on the golden street<br />He'll panhandle every angel that he'll meet<br />He'd hock his harp for some Sneaky Pete<br />He's just another loser like me</span></span></p><p><span style="background-color: white;"><span style="font-family: helvetica;">Losers, losers<br />Some are dopers, some are boozers<br />All the muscatel is down in hell<br />He's just another loser like me</span></span></p><p><span style="background-color: white;"><span style="font-family: helvetica;">When God appeared to Saint John Wayne<br />He told him "Duke, I'm a-coming again<br />Life is just a wagon train<br />I'm glad you're not a loser like me"</span></span></p><p><span style="background-color: white;"><span style="font-family: helvetica;">Losers, losers<br />Ten gallon bruisers<br />From Genghis Khan to the Fuller Brush Man<br />They're just a bunch of losers like me</span></span></p>Hans Havermannhttp://www.blogger.com/profile/02313127709134723461noreply@blogger.com0tag:blogger.com,1999:blog-6675735807776567447.post-50545521834475458292024-02-20T15:48:00.029-05:002024-02-22T04:34:40.700-05:00Almost<p>Catherine had taken Bodie to <a href="https://www.facebook.com/Jamesonqueenanimalhospital/" target="_blank">Jameson Queen Animal Hospital</a> in a taxi. I was following her progress on the Find-My app while watching <a href="https://www.thestar.com/life/together/people/johnny-strides-has-guided-thousands-through-the-streets-of-toronto-all-from-the-comfort-of/article_6135b936-dc6a-5eda-b817-b839d09d8cb2.html" target="_blank">Johnny Strides</a> walk down Roncesvalles Ave on live TV, knowing that he wasn't far away from her and heading haphazardly in her direction.<br /></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiHvcMzbKmgScsi-NU6BcrlMOrpoB0GxCm-YxkLvVxllvguwECKWxp5zUl_6cdLLmtshUMmQQG0apzkkQ_6PRSIOD6-HqaeyLtyr1yAv63M5McyD4wZZZlpWFXQJ9iS9S7PL88Tiy1Glk2U_1-NbUve4SdvmjFBWHVJbeqXkrGoqHhg2xbuZyjgWB9JSRDv/s918/CloseEncounter.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="418" data-original-width="918" height="183" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiHvcMzbKmgScsi-NU6BcrlMOrpoB0GxCm-YxkLvVxllvguwECKWxp5zUl_6cdLLmtshUMmQQG0apzkkQ_6PRSIOD6-HqaeyLtyr1yAv63M5McyD4wZZZlpWFXQJ9iS9S7PL88Tiy1Glk2U_1-NbUve4SdvmjFBWHVJbeqXkrGoqHhg2xbuZyjgWB9JSRDv/w400-h183/CloseEncounter.jpg" width="400" /></a></div><p></p><p>She had already gone into the taxi for her return trip home when Johnny was still at Sorauren Ave. I hadn't realized it on the live stream but checking the <a href="https://www.youtube.com/watch?v=yZHnwWm_LL8" target="_blank">You-Tube video</a>, he managed to capture the taxi driving by! Catherine and Bodie are in the back seat:</p><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgGI_tfepzHWa8Jyc1RpmKYRWjFbmcPSmzAaj8k638JWX8daueGe6zzyHElIL4V2xr2F7WiJtIFZstE_W-YJ1tpZfn3Zz102V3GoO7eJE7ABjAZW75exciPEAA8PjzoE2R7JOu27pywUz-odI0SUgcMvOOCadVvS7Aw_fiH5ncVl5LvRVIMZEhAKTY_YxKJ/s2572/BeckTaxi.jpg" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="1452" data-original-width="2572" height="226" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgGI_tfepzHWa8Jyc1RpmKYRWjFbmcPSmzAaj8k638JWX8daueGe6zzyHElIL4V2xr2F7WiJtIFZstE_W-YJ1tpZfn3Zz102V3GoO7eJE7ABjAZW75exciPEAA8PjzoE2R7JOu27pywUz-odI0SUgcMvOOCadVvS7Aw_fiH5ncVl5LvRVIMZEhAKTY_YxKJ/w400-h226/BeckTaxi.jpg" width="400" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;"><i>click to enlarge</i></td></tr></tbody></table>Hans Havermannhttp://www.blogger.com/profile/02313127709134723461noreply@blogger.com0tag:blogger.com,1999:blog-6675735807776567447.post-11542278903187473882024-02-12T07:00:00.088-05:002024-02-29T15:26:14.720-05:00Confined (a loop)<p>I found a loop in Éric Angelini's "confined" sequence (about which I wrote <a href="https://gladhoboexpress.blogspot.com/2024/01/confined.html" target="_blank">last month</a>). Term #60614674264 (= 27651356989742597468495745) is a duplicate of term #18563532230. Differences in the lead-up terms are highlighted here:</p><p><span style="font-family: courier; font-size: x-small;">#18563532226 6912789247<b style="background-color: #01ffff;">43</b>5649367123936 #60614674260 6912789247<b style="background-color: #01ffff;">18</b>5649367123936<br />#18563532227 13825578494<b style="background-color: #01ffff;">8</b>71298734247872 #60614674261 13825578494<b style="background-color: #01ffff;">3</b>71298734247872<br />#18563532228 13825678494<b style="background-color: #01ffff;">8</b>71298734247872 #60614674262 13825678494<b style="background-color: #01ffff;">3</b>71298734247872<br />#18563532229 2765135698<b style="background-color: #01ffff;">9</b>742597468495744 #60614674263 2765135698<b style="background-color: #01ffff;">8</b>742597468495744<br />#18563532230 27651356989742597468495745 <b>=</b> #60614674264 27651356989742597468495745</span></p><p>So we have a loop of length 42051142034. The smallest term in the loop appears to be 507434154592, so here is an abridged loop sequence (asterisk denotes the largest term; three twelve-digit local minima are also shown; <i>indices</i> of all these corrected February 29):</p><p><span style="font-family: courier; font-size: x-small;"> 0 507434154592<br /> 1 1014868309184<br /> 2 2029736618368<br /> 3 2029736718368<br /> 4 4059473436736<br /> 5 8118946873472<br /> 6 8128946873472<br /> 7 16257893746944<br /> 8 16257893746945<br /> 9 32515787493890<br /> 10 65031574987780<br /> 11 65031574987880<br /> 12 65031574987890<br /> 13 130063149975780<br /> 14 131631410075780<br /> 15 13163141175780<br /> 16 13163141275780<br /> 17 26326282551560<br /> 18 26326282561560<br /> 19 52652565123120<br /> 20 105305130246240<br /> ... ...<br /></span><span style="font-size: x-small;"><span style="font-family: courier;">17074586421 49512395802029907136051366345193519491458782692496790312698501120<br /></span><span style="font-family: courier;">17074586422 495123958020210007136051367345193519491458782692496790312698501220 *<br /></span><span style="font-family: courier;">17074586423 4951239580202117136051367345193519491458782692496790312698501230<br /></span><span style="font-family: courier;"> ... ...<br /></span><span style="font-family: courier;"><span style="font-family: courier;">25756695203 5007793970328<br /></span><span style="font-family: courier;">25756695204 517893970328<br /></span><span style="font-family: courier;">25756695205 1035787940656<br /></span><span style="font-family: courier;"> ... ...<br /></span><span style="font-family: courier;">25757984145 5097006463136<br /></span><span style="font-family: courier;">25757984146 509716463136<br /></span><span style="font-family: courier;">25757984147 1019432926272<br /></span><span style="font-family: courier;"> ... ...<br /></span>27813217917 6806950060736<br /></span><span style="font-family: courier;">27813217918 680695160736<br /></span><span style="font-family: courier;">27813217919 1361390321472<br /></span><span style="font-family: courier;"> ... ...<br /></span><span style="font-family: courier;">42051142014 1128050902650182<br /></span><span style="font-family: courier;">42051142015 1228050902650182<br /></span><span style="font-family: courier;">42051142016 1238050902650182<br /></span><span style="font-family: courier;">42051142017 2476101805300364<br /></span><span style="font-family: courier;">42051142018 247610180531364<br /></span><span style="font-family: courier;">42051142019 495220361062728<br /></span><span style="font-family: courier;">42051142020 495230361062728<br /></span><span style="font-family: courier;">42051142021 990460722125456<br /></span><span style="font-family: courier;">42051142022 1000460723125456<br /></span><span style="font-family: courier;">42051142023 11460723125456<br /></span><span style="font-family: courier;">42051142024 12460723125456<br /></span><span style="font-family: courier;">42051142025 24921446250912<br /></span><span style="font-family: courier;">42051142026 24921456250912<br /></span><span style="font-family: courier;">42051142027 49842912501824<br /></span><span style="font-family: courier;">42051142028 99685825003648<br /></span><span style="font-family: courier;">42051142029 10068582513648<br /></span><span style="font-family: courier;">42051142030 1168582513648<br /></span><span style="font-family: courier;">42051142031 1268582513648<br /></span><span style="font-family: courier;">42051142032 2537165027296<br /></span><span style="font-family: courier;">42051142033 5074330054592<br /></span><span style="font-family: courier;">42051142034 507434154592</span></span></p>Hans Havermannhttp://www.blogger.com/profile/02313127709134723461noreply@blogger.com1tag:blogger.com,1999:blog-6675735807776567447.post-65115550512449955852024-02-07T17:32:00.001-05:002024-02-08T11:26:00.874-05:00Back from the vet<p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjDbUfvesMIFDKATPtoJru1ghLURRKlK0FgtVGSZqLt5gFmzq8GLfZkPvoUqrod24y63TsVxMI2Z4Z3BX3Ry1dDLUqlgsbd8uABhEsria7qajTHAn5FTGOR0hbDPDQ2DnMCRrGt1GubjO5xkv0MOEjIZJp3wDSv9eFlKHI2kWxv_1nLUg7QVp4hFOnMAmX4/s1860/BackFromVet.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1860" data-original-width="1198" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjDbUfvesMIFDKATPtoJru1ghLURRKlK0FgtVGSZqLt5gFmzq8GLfZkPvoUqrod24y63TsVxMI2Z4Z3BX3Ry1dDLUqlgsbd8uABhEsria7qajTHAn5FTGOR0hbDPDQ2DnMCRrGt1GubjO5xkv0MOEjIZJp3wDSv9eFlKHI2kWxv_1nLUg7QVp4hFOnMAmX4/w258-h400/BackFromVet.jpg" width="258" /></a></div><br /><a href="https://gladhoboexpress.blogspot.com/2014/07/bodie.html" target="_blank">Ten-year-old</a> Bodie is back from the veterinarian where, this morning, he had surgery to remove five teeth and a papilloma on his back.<p></p>Hans Havermannhttp://www.blogger.com/profile/02313127709134723461noreply@blogger.com0tag:blogger.com,1999:blog-6675735807776567447.post-51752967051784946122024-01-26T19:00:00.008-05:002024-01-27T12:03:20.900-05:00A million-digit Leyland prime (end of 2nd run)My second run of 59754 Leyland-prime candidates was started on 27 April 2023 and resulted in my finding three PRPs (the first column is the number of decimal digits):<div><br /></div><div><div><span style="font-family: courier;">1000905 (197180,119151) Aug 2023</span></div><div><span style="font-family: courier;">1000910 (191319,170462) Jul 2023</span></div><div><span style="font-family: courier;">1000999 (194968,136197) Dec 2023</span></div><div><br /></div><div>I blogged my first run <a href="https://gladhoboexpress.blogspot.com/2023/01/a-million-digit-leyland-prime-end-of-run.html" target="_blank">here</a>. As I did last year, I have documented my <a href="http://chesswanks.com/num/LM9primality.txt" target="_blank">primality-test output</a>. Search for PRP therein to situate the three primes. I have improved my average evaluation time per test from 9.45 hours to 5.55 hours but I was wrong in predicting that "I might be able to shave a couple of months off the total time required". It still took nine months. Some of that expected time saving was eaten up by the additional 218 tests. Some more, perhaps, by down-time as I have had a few battery-back-up units shutting themselves off, presumably because they are getting old. The remainder of the unmaterialized time saving would be an early start on a <i>third</i> search which began on some of my machines back on December 11.</div></div>Hans Havermannhttp://www.blogger.com/profile/02313127709134723461noreply@blogger.com0tag:blogger.com,1999:blog-6675735807776567447.post-57439952805549177502024-01-09T09:38:00.072-05:002024-02-12T07:20:06.813-05:00Confined<p>In Éric Angelini's <a href="https://cinquantesignes.blogspot.com/2024/01/replace-my-twins-triplets-etc-by-1.html" target="_blank">latest effort</a>, he posits some interesting sequences. Specifically, half-way down the page, we have "replace the chunk by [the chunk + 1]". In case this is not entirely clear, allow me to restate the rule. Any integer that contains <i>one or more</i> blocks of identical adjacent digits evolves into another integer where each of these blocks is replaced with the value of the block plus one. Thus 133555777799999000000 becomes 13455677781000001. The two 3s are replaced with 34, the three 5s with 556, the four 7s with 7778, the five 9s with 100000, and the six 0s with 1. If our integer does not contain <i>any</i> blocks of identical adjacent digits, it becomes twice that integer. A starting integer evolves by the repeated application of these rules:</p><p><span style="font-family: courier;">133555777799999000000<br /> 13455677781000001<br /> 1345667788111<br /> 1345677889112<br /> 1345678899122<br /> 13456789100123<br /> 1345678911123<br /> 1345678911223<br /> 1345678912233<br /> 1345678912334<br /> 1345678912344<br /> 1345678912345<br /> 2691357824690<br /> 5382715649380<br /> 10765431298760<br /> 21530862597520<br /> 43061725195040<br /> 86123450390080<br /> 8612345039180<br /> 17224690078360<br /> 1723469178360<br />...</span></p><p>Starting with the integer 1, Giorgos Kalogeropoulos makes the evolution out to be:</p><p><span style="font-family: courier;">1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536, 65636, 131272, 262544, 262545, 525090, 1050180, 2100360, 211360, 212360, 424720, 849440, 849450, 1698900, 169891, 339782, 349782, 699564, 6100564, 611564, 612564, 1225128, 1235128, 2470256, 4940512, 9881024, 9891024, 19782048, 39564096, 79128192, 158256384, 316512768, 633025536, 634025636, 1268051272, 2536102544, 2536102545, 5072205090, 5072305090, 10144610180, 10145610180, 20291220360, 20291230360, 40582460720, 81164921440, 81264921450, 162529842900, 16252984291, 32505968582, ...</span></p><p>He suggests that the sequence seems to "explode to infinity". Actually, that initial explosion levels off after a thousand or so terms:</p><p></p><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgG3XJt41RHk-bSxw5saN52It4wweHMQdVZeeGV5OIzBbTlnXsTpu9ZEPmhxuSO3unZXQvlHCpIqJWfIP_bITKBe3_-j1xKBv9R4w4YfGGQ7Nuw9LR06uWmHgN9438ic1WfNdq1zwBuz0VYX47QYNVsCOV-ujDm3LZQCUcuHjxFHgsOvp1oTy73WhsEx7Zy/s3302/explodes.png" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="1856" data-original-width="3302" height="225" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgG3XJt41RHk-bSxw5saN52It4wweHMQdVZeeGV5OIzBbTlnXsTpu9ZEPmhxuSO3unZXQvlHCpIqJWfIP_bITKBe3_-j1xKBv9R4w4YfGGQ7Nuw9LR06uWmHgN9438ic1WfNdq1zwBuz0VYX47QYNVsCOV-ujDm3LZQCUcuHjxFHgsOvp1oTy73WhsEx7Zy/w400-h225/explodes.png" width="400" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;"><i>click to enlarge</i></td></tr></tbody></table><p></p><p>I was sufficiently interested in this sequence to generate 15 billion terms. I graphed only the local minima and maxima, one each for every million terms. The initial explosion terms are ignored by setting the first minimum to 114782627657382. This way we see the sequence's confined space. Three extrema (one maximum, two 11-digit minima) are identified:</p><p></p><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgRlCS0EsJUog1Si0gxWRJ-prt4gkCA3gTHXz9r0RR9n1M0g1ShdUdhT__GtlKV1lUfXOVscT4rxu_v_WLQgJ3M_z1dKK-_Wicaqh0duHoh0oL7SECRSYqA-3uHtt4nR-X9hWA8XYk1pinU6fXZ7DBpAp9B_-3StJFTtVHautCb4T7P9C36NmDAYtpJfg2W/s3302/confined.png" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="2050" data-original-width="3302" height="249" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgRlCS0EsJUog1Si0gxWRJ-prt4gkCA3gTHXz9r0RR9n1M0g1ShdUdhT__GtlKV1lUfXOVscT4rxu_v_WLQgJ3M_z1dKK-_Wicaqh0duHoh0oL7SECRSYqA-3uHtt4nR-X9hWA8XYk1pinU6fXZ7DBpAp9B_-3StJFTtVHautCb4T7P9C36NmDAYtpJfg2W/w400-h249/confined.png" width="400" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;"><i>click to enlarge</i></td></tr></tbody></table><p></p><p>The minima and maxima medians are ~10^18 and ~10^54. Because of the confined space the sequence <i>will</i> evolve into a loop, but particulars about this loop might never be known. To get a sense of this, be aware that in the graphed 15 billion sequence terms there are only 15 confined 11-digit integers. An additional 23 exist at the start but I cannot include these as being confined. So the sequence generates about one 11-digit integer every 10^9 terms. It could of course be more, or less, because the statistical estimate is based empirically on the 15 billion terms that we have so far examined.</p><p>How many random 11-digit integers are required in order to have a 50% chance that two of them are duplicates? It is roughly 350000. So, we need to generate some 350*10^3*10^9 = 350 <i>trillion</i> terms in order to have a decent shot at <a href="https://gladhoboexpress.blogspot.com/2024/02/confined-loop.html" target="_blank">finding a loop</a>.</p><p><b></b></p>Hans Havermannhttp://www.blogger.com/profile/02313127709134723461noreply@blogger.com0tag:blogger.com,1999:blog-6675735807776567447.post-46709589459325492032023-12-31T23:59:00.001-05:002023-12-31T23:59:00.161-05:0010+9+8*7*6*5+4+321<p>Happy New Year!</p>Hans Havermannhttp://www.blogger.com/profile/02313127709134723461noreply@blogger.com0tag:blogger.com,1999:blog-6675735807776567447.post-45394526381789435942023-12-30T05:11:00.005-05:002023-12-30T17:37:14.331-05:00First digits after the decimal point<p>Éric Angelini is not at the moment updating his latest <a href="https://cinquantesignes.blogspot.com/2023/12/first-decimals-no-leading-zero-after.html" target="_blank">sequence suggestion</a>, so I will post my extension (assuming a 1, 2 start) here:</p><p>1, 2, 11, 5, 42, 4, 94, 7, 74, 20, 27, 129, 101, 777, 7618, 1124, 14753, 1218, 82554, 8156, 98795, 3206, 32451, 499, 15377, 2366, 15386, 1868, 121402, 2419, 199254, 5819, 292038, 9247, 316636, 13812, 43621, 38327, 36725, 95818, 260900, 20134, 771711, 58457, 54269, 92835, 60177, 55065, 91504, 25771, 281635, 53566, 190196, 355062, 1866812, 199551, 10689395, 186879, 17482653, 95960, 54888692, 216986, 39532004, 138119, 34938527, 829143, 23731481, 189726, 7994697, 1908167, 23867906, 7480187, 31339937, 11404557, 36389852, 32664599, 23949435, 5535335, 23112591, 6504115, 6357184, 3851878, 6059094, 489221, 807416, 1650409, 2044061, 12385171, 10283218, 83028464, 807417055, 82135674, 101726454, 26620507, 261687159, 61339564, 2344003581, 48771083, 2080674423, 22994000, ...</p><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhKN7R-_EPSw3JLFw06EsSKB5LCqGPp6Nr-KB7jpaYuLfrBtJLSnB5OmHAORCSL4CkDq049gUMhKWQt9vWOXbPPl_x0T3KZ9UFcabsWBeD_id36ezDC0UWEQgtASfqwOqvpDbIWuZ5ZxbL0_lR1e_Vn6zOLT7uywOJkPY-0xtZDA2NAF25XLZDNEb8qqJn3/s1626/FirstDigitsAfterDecimalPoint.png" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="1004" data-original-width="1626" height="248" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhKN7R-_EPSw3JLFw06EsSKB5LCqGPp6Nr-KB7jpaYuLfrBtJLSnB5OmHAORCSL4CkDq049gUMhKWQt9vWOXbPPl_x0T3KZ9UFcabsWBeD_id36ezDC0UWEQgtASfqwOqvpDbIWuZ5ZxbL0_lR1e_Vn6zOLT7uywOJkPY-0xtZDA2NAF25XLZDNEb8qqJn3/w400-h248/FirstDigitsAfterDecimalPoint.png" width="400" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;"><i>click to enlarge</i></td></tr></tbody></table>Hans Havermannhttp://www.blogger.com/profile/02313127709134723461noreply@blogger.com0tag:blogger.com,1999:blog-6675735807776567447.post-29307816694355175022023-12-21T12:24:00.003-05:002023-12-22T18:33:45.844-05:00Dangerous obsession<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhpTyy7IQut8I4NmHkwB82e1l_6G6z8lpud5zvNUL7cfR9qx_ie-Rm2WtDfdKEwedsyWQIl_BKiAzojxxACYRyYRdVhAtVsT8J9hwBuFRY43M7E5aBOmK2a4ALdXyAbFqmreA6OhN9bMulDXfXu04GdygsRjmcC-_Q78MXx63h-ybGzU7CgnP-8lTLe6EI1/s1280/cleaning.jpg" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="960" data-original-width="1280" height="300" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhpTyy7IQut8I4NmHkwB82e1l_6G6z8lpud5zvNUL7cfR9qx_ie-Rm2WtDfdKEwedsyWQIl_BKiAzojxxACYRyYRdVhAtVsT8J9hwBuFRY43M7E5aBOmK2a4ALdXyAbFqmreA6OhN9bMulDXfXu04GdygsRjmcC-_Q78MXx63h-ybGzU7CgnP-8lTLe6EI1/w400-h300/cleaning.jpg" width="400" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;"><i>wearing clogs on the stove and the countertop</i></td></tr></tbody></table>Hans Havermannhttp://www.blogger.com/profile/02313127709134723461noreply@blogger.com0tag:blogger.com,1999:blog-6675735807776567447.post-34835315551905346282023-12-13T20:10:00.011-05:002023-12-17T05:20:16.763-05:00A million-digit Leyland prime (third one)<p>After <a href="https://gladhoboexpress.blogspot.com/2023/08/a-million-digit-leyland-prime-encore.html" target="_blank">my second find</a>, I really did not think that I would generate another example in my current search space. However, at the upper end of that space:</p><p><span style="font-family: courier;">194968^136197+1*136197^194968 is 3-PRP!</span></p><p>This is now the 14th largest-known Leyland prime. Ryan Propper owns the largest 13:<br /></p><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiXLkMMq5Ibfu1ivRQI-5BISDkOM8_LtHe1xSul8h0DXkMNjMwQUEwk0iEi7usH981iGCEAD6-woDNa7pRxn6AkrmgCVbF1966vDbI1lA3kt7UFIDEpZXGzQ9ZNTqwxNEGn8lUyp3KaBETEF-ypOalFJnOJi2eEX4cgm2MF16ovaWaTXNPaJ5ddgb-rL8eQ/s1581/19MillionDigitLeylandPrimes.jpg" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="930" data-original-width="1581" height="235" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiXLkMMq5Ibfu1ivRQI-5BISDkOM8_LtHe1xSul8h0DXkMNjMwQUEwk0iEi7usH981iGCEAD6-woDNa7pRxn6AkrmgCVbF1966vDbI1lA3kt7UFIDEpZXGzQ9ZNTqwxNEGn8lUyp3KaBETEF-ypOalFJnOJi2eEX4cgm2MF16ovaWaTXNPaJ5ddgb-rL8eQ/w400-h235/19MillionDigitLeylandPrimes.jpg" width="400" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;"><i>19 million-digit Leyland primes (via <a href="https://pzktupel.de/Primetables/TableLeyland1.php" target="_blank">Norman Luhn</a>); n-th Leyland + 1 = <a href="https://oeis.org/A076980" target="_blank">A076980</a> index</i></td></tr></tbody></table>Hans Havermannhttp://www.blogger.com/profile/02313127709134723461noreply@blogger.com0tag:blogger.com,1999:blog-6675735807776567447.post-27041769223849342342023-12-13T14:00:00.008-05:002023-12-13T17:08:02.538-05:00Bucket list #1<p>My original five-piece bucket list is <a href="https://gladhoboexpress.blogspot.com/2022/05/bucket-list.html" target="_blank">here</a> with #2 <a href="https://gladhoboexpress.blogspot.com/2023/10/bucket-list-2.html" target="_blank">here</a>.</p><p><strike>1. Wiener schnitzel (The Coffee Mill closed in 2014; Amber closed in 2021.)</strike></p><p></p><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjq8AWotnbqx4mBHrInUqrfegqCTAb0vJsURa6LeyR-rzlNqdht0wW2qyE2Ohu7vGFD6p6gkK9u67hO8hMQ6UxnUbXigKnJcCSxqLuT2P28ri-ERS0Uf8_F4Az_HW7UkkuR8aJ24HHCagpYqEyDVMzCK1Eg4G9KnRYqf-RZ98G1ceUGAhQkox2EJk6m1R1H/s1564/CafePolonez.jpg" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="1448" data-original-width="1564" height="370" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjq8AWotnbqx4mBHrInUqrfegqCTAb0vJsURa6LeyR-rzlNqdht0wW2qyE2Ohu7vGFD6p6gkK9u67hO8hMQ6UxnUbXigKnJcCSxqLuT2P28ri-ERS0Uf8_F4Az_HW7UkkuR8aJ24HHCagpYqEyDVMzCK1Eg4G9KnRYqf-RZ98G1ceUGAhQkox2EJk6m1R1H/w400-h370/CafePolonez.jpg" width="400" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;"><i>Café Polonez: 195 Roncesvalles Ave</i></td></tr></tbody></table>Catherine and I had lunch today at Café Polonez with Shelley and Denny Mylko. The restaurant is just north of <a href="http://chesswanks.com/blahg/odo/Blog/Entries/2009/8/30_My_abode_2.html" target="_blank">Fern Ave</a>. I of course had the pork schnitzel:<p></p><p></p><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhSxMkRnWkCvquWoG6yMgGK32vQlUaA0cSuEf7zo8fSwQ-AHwfqcUD5mN7gHgHRdsFsoC6429Eh45NuRqd4Y-LS-jra-RLvz-Vnt9HoqWgTkXKV4srDDRkwWtKiq7QU6rrg7dFbkkikix-iUEY8q6Wx4FppFu3K-Tv7NuW5ycWdurtUYlwi0zpZFdPnAwzk/s1212/schnitzel.jpg" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="848" data-original-width="1212" height="280" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhSxMkRnWkCvquWoG6yMgGK32vQlUaA0cSuEf7zo8fSwQ-AHwfqcUD5mN7gHgHRdsFsoC6429Eh45NuRqd4Y-LS-jra-RLvz-Vnt9HoqWgTkXKV4srDDRkwWtKiq7QU6rrg7dFbkkikix-iUEY8q6Wx4FppFu3K-Tv7NuW5ycWdurtUYlwi0zpZFdPnAwzk/w400-h280/schnitzel.jpg" width="400" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;"><i>schnitzel with cole slaw, beets, carrots, and potatoes: $21.95 plus tax</i></td></tr></tbody></table>Very nice!<p></p>Hans Havermannhttp://www.blogger.com/profile/02313127709134723461noreply@blogger.com0tag:blogger.com,1999:blog-6675735807776567447.post-33179100985363675952023-12-06T19:45:00.003-05:002023-12-12T14:14:00.918-05:00Neheim-Hüsten street view<p>Three years ago I wrote <a href="https://gladhoboexpress.blogspot.com/2020/12/ersatz-street-view.html" target="_blank">an article</a> about my Neheim birthhouse, captured from a distance on a bicycle-ride YouTube video. In it, I bemoaned the absence of Google's street view. Today, by chance, I noticed that Google has (from October 2022) a very limited street-view coverage of Neheim (and its 1950s-era twin town of Hüsten):</p><p></p><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEify-VA9NXTP6XqlhZGMVf7qx9lD7SZpoFXm9BFtKY7GKbzkqdA-gq0lSoBCJXl_vzthN9M0HJmitKuOSt_uzCYB4zmBF8WsMLAei0u94GntpuIyLx5hvpyNt1npOnLG7Ew5H1AguwUivjkdsNyiRr2Lq1_0B6ynkgIZ8Gpy5QjobNtjD8nIS4kmDR-dbdC/s2067/Neheim-Hu%CC%88stenStreetView.jpg" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="1561" data-original-width="2067" height="303" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEify-VA9NXTP6XqlhZGMVf7qx9lD7SZpoFXm9BFtKY7GKbzkqdA-gq0lSoBCJXl_vzthN9M0HJmitKuOSt_uzCYB4zmBF8WsMLAei0u94GntpuIyLx5hvpyNt1npOnLG7Ew5H1AguwUivjkdsNyiRr2Lq1_0B6ynkgIZ8Gpy5QjobNtjD8nIS4kmDR-dbdC/w400-h303/Neheim-Hu%CC%88stenStreetView.jpg" width="400" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;">baby-blue roads have street view: <i>click to enlarge</i></td></tr></tbody></table><br />I was fortunate that my birthhouse was visible from <a href="http://chesswanks.com/blahg/odo/Blog/Entries/2009/8/31_My_abode_1.html" target="_blank">Bergheimer Weg</a> (in that 2009 blog post is a link to a 1934 photograph of the house being built):<br /><p></p><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh8JVlDeQWN8fnS9LujV_-qcgqQOLCOAN1cD7FaGmgbK8Ti1XvTW4quwuCDJJrMOh7mupALc-FuKNt46_hs1QxutzMQa1j46G13RhZkCi9AlNzihvHN4MrllxdIUU5l-Hiit7EoA2nkpBxziDEOkjxNqIvc_X8plhTE-pRso1DaLNZ7Ri5PepMr4L21KvaW/s1613/16BergheimerWeg.jpg" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="1382" data-original-width="1613" height="343" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh8JVlDeQWN8fnS9LujV_-qcgqQOLCOAN1cD7FaGmgbK8Ti1XvTW4quwuCDJJrMOh7mupALc-FuKNt46_hs1QxutzMQa1j46G13RhZkCi9AlNzihvHN4MrllxdIUU5l-Hiit7EoA2nkpBxziDEOkjxNqIvc_X8plhTE-pRso1DaLNZ7Ri5PepMr4L21KvaW/w400-h343/16BergheimerWeg.jpg" width="400" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;">Bergheimer Weg 16, October 2022</td></tr></tbody></table>Hans Havermannhttp://www.blogger.com/profile/02313127709134723461noreply@blogger.com0tag:blogger.com,1999:blog-6675735807776567447.post-18154500504344556902023-11-21T13:00:00.011-05:002023-11-25T10:23:26.611-05:00Swap<p>Éric Angelini's blog post last Friday (<a href="https://cinquantesignes.blogspot.com/2023/11/underline-reproduce.html" target="_blank">Underline, reproduce</a>) motivated me to attempt to solve</p><p><b style="caret-color: rgb(117, 117, 117); color: #757575; font-family: Roboto, sans-serif; font-size: 15px;"><span style="font-family: georgia;">S</span><span style="font-family: georgia; font-size: xx-small;">9</span></b><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;"> = </span><span style="caret-color: rgb(117, 117, 117); font-family: georgia; font-size: 15px;"><span style="color: red;">ninth</span></span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">, </span><span style="caret-color: rgb(117, 117, 117); font-family: georgia; font-size: 15px;"><span style="color: red;">twentieth</span></span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">, </span><span style="caret-color: rgb(117, 117, 117); font-family: georgia; font-size: 15px;"><span style="color: red;">thirtieth</span></span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">, fourth, </span><span style="caret-color: rgb(117, 117, 117); font-family: georgia; font-size: 15px;"><span style="color: red;">ninetieth</span></span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">, sixth, seventh, eighth, ...</span></p><p>... wondering how many swaps (of "first, second, third, fourth, fifth, sixth, seventh, eighth, ninth, tenth, eleventh, …") were needed to produce it. It stymied me for a day or so but (using a combination of manual and Mathematica step-throughs) I eventually got this:</p><p><b style="caret-color: rgb(117, 117, 117); color: #757575; font-family: Roboto, sans-serif; font-size: 15px;"><span style="font-family: georgia;">S</span><span style="font-family: georgia; font-size: xx-small;">9</span></b><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;"> = </span><span style="caret-color: rgb(117, 117, 117); font-family: georgia; font-size: 15px;"><span style="color: red;">ninth</span></span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">, </span><span style="caret-color: rgb(117, 117, 117); font-family: georgia; font-size: 15px;"><span style="color: red;">twentieth</span></span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">, </span><span style="caret-color: rgb(117, 117, 117); font-family: georgia; font-size: 15px;"><span style="color: red;">thirtieth</span></span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">, fourth, </span><span style="caret-color: rgb(117, 117, 117); font-family: georgia; font-size: 15px;"><span style="color: red;">ninetieth</span></span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">; sixth, seventh, eighth, </span><span style="caret-color: rgb(117, 117, 117); font-family: georgia; font-size: 15px;"><span style="color: red;">first</span></span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">, tenth, </span><span style="caret-color: rgb(117, 117, 117); font-family: georgia; font-size: 15px;"><span style="color: red;">second</span></span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">, twelfth, </span><span style="caret-color: rgb(117, 117, 117); font-family: georgia; font-size: 15px;"><span style="color: red;">fifteenth</span></span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">, </span><span style="caret-color: rgb(117, 117, 117); font-family: georgia; font-size: 15px;"><span style="color: red;">thirtyeighth</span></span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">; </span><span style="caret-color: rgb(117, 117, 117); font-family: georgia; font-size: 15px;"><span style="color: red;">thirteenth</span></span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">, </span><span style="caret-color: rgb(117, 117, 117); font-family: georgia; font-size: 15px;"><span style="color: red;">fifth</span></span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">, </span><span style="caret-color: rgb(117, 117, 117); font-family: georgia; font-size: 15px;"><span style="color: red;">eleventh</span></span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">, eighteenth, nineteenth, </span><span style="caret-color: rgb(117, 117, 117); font-family: georgia; font-size: 15px;"><span style="color: red;">seventeenth</span></span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">, twentyfirst, twentysecond, </span><span style="caret-color: rgb(117, 117, 117); font-family: georgia; font-size: 15px;"><span style="color: red;">fourteenth</span></span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">; twentyfourth, twentyfifth, twentysixth, twentyseventh, twentyeighth, </span><span style="caret-color: rgb(117, 117, 117); font-family: georgia; font-size: 15px;"><span style="color: red;">sixteenth</span></span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">; </span><span style="caret-color: rgb(117, 117, 117); font-family: georgia; font-size: 15px;"><span style="color: red;">third</span></span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">, thirtyfirst, thirtysecond, thirtythird, thirtyfourth, thirtyfifth, thirtysixth, thirtyseventh, </span><span style="caret-color: rgb(117, 117, 117); font-family: georgia; font-size: 15px;"><span style="color: red;">twentythird</span></span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">; thirtyninth, fortieth, fortyfirst, fortysecond, </span><span style="caret-color: rgb(117, 117, 117); font-family: georgia; font-size: 15px;"><span style="color: red;">twentyninth</span></span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">; fortyfourth, fortyfifth, fortysixth, fortyseventh, fortyeighth, fortyninth, </span><span style="caret-color: rgb(117, 117, 117); font-family: georgia; font-size: 15px;"><span style="color: red;">fortythird</span></span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">; fiftyfirst, fiftysecond, fiftythird, </span><span style="caret-color: rgb(117, 117, 117); font-family: georgia; font-size: 15px;"><span style="color: red;">fiftieth</span></span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">, fiftyfifth, </span><span style="caret-color: rgb(117, 117, 117); font-family: georgia; font-size: 15px;"><span style="color: red;">fiftyfourth</span></span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">; fiftyseventh, fiftyeighth, fiftyninth, sixtieth, sixtyfirst; sixtysecond, sixtythird, sixtyfourth, sixtyfifth, </span><span style="caret-color: rgb(117, 117, 117); font-family: georgia; font-size: 15px;"><span style="color: red;">fiftysixth</span></span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">; sixtyseventh, sixtyeighth, sixtyninth, seventieth, seventyfirst, seventysecond; seventythird, seventyfourth, seventyfifth, seventysixth, seventyseventh, seventyeighth, </span><span style="caret-color: rgb(117, 117, 117); font-family: georgia; font-size: 15px;"><span style="color: red;">sixtysixth</span></span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">; eightieth, eightyfirst, eightysecond, eightythird, eightyfourth, eightyfifth, eightysixth, eightyseventh, </span><span style="caret-color: rgb(117, 117, 117); font-family: georgia; font-size: 15px;"><span style="color: red;">seventyninth</span></span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">; eightyninth, </span><span style="caret-color: rgb(117, 117, 117); font-family: georgia; font-size: 15px;"><span style="color: red;">eightyeighth</span></span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">, ninetyfirst, ninetysecond, ninetythird, ninetyfourth, ninetyfifth, ninetysixth, ninetyseventh, ninetyeighth, ninetyninth, onehundredth; ...</span></p><p>In case you are still wondering what this is all about, the sequence of written-out ordinals reproduces itself if you take its 9th, 20th, 30th, 4th, 90th; 6th, 7th, 8th, 1st, 10th, 2nd, 12th, 15th, 38th; 13th, etc. letters. I have replaced commas with semicolons where the spelling of each ordinal ends. The semicolon after "onehundredth" indicates the end of "thirtyeighth".</p><p>So I told Éric that there were 24 swaps, i.e. red-lettered ordinals (where the number does not correspond to its position in the sequence). But in my mind "swap" has a strong sense of pairwise exchanges, which is not the case here. There <i>are</i> three such pairwise exchanges: Positions 1 with 9, 3 with 30, and 13 with 15. But the rest are more involved. Position 14 goes to 38, which goes to 23 (which goes to 14). Position 2 goes to 20, which goes to 17, which goes to 11 (which goes to 2). Finally, position 5 goes to 90, which goes to 88, which goes to 79, which goes to 66, which goes to 56, which goes to 54, which goes to 50, which goes to 43, which goes to 29, which goes to 16 (which goes to 5).</p><p><b>Update:</b> I've calculated <a href="http://chesswanks.com/num/UnderlineReproduce(tenth).txt" target="_blank">11001 indexed terms</a> for</p><p><b style="caret-color: rgb(117, 117, 117); color: #757575; font-family: Roboto, sans-serif;"><span style="font-family: georgia;"><span style="font-size: 15px;">S</span><span style="font-size: xx-small;">10</span></span></b><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;"> = </span><span style="caret-color: rgb(117, 117, 117); font-family: georgia; font-size: 15px;"><span style="color: red;">tenth</span></span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">, </span><span style="caret-color: rgb(117, 117, 117); font-family: georgia; font-size: 15px;"><span style="color: red;">eighteenth</span></span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">, </span><span style="caret-color: rgb(117, 117, 117); font-family: georgia; font-size: 15px;"><span style="color: red;">twentyeighth</span></span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">, </span><span style="caret-color: rgb(117, 117, 117); color: red; font-family: georgia; font-size: 15px;">ninetieth</span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">, </span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">fifth; </span><span style="caret-color: rgb(117, 117, 117); color: red; font-family: georgia; font-size: 15px;">second</span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">, seventh, eighth, </span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">ninth, </span><span style="caret-color: rgb(117, 117, 117); color: red; font-family: georgia; font-size: 15px;">first</span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">, </span><span style="caret-color: rgb(117, 117, 117); font-family: georgia; font-size: 15px;"><span style="color: red;">sixth</span></span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">, </span><span style="caret-color: rgb(117, 117, 117); color: red; font-family: georgia; font-size: 15px;">eleventh</span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">, </span><span style="font-family: georgia;"><span style="font-size: 15px;"><span style="color: red;">eleventhousandth</span><span style="color: #757575;">, </span><span style="color: red;">fourth</span><span style="color: #757575;">, </span></span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-size: 15px;">fifteenth; </span></span><span style="font-family: georgia;"><span style="font-size: 15px;"><span style="color: red;">fourteenth</span><span style="color: #757575;">, seventeenth, </span><span style="color: red;">twelfth</span><span style="color: #757575;">, </span><span style="color: red;">third</span><span style="color: #757575;">, </span><span style="color: red;">sixteenth</span><span style="color: #757575;">, twentyfirst, twentysecond, twentythird, twentyfourth, twentyfifth, </span><span style="color: red;">twentieth</span><span style="color: #757575;">, twentyseventh; </span></span></span><span style="caret-color: rgb(117, 117, 117); color: #757575; font-family: georgia; font-size: 15px;">...</span></p><p>In the linked file, the 1098 red entries are indicated by an asterisk at the end of the line.</p>Hans Havermannhttp://www.blogger.com/profile/02313127709134723461noreply@blogger.com1tag:blogger.com,1999:blog-6675735807776567447.post-32896022991367740032023-11-20T21:57:00.000-05:002023-11-20T21:57:32.564-05:00Man versus nature<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiLk87Ua7R_p66CgsnbvQe7k1xD1YbaF0IFCnoXvFh313PmYftZgMrQsS0p2MsC8FfeU5maBldUVmoHjAzhDOuWZYVSh1pqbrTPCjjH5cdNSwPxhtBA1EhPFij8Y2_gMymSonqrnrowpoqxGIn1R_zarzeecwITZvWuz9AvpkQ3F4gIciyxPuWGJGCbqK75/s1280/MvsN.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="854" data-original-width="1280" height="268" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiLk87Ua7R_p66CgsnbvQe7k1xD1YbaF0IFCnoXvFh313PmYftZgMrQsS0p2MsC8FfeU5maBldUVmoHjAzhDOuWZYVSh1pqbrTPCjjH5cdNSwPxhtBA1EhPFij8Y2_gMymSonqrnrowpoqxGIn1R_zarzeecwITZvWuz9AvpkQ3F4gIciyxPuWGJGCbqK75/w400-h268/MvsN.jpg" width="400" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;"><i>two men with leaf blowers (across the street, last Thursday)</i></td></tr></tbody></table><br /><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjQxxlZt9ggeLs697nyjSm5hZr9AGqSkNsnTAlALgZpmT2Ns7XlBHIKIcXO8B9-SkiL5p3KejEZIdyCQNHvl6DuZVJpqG2ELWScArlaLZywYKomZbaxyoBiVgyJ7E4FKE1n5E8SqKIdWn7SkT1vsDlrvlg4gKaQlf2Uu8meQAFLangkh9tVW9f94cHZB3t8/s1280/NvsM.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="854" data-original-width="1280" height="268" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjQxxlZt9ggeLs697nyjSm5hZr9AGqSkNsnTAlALgZpmT2Ns7XlBHIKIcXO8B9-SkiL5p3KejEZIdyCQNHvl6DuZVJpqG2ELWScArlaLZywYKomZbaxyoBiVgyJ7E4FKE1n5E8SqKIdWn7SkT1vsDlrvlg4gKaQlf2Uu8meQAFLangkh9tVW9f94cHZB3t8/w400-h268/NvsM.jpg" width="400" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;"><i>same driveway (left) this morning</i></td></tr></tbody></table>Hans Havermannhttp://www.blogger.com/profile/02313127709134723461noreply@blogger.com0tag:blogger.com,1999:blog-6675735807776567447.post-84960079455309567052023-11-14T16:00:00.034-05:002023-11-18T11:31:13.848-05:00Doctor in the Tardis<p>After a decade-long hiatus of <a href="https://gladhoboexpress.blogspot.com/2022/08/the-tooth-abscess.html" target="_blank">not seeing my family doctor</a>, on September 27 I had my first appointment with a <i>new</i> doctor. After taking down some of my personal information we agreed to my doing a blood test and an Ontario Health fecal immunochemical test. In an October 13 phone appointment, he relayed the bad news: My cholesterol was high, which when combined with my family history of stroke (my father had one) suggested medication. When I indicated reticence to go on meds he allowed me a three-month reprieve of diet and exercise followed by a retest. To add insult to injury, the fecal test proved abnormal, inviting a colonoscopy. I suggested that the result was a false positive based on contamination with hemorrhoidal bleeding.</p><p>So I spent a month researching the matter and, this afternoon, saw him in order to share my findings. I decided ahead of time not to get into the family-history-of-stroke matter which I saw as <i>confirmation bias</i> on his part (he didn't even know at what age my father had the stroke). The diet-and-exercise bit is of course something to be suggested regardless (as it is generally worthwhile), not as a designed-to-fail antidote to statins. I wasn't going to get into that either as it evidenced a desire to get me on meds and I didn't want to be confrontational. At any rate, the matter was moot as I had found sources that suggested (in the absence of cardiovascular disease, diabetes, etc.) that I had no need to be on meds.</p><p>First, I presented Dr. Ian Neeland's (22 Dec 2020) podcast quotation of "10 years on a statin with low LDL cholesterol might decrease your risk [of heart attack, stroke, etc.] by 20 percent" as being (for me) a negligible benefit. Next, I presented Robert M. Kaplan's (3 Apr 2019) opinion piece on preventing heart disease, starting with some absolute risk-of-dying meta-analysis statistics and concluding with "... observations on people over the age of 70 do not show <i>any</i> statistically significant statin-related reductions in deaths from any cause."</p><p>Throughout most of the session my doctor seemed overly defensive, mildly angry perhaps. He interrupted me several times, explained that he was following guidelines, and cautioned me on cherry-picking data. He closed the door to the hallway at one point. Much more was said but I choose here to be brief.</p><p>I had run out of my 15 minutes and I hadn't yet dealt with the fecal test. I asked for a couple more minutes. I explained my false-positive belief, suggested that it didn't matter anyways because I had "a very low long-term risk of colorectal cancer" based on a (19 Sep 2013) study on long-term colorectal-cancer incidence and mortality. I finished with Michael Bretthauer's "gold-standard trial" that had colonoscopies cutting cancer risk by only a fifth with no significant reduction in colon cancer mortality. How do you like <i>them</i> <strike>apples</strike> cherries?<br /></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhZwINKoTP5KPmxcEr3Or13Cd_d6pf60_RaSvCEJMeGZ4si0gnQ6d1GRtao8g4LODEPqDEfO_jDr_Tvp3BzsPMIIM8M1cfHJaEwI5UfaEUV4YMy2VuNnNw8ZQOirt7xujixD9YpvVwzK5bxX-oqGRhvbQsNu8z89uJfXyOKsBB3-00FFA4x31q-q2opZaXl/s878/cherries.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="616" data-original-width="878" height="281" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhZwINKoTP5KPmxcEr3Or13Cd_d6pf60_RaSvCEJMeGZ4si0gnQ6d1GRtao8g4LODEPqDEfO_jDr_Tvp3BzsPMIIM8M1cfHJaEwI5UfaEUV4YMy2VuNnNw8ZQOirt7xujixD9YpvVwzK5bxX-oqGRhvbQsNu8z89uJfXyOKsBB3-00FFA4x31q-q2opZaXl/w400-h281/cherries.jpg" width="400" /></a></div><p></p>Hans Havermannhttp://www.blogger.com/profile/02313127709134723461noreply@blogger.com0tag:blogger.com,1999:blog-6675735807776567447.post-57778778392968367222023-11-04T17:55:00.034-04:002023-11-06T17:27:14.962-05:00New Jersey<p>Rogue Amoeba has updated their Audio Hijack to version 4.3 and I had been meaning to upgrade my 3.7 app for a while now. Tipping the scale was a "transcribe" block that I thought might prove interesting in attempting the lyrics to Dave Van Ronk's <a href="https://www.youtube.com/watch?v=d8wKtYYX0OE" target="_blank">Garden State Stomp</a>. There were two available options for the transcription: <i>high accuracy</i> which, in spite of the lengthy time that it took, proved abysmal, and <i>low resources</i> which, utilizing an AI-based <a href="https://en.wikipedia.org/wiki/Large_language_model" target="_blank">Large Language Module</a>, was just as bad, only with added nonsense.</p><p>Places per line are 4/4/12 (times 4 = 80). Lyrics/spelling as per the video:</p><p><span style="font-family: courier;">Allamuchy, Hacklebarney, Rockaway, Piscataway.<br /></span><span style="font-family: courier;">Ho-Ho-Kus, Secaucus, Lower Squankum, Fair Play.<br /></span><span style="font-family: courier;">Wanamassa, Succasunna, Manumuskin, Plumbsock, Bivalve, Buckshutem,<br /> Turkey Foot, Macanippuck, Jugtown, Febletown, Nummytown, Rahway.</span></p><p><span style="font-family: courier;">Wickatunk, Manunka Chunk, Mantua, Mizpah.<br /></span><span style="font-family: courier;">Manasquan, Raritan, Matawan, Totowa.<br /></span><span style="font-family: courier;">Whippany, Parsippany, Penny Pot, Hackensack, Batsto, Nesco,<br /> Metedeconk, Peapack, Loch Arbour, Egg Harbor, Swinesburg, Caviar.</span></p><p><span style="font-family: courier;">Cheesequake, Boy Scout Lake, Moonachie, Tenafly.<br /></span><span style="font-family: courier;">Netcong, Watchung, Pluckemin, Mount Misery.<br /></span><span style="font-family: courier;">Bardonia, Ironia, Colonia, Weehawken, Manahawkin, Mantoloking,<br /> Mahalala, Pennsauken, Dutchtown*, Ironbound, Frelinghuysen, Lodi.</span></p><p><span style="font-family: courier;">Hardscrabble, Double Trouble, Picatinny, Montague.<br /></span><span style="font-family: courier;">Muckshaw Pond, Ockanickon, Espanong, Ocean View.<br /></span><span style="font-family: courier;">Navesink, Shabakunk, Ongs Hat, Jumbo, Wortendyke, Water Witch,<br /> Blue Ball, Ringoes, Matchaponix, Delawanna, Wawayanda, Timbuctoo.</span></p><p><span style="font-family: courier;"><span face="-webkit-standard">* which Van Ronk seems to pronounce <a href="https://en.wikipedia.org/wiki/Ducktown,_Atlantic_City" target="_blank">Ducktown</a>.</span></span></p>Hans Havermannhttp://www.blogger.com/profile/02313127709134723461noreply@blogger.com0tag:blogger.com,1999:blog-6675735807776567447.post-72352861542779058442023-10-29T19:00:00.053-04:002023-11-04T16:53:04.014-04:00Bucket list #2<p>My original five-piece bucket list is <a href="https://gladhoboexpress.blogspot.com/2022/05/bucket-list.html" target="_blank">here</a> with #3 <a href="https://gladhoboexpress.blogspot.com/2023/04/bucket-list-3.html" target="_blank">here</a>.</p><p><strike>2. China Town (Their online ordering system stopped working a few years ago.)</strike></p><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhqMI7Tm2qZjqSHVOk0D1fsZe62bcB8u11FOSpprX6Tuj3BckD40jYG6uMUfOtbtOZp9CaKOPc4Hpd1RX522GChpgpiDmpj3uk_OKYaZlqLCJuNaNT2F0f3BwvQ2QUpKBx1JcycGw0HD-MKKuh3JE3o5GLFiHMZ5U4ESR7mN1nWSrN14gIqtONl78D0RIfp/s2086/ChinaTown.jpg" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="808" data-original-width="2086" height="155" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhqMI7Tm2qZjqSHVOk0D1fsZe62bcB8u11FOSpprX6Tuj3BckD40jYG6uMUfOtbtOZp9CaKOPc4Hpd1RX522GChpgpiDmpj3uk_OKYaZlqLCJuNaNT2F0f3BwvQ2QUpKBx1JcycGw0HD-MKKuh3JE3o5GLFiHMZ5U4ESR7mN1nWSrN14gIqtONl78D0RIfp/w400-h155/ChinaTown.jpg" width="400" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;"><i>1790 Jane Street @ John Street</i></td></tr></tbody></table><p>The picture is Google street view (July 2023). I did eventually find another website ordering system for them but I was reluctant to use it in case it was a scam. Researching the website provider (MealKeyway), I decided finally that it was ok.</p><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiL90nQYhMoQpto3Mdj4dFNO5LOcVu4JrA3bxk5Pq6qbwD-BEeOTHYydvNwv8Tmky0b_F1XB9VzbPR8IajZbTX9DIW3-hSlumBRpPdqCnBthyldFnBrvoq7jJfPeaPrid3Jporglt4LC7sJZYgltThPFYDd7mikMaN5FQVFL-GRCh8e20uI-U_o9Py-zS45/s1280/ChinaTown@home.jpg" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="854" data-original-width="1280" height="268" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiL90nQYhMoQpto3Mdj4dFNO5LOcVu4JrA3bxk5Pq6qbwD-BEeOTHYydvNwv8Tmky0b_F1XB9VzbPR8IajZbTX9DIW3-hSlumBRpPdqCnBthyldFnBrvoq7jJfPeaPrid3Jporglt4LC7sJZYgltThPFYDd7mikMaN5FQVFL-GRCh8e20uI-U_o9Py-zS45/w400-h268/ChinaTown@home.jpg" width="400" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;"><i>3 large Beef Fried Rice (no onion) $22.47; Sweet & Sour Chicken Balls $11.99; Fried Mixed Vegetables (no onion) $9.99; there's a $40 minimum food-only order; tax $5.78; delivery $4.99; tip $3.00; rounding -$0.02: total $58.20</i></td></tr></tbody></table><p>Pretty much the way I remembered it, although I used to get BBQ chicken wings as well. I hadn't before used a no-onion option on the mixed vegetables. They replaced it with more broccoli which (unfortunately) was excessively salty. I guess the florets/buds retain a lot of the briny broth. I can run them under the faucet in the leftover reheats.</p>Hans Havermannhttp://www.blogger.com/profile/02313127709134723461noreply@blogger.com0tag:blogger.com,1999:blog-6675735807776567447.post-49535026563445983312023-10-28T04:37:00.008-04:002023-10-28T12:15:34.185-04:00Leaving<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg2XEJ1UnxeKid8SO2xf34vC3NFsOAlfvMAZSKkfQIqwMuaX33BHWzf5oDnYfEUHI0O0QaFu1LwD2a4d8ozbNh13rJV1BvqXH_KSkYsRSu4GIphWCfJPDPX_HcaJ6vJPdEqoJ5aV4KroQAp0DhyphenhyphenloBIq5q7wnQZNlgfwqF5meYxAM9xhvniC2gzmLp5VXz1/s1280/leaving.jpg" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="854" data-original-width="1280" height="268" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg2XEJ1UnxeKid8SO2xf34vC3NFsOAlfvMAZSKkfQIqwMuaX33BHWzf5oDnYfEUHI0O0QaFu1LwD2a4d8ozbNh13rJV1BvqXH_KSkYsRSu4GIphWCfJPDPX_HcaJ6vJPdEqoJ5aV4KroQAp0DhyphenhyphenloBIq5q7wnQZNlgfwqF5meYxAM9xhvniC2gzmLp5VXz1/w400-h268/leaving.jpg" width="400" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;"><i>a tree shedding its leaves in the breeze</i></td></tr></tbody></table>Hans Havermannhttp://www.blogger.com/profile/02313127709134723461noreply@blogger.com0tag:blogger.com,1999:blog-6675735807776567447.post-7160456165782094652023-10-24T19:53:00.008-04:002023-10-25T14:39:36.222-04:00AD one billion<p>Éric Angelini's <a href="https://cinquantesignes.blogspot.com/2023/10/ad.html" target="_blank">latest offering</a> is based on the absolute differences (AD, be they odd or even) of an integer sequence's adjacent digits determining the sequence's new numbers. After Giorgos Kalogeropoulos posted one million terms, I struggled to better his (apparently Mathematica) result to five million terms before realizing that my one-at-a-time <b>AppendTo</b> approach was not the best tool for this game.</p><p>Starting with 315 terms of the sequence (s) we generate — in twelve steps — over one billion terms by repetitively determining the adjacent-digits sequence, creating therefrom an absolute differences sequence, and applying a sign change to those differences that are even. Prepend zero, <b>Accumulate</b>, add 10.</p><p><span style="font-family: courier;">Table[d=Flatten[IntegerDigits[s]]; c=Abs[Most[d]-Rest[d]]; f=Prepend[Table[If[OddQ[c[[i]]],c[[i]],-c[[i]]], {i,Length[c]}], 0]; s=Accumulate[f]+10; Length[s], {12}]</span></p><p><span style="font-family: courier;">{577, 1181, 2719, 6976, 19556, 57525, 203635, 791890, 3733165, 21270116, 140287834, 1002951921}</span></p><p>That's it! Truncate the final 1002951921 terms to 10^9 terms, take every tenth integer (Mathematica has trouble enough plotting 100 million points), and graph:</p><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgiDJXKUzHcFLTcrlAmtkI6UWC5vzl1DpvE4qmVAqlUT94doHlldYbN57nngQKs7UJsU2h3iRGco9TsEU9fBgDXa3Q50RWMNWTAkoWHWGfMGPSZ9TYlvLjLLVfORd8u0qOS0AhV9nOkT9AsCk8uwlswP5ktEhzff6N5YD29tFs1e5WNLQsgFOXmuWnHx_fc/s3996/AD1b.png" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="2318" data-original-width="3996" height="233" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgiDJXKUzHcFLTcrlAmtkI6UWC5vzl1DpvE4qmVAqlUT94doHlldYbN57nngQKs7UJsU2h3iRGco9TsEU9fBgDXa3Q50RWMNWTAkoWHWGfMGPSZ9TYlvLjLLVfORd8u0qOS0AhV9nOkT9AsCk8uwlswP5ktEhzff6N5YD29tFs1e5WNLQsgFOXmuWnHx_fc/w400-h233/AD1b.png" width="400" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;"><i>click to enlarge</i></td></tr></tbody></table>Hans Havermannhttp://www.blogger.com/profile/02313127709134723461noreply@blogger.com0tag:blogger.com,1999:blog-6675735807776567447.post-42756681781942123192023-09-28T14:02:00.003-04:002023-09-28T14:10:07.869-04:00Recycling<p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhu5MvHqWn1SXVrq7uhV-2EU4EMKYsoemZcEF6alDDUNC9sSnSAupkmTw3aRzjPUqRpPvAfFA-Kixuiih7ou6KTwWUbu2tByGhcipld4rK0G7UnHVfn7lbpvA_2R8EJjtsUcZwTNZmGrehIO6SDbDmzIqNLp6XEciTBuRef1xLwTgvFIfKqifRE2XF7jlZj/s1385/recycling.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1385" data-original-width="1200" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhu5MvHqWn1SXVrq7uhV-2EU4EMKYsoemZcEF6alDDUNC9sSnSAupkmTw3aRzjPUqRpPvAfFA-Kixuiih7ou6KTwWUbu2tByGhcipld4rK0G7UnHVfn7lbpvA_2R8EJjtsUcZwTNZmGrehIO6SDbDmzIqNLp6XEciTBuRef1xLwTgvFIfKqifRE2XF7jlZj/w346-h400/recycling.jpg" width="346" /></a></div><br />This is the sixth recycling bin put out for city collection containing mostly old journals and magazines. It was precipitated (literally) by the <a href="https://gladhoboexpress.blogspot.com/2023/07/trouble-above.html" target="_blank">roof leak</a> that meandered through an upstairs slanted ceiling closet I was using as storage space. Even though I am holding back on my most prized collections, I think it likely that I will contribute another six bins before I am done. Here's a photo of some of the "paper" that has (mostly) already gone:<br /><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiCrM15sCzgn-zuk21zNSIeXB19rmh6-DBM8rkeXUrIdeWcb6dBEScr30UjTu9D_45ZeTGDZN5xWNDhn515dw179s8qO21sRaDDNhtMeu9yoWnVXRbyXASgvI3kY3wgtApb-gTJpuWrk75XpK8F-xqZU4-y03YCyA2voMtWch9kxFxYtbhx2ktqsJhtumJs/s1248/old.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="828" data-original-width="1248" height="265" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiCrM15sCzgn-zuk21zNSIeXB19rmh6-DBM8rkeXUrIdeWcb6dBEScr30UjTu9D_45ZeTGDZN5xWNDhn515dw179s8qO21sRaDDNhtMeu9yoWnVXRbyXASgvI3kY3wgtApb-gTJpuWrk75XpK8F-xqZU4-y03YCyA2voMtWch9kxFxYtbhx2ktqsJhtumJs/w400-h265/old.jpg" width="400" /></a></div>Hans Havermannhttp://www.blogger.com/profile/02313127709134723461noreply@blogger.com0tag:blogger.com,1999:blog-6675735807776567447.post-26719207153787021662023-09-03T12:23:00.006-04:002023-09-03T14:26:37.051-04:00Air show<p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh11p0e5FX4ZjDIt3Tuf2WtKc-i9uDxd2zkyGblT2DiKHErccMuVClEYWwwHuPnPRCVfMcqrVsS-hhQr_gbWdCnHZlnRJZzFDf07Bf_5ejSbyQbq_--EnyNB_enQBCfNKWRPgAFT5pNtE7uR58wtUGHpiOFOA4qKvlhcNW8vp2Z6xpT6W-6kTxxw0N4AYub/s3183/jets.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="2007" data-original-width="3183" height="253" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh11p0e5FX4ZjDIt3Tuf2WtKc-i9uDxd2zkyGblT2DiKHErccMuVClEYWwwHuPnPRCVfMcqrVsS-hhQr_gbWdCnHZlnRJZzFDf07Bf_5ejSbyQbq_--EnyNB_enQBCfNKWRPgAFT5pNtE7uR58wtUGHpiOFOA4qKvlhcNW8vp2Z6xpT6W-6kTxxw0N4AYub/w400-h253/jets.jpg" width="400" /></a></div><br />Looking southeast from my back deck, I'm guessing these are the U.S. Navy Blue Angels.<p></p>Hans Havermannhttp://www.blogger.com/profile/02313127709134723461noreply@blogger.com0tag:blogger.com,1999:blog-6675735807776567447.post-49150520179574717362023-08-10T23:20:00.001-04:002023-08-11T11:20:35.619-04:00A million-digit Leyland prime (encore)Hot on the heels of <a href="https://gladhoboexpress.blogspot.com/2023/07/a-million-digit-leyland-prime-i-got.html" target="_blank">my million-digit Leyland prime find</a>, I have come across another one:<br /><div><br /></div><div><span style="font-family: courier;">197180^119151+1*119151^197180 is 3-PRP!</span></div><div><br /></div><div>This one was a little unexpected because it is so close in size to my other one, a mere <a href="http://factordb.com/index.php?showid=1100000004704086285" target="_blank">five decimal digits less</a>. The current top-five Leyland prime leaderboard now looks like this (the first column is the number of digits):</div><div><br /></div><div><div><span style="font-family: courier;">1717671 (1343238,19) Ryan Propper May 2023</span></div><div><span style="font-family: courier;">1433792 (300102,59935) Ryan Propper May 2023</span></div><div><span style="font-family: courier;">1268947 (1139148,13) Ryan Propper Jul 2023</span></div><div><span style="font-family: courier;">1000910 (191319,170462) Hans Havermann Jul 2023</span></div><div><span style="font-family: courier;">1000905 (197180,119151) Hans Havermann Aug 2023</span></div></div>Hans Havermannhttp://www.blogger.com/profile/02313127709134723461noreply@blogger.com0tag:blogger.com,1999:blog-6675735807776567447.post-1430838164076736152023-08-08T03:14:00.013-04:002023-09-22T19:40:53.436-04:00833719/265381<p>Based on the simple continued fraction of π, its convergents (rational approximations) are: 3/1, 22/7, 333/106, 355/113, 103993/33102, 104348/33215, 208341/66317, 312689/99532, 833719/265381, 1146408/364913, ...</p><p>Prime numerators are at position 1, 5, 9, ... Prime denominators are at position 2, 4, 9, ... The ninth convergent therefore has <i>both</i> prime numerator <i>and</i> prime denominator, <a href="https://oeis.org/A086785" target="_blank">noted ~2003 in the OEIS</a>. It seems unlikely that we will ever see another such.</p><p>I thought it might be useful to have here a listing of the <i>positions</i> of prime numerators (<i>p/</i>) and prime denominators (<i>/p</i>) so as to better assess the rarity of their confluence:</p><p><span style="font-family: courier;">1/<br /></span><span style="font-family: courier;">/2<br /></span><span style="font-family: courier;">/4<br /></span><span style="font-family: courier;">5/<br /></span><span style="font-family: courier;"><b>9/<br /></b></span><span style="font-family: courier;"><b>/9</b><br /></span><span style="font-family: courier;">11/<br /></span><span style="font-family: courier;">16/<br /></span><span style="font-family: courier;">/33<br /></span><span style="font-family: courier;">87/<br /></span><span style="font-family: courier;">230/<br /></span><span style="font-family: courier;">334/<br /></span><span style="font-family: courier;">594/<br /></span><span style="font-family: courier;">/595<br /></span><span style="font-family: courier;">840/<br /></span><span style="font-family: courier;">853/<br /></span><span style="font-family: courier;">/1127<br /></span><span style="font-family: courier;">1149/<br /></span><span style="font-family: courier;">/2003<br /></span><span style="font-family: courier;">2726/<br /></span><span style="font-family: courier;">/3611<br /></span><span style="font-family: courier;">3788/<br /></span><span style="font-family: courier;">/4356<br /></span><span style="font-family: courier;">/6926<br /></span><span style="font-family: courier;">7442/<br /></span><span style="font-family: courier;">8751/<br /></span><span style="font-family: courier;">/25333<br /></span><span style="font-family: courier;">/27652<br /></span><span style="font-family: courier;">/32395<br />/37722<br />42038/<br />/114199<br />143753/<br /></span><span style="font-family: courier;">...</span></p>Hans Havermannhttp://www.blogger.com/profile/02313127709134723461noreply@blogger.com0