{"id":195,"date":"2015-04-26T22:17:35","date_gmt":"2015-04-26T22:17:35","guid":{"rendered":"http:\/\/math.herbzinser17.com\/?p=195"},"modified":"2025-09-06T20:30:20","modified_gmt":"2025-09-06T20:30:20","slug":"the-force-field-death-of-hannah-graham-explained-by-her-line-integral","status":"publish","type":"post","link":"https:\/\/region10.herbzinser07.com\/dir\/017-math\/2015\/04\/26\/the-force-field-death-of-hannah-graham-explained-by-her-line-integral\/","title":{"rendered":"The force field death of Hannah Graham explained by her line integral"},"content":{"rendered":"<p>RD-blog-number-5136 by Herb Zinser reviews Nature&#8217;s mathematical-physics wars \u00a0and biochemistry \u00a0DNA wars \u00a0for control of EARTH civilizations and their ERRORS and PROBLEMS.<\/p>\n<p>&nbsp;<\/p>\n<p>Let&#8217;s look at some anaysis of news EVENTS. I repeat another blog post here that lays the information foundation for \u00a0the \u00a0math view about \u00a0Hannah Graham&#8217;s tragic death.<\/p>\n<h2><\/h2>\n<h2><span style=\"color: #ff0000;\">University of Virginia fails integration by parts calculus test to save Hannah Graham<\/span><\/h2>\n<p>Rd-blog-number-5132 by Herb Zinser reviews various DNA bio-math and bio-physics conflicts in the United states and Great Britain.<\/p>\n<p>Let&#8217;s look at another post that descibes a situation ..and then we shall look at the University of Virginia (UV) campus system and their DNA math problems and the mathematics death of Hannah Graham ..her final message &#8230;&#8230; \u00a0a math curve that she drew while walking in downtown Charolette, NC &#8211;&gt; Numerical Control region of North Carolina.<\/p>\n<h2 class=\"blog-title\"><a class=\"blog-title-link blog-link\" href=\"http:\/\/herb02.weebly.com\/dna--biochemistry\/the-sikh-brain-temple-dna-nitrogeous-bases-wave-problems\">The SiKH (brain) Temple DNA nitrogeous bases wave problems<\/a><\/h2>\n<p>&nbsp;<\/p>\n<div class=\"paragraph\">\n<p>RD-blog-number-5127 by Herb Zinser reviews the biochemistry WAR \u00a0database report from Oak Creeek, Wisconsin near Lake Michigan.The tragic signaling EVENT&#8230;&#8230;..<\/p>\n<ol>\n<li><a href=\"http:\/\/en.wikipedia.org\/wiki\/Wisconsin_Sikh_Temple_Shooting\"><strong>Wisconsin Sikh temple shooting<\/strong>\u00a0&#8211;\u00a0<strong>Wikipedia<\/strong>, the free &#8230;<\/a><strong>en.wikipedia.org<\/strong>\/wiki\/<strong>Wisconsin_Sikh_Temple_Shooting<\/strong><br \/>\nOn August 5, 2012, 40-year-old Wade Michael Page fatally shot six people and wounded four others at a\u00a0<strong>Sikh temple<\/strong>\u00a0in\u00a0<strong>Oak Creek<\/strong>,\u00a0<strong>Wisconsin<\/strong>. Page took his life by &#8230;<\/p>\n<ul>\n<li><a href=\"http:\/\/en.wikipedia.org\/wiki\/Wisconsin_Sikh_Temple_Shooting#Incident\">Incident<\/a>\u00a0\u00b7<\/li>\n<li><a href=\"http:\/\/en.wikipedia.org\/wiki\/Wisconsin_Sikh_Temple_Shooting#Victims\">Victims<\/a>\u00a0\u00b7<\/li>\n<li><a href=\"http:\/\/en.wikipedia.org\/wiki\/Wisconsin_Sikh_Temple_Shooting#Perpetrator\">Perpetrator<\/a>\u00a0\u00b7<\/li>\n<li><a href=\"http:\/\/en.wikipedia.org\/wiki\/Wisconsin_Sikh_Temple_Shooting#Reactions\">Reactions<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<\/div>\n<div>\n<div class=\"wsite-image wsite-image-border-thin \">\n<p><img decoding=\"async\" src=\"http:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2015\/04\/2846941_orig-1.png\" alt=\"Picture\" \/><\/p>\n<div><\/div>\n<\/div>\n<\/div>\n<div class=\"paragraph\">Thus we have Lake Michigan &#8230;suggestive of \u00a0water waves &#8230;oscillations.<\/div>\n<div>\n<div class=\"wsite-image wsite-image-border-thin \">\n<p><img decoding=\"async\" src=\"http:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2015\/04\/5422077_orig-1.png\" alt=\"Picture\" \/><\/p>\n<div><\/div>\n<\/div>\n<\/div>\n<div class=\"paragraph\">In addition, \u00a0we have Nature&#8217;s \u00a0SYMBOL \u00a0MACHINE language code words&#8211;&gt;\u00a0<strong>Wisconsin<br \/>\n&#8230;&#8230;&#8230;&#8230;&#8230;sin wave region of sin wave life forms<\/strong>&#8212;&gt; Sikh &#8211;&gt; susbet codes<br \/>\n&#8211;&gt; Si + KH &#8211;&gt; Sin wave K (potassium symbol ) H (hydrogen of water molecule)<\/div>\n<div>\n<div class=\"wsite-image wsite-image-border-none \">\n<p><img decoding=\"async\" src=\"http:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2015\/04\/5219588_orig-1.png\" alt=\"Picture\" \/><\/p>\n<div><\/div>\n<\/div>\n<\/div>\n<div class=\"paragraph\">Thus the database signal coming from the SiKH Temple shooting ..is about waves &#8230;<br \/>\nabout DNA representative Governor Doyle and the nucelotides of Wisconsin sin wave life forms.<\/div>\n<div>\n<div class=\"wsite-image wsite-image-border-thin \">\n<p><img decoding=\"async\" src=\"http:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2015\/04\/2887396_orig-1.png\" alt=\"Picture\" \/><\/p>\n<div><\/div>\n<\/div>\n<\/div>\n<div class=\"paragraph\">\n<ol>\n<li><a href=\"http:\/\/www.nature.com\/scitable\/definition\/deoxyribonucleic-acid-DNA-107\"><strong>Deoxyribonucleic acid<\/strong>\u00a0\/\u00a0<strong>DNA<\/strong>\u00a0| Learn Science at Scitable<\/a>www.nature.com\/scitable\/definition\/<strong>deoxyribonucleic-acid<\/strong>&#8211;<strong>DNA<\/strong>-107<br \/>\n<strong>Deoxyribonucleic acid<\/strong>\u00a0(<strong>DNA<\/strong>) is a molecule that encodes an organism&#8217;s\u00a0<strong>genetic<\/strong>\u00a0blueprint. In other words,\u00a0<strong>DNA<\/strong>\u00a0contains all of the information required to build and &#8230;<\/li>\n<\/ol>\n<p><a href=\"http:\/\/www.nature.com\/scitable\/definition\/deoxyribonucleic-acid-DNA-107\"><strong>Deoxyribonucleic\u00a0<\/strong>\u00a0&#8230;&#8230;.. subset letetrs of the word &#8230;|<\/a><br \/>\n<a href=\"http:\/\/www.nature.com\/scitable\/definition\/deoxyribonucleic-acid-DNA-107\"><strong>D.o.y&#8230;&#8230;&#8230;&#8230;le \u00a0 &#8211;&gt; 5 symbols of the 16 letters of the word<\/strong><\/a><\/p>\n<\/div>\n<div>\n<div class=\"wsite-image wsite-image-border-thin \">\n<p><img decoding=\"async\" src=\"http:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2015\/04\/5394596_orig-1.png\" alt=\"Picture\" \/><\/p>\n<div><\/div>\n<\/div>\n<\/div>\n<div class=\"paragraph\"><strong>James Edward &#8220;Jim&#8221; Doyle<\/strong>\u00a0(born November 23, 1945) is a\u00a0<a title=\"Wisconsin\" href=\"http:\/\/en.wikipedia.org\/wiki\/Wisconsin\">Wisconsin<\/a>\u00a0politician and member of the\u00a0<a title=\"Democratic Party (United States)\" href=\"http:\/\/en.wikipedia.org\/wiki\/Democratic_Party_(United_States)\">Democratic Party<\/a>. He was the\u00a0<a title=\"List of Governors of Wisconsin\" href=\"http:\/\/en.wikipedia.org\/wiki\/List_of_Governors_of_Wisconsin\">44th<\/a>\u00a0<a title=\"Governor of Wisconsin\" href=\"http:\/\/en.wikipedia.org\/wiki\/Governor_of_Wisconsin\">Governor<\/a>\u00a0of\u00a0<a title=\"Wisconsin\" href=\"http:\/\/en.wikipedia.org\/wiki\/Wisconsin\">Wisconsin<\/a>, serving from January 6, 2003 to January 3, 2011.Thus ..he is Nature&#8217;s represtaive for 5\/16 of DNA message system.The Democratic Party denies \u00a0the existence of biochemsitry \u00a0DNA and its solid thoughts \u00a0&#8230;<br \/>\nclaiming that DEMOCRATS are electromagnetic (EM) life forms that are superior to the periodic atomic of elements<br \/>\nand its biochemsitry molecules&#8230;&#8230; molecules that constructed a human structure \u00a0&#8230;.<br \/>\nknown as a host platform for the EM life forms to use and abuse.<\/div>\n<div>\n<div class=\"wsite-image wsite-image-border-none \">\n<p><img decoding=\"async\" src=\"http:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2015\/04\/5559059_orig-1.png\" alt=\"Picture\" \/><\/p>\n<div><\/div>\n<\/div>\n<\/div>\n<div class=\"paragraph\">Above,<br \/>\nINTERNAL DNA \u00a0geometry bio-math configuration has<br \/>\nEXTERNAL expression formats to LURE \u00a0unsuspecting \u00a0 high school graduates \u00a0into the study of the double-helix twists \u00a0 by going to college and becoming a biochemsitry major.Of course, biochemsitry \u00a0LURE and SEDUCTION technology has completion \u00a0&#8230;&#8230; \u00a0 in the usage of<br \/>\nthe multi-purpose \u00a0female expression system and its concept suggestion.Thus bio-math and\u00a0<strong>calculus(t)\u00a0curves<\/strong>\u00a0to guide male student into the study of math fun functions.<\/div>\n<div>\n<div class=\"wsite-image wsite-image-border-thin \">\n<p><img decoding=\"async\" src=\"http:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2015\/04\/4922618_orig-1.png\" alt=\"Picture\" \/><\/p>\n<div><\/div>\n<\/div>\n<\/div>\n<div class=\"paragraph\">The power of suggestion &#8230;&#8230; \u00a0she wants more calculus students to study integration and integartion \u00a0by patrts.<\/div>\n<div>\n<div class=\"wsite-image wsite-image-border-thin \">\n<p><img decoding=\"async\" src=\"http:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2015\/04\/4199313_orig-1.png\" alt=\"Picture\" \/><\/p>\n<div><\/div>\n<\/div>\n<\/div>\n<div>\n<div class=\"wsite-image wsite-image-border-none \">\n<p><img decoding=\"async\" src=\"http:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2015\/04\/7023708_orig-1.png\" alt=\"Picture\" \/><\/p>\n<div><\/div>\n<\/div>\n<\/div>\n<div class=\"paragraph\">Thus we see Nature&#8217;s system ..INTERNAL biology\/brain \u00a0and \u00a0their EXTERNAL displays messages<\/div>\n<div>\n<div class=\"wsite-image wsite-image-border-thin \">\n<p><img decoding=\"async\" src=\"http:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2015\/04\/4109675_orig-1.png\" alt=\"Picture\" \/><\/p>\n<div><\/div>\n<\/div>\n<\/div>\n<div class=\"paragraph\">EXTERNAL information displays about INTERNAL software systems &#8230;.. are the external EARTH geography sites \u00a0that have a Jewish Temple, a SiKH Temple, etc.<\/div>\n<div>\n<div class=\"wsite-image wsite-image-border-thin \">\n<p><img decoding=\"async\" src=\"http:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2015\/04\/1796350_orig-1.jpg\" alt=\"Picture\" \/><\/p>\n<div><\/div>\n<\/div>\n<\/div>\n<div class=\"paragraph\">Thus the SYMBOL MACHINE view of the \u00a0word\/letter ENGINES code name &#8211;&gt;<br \/>\nKH \u00a0with examples &#8230;.&#8211; &gt; siKH<br \/>\n&#8212;&gt; city of Kenosha \u00a0&#8211;&gt; subset letters KH<br \/>\n&#8212;&gt; KHan &#8211;&gt; murder of KH SYMBOL PROCESSOR Haroon KHanSymblos\/letets KH \u00a0&#8230;think &#8230;think \u00a0&#8230;.spell backwardthink &lt;&#8212;mirror word &#8211;&gt; Kniht \u00a0 ..explained to Knight<\/p>\n<ol>\n<li><a href=\"http:\/\/en.wikipedia.org\/wiki\/Knight_(chess)\"><strong>Knight<\/strong>\u00a0(<strong>chess<\/strong>) &#8211;\u00a0<strong>Wikipedia<\/strong>, the free encyclopedia<\/a><strong>en.wikipedia.org<\/strong>\/wiki\/<strong>Knight<\/strong>_(<strong>chess<\/strong>)<\/li>\n<li>The knight is a piece in the game of chess, representing a knight. It is normally represented by a horse&#8217;s head and neck. Each player starts with two knights, which begin on the row closest to the player, one square from each corner.<\/li>\n<\/ol>\n<\/div>\n<div>\n<div class=\"wsite-image wsite-image-border-thin \">\n<p><img decoding=\"async\" src=\"http:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2015\/04\/9318155_orig-1.png\" alt=\"Picture\" \/><\/p>\n<div><\/div>\n<\/div>\n<\/div>\n<div class=\"paragraph\">Thus we see Nature&#8217;s systems and it chess component \u00a0..with SYMBOL MACHINE \u00a0word<br \/>\nKnight \u00a0&#8230;sort of the inverse letter sequence of ..the mirror of Think.<\/div>\n<div>\n<div class=\"wsite-image wsite-image-border-thin \">\n<p><img decoding=\"async\" src=\"http:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2015\/04\/7009680_orig-1.png\" alt=\"Picture\" \/><\/p>\n<div><\/div>\n<\/div>\n<\/div>\n<div class=\"paragraph\">Tus we think of the EARTH geography region of the greater \u00a0Milwuakee \u00a0&#8230;souteast Wisconsin land surface \u00a0 ..as Nature&#8217;s chessborad ..with humans as pawns and \u00a0DNA nitrogenous bases as \u00a0Knights.Code &#8211;&gt; Knight &#8211;&gt; subset code &#8211;&gt; nig &#8211;&gt; suggests nitrogen and \u00a0DNA<\/div>\n<div>\n<div class=\"wsite-image wsite-image-border-thin \">\n<p><img decoding=\"async\" src=\"http:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2015\/04\/947022_orig-1.png\" alt=\"Picture\" \/><\/p>\n<div><\/div>\n<\/div>\n<\/div>\n<div class=\"paragraph\">Thus we have a molecular chess board \u00a0&#8230;.. and some conflict that wa splayed out at the EXTERNAL location of the SiKH Temple (sin wave code)<br \/>\nnear \u00a0Lake Michigan ( PSSC high school physics and wave tanks and wave mechanics)<\/div>\n<div>\n<div class=\"wsite-image wsite-image-border-thin \">\n<p><img decoding=\"async\" src=\"http:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2015\/04\/737550_orig-1.png\" alt=\"Picture\" \/><\/p>\n<div><\/div>\n<\/div>\n<\/div>\n<div class=\"paragraph\">Thus we begin to see the SECRET \u00a0biochmesitry DNA manipulation socity in the greater Miwaukee region ..run by citizens with univeristy approval.The 4 bases above \u00a0&#8230;&#8230; \u00a0and the \u00a0VERBAL word commands issued by baseball radio announcements and the picture \u00a0comamands issued \u00a0by \u00a0the televivsion \u00a0electromagnetic (EM) broadcasts of \u00a0the station \u00a0&#8230; by their superior DNA employees&#8230;.. that broadcast FCC approved \u00a0EM \u00a0control waves directly into the<br \/>\n<strong>skull temple and the brain stem<br \/>\n<\/strong><strong>skull ..em &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;..em<\/strong><strong><br \/>\n<\/strong><strong><br \/>\n<\/strong><\/div>\n<div class=\"paragraph\">Thus Nature&#8217;s systems VERSUS \u00a0 the bio-radio and bio-television attack on the brain SYMBOL ENGINE \u00a0..hence, Nature&#8217;s military systems and the creation of the DNA wave war message in oak Creek.<\/div>\n<div>\n<div class=\"wsite-image wsite-image-border-thin \">\n<p><img decoding=\"async\" src=\"http:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2015\/04\/4183187_orig-1.png\" alt=\"Picture\" \/><\/p>\n<div><\/div>\n<\/div>\n<\/div>\n<div class=\"paragraph\">\n<ol>\n<li><a href=\"http:\/\/en.wikipedia.org\/wiki\/Base_(baseball)\"><strong>Baseball<\/strong>\u00a0field &#8211;\u00a0<strong>Wikipedia<\/strong>, the free encyclopedia<\/a><strong>en.wikipedia.org<\/strong>\/wiki\/<strong>Base<\/strong>_(<strong>baseball<\/strong>)<br \/>\nSecond\u00a0<strong>base<\/strong>\u00a0is the second of\u00a0<strong>four<\/strong>\u00a0 BASE stations on a\u00a0<strong>baseball<\/strong>\u00a0diamond which must be touched in succession by a\u00a0<strong>base\u00a0<\/strong>\u00a0runner in order to score a run for that player&#8217;s team.<\/p>\n<ul>\n<li><a href=\"http:\/\/en.wikipedia.org\/wiki\/Base_(baseball)#Specifications\">Specifications<\/a>\u00a0\u00b7<\/li>\n<li><a href=\"http:\/\/en.wikipedia.org\/wiki\/Base_(baseball)#First_base\">First\u00a0<strong>base<\/strong><\/a>\u00a0\u00b7<\/li>\n<li><a href=\"http:\/\/en.wikipedia.org\/wiki\/Base_(baseball)#Second_base\">Second\u00a0<strong>base<\/strong><\/a>\u00a0\u00b7<\/li>\n<li><a href=\"http:\/\/en.wikipedia.org\/wiki\/Base_(baseball)#Third_base\">Third\u00a0<strong>base<\/strong><\/a>\u00a0\u00b7<\/li>\n<li><a href=\"http:\/\/en.wikipedia.org\/wiki\/Base_(baseball)#Home_plate\">Home plate<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<\/div>\n<div class=\"paragraph\">\n<ol>\n<li><a href=\"http:\/\/en.wikipedia.org\/wiki\/Base_(baseball)\"><strong>Baseball<\/strong>\u00a0field &#8211;\u00a0<strong>Wikipedia<\/strong>, the free encyclopedia<\/a><strong>en.wikipedia.org<\/strong>\/wiki\/<strong>Base<\/strong>_(<strong>baseball<\/strong>)<br \/>\nSecond\u00a0<strong>base<\/strong>\u00a0is the second of\u00a0<strong>four<\/strong>\u00a0base radio stations on a\u00a0<strong>baseball<\/strong>\u00a0diamond which must be touched in succession by a \u00a0DNA\u00a0<strong>base<\/strong>\u00a0runner who is carrying a secret body language \u00a0message in order to score a run for that player&#8217;s team \u00a0(Player &#8212;&gt; P layers &#8211;&gt; Processing \u00a0layers).<\/p>\n<ul>\n<li><a href=\"http:\/\/en.wikipedia.org\/wiki\/Base_(baseball)#Specifications\">Specifications<\/a>\u00a0\u00b7<\/li>\n<li><a href=\"http:\/\/en.wikipedia.org\/wiki\/Base_(baseball)#First_base\">First\u00a0<strong>base<\/strong><\/a>\u00a0\u00b7<\/li>\n<li><a href=\"http:\/\/en.wikipedia.org\/wiki\/Base_(baseball)#Second_base\">Second\u00a0<strong>base<\/strong><\/a>\u00a0\u00b7<\/li>\n<li><a href=\"http:\/\/en.wikipedia.org\/wiki\/Base_(baseball)#Third_base\">Third\u00a0<strong>base<\/strong><\/a>\u00a0\u00b7<\/li>\n<li><a href=\"http:\/\/en.wikipedia.org\/wiki\/Base_(baseball)#Home_plate\"><strong>Home plate<\/strong><\/a><\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<\/div>\n<div>\n<div class=\"wsite-image wsite-image-border-thin \">\n<p><img decoding=\"async\" src=\"http:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2015\/04\/9665231_orig-1.png\" alt=\"Picture\" \/><\/p>\n<div><\/div>\n<\/div>\n<\/div>\n<div>\n<div class=\"wsite-image wsite-image-border-thin \">\n<p><img decoding=\"async\" src=\"http:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2015\/04\/2892169_orig-1.png\" alt=\"Picture\" \/><\/p>\n<div><\/div>\n<\/div>\n<\/div>\n<div>\n<div class=\"wsite-image wsite-image-border-thin \">\n<p><img decoding=\"async\" src=\"http:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2015\/04\/3555860_orig-1.png\" alt=\"Picture\" \/><\/p>\n<div><\/div>\n<\/div>\n<\/div>\n<div class=\"paragraph\">Thus we wee the DNA war zone in southeastern Wisconsin and the biochemistry war casualties &#8230;. and the incomplete explanations given in newspapers about the entire situation.<\/div>\n<div class=\"paragraph\"><\/div>\n<div class=\"paragraph\"><\/div>\n<div class=\"paragraph\"><\/div>\n<div class=\"paragraph\"><\/div>\n<div class=\"paragraph\">\n<p>Now, let&#8217;s look at Hannah Granham and uv = university of virginia<\/p>\n<p><a title=\"integration by parts math calculus\" href=\"http:\/\/www.blog.co.uk\/media\/photo\/integration_by_parts_math_calculus\/8540165\"><img decoding=\"async\" src=\"http:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2015\/04\/8540165_38542bbff1_m-1.png\" alt=\"integration by parts math calculus\" \/><\/a><\/p>\n<\/div>\n<div class=\"paragraph\">\n<h3 class=\"r\"><a href=\"http:\/\/en.wikipedia.org\/wiki\/Murder_of_Hannah_Graham\">Murder of Hannah Graham &#8211; Wikipedia, the free encyclopedia<\/a><\/h3>\n<div class=\"s\">\n<div class=\"f kv _SWb\"><cite class=\"_Rm\">en.wikipedia.org\/wiki\/<strong>Murder<\/strong>_of_<strong>Hannah<\/strong>_<strong>Graham<\/strong><\/cite><\/div>\n<\/div>\n<div class=\"f kv _SWb\">\n<div class=\"crc\">\n<div class=\"crl\">Wikipedia<\/div>\n<\/div>\n<\/div>\n<p><span class=\"st\"><em>Hannah Graham<\/em>\u00a0(February 25, 1996 ? c. September 13, 2014) was an 18-year-old second-year British American student at the University of Virginia who went\u00a0&#8230;<\/span><\/p>\n<div class=\"_cwc\">\n<div class=\"_sgd\">\n<div class=\"_qgd\"><em>Disappeared<\/em>: September 13, 2014 (aged &#8230;<\/div>\n<div class=\"_pgd\"><em>Cause of death<\/em><\/div>\n<\/div>\n<\/div>\n<p>Her calculus symbol code &#8211;&gt;\u00a0<strong><em>Disappeared<\/em>:\u00a0September<\/strong><\/p>\n<p><strong><a title=\"integration symbol math\" href=\"http:\/\/www.blog.co.uk\/media\/photo\/integration_symbol_math\/8540149\"><img decoding=\"async\" src=\"http:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2015\/04\/8540149_29fced6522_m-1.png\" alt=\"integration symbol math\" \/><\/a><\/strong><\/p>\n<p>Thus \u00a0&#8230;her walking spine \u00a0&#8230;.. a walking \u00a0calculus symbol.<\/p>\n<h3 class=\"r\"><a href=\"http:\/\/en.wikipedia.org\/wiki\/Line_integral\">Line integral &#8211; Wikipedia, the free encyclopedia<\/a><\/h3>\n<div class=\"s\">\n<div class=\"f kv _SWb\"><cite class=\"_Rm\">en.wikipedia.org\/wiki\/Line_<strong>integral<\/strong><\/cite><\/div>\n<\/div>\n<div class=\"f kv _SWb\">\n<div class=\"crc\">\n<div class=\"crl\">Wikipedia<\/div>\n<\/div>\n<\/div>\n<p><span class=\"st\">The terms\u00a0<em>path integral<\/em>, curve integral, and curvilinear integral are also used; &#8230; In qualitative terms, a line integral in vector\u00a0<em>calculus<\/em>\u00a0can be thought of as a\u00a0&#8230;<\/span><\/p>\n<div class=\"osl\">?<a class=\"fl\" href=\"http:\/\/en.wikipedia.org\/wiki\/Line_integral#Vector_calculus\">Vector calculus<\/a>\u00a0&#8211;\u00a0?<a class=\"fl\" href=\"http:\/\/en.wikipedia.org\/wiki\/Line_integral#Flow_across_a_curve\">Flow across a curve<\/a>\u00a0&#8211;\u00a0?<a class=\"fl\" href=\"http:\/\/en.wikipedia.org\/wiki\/Line_integral#Complex_line_integral\">Complex line integral<\/a>\u00a0&#8211;\u00a0?<a class=\"fl\" href=\"http:\/\/en.wikipedia.org\/wiki\/Line_integral#Quantum_mechanics\">Quantum mechanics<\/a><\/div>\n<p><a title=\"hannahgraham9or12voltsbattery\" href=\"http:\/\/www.blog.co.uk\/media\/photo\/hannahgraham9or12voltsbattery\/8540151\"><img decoding=\"async\" src=\"http:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2015\/04\/8540151_2088e509a4_m-1.png\" alt=\"hannahgraham9or12voltsbattery\" \/><\/a><\/p>\n<p>Below, she is tracing out path integral &#8230;..<\/p>\n<p><a title=\"hannah graham beer pub beer-lambert law\" href=\"http:\/\/www.blog.co.uk\/media\/photo\/hannah_graham_beer_pub_beer_lambert_law\/8540153\"><img decoding=\"async\" src=\"http:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2015\/04\/8540153_9bc90d80f5_m-1.png\" alt=\"hannah graham beer pub beer-lambert law\" \/><\/a><\/p>\n<h3 class=\"r\"><a href=\"http:\/\/tutorial.math.lamar.edu\/Classes\/CalcIII\/LineIntegralsPtI.aspx\">Pauls Online Notes : Calculus III &#8211; Line Integrals &#8211; Part I<\/a><\/h3>\n<div class=\"s\">\n<div class=\"f kv _SWb\"><cite class=\"_Rm\">tutorial.math.lamar.edu\/Classes\/&#8230;\/Line<strong>Integrals<\/strong>PtI.aspx<\/cite><\/div>\n<\/div>\n<ul>\n<li class=\"g\">\n<div class=\"rc\">\n<div class=\"s\">\n<div class=\"f kv _SWb\">\n<div class=\"crc\">\n<div class=\"crl\">Lamar University<\/div>\n<\/div>\n<\/div>\n<p><span class=\"st\">Vector Fields,\u00a0<em>Calculus<\/em>\u00a0III &#8211; Notes, Line\u00a0<em>Integrals<\/em>\u00a0&#8211; Part II &#8230;. Let&#8217;s first see what happens to the line\u00a0<em>integral<\/em>\u00a0if we change the\u00a0<em>path<\/em>\u00a0between these two points.<\/span><\/p>\n<\/div>\n<\/div>\n<\/li>\n<\/ul>\n<ul>\n<li class=\"g\">\n<div class=\"rc\">\n<h3 class=\"r\"><a href=\"http:\/\/tutorial.math.lamar.edu\/Classes\/CalcIII\/LineIntegralsVectorFields.aspx\">Pauls Online Notes : Calculus III &#8211; Line Integrals of Vector &#8230;<\/a><\/h3>\n<div class=\"s\">\n<div class=\"f kv _SWb\"><cite class=\"_Rm\">tutorial.math.lamar.edu\/&#8230;\/Line<strong>Integrals<\/strong>VectorFields.as&#8230;<\/cite><\/div>\n<\/div>\n<\/div>\n<\/li>\n<\/ul>\n<div class=\"f kv _SWb\">\n<div class=\"crc\">\n<div class=\"crl\">Lamar University<\/div>\n<\/div>\n<\/div>\n<p><a title=\"hannah graham beer pub beer-lambert law\" href=\"http:\/\/www.blog.co.uk\/media\/photo\/hannah_graham_beer_pub_beer_lambert_law\/8540153\"><span class=\"st\">Line\u00a0<em>Integrals<\/em>\u00a0&#8211; Part II,\u00a0<em>Calculus<\/em>\u00a0III &#8211; Notes, Fundamental Theorem for Line\u00a0<em>Integrals<\/em>\u00a0&#8230; about reversing the direction of the\u00a0<em>path<\/em>\u00a0with line\u00a0<em>integrals<\/em>\u00a0of vector fields.<\/span><\/a><\/p>\n<h1>The path integral:<\/h1>\n<p>calculating the future from<\/p>\n<p>an unknown\u00a0past<\/p>\n<p><a title=\"hannah graham good map\" href=\"http:\/\/www.blog.co.uk\/media\/photo\/hannah_graham_good_map\/8540154\"><img decoding=\"async\" src=\"http:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2015\/04\/8540154_4386cc6a8d_m-1.png\" alt=\"hannah graham good map\" \/><\/a><\/p>\n<p><strong>A fun problem for you, and a matter of life and death for an ant<\/strong><\/p>\n<p>A (female) soldier ant is returning home from a raid on an enemy colony about 1 meter away from her own anthill.\u00a0 This ant, like the majority of members of many ant species, is completely blind, so finding her way home has been something of an ordeal.\u00a0 An even bigger danger is awaiting her this very moment, however, at the entranceway to her own home.\u00a0 Our soldier ant, during the course of her surprisingly violent battling, has been drenched in the pheremones of her enemy victims.\u00a0 If these pheremones have not worn off by now, then the sentries guarding the entranceway (who are also blind) will mistake her for an enemy.\u00a0 And ants are\u00a0<a href=\"http:\/\/math.herbzinser17.com\/wp-content\/uploads\/2015\/04\/FileWeaverAntsAgainstRedAnt.jpg\">not known for their patience<\/a>\u00a0with enemies.<\/p>\n<p>The question of ?will our soldier be mistakenly killed by her own kind? depends at this moment very critically on how long it took her to walk home.\u00a0 The longer her path was, the better the chance that the smell of her enemies has dissipated, and the better are her odds of surviving her encounter with the sentries.\u00a0 If she walked at a constant speed, then we can assume the enemy pheremones dissipate exponentially (as is the case with evaporation\/dissipation of chemicals on a surface).\u00a0 Just to make it concrete, I?ll say that her chance of being killed follows the following law:<\/p>\n<p><img decoding=\"async\" class=\"latex\" title=\"P_{death} = e^{-L\/textrm{10 meters}}\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/latex.png\" alt=\"P_{death} = e^{-L\/textrm{10 meters}}\" \/>,<\/p>\n<p>where\u00a0<em>L<\/em>\u00a0is the total length of her trip home, from enemy anthill to her own.\u00a0 This formula implies that if our ant took a very circuitous route home ? say, 20 meters long ? then she has only about a 13% chance of being killed by the sentries.\u00a0 But if she took the most direct route ?\u00a0<em>L<\/em>\u00a0= 1 meter ? then there?s about a 90% chance of her being dismembered on the spot.<\/p>\n<p>If we knew what path she took, we could use Calculus to figure out her path length\u00a0<em>L<\/em>\u00a0and predict what?s going to happen.\u00a0 But we, the observers, are only watching this moment, as the soldier returns home; we have no idea what path she took.\u00a0 Can we still say anything about what?s going to happen to her?<\/p>\n<\/div>\n<div class=\"paragraph\"><a title=\"hannah graham math 2\" href=\"http:\/\/www.blog.co.uk\/media\/photo\/hannah_graham_math_2\/8540163\"><img decoding=\"async\" src=\"http:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2015\/04\/8540163_96b9775a67_m-1.png\" alt=\"hannah graham math 2\" \/><\/a><\/div>\n<div class=\"paragraph\"><\/div>\n<div class=\"paragraph\"><\/div>\n<div class=\"paragraph\"><\/div>\n<div class=\"paragraph\"><\/div>\n<div class=\"paragraph\">\u00a0The answer, surprisingly, is yes.\u00a0 Usually, people use Calculus for summing (integrating) over all possible values of some quantity.\u00a0 The Calculus of path integrals is similar: it sums (integrates) over all possible\u00a0<em>paths<\/em>\u00a0(or histories) that connect one moment and another.\u00a0 And it allows us to predict the future of this ant.\u00a0 In evaluating whether our ant will live or die, we need to integrate over all possible paths that she could have walked along.\u00a0 Something like this:<\/div>\n<p align=\"center\"><img decoding=\"async\" src=\"http:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2015\/04\/hannahgrahammathantpricture-1.gif\" alt=\"\" align=\"center\" \/><\/p>\n<p>If we want to know her chance of living or dying, we must average over each of these separate paths, plus an infinite number of others.<\/p>\n<p>I?m only going to say here that it?s possible.\u00a0 Usually, there?s no simple generic solution to a path integral.\u00a0 In most cases you either need a computer or a lot of patience to come up with a result.\u00a0 And you need some way of weighting the different paths, i.e. deciding how likely the different paths are.\u00a0 Here I am just going to use a very simple assumption: that the ant doesn?t stray more than 4 meters from the straight line connecting her origin and destination, and that she doesn?t change her direction more often than every 8 centimeters or so.\u00a0 These are completely arbitrary assumptions, but they allow for a finite result.<\/p>\n<div class=\"paragraph\"><\/div>\n<div class=\"paragraph\"><\/div>\n<p align=\"center\"><img decoding=\"async\" src=\"http:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2015\/04\/hannahgrahamwalk37minutestoBase16street15-1.png\" alt=\"\" align=\"center\" \/><\/p>\n<div class=\"paragraph\"><\/div>\n<h1><a title=\"SECTION0016120000000000000000\" name=\"SECTION0016120000000000000000\"><\/a>\u00a0Line Integrals with Hannah Graham on the EARTH land math surface of Charlottesville.<\/h1>\n<p>Consider a two-dimensional function\u00a0<img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2015\/04\/img3372-1.png\" alt=\"$f(x,y)$\" width=\"57\" height=\"39\" align=\"MIDDLE\" border=\"0\" \/>\u00a0which is defined for all\u00a0<img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2015\/04\/img204-1.png\" alt=\"$x$\" width=\"15\" height=\"18\" align=\"BOTTOM\" border=\"0\" \/>\u00a0and\u00a0<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/img543.png\" alt=\"$y$\" width=\"16\" height=\"38\" align=\"MIDDLE\" border=\"0\" \/>. What is meant by the integral of\u00a0<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/img221.png\" alt=\"$f$\" width=\"13\" height=\"17\" align=\"BOTTOM\" border=\"0\" \/>\u00a0along a given curve joining the points\u00a0<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/img118.png\" alt=\"$P$\" width=\"16\" height=\"17\" align=\"BOTTOM\" border=\"0\" \/>\u00a0and\u00a0<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/img41.png\" alt=\"$Q$\" width=\"21\" height=\"38\" align=\"MIDDLE\" border=\"0\" \/>\u00a0in the\u00a0<img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2015\/04\/img204-1.png\" alt=\"$x$\" width=\"15\" height=\"18\" align=\"BOTTOM\" border=\"0\" \/>&#8211;<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/img543.png\" alt=\"$y$\" width=\"16\" height=\"38\" align=\"MIDDLE\" border=\"0\" \/>\u00a0plane?<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/hannahgrahammathline555.png\" alt=\"\" align=\"center\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>Thus we see &#8230;&#8230; \u00a0the Carl Jung \u00a0bio-mathematical-physics collective unconsciousness of the GROUP MIND comprised of the University of \u00a0Virginia collective \u00a0 &#8230;&#8230; the student body, professors, \u00a0employees, \u00a0and administrators \u00a0 &#8230;<br \/>\nthat \u00a0bio-math COLLECTIVE unconsiousness has \u00a0problems that require conscious \u00a0thought, lab exercises, and communications to fix.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p align=\"center\"><img decoding=\"async\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/Carljung.png\" alt=\"\" align=\"center\" \/><\/p>\n<div><\/div>\n<p>Now, we have covered some fundamental \u00a0math application MODELS of the tragedy \u00a0..suggested \u00a0&#8230;. by \u00a0the empirical data generated by Hannah Graham concept.<\/p>\n<p>&nbsp;<\/p>\n<p>Let&#8217;s advance and consider more.<\/p>\n<p>&nbsp;<\/p>\n<p>In mechanical physics, in high school ..we do lab experiments \u00a0&#8230; and study the equation<\/p>\n<p>Force = Mass X acceleration<\/p>\n<p>&nbsp;<\/p>\n<h3 class=\"r\"><a href=\"http:\/\/zonalandeducation.com\/mstm\/physics\/mechanics\/forces\/newton\/mightyFEqMA\/mightyFEqMA.html\">Force, Mass, Acceleration | Zona Land Education<\/a><\/h3>\n<div class=\"s\">\n<div>\n<div class=\"f kv _SWb\"><cite class=\"_Rm\">zonalandeducation.com\/mstm\/<b>physics<\/b>\/&#8230;\/<b>forces<\/b>\/&#8230;\/mightyFEqMA.html<\/cite><\/div>\n<\/div>\n<\/div>\n<p><span class=\"st\"><em>Force equals mass<\/em> times <em>acceleration<\/em>. This <em>equation<\/em> is one of the most useful in classical <em>physics<\/em>. It is a concise statement of Isaac Newton&#8217;s Second Law of\u00a0&#8230;<\/span><\/p>\n<div class=\"osl\">\u200e<a class=\"fl\" href=\"http:\/\/zonalandeducation.com\/mstm\/physics\/mechanics\/forces\/newton\/fmaProblem1.html\">Problem 1<\/a> &#8211;\u00a0\u200e<a class=\"fl\" href=\"http:\/\/zonalandeducation.com\/mstm\/physics\/mechanics\/forces\/newton\/fmaProblem2.html\">Problem 2<\/a> &#8211;\u00a0\u200e<a class=\"fl\" href=\"http:\/\/zonalandeducation.com\/mstm\/physics\/mechanics\/forces\/newton\/newtonLaw2.html\">Newton&#8217;s Second Law of Motion<\/a> &#8211;\u00a0\u200e<a class=\"fl\" href=\"http:\/\/zonalandeducation.com\/mstm\/physics\/mechanics\/forces\/newton\/fmaProblem3.html\">Problem 3<\/a><\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\"><a href=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/classical-physics-force.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-199\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/classical-physics-force.png\" alt=\"classical physics force\" width=\"282\" height=\"584\" \/><\/a><\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\">Thus we a have classical mechanics &#8230;.<\/div>\n<div class=\"osl\">and in modern times we have<\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\">Social forces = ma \/ mother\/ woman and her daughters of the American revolution<\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\">Thus the keywords &#8211;&gt; \u00a0ma &amp; pa &#8211;&gt; mapa \u00a0&#8211;&gt; map america \u00a0 provided by \u00a0your mother\/father in year 2015 \u00a0&#8230;.. for those over 40 years old.<\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\">Thus \u00a0word &#8211;&gt; \u00a0Manhtattan in New York city &#8230;is \u00a0a social engineerins equation<\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\">Social Forces = ma \u00a0..and a specific application<\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\">\n<p>Social Forces = Manhattan&#8212;&gt; ma + nh + att + an \u00a0+ tan<\/p>\n<p>&#8211;&gt;\u00a0\u00a0map amino acids (nh) + attributes (data field site)<br \/>\n+ atomic number and alpha\/numeric (base 16 hex)<br \/>\n+ tangent \u00a0existential worlds on EARTH<\/p>\n<\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\"><a href=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/1_picture-amino-11.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-200\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/1_picture-amino-11.png\" alt=\"picture - amino 11\" width=\"347\" height=\"168\" \/><\/a><\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\">Thus some of the \u00a0concepts \u00a0of \u00a0mechanical \u00a0forces \u00a0 are useful in describing social and economic forces<\/div>\n<div class=\"osl\">\n<p>The original form of <a class=\"mw-redirect\" title=\"Newton's second law\" href=\"http:\/\/en.wikipedia.org\/wiki\/Newton%27s_second_law\">Newton&#8217;s second law<\/a> states that the net force acting upon an object is equal to the <a title=\"Time derivative\" href=\"http:\/\/en.wikipedia.org\/wiki\/Time_derivative\">rate<\/a> at which its <a title=\"Momentum\" href=\"http:\/\/en.wikipedia.org\/wiki\/Momentum\">momentum<\/a> changes with time. If the mass of the object is constant, this law implies that the <a title=\"Acceleration\" href=\"http:\/\/en.wikipedia.org\/wiki\/Acceleration\">acceleration<\/a> of an object is directly proportional to the net force acting on the object, is in the direction of the net force, and is inversely proportional to the <a title=\"Mass\" href=\"http:\/\/en.wikipedia.org\/wiki\/Mass\">mass<\/a> of the object. As a formula, this is expressed as:<\/p>\n<dl>\n<dd><img decoding=\"async\" class=\"mwe-math-fallback-image-inline tex\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/0ba118c2d8c335e2f96292a1e771bc09.png\" alt=\"vec{F} = m vec{a}\" \/><\/dd>\n<\/dl>\n<p>where the arrows imply a vector quantity possessing both magnitude and direction.<\/p>\n<p>&nbsp;<\/p>\n<p>Related concepts to force include:<\/p>\n<p><a title=\"Thrust\" href=\"http:\/\/en.wikipedia.org\/wiki\/Thrust\">thrust<\/a>, which increases the velocity of an object<\/p>\n<p>&#8230;.. \u00a0 in other words &#8230;.<\/p>\n<p>Related concepts to the INTELLECTUAL \u00a0forces of Nature&#8217;s systems &#8230;<\/p>\n<p>include: <a title=\"Thrust\" href=\"http:\/\/en.wikipedia.org\/wiki\/Thrust\">trust<\/a>, \u00a0the city of an object<\/p>\n<\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\">Below, a man pushing \u00a0a car with \u00a0manual \u00a0force..<\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\"><a href=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/force-physics-car.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-201\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/force-physics-car.png\" alt=\"force physics car\" width=\"540\" height=\"246\" \/><\/a><\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\">Now, let look at Hannah Graham and the Charlottesville social forces.<\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\"><a href=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/hannah-graham-5.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-202\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/hannah-graham-5.png\" alt=\"hannah graham 5\" width=\"694\" height=\"411\" \/><\/a><\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\">Below, the line integral path \u00a0&#8230;. \u00a0being drawn by her footsteps on EARTH surface<\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\"><a href=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/hannah-graham-downtown-astrocyte.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-203\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/hannah-graham-downtown-astrocyte.png\" alt=\"hannah graham downtown astrocyte\" width=\"472\" height=\"349\" \/><\/a><\/div>\n<div class=\"osl\"><\/div>\n<div>\n<h3><a href=\"http:\/\/www2.raritanval.edu\/departments\/Math\/full-time\/Stepanova\/Line%20Integral.html\">Line Integral<\/a><\/h3>\n<div><\/div>\n<div>\n<div>\n<div data-async-context=\"res:2;ri:;site:raritanval.edu\" data-async-trigger=\"cra-2-filled\" data-ved=\"0CC4Q5CswAg\">Raritan Valley Community College<\/div>\n<\/div>\n<\/div>\n<p>Dr. Tatyana Stepanova. Office: S-235 Phone: &#8230; This limit is called the line integral of the vector field F over the path C and is denoted. Missing equation.<\/p>\n<\/div>\n<div><\/div>\n<div>vector field F over the path C and is denoted. Missing equation.<\/div>\n<div>vector field F over the path C and is denoted. Missing equation.<\/div>\n<div>vector field F over the path Charlottesville \u00a0and is denoted. Missing equation.<\/div>\n<div><\/div>\n<div><\/div>\n<div>Let looks \u00a0&#8230;.. \u00a0at an advanced model of math social forces in Charlottesville.<\/div>\n<div><\/div>\n<div class=\"osl\">\n<div align=\"center\">\n<p align=\"center\">Line Integrals<\/p>\n<\/div>\n<ul type=\"disc\">\n<li>In one dimension, a force can be described by a real number F that is positive if the force is pushing from left to right and is negative if the force is pushing from right to left. When an object is moved from x = a to x = b by a force F the amount of work done by the force is<\/li>\n<\/ul>\n<p align=\"center\">F (b &#8211; a).<\/p>\n<ul type=\"disc\">\n<li>In two or three dimensions, a force can be described by a vector whose magnitude is the strength of the force and <span style=\"font-family: Helvetica; font-size: medium;\">whose direction is the direction in which the force is pushing &#8212; for example, the vector <b>2 <span class=\"SpellE\">i<\/span> <\/b>represents a force whose strength is two units and that is pushing from west to east. If an object moves under the influence of a force, <b>F<\/b>, and its motion is represented by the vector <b>S <\/b>as shown in the figure below <\/span><\/li>\n<\/ul>\n<p align=\"center\"><a href=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/force-line-integral-1.png\" rel=\"attachment wp-att-457\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-457\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/force-line-integral-1.png\" alt=\"force line integral 1\" width=\"337\" height=\"231\" \/><\/a><\/p>\n<p><span class=\"GramE\"><span style=\"font-family: Helvetica; font-size: medium;\">then<\/span><\/span><span style=\"font-family: Helvetica;\"> the work done by the force is <\/span><\/p>\n<\/div>\n<p align=\"center\"><a href=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/forece-line-integral-2.png\" rel=\"attachment wp-att-458\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-458\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/forece-line-integral-2.png\" alt=\"forece line integral 2\" width=\"283\" height=\"80\" \/><\/a><\/p>\n<div class=\"osl\">\n<p><span style=\"font-family: Helvetica; font-size: medium;\">It is often useful to think of ordinary integration as &#8220;advanced multiplication.&#8221; For example, the area of a simple rectangle whose height is <b>H\u00a0(Hannah) \u00a0<\/b>and<br \/>\nwhose base goes from <b>x = a <\/b>to <b>x = b <\/b>as shown in the figure below <\/span><\/p>\n<p><span style=\"font-family: Helvetica; font-size: medium;\">When an object moves from the point <b>x = a <\/b>to the point <b>x = b <\/b>under the influence of a force that is not constant and is given by a function <b>f(x)<\/b>, then the work done by the force is given by <\/span><\/p>\n<p align=\"center\"><a href=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/force-line-3.png\" rel=\"attachment wp-att-460\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-460\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/force-line-3.png\" alt=\"force line 3\" width=\"368\" height=\"111\" \/><\/a><\/p>\n<p><span class=\"GramE\"><span style=\"font-family: Helvetica; font-size: medium;\">and<\/span><\/span><span style=\"font-family: Helvetica;\"> the simple multiplication of our first formula for work is replaced by integration or &#8220;advanced multiplication.&#8221; <\/span><\/p>\n<p><span style=\"font-family: Helvetica; font-size: medium;\">In this module we look at a two-dimensional or three dimensional <span class=\"GramE\">situation<\/span> in which the force is not constant &#8212; at different points the force may point in different directions and it may have different strengths. The figure below shows an example. Notice the force is always pointing toward the origin in this particular example. <\/span><\/p>\n<p align=\"center\"><a href=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/force-line-4.png\" rel=\"attachment wp-att-461\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-461\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/force-line-4.png\" alt=\"force line 4\" width=\"345\" height=\"293\" \/><\/a><\/p>\n<p><span style=\"font-family: Helvetica; font-size: medium;\">Not only does the force vary from point-to-point but there is another complication &#8212; we are interested in an object traveling along a curved path as shown in the movie below. <\/span><\/p>\n<p align=\"center\"><a href=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/force-line-5.png\" rel=\"attachment wp-att-462\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-462\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/force-line-5.png\" alt=\"force line 5\" width=\"367\" height=\"299\" \/><\/a><\/p>\n<\/div>\n<p style=\"text-align: left;\" align=\"center\"><a href=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/line-integral-moving.gif\" rel=\"attachment wp-att-464\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-464 aligncenter\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/line-integral-moving.gif\" alt=\"line integral moving\" width=\"281\" height=\"281\" \/><\/a><\/p>\n<div class=\"osl\">\n<p><span style=\"font-family: Helvetica; font-size: medium;\">Because the force varies from one place to another we call it a <b>force field<\/b>. A force field is represented mathematically by a vector field. We use the notation <\/span><\/p>\n<p align=\"center\"><b><span style=\"font-family: Helvetica; font-size: medium;\">F(x, y) = P(x, y) <span class=\"SpellE\">i<\/span> + Q(x, y) j<\/span><\/b><\/p>\n<p><span class=\"GramE\"><span style=\"font-family: Helvetica; font-size: medium;\">to<\/span><\/span><span style=\"font-family: Helvetica;\"> describe a force field in <b>R<sup>2<\/sup><\/b> and the notation <\/span><\/p>\n<p align=\"center\"><b><span style=\"font-family: Helvetica; font-size: medium;\">F(x, y, z) = P(x, y, z) <span class=\"SpellE\">i<\/span> + Q(x, y, z) j + R(x, y, z) k<\/span><\/b><\/p>\n<p><span class=\"GramE\"><span style=\"font-family: Helvetica; font-size: medium;\">to<\/span><\/span><span style=\"font-family: Helvetica;\"> describe a force field in <b>R<sup>3<\/sup><\/b>. <\/span><\/p>\n<p><span style=\"font-family: Helvetica; font-size: medium;\">Now suppose that <b>C <\/b>is a curve in <b>R<sup>2<\/sup><\/b> or <b>R<sup>3<\/sup><\/b> like the curve shown in the figure below. This example is the path followed by the object in the movie above. We are interested in the work done by a force <b>F <\/b>acting on an object as it travels along a curve <b>C<\/b> in a particular direction. In the example below the object travels along the curve <b>C <\/b>from left to right. <\/span><\/p>\n<p align=\"center\"><a href=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/line-integral-2.gif\" rel=\"attachment wp-att-465\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-465\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/line-integral-2.gif\" alt=\"line integral 2\" width=\"281\" height=\"281\" \/><\/a><\/p>\n<\/div>\n<p style=\"text-align: left;\" align=\"center\">Below, the region of the social \u00a0and economic forces<\/p>\n<p style=\"text-align: left;\" align=\"center\"><a href=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/hannah-graham-charolotte.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-205\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/hannah-graham-charolotte.png\" alt=\"hannah graham charolotte\" width=\"651\" height=\"537\" \/><\/a><\/p>\n<div class=\"osl\">\n<p><span style=\"font-family: Helvetica; font-size: medium;\">We estimate this work in the obvious way. First, we approximate the curve <b>C <\/b>by a polygonal path &#8212; a path made up of straight line <span class=\"SpellE\">segements<\/span> &#8212; as shown in the two figures below. <\/span><\/p>\n<p align=\"center\"><span style=\"font-family: Helvetica; font-size: medium;\"><a href=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/line-integral-21.gif\" rel=\"attachment wp-att-466\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-466\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/line-integral-21.gif\" alt=\"line integral 2\" width=\"281\" height=\"281\" \/><\/a><a href=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/line-integral-0002-okay-2.gif\" rel=\"attachment wp-att-467\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-467\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/line-integral-0002-okay-2.gif\" alt=\"line integral - 0002 okay 2\" width=\"281\" height=\"281\" \/><\/a><\/span><\/p>\n<p><span style=\"font-family: Helvetica; font-size: medium;\">We choose points <b>s<sub>0<\/sub><\/b>, <b>s<sub>1<\/sub><\/b>, <span class=\"GramE\"><b>s<sub>2<\/sub><\/b>, &#8230;<\/span> <span class=\"SpellE\"><b>s<sub>n<\/sub><\/b><\/span> along the path <b>C <\/b>and then connect these points as shown in the figure above.<\/span><\/p>\n<p>Below, Hannah \u00a0generated \u00a0points <b>s<sub>0<\/sub><\/b>, <b>s<sub>1<\/sub><\/b>, <span class=\"GramE\"><b>s<sub>2<\/sub><\/b>, &#8230;<\/span> <span class=\"SpellE\"><b>s<sub>n<\/sub><\/b><\/span> along the path <b>C in Charlotesville<\/b><\/p>\n<p style=\"text-align: left;\" align=\"center\"><a href=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/hannah-graham-good-map.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-204\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/hannah-graham-good-map.png\" alt=\"hannah graham good map\" width=\"727\" height=\"477\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"font-family: Helvetica; font-size: medium;\"> Then we estimate the work done on <span class=\"GramE\">the <span class=\"SpellE\"><b>i<\/b><\/span><\/span><span class=\"SpellE\">-th<\/span> segment of the path by <\/span><\/p>\n<p align=\"center\"><a href=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/force-field-6.png\" rel=\"attachment wp-att-468\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-468\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/force-field-6.png\" alt=\"force field 6\" width=\"357\" height=\"85\" \/><\/a><\/p>\n<p><span class=\"GramE\"><span style=\"font-family: Helvetica; font-size: medium;\">and<\/span><\/span><span style=\"font-family: Helvetica;\"> the amount of work done on the whole path by <\/span><\/p>\n<p align=\"center\"><a href=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/force-field-7.png\" rel=\"attachment wp-att-469\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-469\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/force-field-7.png\" alt=\"force field 7\" width=\"383\" height=\"100\" \/><\/a><\/p>\n<p><span style=\"font-family: Helvetica; font-size: medium;\">By using a large number of small segments we can obtain a very good estimate for the amount of work done. The exact amount of work done is obtained by taking the limit of these estimates. This limit is called the <b>line integral <\/b>of the vector field <b>F <\/b>over the path <b>C <\/b>and is denoted <\/span><\/p>\n<p align=\"center\"><a href=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/force-8.png\" rel=\"attachment wp-att-470\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-470\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/force-8.png\" alt=\"force 8\" width=\"416\" height=\"103\" \/><\/a><\/p>\n<p><span style=\"font-family: Helvetica; font-size: medium;\">In practice we usually describe the curve <b>C <\/b>by a function <\/span><\/p>\n<p align=\"center\"><a href=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/force-9.png\" rel=\"attachment wp-att-471\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-471\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/force-9.png\" alt=\"force 9\" width=\"311\" height=\"101\" \/><\/a><\/p>\n<p><span class=\"GramE\"><span style=\"font-family: Helvetica; font-size: medium;\">or<\/span><\/span><\/p>\n<p align=\"center\"><a href=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/force-10.png\" rel=\"attachment wp-att-472\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-472\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/force-10.png\" alt=\"force 10\" width=\"426\" height=\"83\" \/><\/a><\/p>\n<p><span class=\"GramE\"><span style=\"font-family: Helvetica; font-size: medium;\">and<\/span><\/span><span style=\"font-family: Helvetica;\"> we divide the time interval <b>[a, b] <\/b>up into <b>n <\/b>subintervals. <span class=\"GramE\">by<\/span> letting <\/span><\/p>\n<p align=\"center\"><a href=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/force-field-11.png\" rel=\"attachment wp-att-473\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-473\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/force-field-11.png\" alt=\"force field 11\" width=\"309\" height=\"101\" \/><\/a><\/p>\n<\/div>\n<div class=\"osl\">Thus we see the force field \u00a0&#8230;..<\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\">\n<h3 class=\"r\"><a href=\"http:\/\/mathinsight.org\/line_integral_vector_examples\">Vector line integral examples &#8211; Math Insight<\/a><\/h3>\n<div class=\"s\">\n<div>\n<div class=\"f kv _SWb\"><cite class=\"_Rm\">mathinsight.org\/<b>line<\/b>_<b>integral<\/b>_vector_examples<\/cite><\/div>\n<\/div>\n<\/div>\n<p><span class=\"st\">Example of calculating <em>line integrals<\/em> of vector fields. &#8230; compute the work done by the <em>force field<\/em> on a particle that moves along the <em>curve<\/em> that is the\u00a0&#8230;<\/span><\/p>\n<\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\">a particle that moves along the <em>curve<\/em><\/div>\n<div class=\"osl\">a particle that moves along the <em>curve<\/em><\/div>\n<div class=\"osl\">a particle that moves along the <em>curve<\/em><\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\">Below, the EARTH LAB view \u00a0of \u00a0the Hannah Graham particle that moves along a curve \u00a0&#8230;&#8230;&#8230;..<\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\"><a href=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/hannah-graham-8.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-206\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/hannah-graham-8.png\" alt=\"hannah graham 8\" width=\"282\" height=\"364\" \/><\/a><\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\"><a href=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/hannah-graham-downtown-astrocyte.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-203\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/hannah-graham-downtown-astrocyte.png\" alt=\"hannah graham downtown astrocyte\" width=\"472\" height=\"349\" \/><\/a><\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\">The other data generated by Hannah Graham \u00a0comes from another dimension of her existence.<\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\">Above, she existed in a physical \u00a0biology format .. \u00a0using 2 legs \u00a0and walking to generate a line integral \u00a0&#8230;..with her TOES providing data for Theory of Everything Scientists.<\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\">In her death &#8230; their exists another EARTH geography database region \u00a0..with various line integrals \u00a0&#8230; road maps to help understand REALITY.<\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\"><a href=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/hannah-graham-old-lybc-earth-langauge-Capture.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-208\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/hannah-graham-old-lybc-earth-langauge-Capture.png\" alt=\"hannah graham old lybc earth langauge Capture\" width=\"540\" height=\"630\" \/><\/a><\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\"><a href=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/hannah-graham-6.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-209\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/hannah-graham-6.png\" alt=\"hannah graham 6\" width=\"564\" height=\"437\" \/><\/a> <a href=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/hannah-graham-old-lynchburg.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-210\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/hannah-graham-old-lynchburg.png\" alt=\"hannah graham old lynchburg\" width=\"510\" height=\"716\" \/><\/a> <a href=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/hannah-graham-old-lynburg-old-duvai.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-211\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/hannah-graham-old-lynburg-old-duvai.png\" alt=\"hannah graham old lynburg old duvai\" width=\"456\" height=\"304\" \/><\/a><\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\">Thus we have Nature&#8217;s code &#8211;&gt; Plank RD &#8211;&gt; Plan K \u00a0Research &amp; Design<\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\">Other project Plan K \u00a0 signaling database&#8230;&#8230;..<\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\">Fort Hood \u00a0shooting in K = Kill in Killeen, Texas (code KH = Killeen Hood))<\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\">K &#8211;&gt; Killing of KHan, Haroon (code KH = KHan in NATURE&#8217;s \u00a0evolution \u00a0death signal)<\/div>\n<div class=\"osl\"><\/div>\n<div class=\"osl\">\n<h3 class=\"r\"><a href=\"http:\/\/www.jsonline.com\/news\/milwaukee\/32463819.html\">UWM student was kidnapped, killed over car, authorities say<\/a><\/h3>\n<div class=\"s\">\n<div>\n<div class=\"f kv _SWb\"><cite class=\"_Rm bc\">www.jsonline.com \u203a &#8230; \u203a Milwaukee County<\/cite><\/div>\n<\/div>\n<\/div>\n<ul>\n<li class=\"g\">\n<div class=\"rc\" data-hveid=\"29\">\n<div class=\"s\">\n<div>\n<div class=\"f kv _SWb\">\n<div class=\"crc\">\n<div class=\"crl\" data-async-context=\"res:0;ri:;site:jsonline.com\" data-async-trigger=\"cra-0-filled\" data-ved=\"0CCQQ5CswAA\">Milwaukee Journal Sentinel<\/div>\n<\/div>\n<\/div>\n<p><span class=\"st\"><span class=\"f\">Oct 7, 2008 &#8211; <\/span><em>Haroon Khan<\/em> drove a silver 2006 <em>Mitsubishi Lancer Evolution<\/em>, and Travis W. Zoellick wanted one just like it. When Khan put his up for sale,\u00a0&#8230;<\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/li>\n<li class=\"g\">\n<div class=\"rc\" data-hveid=\"38\">\n<h3 class=\"r\"><a href=\"http:\/\/www.jsonline.com\/news\/waukesha\/32441384.html\">Woman charged in slaying of UW-Milwaukee student over car<\/a><\/h3>\n<div class=\"s\">\n<div>\n<div class=\"f kv _SWb\"><cite class=\"_Rm bc\">www.jsonline.com \u203a News \u203a Waukesha County<\/cite><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/li>\n<\/ul>\n<div>\n<div>\n<div data-async-context=\"res:1;ri:;site:jsonline.com\" data-async-trigger=\"cra-1-filled\" data-ved=\"0CC0Q5CswAQ\">Milwaukee Journal Sentinel<\/div>\n<\/div>\n<\/div>\n<p>Oct 8, 2008 &#8211; According to the complaint, Zoellick killed Khan so he could steal his car. &#8230; was obsessed with obtaining a Mitsubishi Lancer Evolution, and on\u00a0&#8230;<\/p>\n<\/div>\n<div><\/div>\n<div>\n<div>\n<div>\n<div data-async-context=\"res:0;ri:;site:jsonline.com\" data-async-trigger=\"cra-0-filled\" data-ved=\"0CCQQ5CswAA\">Milwaukee Journal Sent advance message to Cambridge and Boston Marathon race<\/div>\n<\/div>\n<\/div>\n<p>Oct 7, 2008 &#8211; Haroon Khan drove a silver 2006 Mitsubishi Lancer Evolution &#8211;&gt; the prediction of the possiblility of an \u00a0MIT policeman shooting in year 2013<br \/>\nin the SCIENCE EVOLUTION wars<\/p>\n<\/div>\n<div><\/div>\n<div><\/div>\n<div><\/div>\n<div><\/div>\n<div>K &#8211;&gt; shooting at SiKH temple (code KH)<\/div>\n<div><\/div>\n<div>K &#8211;&gt; the North Korean arguments ..<\/div>\n<div>\n<h3><a href=\"http:\/\/www.csmonitor.com\/USA\/Latest-News-Wires\/2014\/1022\/Jeffrey-Fowle-reunited-with-his-family-in-Ohio\">Jeffrey Fowle reunited with his family in Ohio &#8211; CSMonitor.com<\/a><\/h3>\n<div>\n<div>\n<div>www.csmonitor.com\/&#8230;\/Jeffrey-Fowle-reu&#8230;<\/div>\n<\/div>\n<\/div>\n<div>\n<div>\n<div data-async-context=\"res:0;ri:;site:csmonitor.com\" data-async-trigger=\"cra-0-filled\" data-ved=\"0CCIQ5CswAA\">The Christian Science Monitor<\/div>\n<\/div>\n<\/div>\n<p>Oct 22, 2014 &#8211; Jeffrye Fowle was released from captivity in North Korea, six months after he was taken into custody after leaving a Bible at a nightclub.<\/p>\n<\/div>\n<div><\/div>\n<div>Thus we see many incomplete explantions about various events.<\/div>\n<div><\/div>\n<div><a href=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/abstarction-ladder-2-larger.png\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-content\/uploads\/sites\/3\/2025\/07\/abstarction-ladder-2-larger.png\" alt=\"abstarction ladder 2 larger\" width=\"497\" height=\"376\" \/><\/a><\/div>\n<div><\/div>\n<div><\/div>\n<div><\/div>\n<div><\/div>\n<div class=\"osl\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>RD-blog-number-5136 by Herb Zinser reviews Nature&#8217;s mathematical-physics wars \u00a0and biochemistry \u00a0DNA wars \u00a0for control of EARTH civilizations and their ERRORS [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-195","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-json\/wp\/v2\/posts\/195","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-json\/wp\/v2\/comments?post=195"}],"version-history":[{"count":15,"href":"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-json\/wp\/v2\/posts\/195\/revisions"}],"predecessor-version":[{"id":1115,"href":"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-json\/wp\/v2\/posts\/195\/revisions\/1115"}],"wp:attachment":[{"href":"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-json\/wp\/v2\/media?parent=195"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-json\/wp\/v2\/categories?post=195"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/region10.herbzinser07.com\/dir\/017-math\/wp-json\/wp\/v2\/tags?post=195"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}