https://www.joesadow.com/interestingmath daily 0.75 2022-11-03 https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1528746385734-X9TT0CM4OMIOYNBTOBGY/Krig_8.png Blog https://www.joesadow.com/interestingmath/7sjpkaezkb5tpmthgr565rmrr9ew4x monthly 0.5 2022-06-11 https://www.joesadow.com/interestingmath/ar8ecce2ywr8gj54hjbd775p26jtzn monthly 0.5 2022-05-02 https://www.joesadow.com/interestingmath/3x66a44c2bx5k3fbcsmgtlfab2h5k3 monthly 0.5 2022-04-02 https://www.joesadow.com/interestingmath/9rk8zxht534e3l4b5nckw3s4d5hgrb monthly 0.5 2022-04-02 https://www.joesadow.com/interestingmath/brbpkjjlg7n682acc7g46jxsclz3br monthly 0.5 2022-03-15 https://www.joesadow.com/interestingmath/7hay5fmgxgh7gg7djmayrm2ntjakx9 monthly 0.5 2022-03-15 https://www.joesadow.com/interestingmath/gentlemaninmoscow monthly 0.5 2020-07-30 https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1594607318141-IKRIJZCXG2PBSPYZU8JR/9780143110439.jpg Blog - How 1920s Russia can teach us about 2020s Quarantined America https://www.joesadow.com/interestingmath/8l5jhkxtt89fkt7mk3wppsd6erdmhg monthly 0.5 2020-06-22 https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1592607330702-K9226RKVYPXGZ8KDGMGD/woman_sq-2b0f80ce805d275e727a2c09960210166fc8cfac-s800-c85.jpg Blog - The real James Bond is a woman https://www.joesadow.com/interestingmath/https/joesadowsquarespacecom/blog-page-url/2018/6/11-5 monthly 0.5 2020-05-14 https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1589473535541-5HI487NY7II5G74R437T/38820046._UY2560_SS2560_.jpg Blog - Some number of diatribes for any century https://www.joesadow.com/interestingmath/hf9j3ssnjcsrr4w33xbr3szctsltj4 monthly 0.5 2020-05-14 https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1589474331341-GCJJWLZZCPO4THOAL0X3/unnamed%2B%281%29.jpg Blog - Fun and serious error anecdotes that humanizes math https://www.joesadow.com/interestingmath/r43kt2fgbzzxh8raytbpzs8l56xh9z monthly 0.5 2019-08-29 https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1557976213450-8AY0L97F8ECJT08O0I09/1.JPG Blog - Montmort's Gamble: Thinking about Increasingly Frequent yet Less Likely Events Orange = 1-exp(-1) with the blue being truncated Taylor series approximations https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1558023592199-K1HMUDS2AYOU59XQLUCO/2.JPG Blog - Montmort's Gamble: Thinking about Increasingly Frequent yet Less Likely Events For N = 10, the probability of getting 9 matches is zero but 10 matches is not! Why do you think that is? https://www.joesadow.com/interestingmath/fzdnm9bn5z3yrrdkawba6ytr5se6l6 monthly 0.5 2018-12-19 https://www.joesadow.com/interestingmath/p9d6tecrt2ctjbxzzl8xckrn4mr2en monthly 0.5 2018-11-01 https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1541110837703-ZCIX1176DS8BFSC85J6S/Potato+Problem+Answers_+N+%3D+109+%281%29.png Blog - Students Succumb to Spud Stupefaction The results of student answers to the Potato Paradox; answer is on top of each tab. https://www.joesadow.com/interestingmath/m556w8dswe4be86pwacndlp6gyd2sf monthly 0.5 2019-05-15 https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1536347947661-WB12SZYQDNB7YZ410C77/blogpic1.PNG Blog - The Philosophy of Probability I A,B are events contained in S (the sample space of all events) which is sitting in the field F containing all of S as well as the possible combinations of events in S. https://www.joesadow.com/interestingmath/thk5saa5ebwc7p44n2r3lw3spn7azz monthly 0.5 2018-09-06 https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1533929594357-JYOKVQKP302OV4WJL0MA/Capture.PNG Blog - Full-Time Part-Timing, the Adjunct Problem in America's Colleges The annual report on collegiate faculty [1] giving pay rates for adjunct faculty https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1533929821335-NQH2VN47LLJ52U1T7YT5/2.PNG Blog - Full-Time Part-Timing, the Adjunct Problem in America's Colleges The salary of college presidents [1]. https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1533933987158-LRYQ9CBKB3CNDSAOC64V/2014-04_cartoon.jpg Blog - Full-Time Part-Timing, the Adjunct Problem in America's Colleges A non-exaggerated depiction of events; I think ASU's Michael Crowe might even consider this office suite a little small. There is more than one case of homeless or nearly homeless professors. Source: Hightower London https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1533932213879-SKDCOE8KN7NK5ZI8OYPE/4.PNG Blog - Full-Time Part-Timing, the Adjunct Problem in America's Colleges Chief Academic Officer Salary [1] https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1533935227388-MKU1W2O6CLASQ7K744IR/adjunct-pay.jpg Blog - Full-Time Part-Timing, the Adjunct Problem in America's Colleges All credit for this cartoon goes to the Source https://www.joesadow.com/interestingmath/sysd9b6n272rtm3xebf364pxmlm6yc monthly 0.5 2018-08-02 https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1532498722125-TUA7EJ102GOBU7SB1QI5/download.jpg Blog - It is Not Just What, but How: The Boy or Girl Paradox Richard von Mises (courtesy of Wikipedia) https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1532558742658-Y08ZVASY3JL85V523ON2/Capture.PNG Blog - It is Not Just What, but How: The Boy or Girl Paradox https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1532543662329-YC6WN98QK3RGRZDUCN7X/download+%281%29.jpg Blog - It is Not Just What, but How: The Boy or Girl Paradox Martin Gardner, puzzle master. Courtesy of Wikipedia https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1532554638896-JA30SEC4U0ZMOZXF919O/Q1Sol.PNG Blog - It is Not Just What, but How: The Boy or Girl Paradox https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1532554697522-TGW4S5067K0LQMVKG3VR/Q2Sol.PNG Blog - It is Not Just What, but How: The Boy or Girl Paradox https://www.joesadow.com/interestingmath/nfhnnbnr7skkrtb77jm35fj3k55h5w monthly 0.5 2018-09-06 https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1531870500563-VDEJ4VUXBNZYFSTPGLQ9/image-asset.jpeg Blog - The Awkward Birthday Singing Problem: An Ode to Shakira A pug capturing the emotion of getting sung at by off-camera staff at the strangely named purple restaurant "Getty Images" for her birthday (colorized, 2018). Photo by LightFieldStudios/iStock / Getty Images https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1531868402246-8EW45AGTRQ3E4S4DX9R4/1.PNG Blog - The Awkward Birthday Singing Problem: An Ode to Shakira The superscript c denotes the event "not E", i.e no one else having D as their birthday. https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1531868448880-OMNVCTA0IYLTMOKCU9SB/2.PNG Blog - The Awkward Birthday Singing Problem: An Ode to Shakira The only two options are E or not E. As a result, subtract the probability of not E from 100 percent to get the probability of E https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1531869441495-RYFLTSU1NVXVIVVWV8I4/3.PNG Blog - The Awkward Birthday Singing Problem: An Ode to Shakira https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1531869958937-5BH29BK77EJN74GLB1BH/4.png Blog - The Awkward Birthday Singing Problem: An Ode to Shakira Fixed the birthday ahead of time as in our problem (red) against just simply having two shared birthdays among the party (that could be any date, blue). Think about how to use the same reasoning we used in the red case to see how I generated the blue case. https://www.joesadow.com/interestingmath/jmgsp3wz792t47p5zlcwz53drlw4he monthly 0.5 2018-07-25 https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1531263139278-MDYIZDHNJWVHS2UKYEU0/2.PNG Blog - An Interesting Group of Matrices https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1531337844976-I5MZFCOXKNULT9EDIW0U/5.PNG Blog - An Interesting Group of Matrices https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1531338134110-3BH9YBTZFPN519IY2IF4/6.png Blog - An Interesting Group of Matrices The unit sphere in 3D using the "sphere" command in MATLAB https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1531338157502-D2V6HEPGJLYBF5JYQ522/7.png Blog - An Interesting Group of Matrices Using the upper triangular matrix to transform each 3D point defining the unit sphere. a = 0.1 b = 1.5; and c = 0.1 https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1531263318316-84B8ECB7C7DC9QNK9SY6/1.PNG Blog - An Interesting Group of Matrices https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1531263742508-PLU5IGQ1YHZ2GDCT17OK/3.PNG Blog - An Interesting Group of Matrices https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1531264327336-WYXTUQ7URZC3I40WB2RZ/4.PNG Blog - An Interesting Group of Matrices https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1531345840408-VP6TOOZ1GEA6G0W9RK9E/8.PNG Blog - An Interesting Group of Matrices https://www.joesadow.com/interestingmath/https/joesadowsquarespacecom/blog-page-url/2018/6/11-4 monthly 0.5 2018-09-06 https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1530132975544-TJ0TRCS0W930ZA6VSDR4/FOIL.PNG Blog - The Freshman's Dream and Pattern Memorization https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1531236791373-TX6E2NAUMARYHRZTJ9VU/FOIL2.PNG Blog - The Freshman's Dream and Pattern Memorization Surely exponents "distribute" like this? I use a question mark over the equal sign to denote this unsureness. https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1530135978048-LE1R2UV3VKA2C5K7MZH1/FOIL3.PNG Blog - The Freshman's Dream and Pattern Memorization https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1530136456477-479YAVVS1S01NIY9UPI5/FOIL4.PNG Blog - The Freshman's Dream and Pattern Memorization https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1530136774067-UUWGNBA2BYFAHG1K031Y/FOILLOL.PNG Blog - The Freshman's Dream and Pattern Memorization https://www.joesadow.com/interestingmath/https/joesadowsquarespacecom/blog-page-url/2018/6/11-1 monthly 0.5 2018-09-06 https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1529351684929-K4MCURV3FHQXEEIPXL58/Weierstrass_6.jpg Blog - Karl Weierstrass and the Function S'more The cheery mug of Karl Weierstrass [1], known as the father of analysis. https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1529371855289-RA1LTYEDSCA91QVJW989/Capture.PNG Blog - Karl Weierstrass and the Function S'more https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1529372166923-96PSOXLHMAOZPHXET9DC/code.PNG Blog - Karl Weierstrass and the Function S'more https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1529371617408-W9EC7QWEL35H8QGWII8W/func.png Blog - Karl Weierstrass and the Function S'more Figure 1: For every x, the above function is continuous but not differentiable! https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1529372720784-JJTGO883MPIARQHB7ZZF/soln.png Blog - Karl Weierstrass and the Function S'more Figure 2: The solution (red) to approximating Weierstrass' nasty function (blue) https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1529373262013-3YYPB9C1KOPY9PT7PJDM/theorem.PNG Blog - Karl Weierstrass and the Function S'more https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1529373495564-26JNORRQ8OU8PJTKS66X/heat.PNG Blog - Karl Weierstrass and the Function S'more https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1529373740817-JUIU1NVGDU552BMW1XOW/solne.PNG Blog - Karl Weierstrass and the Function S'more https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1529373725646-PNM3EDFSUWDN1AX5WRJQ/kern.PNG Blog - Karl Weierstrass and the Function S'more https://www.joesadow.com/interestingmath/2018/6/9/spatial-interpolation-kriging-and-radial-basis-functions monthly 0.5 2018-09-06 https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1528732951767-WOQKYPI42RTYQ46V2VB5/DanieKrige.gif Blog - Spatial Interpolation: An Introduction to Kriging Danie Krige, credit to www.quazoo.com https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1528745227917-2MB9JA25EUTTCIR5LPAA/Krig_9.png Blog - Spatial Interpolation: An Introduction to Kriging Figure 1: The borehole problem: boreholes are made in a region for the purpose of measuring where and how much gold is present. The height of the stems give the amount of gold present. Scales and units omitted for brevity. https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1528684677447-ABUE8NSVU1DGKEK2IMKN/Krig_1.PNG Blog - Spatial Interpolation: An Introduction to Kriging https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1528736533269-LKX5CYTZI3X9IW9HDQQV/Krig_3.PNG Blog - Spatial Interpolation: An Introduction to Kriging https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1528739153545-DPPLZVBTZPGYG0C3Y3XU/Gaussian_Krig.png Blog - Spatial Interpolation: An Introduction to Kriging The spatial correlation function R as a function of distance and the shape parameter is 3. A mathematical representation of the 1st law of geography. https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1528742775424-YFS0SSC5TM876ONT3HHW/Krig_4.png Blog - Spatial Interpolation: An Introduction to Kriging The 1D test situation. The red line is the "truth" with red cirlces the location of the "gold boreholes" https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1528742515130-7PLXUE3DO2HEA346O0KM/Krig_5.png Blog - Spatial Interpolation: An Introduction to Kriging The blue line is the Kriging prediction, notice it perfect interpolates the red line at the data sites. https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1528743482950-XXQGXYU3BBR96KOQL82I/Krig_6.png Blog - Spatial Interpolation: An Introduction to Kriging The same figure above but with confidence intervals showing 2 standard deviations in either direction from the Kriging prediction. https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1528744453122-86MA1GFCLHGTQOIJV0TF/Krig_7.png Blog - Spatial Interpolation: An Introduction to Kriging A three dimensional data set shown in red stems over the true surface to be estimated. https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1528744662509-RW0NDKD9441NQJI26LAD/Krig_8.png Blog - Spatial Interpolation: An Introduction to Kriging The Kriging prediction of the test surface using the red data points in 3D space. https://www.joesadow.com/interestingmath/category/Book+Reviews monthly 0.5 https://www.joesadow.com/interestingmath/category/Numerical+Analysis monthly 0.5 https://www.joesadow.com/interestingmath/category/Probability monthly 0.5 https://www.joesadow.com/interestingmath/category/Statistics monthly 0.5 https://www.joesadow.com/interestingmath/category/Linear+Algebra monthly 0.5 https://www.joesadow.com/interestingmath/category/Teaching monthly 0.5 https://www.joesadow.com/interestingmath/tag/Paradox monthly 0.5 https://www.joesadow.com/interestingmath/tag/Conditional+Probability monthly 0.5 https://www.joesadow.com/interestingmath/tag/Higher+Education monthly 0.5 https://www.joesadow.com/interestingmath/tag/Pug monthly 0.5 https://www.joesadow.com/interestingmath/tag/spudly+math monthly 0.5 https://www.joesadow.com/interestingmath/tag/Historical+Fiction monthly 0.5 https://www.joesadow.com/interestingmath/tag/Objective+Probability monthly 0.5 https://www.joesadow.com/interestingmath/tag/Geostatistics monthly 0.5 https://www.joesadow.com/interestingmath/tag/Kriging monthly 0.5 https://www.joesadow.com/interestingmath/tag/Chance monthly 0.5 https://www.joesadow.com/interestingmath/tag/Interpolation monthly 0.5 https://www.joesadow.com/interestingmath/tag/NYT+Bestseller monthly 0.5 https://www.joesadow.com/interestingmath/tag/WW2 monthly 0.5 https://www.joesadow.com/interestingmath/tag/Adjunct monthly 0.5 https://www.joesadow.com/interestingmath/tag/Nonfiction monthly 0.5 https://www.joesadow.com/interestingmath/tag/Bad+Heuristics monthly 0.5 https://www.joesadow.com/interestingmath/tag/Spies monthly 0.5 https://www.joesadow.com/interestingmath/tag/Philosophy monthly 0.5 https://www.joesadow.com/who-is-joe daily 0.75 2022-12-30 https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1552538187979-LXJV8VQVUGNV68KCDMEI/DSC_2341.jpg Who is he? https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1552538189833-BLC1Z9NE6F8X1A7Y5WCY/DSC_2466.jpg Who is he? https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1582752512068-TWNAG9AY37P7HRGP921O/OKehkoHM.png Who is he? https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1552538008096-FOVE2RM0F2IYH4MLKG6C/DSC_3000+%281%29.jpg Who is he? https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1575575542442-D39EZ9RP06IQLEBBVY2G/Joe-Headshots-11-22-190060-website.jpg Who is he? https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1532502413641-2M0HYAI0C300O7Z0W4WW/13909211_1048460388574003_6939218633331430133_o.jpg Who is he? https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1545200031361-8QWCQ8JZ77PFIDY0HYJ4/20901329_1411168168969888_6246089639322813938_o.jpg Who is he? https://images.squarespace-cdn.com/content/v1/5b1af4a0da02bc2159e44e30/1541109122058-ZIX1QDX3USKSBR0TV3XO/39736418_10156720570376942_7472270040134320128_o.jpg Who is he? 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