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dead reckonings lost art in the mathematical sciences skip to content primary menu home about contact mental calculation papers search search for dead reckonings lost art in the mathematical sciences welcome to the new home of dead reckonings august 31 2016 august 31 2016 ron doerfler 5 comments i have moved my dead reckonings blog from its original home to this site to improve performance and bring a new look to the blog i hope you like the new style i tried out some newer typefaces but reverted to the old georgia because i simply love the look and readability of numbers in this font and there are a lot of numbers in this blog i will be publishing new content soon so please stay tuned ron administrative new sliver data visualization software january 1 2015 august 31 2016 ron doerfler 5 comments i am happy to announce sliver a free software application i wrote over the last two years for multivariate data visualization sliver includes parallel coordinate pc plots pc plot matrices various types of configurable 2d and 3d scatterplots and plots overlaid on google earth all fully linked by color brushing transparency alpha blending is supported as seen at left sliver also offers data animation including google earth animation as well as the grand tour a rotation through n space that reveals correlations and structures in multidimensional data have a look this modern application may seem at odds with the theme of my blog but in fact it was maurice d ocagne who coined the term parallel coordinates in regard to his parallel scale nomograms a hundred years later alfred inselberg extended this idea of parallel scales as a way of visually analyzing multi dimensional data inselberg and others make use of some of d ocagne s work on point line duality to characterize functional relationships between variables as structures and envelopes of the lines drawn between their axes continue reading data visualization parallel coordinates mathematics themed valentine s day card january 16 2013 august 31 2016 ron doerfler 8 comments the final completion of my 2013 calendar graphical astronomy has been delayed so at this point i am going to update the dates for 2014 and post it this fall as partial compensation i ve created a valentine s day card for mathematically inclined people that can be downloaded printed and folded it is appropriate whether the person giving the card or receiving it is interested in math or both and in fact it s not valentine s day specific so it can be used for birthdays or anytime at all continue reading mathematics bayes theorem medical diagnostics and nomograms march 11 2012 august 31 2016 ron doerfler 4 comments last month joe marasco leif roschier and i published an article on bayes theorem in the umap journal that included a foldout of large circular nomograms for calculating the results from it the article doc what are my chances can be freely downloaded from the modern nomograms webpage which also offers commercial posters of the two nomograms used to calculate bayes theorem one for common cases and one optimized for calculating rare cases continue reading mathematics nomography new modern nomograms website march 11 2012 august 31 2016 ron doerfler 1 comment i want to announce that my fellow collaborators in nomography joe marasco and leif roschier and i have a new website called modern nomograms to offer posters of new nomograms that we hope will interest people our initial posters are nomograms for calculating results from bayes theorem as described in the next post here but we expect more will follow this project does not in any way affect the content here essays will continue to be written as usual on lost arts in the mathematical sciences including nomography this is simply an outlet to provide an option for nomograms in poster form mathematics nomography the 13th root of a 100 digit number part ii october 5 2011 october 13 2019 ron doerfler 3 comments by ron doerfler and miles forster part i of this essay provided background information that demonstrates the difficulty of the problem of mental extraction of 13th roots and the efforts of calculators to master it but can it be possible for us to extract 13th roots of 100 digit numbers without devoting portions of our life to it with a basic talent in mental arithmetic and some study it can certainly be done even if not in record time we present a new method that involves no logarithms no antilogarithms and no factoring one that works with 13th powers that end in 1 3 7 or 9 the cases attempted by record holders the memorization consists of one table and a few formulas a printer friendly pdf version of parts i and ii is linked at the end of this essay continue reading mathematics mental calculation the 13th root of a 100 digit number part i october 5 2011 october 13 2019 ron doerfler 2 comments by ron doerfler and miles forster mental calculators of note so called lightning calculators developed areas of expertise in performing calculations that seem astonishing even unbelievable to the rest of us one such specialty is calculating the 8 digit root of a 13th power of 100 digits achieving record times historically required massive memorization and calculating speed racing through a procedure that remains a mystery to most people part i of this essay provides a historical overview of the extraction of 13th roots including the methods used by a few mental calculators methods that largely rely on a mix of intensive mental calculation and large scale rote memorization it demonstrates the creativity and drive of these marvelous people in part ii of this essay we will propose a new method for 13th roots like those posed to lightning calculators that is relatively easy to learn one that makes this feat feasible for those of us with basic mental math capabilities and a desire to do something amazing a printer friendly pdf version of parts i and ii is linked at the end of this essay continue reading mathematics mental calculation book review the history and development of nomography by h a evesham february 12 2011 august 31 2016 ron doerfler 7 comments those of us who enjoy our expeditions through the lost world of nomography quickly discover that many original sources that are still considered masterpieces in the field have never been translated into english in my case this is a serious handicap and i find myself struggling through the texts trying to understand the rationale behind the beautiful nomograms i see on the printed page nomography and its predecessors were invented in france and only later spread to such places as germany the u s britain russia and poland today it seems to me that most research appears in czech journals in addition to the language difficulties many of the original sources are in obscure hard to find journals in 1982 h a evesham produced his doctoral thesis a review of the important discoveries in nomography it is often cited in other works but unless you know someone who knows someone it is very difficult to find i have never been able to locate a copy however just recently mr evesham s thesis has been professionally typeset and released as a book click here or here by docent press under the aegis of scott guthery if you have an interest in the theoretical aspects of nomography beyond the basic construction techniques of most books and of my earlier essays you will appreciate this book as much as i do mr evesham does a wonderful job of weaving mathematical discoveries in nomography from many contributors into a readable but scholarly work continue reading books mathematics nomography a 2011 lightning calculation calendar november 22 2010 august 29 2016 ron doerfler 26 comments i have researched and written about methods of mental calculation over the years and i m often surprised at the ingenuity evident in the mathematical methods developed specifically for it based on my lightning calculator series of essays here i ve created a new 2011 calendar titled lightning calculation it s a unique interactive calendar for developing abilities in mental calculation you can download a free pdf file for printing on your computer or if you prefer order it for delivery through lulu com i also think it might be a nice thing to make as a christmas gift for someone interested in this sort of thing or for displaying in a math classroom continue reading calendars mathematics mental calculation lallemand s l abaque triomphe hexagonal charts and triangular coordinate systems part ii may 5 2010 august 31 2016 ron doerfler 2 comments part i of this essay described and analyzed charles lallemand s l abaque triomphe the first published example of a graphical computer called a hexagonal chart here we discuss the mathematical principles behind hexagonal charts and provide examples of these charts from the literature of the time the related development of triangular coordinate systems is also covered in this second part trilinear diagrams a simpler offshoot of triangular coordinate systems are still seen today in fields such as geology physical chemistry and metallurgy as shown to the left a list of references is provided as well a printer friendly word pdf version with more detailed images is linked at the end with a hexagonal overlay in the appendix that can be used to exercise these charts continue reading mathematics nomography previous articles civilisation loses its treasures by an unconscious process it has lost them before it has appreciated that they were in the way of being lost and when i say its treasures i mean the special discoveries and crafts of mankind hilaire belloc 1940 welcome this journal attempts to capture in brief essays my encounters with the technically elegant but nearly forgotten in the mathematical sciences artistically creative works that can take our breath away with their brilliance please click on the about tab for more details comments are appreciated also you can click on the contact tab to submit any questions or ideas for new topics ron doerfler recent posts welcome to the new home of dead reckonings new sliver data visualization software mathematics themed valentine s day card bayes theorem medical diagnostics and nomograms new modern nomograms website recent comments orwin o dowd on the analemmas of vitruvius and ptolemy 7 different ways to become an easier poker player battat advisors on lightning calculators i the players double maths first thing issue d the aperiodical on heaviside s operator calculus 海维赛德的算子微积分 2007年 偏执的码农 on heaviside s operator calculus oliver heaviside s operator calculus 2007 joebig on december 1 2024 on heaviside s operator calculus tyreese nelson on the analemmas of vitruvius and ptolemy vladimir schejbal on nomography article in the umap journal ron doerfler on off topic plans unfolding paper organizer software m on off topic plans unfolding paper organizer software robert on a 2011 lightning calculation calendar categories categories select category administrative astronomy books calendars clocks data visualization mathematics mental calculation nomography off topic parallel coordinates physics sundials follow blog via email enter your email address to follow this blog and receive notifications of new posts by email email address follow create a website or blog at wordpress com dead reckonings create a website or blog at wordpress com subscribe subscribed dead reckonings sign me up already have a wordpress com account log in now privacy dead reckonings subscribe subscribed sign up log in report this content view site in reader manage subscriptions collapse this bar loading comments write a comment email required name required website