ianchanning + mathematics   101

Berkson's paradox
An example presented by Jordan Ellenberg: Suppose Alex will only date a man if his niceness plus his handsomeness exceeds some threshold. Then nicer men do not have to be as handsome to qualify for Alex's dating pool. So, among the men that Alex dates, Alex may observe that the nicer ones are less handsome on average (and vice versa), even if these traits are uncorrelated in the general population. Note that this does not mean that men in the dating pool compare unfavorably with men in the population. On the contrary, Alex's selection criterion means that Alex has high standards. The average nice man that Alex dates is actually more handsome than the average man in the population (since even among nice men, the ugliest portion of the population is skipped). Berkson's negative correlation is an effect that arises within the dating pool: the rude men that Alex dates must have been even more handsome to qualify.
Wikipedia  paradoxes  statistics  mathematics  Psychology 
yesterday by ianchanning
Leo Breiman 1928--2005
Professor Breiman was a member of the National Academy of Sciences. His research in later years focussed on computationally intensive multivariate analysis, especially the use of nonlinear methods for pattern recognition and prediction in high dimensional spaces. He was a co-author of Classification and Regression Trees and he developed decision trees as computationally efficient alternatives to neural nets. This work has applications in speech and optical character recognition. He was the author of the textbooks Probability and Stochastic Processes with a View Toward Applications, Statistics with a View Toward Applications, and Probability.
decisiontrees  machinelearning  research  statistics  mathematics  randomforests 
11 weeks ago by ianchanning
Agda
Agda is a dependently typed functional programming language. It has inductive families, i.e., data types which depend on values, such as the type of vectors of a given length. It also has parametrised modules, mixfix operators, Unicode characters, and an interactive Emacs interface which can assist the programmer in writing the program.
haskell  functionalprogramming  mathematics  theorems  research 
september 2018 by ianchanning
Map of the complex roots of ax^2 + bx +c
beginfig(2) %%%%
n:=25;
%range for a, b, c
u:=2cm; %unit
p:=0.1bp; %diameter of dots
for a=1 upto n:
for c=-n upto n:
for b=-n upto n:
Delta:=b*b-4*a*c;
if Delta<0:
d:=sqrt(-Delta);
draw ((-b)/(2*a)*u,d*u/(2*a)) withpen pencircle scaled p
;
draw ((-b)/(2*a)*u,-d*u/(2*a)) withpen pencircle scaled
p;%
fi;
endfor;
endfor;
endfor;
draw origin withpen pencircle scaled 3bp withcolor red;
draw (1u,0) withpen pencircle scaled 2bp withcolor blue;
endfig;
mathematics  Inspiration  art 
august 2018 by ianchanning
Ham Mathematics
The supermarket was using the term in the mathematical sense: difference as in subtraction. The taste had been subtracted.
mathematics  food  supermarkets  blogs 
july 2015 by ianchanning
David Ruelle - Wikipedia, the free encyclopedia
Coined the term "strange attractor". Belgian scientist who won the Max Planck medal in 2014
physics  belgium  belgie  belgique  science  mathematics  chaos  turbulence  max  planck  medal 
november 2014 by ianchanning
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