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Solving the hardest Sudoku  part 1
JeanFrancoisPuget
Tags:
constraint_programming
mathematical_optimization
optimization
analytics
mathematics
sudoku
4 Comments
7,254 Views
Do you know the hardest Sudoku problem? Do you know the best way to solve it? Before answering these questions, let me remind you of what the Sudoku puzzle is about in case you haven't read a newspaper in the last decade (adapted from wikipedia...
from Blog: IT Best Kept Secret Is Optimization
Modified on by JeanFrancoisPuget


Centers of Polygons in OPL
Ryan J. O'Neil has written an interesting post on centers of polygons . Reason I'm blogging here is that he also asks an interesting question for the case where the polygon is a rectangle. Before looking at rectangles,...
from Blog: IT Best Kept Secret Is Optimization
Modified on by JeanFrancoisPuget


Un Peu de Math avec CPLEX
There is one thing I didn't disclose in my previous post (Un Peu de Math) on the Analytic Bridge Mathematical Competition : I used CPLEX to refine and validate various hypothesis. As usual, my first try...
from Blog: IT Best Kept Secret Is Optimization
Modified on by JeanFrancoisPuget


Un Peu de Math
The following was triggered by a mathematical problem proposed by Vincent Granville. The problem was to compute the maximum value q(n) of a function related to the well known metrics Spearman's footrule , or L1. This would then be...
from Blog: IT Best Kept Secret Is Optimization
Modified on by JeanFrancoisPuget


Minds of Modern Mathematics
Inspired by the 1960'sera World's Fair exhibit, IBM has announced an iPad app, Minds of Modern Mathematics, available for free at the App Store. The app is a vintagemeetsdigital interactive recreation of a massive 50footlong timeline from IBM's World's...
from Blog: Notes from Rational Support


New app: Minds of Modern Mathematics
In 1961 IBM did a cool thing, it sponsored Mathematica: A World of Numbers ... and Beyond , an exhibition by husbandandwife designers Charles and Ray Eames that featured, among a number of other things, a 50 footlong informational graphic titled Men of...
from Blog: Mobile development


Another Neat Piece Of Algebra  Series Summation
Here's another neat piece of algebra: A technique for summing series. You know what b  a + c  b + d  c is. Right? Suppose I were to write the same sum as: (b  a) + (c  b) + (d  c) The answer is still d  a. Right? Now, suppose I relabel with s 0 = a, s...


Finite field arithmetic in SQL
Finite fields , also known as commutative division rings , consist of finite sets of numbers, while number systems we use in daily life such as rational numbers contain an infinite number of elements. Finite fields have various applications, including...
from Blog: Administrating and Developing with Informix


Mandelbrot stored procedure test drive
Just for fun (and QA) I ran some complex plane coordinates through my mandelbrot() stored procedure and displayed the output using the java.awt.Graphics package. Here's the result.. To save coding I took an example program from the Java Developer's Alamanac...
from Blog: Administrating and Developing with Informix


SQL and the Complex Plane
The IDS UserDefined Routines and Data Types Developer's Guide hasa Complex Number example data type which creates acomplex number row type and defines overloaded plus and divide operators for them to support adding two complex numbers and dividing a complex...
from Blog: Administrating and Developing with Informix
