Articles by R on Guangchuang Yu

project euler — problem 68

December 12, 2012 | R on Guangchuang Yu

Consider the following "magic" 3-gon ring, filled with the numbers 1 to 6, and each line adding to nine. Working clockwise, and starting from the group of three with the numerically lowest external node (4,3,2 in this example), each solution can be described uniquely. For example, the above solution can be described by ... [Read more...]

project euler: problem 62

December 3, 2012 | R on Guangchuang Yu

The cube, 41063625 (3453), can be permuted to produce two other cubes: 56623104 (3843) and 66430125 (4053). In fact, 41063625 is the smallest cube which has exactly three permutations of its digits which are also cube.Find the smallest cube for which exactly five permutations of its digits are cube. Read More: 372 Words Totally [Read more...]

project euler: problem 61

November 22, 2012 | R on Guangchuang Yu

Triangle, square, pentagonal, hexagonal, heptagonal, and octagonal numbers are all figurate (polygonal) numbers and are generated by the following formulae: Triangle P3,n=n(n+1)/2 1, 3, 6, 10, 15, ... Square P4,n=n2 1, 4, 9, 16, 25, ... Read More: 1439 Words Totally [Read more...]

project-euler–problem 65

September 16, 2012 | R on Guangchuang Yu

The square root of 2 can be written as an infinite continued fraction. \( \sqrt{2} = 1+\frac{1}{2+\frac{1}{2+\frac{1}{2+\frac{1}{2+?}}}} \) \sqrt{2} = 1+\frac{1}{2+\frac{1}{2+\frac{1}{2+\frac{1}{2+?}}}} The infinite continued fraction can be written, √2 = [1;(2)], (2) indicates that 2 repeats ad infinitum. In a similar way, √23 = [4;(1,3,1,8)]. Read More: 1030 Words Totally [Read more...]

clusterProfiler: an R Package for Comparing Biological Themes Among Gene Clusters

May 6, 2012 | R on Guangchuang Yu

Increasing quantitative data generated from transcriptomics and proteomics require integrative strategies for analysis. Here, we present an R package, clusterProfiler that automates the process of biological-term classification and the enrichment analysis of gene clusters. The analysis module and visualization module were combined into a reusable workflow. Currently, clusterProfiler supports three ... [Read more...]

draw chinese character Jiong using ggplot2

February 17, 2012 | R on Guangchuang Yu

The Chinese character Jiong (囧) is now widely used for expressing ideas or feelings such as annoyance, shock, embarrassment, awkwardness, scorn. The function plot of y=1/(x^2-1) looks very similar of this symbol. I use ggplot2 to draw the symbol of Jiong. Read More: 359 Words Totally [Read more...]

ML-Class Ex 7 – kMeans clustering

December 24, 2011 | R on Guangchuang Yu

The K-means algorithm is a method to automatically cluster similar data examples together. The intuition behind K-means is an iterative procedure that starts by guessing the initial centroids, and then refines this guess by repeatedly assigning examples to their closest centroids and then recomputing the centroids based on the assignments. ... [Read more...]

project euler – problem 49

November 8, 2011 | R on Guangchuang Yu

The arithmetic sequence, 1487, 4817, 8147, in which each of the terms increases by 3330, is unusual in two ways: (i) each of the three terms are prime, and, (ii) each of the 4-digit numbers are permutations of one another. There are no arithmetic sequences made up of three 1-, 2-, or 3-digit primes, ... [Read more...]

project euler – Problem 32

November 8, 2011 | R on Guangchuang Yu

We shall say that an n-digit number is pandigital if it makes use of all the digits 1 to n exactly once; for example, the 5-digit number, 15234, is 1 through 5 pandigital. The product 7254 is unusual, as the identity, 39 × 186 = 7254, containing multiplicand, multiplier, and product is 1 through 9 pandigital. Read More: 488 Words Totally [Read more...]

project euler-Problem 43

November 7, 2011 | R on Guangchuang Yu

The number, 1406357289, is a 0 to 9 pandigital number because it is made up of each of the digits 0 to 9 in some order, but it also has a rather interesting sub-string divisibility property. Let d1 be the 1st digit, d2 be the 2nd digit, and so on. In this way, we note ... [Read more...]

project euler-Problem 41

November 7, 2011 | R on Guangchuang Yu

We shall say that an n-digit number is pandigital if it makes use of all the digits 1 to n exactly once. For example, 2143 is a 4-digit pandigital and is also prime. What is the largest n-digit pandigital prime that exists? Read More: 288 Words Totally [Read more...]

Machine Learning Ex4 – Logistic Regression

October 24, 2011 | R on Guangchuang Yu

Exercise 4 required implementing Logistic Regression using Newton's Method. The dataset in use is 80 students and their grades of 2 exams, 40 students were admitted to college and the other 40 students were not. We need to implement a binary classification model to estimates college admission based on the student's scores on these two ... [Read more...]
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