Keita Abe
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Symmetry of vector
Determine whether the vector is symmetric or not (vector could be even or odd in length). For example: x = [1 2 3 3 2 1] is s...
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Sum of series VII
What is the sum of the following sequence: Σ(km^k)/(k+m)! for k=1...n for different n and m?
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Sum of series VI
What is the sum of the following sequence: Σk⋅k! for k=1...n for different n?
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10×10の三重対角行列のfor文を利用した作り方について
for文を使わない方法ではダメですか? diag という関数を使うと簡単にできそうでした。 対角行列の作成と行列の対角要素の取得 - MATLAB diag - MathWorks 日本 v = 4*ones(1,10); v1 = -1*ones...
10×10の三重対角行列のfor文を利用した作り方について
for文を使わない方法ではダメですか? diag という関数を使うと簡単にできそうでした。 対角行列の作成と行列の対角要素の取得 - MATLAB diag - MathWorks 日本 v = 4*ones(1,10); v1 = -1*ones...
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Sum of series V
What is the sum of the following sequence: Σk(k+1) for k=1...n for different n?
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Sum of series IV
What is the sum of the following sequence: Σ(-1)^(k+1) (2k-1)^2 for k=1...n for different n?
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Sum of series III
What is the sum of the following sequence: Σ(2k-1)^3 for k=1...n for different n?
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Sum of series II
What is the sum of the following sequence: Σ(2k-1)^2 for k=1...n for different n?
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Approximation of Pi
Pi (divided by 4) can be approximated by the following infinite series: pi/4 = 1 - 1/3 + 1/5 - 1/7 + ... For a given number of...
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Sum of series I
What is the sum of the following sequence: Σ(2k-1) for k=1...n for different n?
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Is the paranthesis sequence balanced ?
Quantum mechanics and computer science are interested in bra-kets. Today however you, the player, will have to write a function ...
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Morse Code Generator! Try it!
.... . .-.. .-.. --- . ...- . .-. -.-- --- -. . -.-.-- .-.. . - ... -.. --- ... --- -- . -- --...
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Alternately upper-lower case
Modify the string to alternate between upper and lower case. For example, s='achyuta' output='AcHyUtA' Update - Test case...
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Eliminate Polysyllabics: Long live short words!
Given a string s1, return s2 in which all the words with more than one syllable have been removed. To make things simple, we ...
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Can we make a triangle?
Given three positive number, check whether a triangle can be made with these sides length or not. remember that in a triangle su...
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Find the sides of an isosceles triangle when given its area and height from its base to apex
Find the sides of an isosceles triangle when given its area and the height from its base to apex. For example, with A=12 and ...
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Height of a right-angled triangle
Given numbers a, b and c, find the height of the right angled triangle with sides a and b and hypotenuse c, for the base c. If a...
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Right Triangle Side Lengths (Inspired by Project Euler Problem 39)
If _p_ is the perimeter of a right angle triangle with integral length sides, { _a_, _b_, _c_ }, there are exactly three solutio...
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Calculate the area of a triangle between three points
Calculate the area of a triangle between three points: P1(X1,Y1) P2(X2,Y2) P3(X3,Y3) these three points are the vert...
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Find my daddy long leg (No 's')
Given the ratio of the two legs (longer / shorter), and the hypotenuse length, find the value of the bigger leg.
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There are 10 types of people in the world
Those who know binary, and those who don't. The number 2015 is a palindrome in binary (11111011111 to be exact) Given a year...
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Binary code (array)
Write a function which calculates the binary code of a number 'n' and gives the result as an array(vector). Example: Inpu...
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Relative ratio of "1" in binary number
Input(n) is positive integer number Output(r) is (number of "1" in binary input) / (number of bits). Example: * n=0; r=...
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Bit Reversal
Given an unsigned integer _x_, convert it to binary with _n_ bits, reverse the order of the bits, and convert it back to an inte...
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Converting binary to decimals
Convert binary to decimals. Example: 010111 = 23. 110000 = 48.
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Given an unsigned integer x, find the largest y by rearranging the bits in x
Given an unsigned integer x, find the largest y by rearranging the bits in x. Example: Input x = 10 Output y is 12 ...
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Binary numbers
Given a positive, scalar integer n, create a (2^n)-by-n double-precision matrix containing the binary numbers from 0 through 2^n...
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Find out sum and carry of Binary adder
Find out sum and carry of a binary adder if previous carry is given with two bits (x and y) for addition. Examples Previo...
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Convert given decimal number to binary number.
Convert given decimal number to binary number. Example x=10, then answer must be 1010.
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Find the longest sequence of 1's in a binary sequence.
Given a string such as s = '011110010000000100010111' find the length of the longest string of consecutive 1's. In this examp...
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