# Igor Kheyfets

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M.S. Candidate in Computer Science

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Fibonacci Decomposition

Every positive integer has a unique decomposition into nonconsecutive Fibonacci numbers f1+f2+ ... Given a positive integer n, r...

4 years ago

Solved

How many Fibonacci numbers?

Find the number of unique Fibonacci numbers (don't count repeats) in a vector of positive integers. Example: x = [1 2 3 4...

4 years ago

Solved

Project Euler: Problem 2, Sum of even Fibonacci

Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 te...

4 years ago

Solved

Number of Even Elements in Fibonacci Sequence

Find how many even Fibonacci numbers are available in the first d numbers. Consider the following first 14 numbers 1 1 2...

4 years ago

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Fibonacci-Sum of Squares

Given the Fibonacci sequence defined by the following recursive relation, * F(n) = F(n-1) + F(n-2) * where F(1) = 1 and F(1)...

4 years ago

Solved

Return the Fibonacci Sequence

Write a code which returns the Fibonacci Sequence such that the largest value in the sequence is less than the input integer N. ...

4 years ago

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Fibonacci sequence

Calculate the nth Fibonacci number. Given n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ... Examples: Inpu...

4 years ago

Solved

Calculate a Damped Sinusoid

The equation of a damped sinusoid can be written as |y = A.ⅇ^(-λt)*cos(2πft)| where |A|, |λ|, and |f| ...

4 years ago

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Solve a System of Linear Equations

*Example*: If a system of linear equations in _x₁_ and _x₂_ is: 2 _x₁_ + _x₂_ = 2 _x₁...

4 years ago

Solved

Verify Law of Large Numbers

If a large number of fair N-sided dice are rolled, the average of the simulated rolls is likely to be close to the mean of 1,2,....

4 years ago

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Find the Oldest Person in a Room

Given two input vectors: * |name| - user last names * |age| - corresponding age of the person Return the name of the ol...

4 years ago

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Convert from Fahrenheit to Celsius

Given an input vector |F| containing temperature values in Fahrenheit, return an output vector |C| that contains the values in C...

4 years ago

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Calculate Amount of Cake Frosting

Given two input variables |r| and |h|, which stand for the radius and height of a cake, calculate the surface area of the cake y...

4 years ago

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Dimensions of a rectangle

The longer side of a rectangle is three times the length of the shorter side. If the length of the diagonal is x, find the width...

4 years ago

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Area of an Isoceles Triangle

An isosceles triangle has equal sides of length x and a base of length y. Find the area, A, of the triangle. <<https://imgur...

4 years ago

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Is this triangle right-angled?

Given three positive numbers a, b, c, where c is the largest number, return *true* if the triangle with sides a, b and c is righ...

4 years ago

Solved

Find a Pythagorean triple

Given four different positive numbers, a, b, c and d, provided in increasing order: a < b < c < d, find if any three of them com...

4 years ago

Solved

Is this triangle right-angled?

Given any three positive numbers a, b, c, return true if the triangle with sides a, b and c is right-angled. Otherwise, return f...

4 years ago

Solved

Triangle sequence

A sequence of triangles is constructed in the following way: 1) the first triangle is Pythagoras' 3-4-5 triangle 2) the s...

4 years ago

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Area of an equilateral triangle

Calculate the area of an equilateral triangle of side x. <<https://i.imgur.com/jlZDHhq.png>> Image courtesy of <http://up...

4 years ago

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Side of an equilateral triangle

If an equilateral triangle has area A, then what is the length of each of its sides, x? <<https://i.imgur.com/jlZDHhq.png>> ...

4 years ago

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Find the maximum number of decimal places in a set of numbers

Given a vector or matrix of values, calculate the maximum number of decimal places within the input. Trailing zeros do not coun...

4 years ago

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Make roundn function

Make roundn function using round. x=0.55555 y=function(x,1) y=1 y=function(x,2) y=0.6 y=function(x,3) ...

4 years ago

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Rounding off numbers to n decimals

Inspired by a mistake in one of the problems I created, I created this problem where you have to round off a floating point numb...

4 years ago

Solved

Matlab Basics - Rounding III

Write a script to round a large number to the nearest 10,000 e.g. x = 12,358,466,243 --> y = 12,358,470,000

4 years ago

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Matlab Basics - Rounding II

Write a script to round a variable x to 3 decimal places: e.g. x = 2.3456 --> y = 2.346

4 years ago

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Check that number is whole number

Check that number is whole number Say x=15, then answer is 1. x=15.2 , then answer is 0. <http://en.wikipedia.org/wiki/Whole...

4 years ago

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MATLAB Basic: rounding IV

Do rounding towards plus infinity. Example: -8.8, answer -8 +8.1 answer 9 +8.50 answer 9

4 years ago

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MATLAB Basic: rounding III

Do rounding towards minus infinity. Example: -8.8, answer -9 +8.1 answer 8 +8.50 answer 8

4 years ago

Solved

MATLAB Basic: rounding II

Do rounding nearest integer. Example: -8.8, answer -9 +8.1 answer 8 +8.50 answer 9

4 years ago