Opti-Num Solutions provide data analytics and simulation based design solutions to a broad range of industries. We primarily use MATLAB and Simulink to deliver these solutions, which encompass deliverables from software tools, training and coaching, to building bespoke applications.

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Integer Sequence - II : New Fibonacci

Crack the following Integer Sequence. (Hints : It has been obtained from original Fibonacci Sequence and all the terms are also ...

2 months ago

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Sum of first n terms of a harmonic progression

Given inputs a, d and n, return the sum of the first n terms of the harmonic progression a, a/(1+d), a/(1+2d), a/(1+3d),....

2 months ago

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Sum the Infinite Series

Given that 0 < x and x < 2*pi where x is in radians, write a function [c,s] = infinite_series(x); that returns with the...

2 months ago

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Is X a Fibonacci Matrix?

In honor of Cleve's new blog and post: <http://blogs.mathworks.com/cleve/2012/06/03/fibonacci-matrices/> Is X a Fibonacci ...

2 months ago

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Alternating sum

Given vector x, calculate the alternating sum y = x(1) - x(2) + x(3) - x(4) + ...

2 months ago

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"Look and say" sequence

What's the next number in this sequence? * [0] * [1 0] * [1 1 1 0] * [3 1 1 0] * [1 3 2 1 1 0] This a variant on the w...

2 months ago

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Find the stride of the longest skip sequence

We define a _skip sequence_ as a regularly-spaced list of integers such as might be generated by MATLAB's <http://www.mathworks....

2 months ago

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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...

2 months ago

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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. ...

2 years ago

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Project Euler: Problem 6, Natural numbers, squares and sums.

The sum of the squares of the first ten natural numbers is, 1^2 + 2^2 + ... + 10^2 = 385 The square of the sum of the first ...

2 years ago

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How to find the position of an element in a vector without using the find function

Write a function posX=findPosition(x,y) where x is a vector and y is the number that you are searching for. Examples: fin...

2 years ago

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Make one big string out of two smaller strings

If you have two small strings, like 'a' and 'b', return them put together like 'ab'. 'a' and 'b' => 'ab' For extra ...

2 years ago

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Too mean-spirited

Find the mean of each consecutive pair of numbers in the input row vector. For example, x=[1 2 3] ----> y = [1.5 2.5] x=[1...

2 years ago

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Distance walked 1D

Suppose you go from position 7 to 10 to 6 to 4. Then you have walked 9 units of distance, since 7 to 10 is 3 units, 10 to 6 is 4...

2 years ago

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Roll the Dice!

*Description* Return two random integers between 1 and 6, inclusive, to simulate rolling 2 dice. *Example* [x1,x2] =...

2 years ago

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Swap the input arguments

Write a two-input, two-output function that swaps its two input arguments. For example: [q,r] = swap(5,10) returns q = ...

2 years ago

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Bottles of beer

Given an input number representing the number of bottles of beer on the wall, output how many are left if you take one down and ...

2 years ago

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radius of a spherical planet

You just measured its surface area, that is the input.

2 years ago

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Is my wife right? Now with even more wrong husband

Again, as in "Is my wife right?" ( <http://www.mathworks.com/matlabcentral/cody/problems/149-is-my-wife-right> ), answer 'yes' r...

2 years ago

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The sliding puzzle: 3D

This is an extension of <https://www.mathworks.com/matlabcentral/cody/problems/42842 problem 42842>. In this case, the puzzle is...

2 years ago

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Five-dimensional maze

*Description* The traditional maze is 2-dimensional: the navigator can move in the positive or negative directions along two ...

2 years ago

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Ned's Queens

A tribute to Cody's five-year anniversary should also celebrate the people behind Cody, and in this particular case, our illustr...

2 years ago

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Recaman Sequence - III

I want to create a Recaman sequence where there is a "1" in the n-th position. So from which integer should I start the Recaman ...

2 years ago

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Digit concentration in Champernowne's constant

Consider the first 50 digits of Champernowne's constant 0.12345678910111213141516171819202122232425262728293... The...

2 years ago

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Pandigital Multiples of 11 (based on Project Euler 491)

A "Pandigital number of order X" is one that contains all of the numbers from 0 to X, but with no leading zeroes. If X>9, the cy...

2 years ago

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Pair Primes

Let's define pair primes as follow; * *For 2 digits numbers:* 11 and 17 are pair primes because both of them are 2 digits pri...

2 years ago

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Birthday cake

It's Cody's 5th birthday, and you've been tasked with putting the candles on the cake. Your goal is to maximize the distance bet...

2 years ago