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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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Evened up (or not)

You will be provided with an array or matrix that contains various numbers, in addition to an evening variable, e, set to 1 or 0...

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De-primed

Write a function that will multiply every prime number in the array or matrix by two, leaving all other numbers the same, and re...

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Big numbers, repeated least significant digits

This problem builds off of <http://www.mathworks.com/matlabcentral/cody/problems/3077-big-numbers-least-significant-digits/ Prob...

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Big numbers, least significant digits

Given two numbers, x and n, return the last d digits of the number that is calculated by x^n. In all cases, d will be the number...

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Digital Neighbourhood

Given a natural number reorder its digits to create another number, closest to the given one. Examples: * 123 gives 132, ...

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Binary Neighbourhood

Given a natural number reorder its binary form to create another number, closest to the given one. Examples: * 1 gives 2, ...

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Convert to Binary Coded Decimal

Convert from decimal representation to <http://en.wikipedia.org/wiki/Binary-coded_decimal Binary Code Decimal> (or BCD) represen...

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Find out the Gray Code for a Given Binary Number

Find out <http://en.wikipedia.org/wiki/Gray_code Gray Code> for a given binary number Example Binary input 1000 Gray ...

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Consecutive Equation Times (of the day)

Many times throughout the day can represent mathematical equations. In this problem, we focus on the largest consecutive run of ...

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Equation Times (of the day)

Many times throughout the day can represent mathematical equations. In this problem, we focus on times that include the four bas...

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Power Times (of the day)

Many times throughout the day can represent mathematical equations. In this problem, we focus on times that represent powers. Fo...

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Bit calculation

Give me the count of numbers from 1 to n having their last two bits as 0. For example function y = ret_count(4) y = x...

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Numbers spiral diagonals (Part 1)

Inspired by Project Euler n°28 et 58. A n x n spiral matrix is obtained by starting with the number 1 and moving to the right...

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Damping of Servomotors with Tachometer Feedback

In Control Engineering, servomotors with tachometer feedback can be modeled by the second order system K / [J*s^2 + (B + K*K...

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Find an optimal placement of coolers on a grid

In a certain chemical plant, 6 new pieces of cooling equipment (coolers) are to be installed in a vacant space. This vacant spac...

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Find an overlap in the cleaning schedule of two tank reactors

In a certain pharmaceutical production company, there are two tank reactors operating simultaneously and independent of each oth...

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Characterize fluid flow in a pipe as to laminar or turbulent

In fluid mechanics, characterizing the flow in a pipe is essential to predicting its behavior. The flow pattern can either be la...

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Assess the scatter of wind turbines in a field

The renewable energy industry is on the rise in many countries--- and one of the key players is wind energy. It is believed ...

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Compute the missing quantity among P, V, T for an ideal gas

Consider 100 mol of helium gas at a certain pressure (P), volume (V), and temperature (T). Assuming that the ideal gas law appli...

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Design a tubesheet for shell-and-tube heat exchangers

<<https://3.bp.blogspot.com/-kLSbhcCoT2I/WJIh-QVGLGI/AAAAAAAADEs/svvMzBqn4fUfI1rTCCH7Uw-QuDvxx0PxACLcB/s1600/Screenshot_669.jpg>...

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Create a matrix map of increasing safety levels

The sole nuclear power plant at Grid City suddenly had a meltdown. Luckily, the plant was designed to be in full automation, so ...

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Count the number of folds needed to pack a large sheet

In a certain paper factory, large sheets of paper are being made every day. Before sending the sheets for shipment, they have to...

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Easy Sequences 1: Find the index of an element

The nth element of a series is defined by: . Obviously, the first element . Given the nth element , find the value of the corre...

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Calculate the sphericity of a Raschig ring

Sphericity is a measure of the roundness of any particle. It was defined by Wadell in 1935 as the ratio of the 'surface area of ...

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Convert a temperature reading from Celsius to an unknown scale

Two of the most famous temperature scales are the Celsius and the Fahrenheit scale. In reality, however, there are so many other...

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Recurring Cycle Length (Inspired by Project Euler Problem 26)

Preface: This problem is inspired by <http://projecteuler.net/problem=26 Project Euler Problem 26> and uses text from that quest...

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weekday and month

Given a year and a weekday, determine how many months of that year had five of those weekdays. It is kind of easy to find. Exam...

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Pi Estimate 1

Estimate Pi as described in the following link: <http://www.people.virginia.edu/~teh1m/cody/Pi_estimation1.pdf>

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Combinations without using nchoosek

You have to generate a matrix with all possible combinations of n elements *taken 2* at a time, *without using nchoosek(1:n,2)* ...

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