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Compound Interest : Compounding Periods

Theorem : Compound Interest where, F : Future value at the end of n periods P : Present value r : Annual nominal rate n :...

5 months ago

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Simple Interest : Calculate annual simple interest rate

Theorem : Simple Interest where; F : Future Value P : Present Value r : Annual simple interest rate (decimal) t : Time in...

5 months ago

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Estimating Euler's (Oi-ler-z) Number

Euler's number is an irrational constant given by Starting with x=0, count the number of times you can add a uniformly distrib...

5 months ago

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Next Tribonacci Number

The "Tribonacci" sequence is an extension of the idea of the Fibonacci sequence: That is, each new term is the sum of the thr...

5 months ago

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Hydrostatic Pressure

Given depth(height), in m, find the pressure under a body of water. Need to know the density of water(kg/m^3), and gravity(m/s^2...

5 months ago

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Generate Tribonacci Sequence

The "Tribonacci" sequence is an extension of the idea of the Fibonacci sequence: That is, each new term is the sum of the thr...

5 months ago

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Generate Pascal's Triangle Matrix

Pascal's triangle is an arrangement of numbers where each value is the sum of the values adjacent to it in the previous row: ...

5 months ago

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Interpolated Value Between Two Points

Given two points, and , a new location x, and a method "linear" or "cubic", return the value of a linear or cubic interpolant t...

5 months ago

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A Binary Search

One way to locate a target value in a sorted array, is to use a binary search algorithm. Here, you test if the midpoint in the a...

5 months ago

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Where the Four Corners Am I? (Vectorized)

NOTE: this problem is intended to build on problem #55960 ("Where the Four Corners Am I?"). You may wish to solve that problem f...

5 months ago

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Where the Four Corners Am I?

The "Four Corners" region of the US is where Colorado, Utah, Arizona, and New Mexico all meet - the only place where four states...

5 months ago

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Taylor Series

You can use a Taylor series to approximate common functions. The Taylor series for sin(x) is Using only the first several te...

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Calculate Angle From Axis

Given coordinates x and y, an axis ("X" or "Y"), and a direction ("cw" or "ccw", meaning clockwise and counterclockwise, respect...

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Length of the hypotenuse

Given short sides of lengths a and b, calculate the length c of the hypotenuse of the right-angled triangle. <<https://i.imgu...

5 months 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...

5 months 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>> ...

5 months ago

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Side of a rhombus

If a rhombus has diagonals of length x and x+1, then what is the length of its side, y? <<https://imgur.com/x6hT6mm.png>> ...

5 months 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...

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Length of a short side

Calculate the length of the short side, a, of a right-angled triangle with hypotenuse of length c, and other short side of lengt...

5 months ago

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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.

5 months ago

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Convert Volume Mixing Ratio to Density

The partial pressure of a constituent gas species of the atmosphere can be expressed in parts per million by volume. For exampl...

5 months ago