Is the Point in a Triangle?
Check whether a point or multiple points is/are in a triangle with three corners
Points = [x, y];
Triangle = [x1, y1; x...
11ヶ月 前
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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...
Velocity Conversion
Given a velocity in mph, convert it to km/h. Round the answer to the fourth decimal place.
11ヶ月 前
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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 :...
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...
11ヶ月 前
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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...
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...
11ヶ月 前
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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...
11ヶ月 前
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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:
...
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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...
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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...
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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...
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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...
11ヶ月 前
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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...
11ヶ月 前
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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...
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...
11ヶ月 前
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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...
11ヶ月 前
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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>>
...