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...
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Triangle sequence
A sequence of triangles is constructed in the following way:
1) the first triangle is Pythagoras' 3-4-5 triangle
2) the second...
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 Celsi...
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Calculate Parallel Resistance
Three resistors connected in parallel have resistances R1, R 2, and R 3, respectively. Return the total resistance R total of ...
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Resistance of a light bulb
The current through two identical light bulbs connected in series is C Amperes. The total voltage across both bulbs is V Volts....
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Electrical Diode Current Calculation
In engineering, there is not always a single equation that describes a phenomenon accurately enough to be applied in all instanc...
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An Ohm's Law Calculator
*BACKGROUND / MOTIVATION:*
Many important observations in math and science can be described by short, but powerful, equations...
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Force and Motion 3
Two robots push on a large object in the same direction. One robot pushes with a force of F1 Newtons and the other with a force...
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Force and Motion 2
Two robots are pulling on an object in opposite directions. One robot pulls with a force of F1 Newtons and the other with a forc...
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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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Sum of series I
What is the sum of the following sequence:
Σ(2k-1) for k=1...n
for different n?
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Sum of series II
What is the sum of the following sequence:
Σ(2k-1)^2 for k=1...n
for different n?
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Sum of series III
What is the sum of the following sequence:
Σ(2k-1)^3 for k=1...n
for different n?
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Sum of series IV
What is the sum of the following sequence:
Σ(-1)^(k+1) (2k-1)^2 for k=1...n
for different n?
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Sum of series V
What is the sum of the following sequence:
Σk(k+1) for k=1...n
for different n?
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Sum of series VI
What is the sum of the following sequence:
Σk⋅k! for k=1...n
for different n?
7ヶ月 前
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Sum of series
a(n) = n^2 - (n-1)^2
find the summation of the series upto n i.e.
a(1)+a(2)+...+a(n)