Triangle sequence
A sequence of triangles is constructed in the following way:
1) the first triangle is Pythagoras' 3-4-5 triangle
2) the s...
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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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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 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 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 VI
What is the sum of the following sequence:
Σk⋅k! for k=1...n
for different n?
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Special Relativity 101.
Special relativity states that the effective mass of an object varies as a function of its velocity. If *c* is the speed of ligh...
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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 I
What is the sum of the following sequence:
Σ(2k-1) for k=1...n
for different n?
Check if number exists in vector
Return 1 if number _a_ exists in vector _b_ otherwise return 0.
a = 3;
b = [1,2,4];
Returns 0.
a = 3;
b = [1,...
3 years 前
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Solve a System of Linear Equations
Example:
If a system of linear equations in x₁ and x₂ is:
2x₁ + x₂ = 2
x₁ - 4 x₂ = 3
Then the coefficient matrix (A) is:
2 ...