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Resuelto
Is A the inverse of B?
Given a matrix A and a matrix B, is A the inverse of B? >>A=[2,4;3,5]; >>B=[-2.5,2;1.5,-1]; >>isInverse...
21 días hace
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Rotate Matrix @180 degree
Rotate Matrix @180 degree Example A=[8 1 6; 3 5 7; 4 9 2], then answer would be [2 9 4;...
21 días hace
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Square root
Given x (a matrix), give back another matrix, where all the elements are the square roots of x's elements.
21 días hace
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the average value of the elements
Calculate the average value of the elements in the array
21 días hace
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Rule of mixtures (composites) - lower and upper bounds
The <http://en.wikipedia.org/wiki/Rule_of_mixtures rule of mixtures> is used in the mechanical design of composite structures to...
21 días hace
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Rule of mixtures (composites) - upper bound
The <http://en.wikipedia.org/wiki/Rule_of_mixtures rule of mixtures> is used in the mechanical design of composite structures to...
21 días hace
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Rule of mixtures (composites) - lower bound
The <http://en.wikipedia.org/wiki/Rule_of_mixtures rule of mixtures> is used in the mechanical design of composite structures to...
21 días hace
Resuelto
Stress-Strain Properties - 6
The total energy absorbed by a material up to failure in a tensile test is termed the absorbed strain energy. With respect to th...
21 días hace
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Stress-Strain Properties - 5
Similar to the previous problem, materials may be characterized by their stiffness-to-weight ratio, which is the elastic modulus...
21 días hace
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Stress-Strain Properties - 4
A common measure of the ability of a material to carry load per unit mass is termed strength-to-weight ratio and is calculated b...
21 días hace
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Stress-Strain Properties - 3
A brittle material will not exhibit a yield point. In other words, the yield point and failure point coincide. In such cases, th...
21 días hace
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Stress-Strain Properties - 2
The resilience of a material is its ability to resist permanent (or plastic) deformation. The resilience coincides with the elas...
21 días hace
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Stress-Strain Properties - 1
This is the first in a series of problems regarding mechanics of materials, in particular, material properties drawn from stress...
21 días hace
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Temperature Conversion 3
Given a temperature in Celcius, convert it to Fahrenheit.
21 días hace
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Linear primes p' = mp + n
Problem statement List the prime numbers of the form p' = mp + n for a given (m,n) couple and such that p' < k, k positive in...
21 días hace
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List the complementary / symetric prime couples
Problem statement For a given positive integer n, provide the prime couples (p,p') such that p + p' = 10^n. NB : a number li...
21 días hace
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Check Legendre's conjecture
Context and problem statement Legendre's conjecture states for a given positive integer n, there always exists at least one pri...
21 días hace
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List the twin prime couples
Problem statement The twin prime couples (p,p') are the ones such that p' = p + 2. For a given integer n > 1, list the twin p...
21 días hace
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Check Bertrand-Chebyshev's theorem about prime numbers
Historical context Bertrand's postulate, also later known as Chebyshev's theorem, is a very important theorem in number theory ...
21 días hace
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Check p = 6n +/- 1, the generic formula for odd prime numbers greater than 3
Problem statement For all odd prime number p greater than 3, there exists a positive integer n, such that p = 6n +/- 1 : ...
21 días hace
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Check p = 4n +/- 1, the generic formula for odd prime numbers
Problem statement For all odd prime number p, there exists a positive integer n, such that p = 4n +/- 1 : Check this f...
21 días hace
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Chek the Delta = p' - p = 6k gap theorem about arithmetic progressions in the prime number set
Context In the prime numbers set there are some arithmetic progressions (sequences of three or more consecutive prime number...
21 días hace
Resuelto
List the near-square primes, p = n² + 1 (Landau's 4th problem)
Historical context At the 1912 International Congress of Mathematicians, Edmund Landau listed four basic problems about prime...
21 días hace
