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Numerical Integration

Input * |x0|, a real number greater than 0 Output * |I|, a numerical estimate of the integral x0 / I...

3 days ago

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Composite Trapezoidal Rule for Numeric Integration

Use the trapezoidal rule to numerically integrate a function, _f(x)_, passed as the first argument, between upper and lower limi...

3 days ago

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Monte-Carlo integration

Write a function that estimates a d-dimensional integral to at least 1% relative precision. Inputs: * d: positive integer....

3 days ago

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Steepest Descent Method

Write a function to find the values of a design variable vector, _x_, that minimizes an unconstrained scalar objective function,...

3 days ago

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Differential equations I

Given a function handle |f| an initial condition |y0| and a final time |tf|, solve numerically the differential equation dy...

3 days ago

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Outer product of multiple vectors

In tensor algebra, it is often useful to define a tensor as a product of lower order tensors. Similarly, a multidimensional arra...

4 days ago

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Combined Ages 3 - Non-symmetric, n ≥ 3

Pursuant to the previous two problems ( <http://www.mathworks.com/matlabcentral/cody/problems/42382-combined-ages-1-symmetric-n-...

4 days ago

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Combined Ages 4 - Non-symmetric with multiples, n ≥ 3

This problem is slightly more difficult than <http://www.mathworks.com/matlabcentral/cody/problems/42383-combined-ages-3-non-sym...

4 days ago

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Projector Matrix

Write a function to determine whether or not the matrix is a projector. Projector matrices are defined as P^2 = P.

4 days ago

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Orthonormal matrix

You decide whether any given matrix is an orthonormal matrix or not. If each column in a matrix is perpendicular to the other...

4 days ago

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Is this matrix orthogonal?

Given a square matrix, a, determine whether it is orthogonal. INPUT: a, a n x n matrix OUTPUT: true or false

4 days ago

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Determine if input is a valid AHP evaluation matrix

Input is a matrix. Output is a true or false statement (1 or 0). Return true if input is a valid Analytic Hierarchy Process eval...

5 days ago

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Combined Ages 1 - Symmetric, n = 3

You have probably seen the common riddle wherein combined ages are provided and you must determine the individual ages. For exam...

5 days ago

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Combined Ages 2 - Symmetric, n ≥ 3

Following on <http://www.mathworks.com/matlabcentral/cody/problems/42382-combined-ages-1-symmetric-n-3 Combined Ages 2>, you wil...

5 days ago

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Column norms of a matrix

Given a matrix M, return a vector y such that for each k y(k)=norm(M(:,k)) (y(k) is the Euclidean norm of the k-th col...

5 days ago

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linear least squares fitting

Inputs: * |f|: cell-array of function handles * |x|: column vector of |x| values * |y|: column vector of |y| values, same l...

5 days ago

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System of equations

Find a solution to a system of equations represented by a |n| by |n+1| matrix. For instance, [ 2 0 4; => 2*x = 4 ...

5 days ago

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Solve the set of simultaneous linear equations

Given this pair of simultaneous linear equations: 2x + 3y = 23 3x + 4y = 32 Find the solution set (x,y)

5 days ago

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Evaluate the incomplete elliptic integrals

Elliptic integrals can be used to evaluate integrals whose integrands have the form R(x,sqrt(P(x))), where R(x,y) is a rational ...

5 days ago

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Evaluate the zeta function for real arguments > 1

The <https://en.wikipedia.org/wiki/Riemann_zeta_function Riemann zeta function> is important in number theory. In particular, th...

5 days ago

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Evaluate the zeta function for complex arguments

<https://www.mathworks.com/matlabcentral/cody/problems/45988 Cody Problem 45988> involved computing the Riemann zeta function fo...

5 days ago

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Construct the Seidel-Entringer-Arnold triangle

Several problems in Cody ask us to construct part or all of triangles in which entries follow a pattern. Cody Problems <https://...

5 days ago

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Evaluate the Struve function

The <https://en.wikipedia.org/wiki/Struve_function Struve function> *H*_a(x) is a solution to an inhomogeneous form of Bessel's ...

6 days ago

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Compute the perimeter of an ellipse

While the area of an ellipse is straightforward to compute, the perimeter (or circumference) is more complicated. The perimeter ...

6 days ago