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Compute head profiles for steady 1D flow through soils in series
Cody Problem 58966 involves compute the head profile for steady, one-dimensional flow in a homogeneous aquifer (i.e., one with u...

3 months ago

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Compute the largest number with a given integer complexity
Cody Problems 42831 and 42834 ask us to compute integer complexity, the smallest number of 1s needed to construct a number with ...

3 months ago

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Compute the effective conductivity of a heterogeneous aquifer
Slow flow through soil or another porous medium follows Darcy’s law, which relates the flow of water to the gradient in piezome...

3 months ago

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Compute the unitary totient of a number
The totient function , the subject of Cody Problems 656 and 50182, gives the number of integers smaller than that are relativel...

3 months ago

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Compute the head for steady 1D flow in a homogeneous aquifer
Problem statement Write a function that computes the head (i.e., piezometric head for a confined aquifer or water table elevat...

3 months ago

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Compute measurement uncertainty
Suppose a variable depends on independent variables , , . If the independent variables have uncertainty , , etc. and the uncer...

3 months ago

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Trap a knight
Consider a knight on an infinite chessboard labeled with numbers spiraling outward. A knight starting on the square labeled 1 ca...

3 months ago

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Measure the hydraulic conductivity with a falling-head permeameter
A falling-head permeameter is another device for measuring the hydraulic conductivity of a soil sample. In this problem the sam...

3 months ago

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Flip the parity of digits in a decimal expansion
The number 349 has the decimal expansion . If we change the even digits from positive to negative, then the number becomes 269 (...

3 months ago

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Generate the Figure-Figure sequence
After discussing Scott Kim’s FIGURE-FIGURE Figure (below) in Gödel, Escher, Bach, Douglas Hofstadter introduced an integer seque...

3 months ago

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N-th permutation.
Let write some permutations of positive integers. 1: 1 2 3 4 5 6 ... 2: 2 1 3 4 ... 3: 1 3 2 4 ... ...

3 months ago

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Put m balls into n boxes (again)
According to Cody Problem 1516, if I put 3 balls into 2 boxes then 1 1 1 1 1 2 1 2 2 ...

3 months ago

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Scrabble Scores - 9
After developing a sophisticated Scrabble scoring routine, it's time to write an optimization routine for single-word scoring. T...

3 months ago

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Measure the hydraulic conductivity with a constant-head permeameter
A constant-head permeameter is a device for measuring the hydraulic conductivity of a soil sample. In this problem the sample i...

3 months ago

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Put m balls into n boxes
Can you find all the cases where, if I put 3 balls into 2 boxes the case is 1 1 1 1 1 2 1 ...

3 months ago

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Determine whether the input is an anagram number
In Cody Problem 44293, Mehmet OZC asks us to spell numbers as words. For example, 67 would be “sixty-seven” and 76 would be “sev...

3 months ago

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Nuemann Polynomials
Return the coefficients of nth (n>=0) Nuemann polynomial, (a sequence in 1/t) as polynomials in alpha. The expected output is a...

3 months ago

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Repopulate the City
For any population p of positive integers between pmin and pmax, we can calculate histogram count n for a list of evenly dividin...

3 months ago

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Rule of mixtures (composites) - either bound
The <http://en.wikipedia.org/wiki/Rule_of_mixtures rule of mixtures> is used in the mechanical design of composite structures to...

3 months ago

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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...

3 months ago

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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...

3 months ago

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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...

3 months ago

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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...

3 months ago

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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...

3 months ago

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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...

3 months ago

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Boolean algebra
Your contractor from Elbonia has sent you the prototype of the new logical unit. It turns out that the only logical relation it ...

3 months ago

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Compute the Tetris sequence
In the Tetris sequence, which starts with a 1, the next term is the smallest positive integer not already in the sequence that h...

3 months ago

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Scrabble Scores - 13
This problem integrates components of <https://www.mathworks.com/matlabcentral/cody/problems/3084-scrabble-scores-11 Scrabble Sc...

3 months ago

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Compute the Lagarias Riemann Hypothesis sequence
Write a function that takes an input number and produces a sequence (i.e., all values up to and including the th value) compute...

3 months ago

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Scrabble Scores - 11
This problem builds on the previous problem, wherein you were provided a letter of an existing word on the board and from which ...

3 months ago