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Calculate Verification Coverage
Before a system can be verified, each applicable requirement should have an associated verification activity. Given the total n...

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Calculate Availability of a Redundant Pair
Redundancy can improve system availability by allowing the system to continue operating when one of two independent components f...

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Calculate Series System Availability
Consider a system in which every component must operate successfully for the complete system to function. Given the individual ...

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Count System Architecture Interfaces
An architecture can be represented using a connectivity matrix. Each row and column represents a system element, while a value o...

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Count Active Architecture Elements
A system architecture may contain several elements, but not all elements are active in a particular configuration. Given a logi...

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Calculate Requirement Traceability Coverage
Traceability helps ensure that system requirements are connected to downstream engineering artifacts such as architecture elemen...

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Find Unallocated Requirements
During system development, requirements are allocated to system elements such as sensors, controllers, actuators, or software co...

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Calculate Requirement Margin
Engineering requirements often specify a limit, while the actual system performance may be better or worse than that limit. Giv...

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Check Requirement Compliance
A system requirement specifies a maximum allowable value for a system parameter.Given a set of measured values and the correspon...

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Backgammon #2 - Your turn!
A previous problem in this occasional series (Problem 45967) set up a possible representation of a backgammon board: White ston...

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Backgammon #1 - Pip Count
The following is a possible representation of a backgammon board: White stones are represented by positive integers Red stones ...

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Newton Interpolation
Given a set of measurements of dependent variables in a vector, Y, that vary with one independent variable in a vector, X, calcu...

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Augmented Lagrange Multiplier (ALM) Method
Write a function to find the values of a design variable vector, _x_, that minimizes a scalar objective function, _f_ ( _x_ ), g...

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Spin Matrices
The spin of a particle is a fundamental property in quantum physics. We shall inspect below matrix representations of such spin ...

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Hungry Snake
Who hasn't played <http://en.wikipedia.org/wiki/Snake_%28video_game%29 the Snake game> when they were little? It's quite hard ...

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Calculate integrals using numerical methods 3.
Now let's compare the 2 previous rules. Using the "Simpson 1/3" rule and the trapezoidal rule, NOT THE SIMPLE ONES, calculate th...

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Calculate integrals using numerical methods 2.
Calculate the following integral(I) using the SIMPLE(thus n =1) trapezoidal rule: The llimits(a,b) of the integral will be gi...

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Calculate integrals using numerical methods 1.
Calculate the following intergral using the SIMPLE "Simpson 1/3" rule: Further explanation: a is the upper limit of the inte...

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Nash Equilibrium
In game theory, a player's *strategy* is any of the options that can be chosen in a setting where the pay-off depends not only o...

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Let's Make A Deal: Criminal Minds
The game of Let's Make A Deal proceeds as follows; The player is given the choice of three doors: Behind one door is a car; b...

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Let's Make A Deal: The Player's Dilemma 2
Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. Y...

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Let's Make A Deal: The Player's Dilemma
Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. Y...

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God of War: The Chains Of Olympus
The Spartan warrior, Kratos, is held by a chain of _n > 1_ links in the underworld. His only chance of survival is to break the ...

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The Generalized-N Eggs Problem
A firm has invented a super-strong egg. For publicity purposes, it wants to determine the highest floor in a story building with...

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Response of First Order Control Systems
In practice, the input signal to an automatic control system is not known ahead of time but usually random in nature. Thus, in t...

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Nodal Voltage of Resistor Ladder Network
* You have a bunch (an even number N) of identical resistors (each R ohms), a good battery (V volts) and a high impedance voltme...

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Implement Shor's algorithm
Shor's algorithm, proposed in 1994 by Peter Shor, is an algorithm for factoring numbers that runs in polynomial time (polynomial...

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Array size along k-th dimension
Given an n-dimensional array M, find the size of M along the k-th dimension (1 <= k <= n), without using size(), height() or wid...

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Solve the matrix equation AXB + X + C = 0 for X
Let A, B, and C be square matrices of equal size, and let the matrix X be defined by the matrix equation A * X * B + X + ...

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Optimal saving in Solow's classical growth model
Let us consider a simplified version of Solow's classical growth model. Let , , , and denote production, the capital stock, l...

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