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Create a 3D rotation matrix from roll-pitch-yaw angles
Consider a robotics application where the world reference coordinate frame {W} and a robot manipulator arm with an attached tool...
8 hours ago
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Orientation of a 3D coordinate frame
The orientation of a body-fixed frame {B} with respect to the world frame {W} is described by an SO(3) rotation matrix. Compute...
8 hours ago
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Determine roll pitch yaw angles from a 3D rotation matrix
Consider an aerospace application where the world reference coordinate frame {W} and a body-fixed coordinate frame {B}. The ori...
8 hours ago
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Homogeneous lines and points in 2D: problem 1
In high school we learn the line equation y = mx + c where m is the gradient and c is the intercept. However this form is proble...
8 hours ago
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Upstairs!
The stair has n steps. Every times you can up one or two steps. Give all the different solutions to upstairs. For example n ...
8 hours ago
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Successive zeros (harder)
The problem is from Problem 45436, <https://www.mathworks.com/matlabcentral/cody/problems/45436-successive-zeros> Suppose n i...
8 hours ago
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Solve Sudoku puzzle step by
Sudoku is a famous puzzle. <https://en.wikipedia.org/wiki/Sudoku> Give a standard sudoku by a matrix (9*9), You need give a ...
9 hours ago
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Big Integer Sqrt
You will be given a big integer, you should return the square root of it. input: '16' output: '4' have fun!
9 hours ago
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Project Euler: Problem 14 Longest Collatz sequence(harder version)
This problem is a harder version of "Problem 44448. Project Euler: Problem 14 Longest Collatz sequence", because of time limits....
1 day ago
Solved
Compute the intersect point of line and plan
Compute the intersect point of line and plan. eg. line AB, the coordinate of A is (1,2,3) the coordinate of B is (-4,-5,-6...
1 day ago
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Return fibonacci sequence do not use loop and condition version 3
Calculate the nth Fibonacci number,return sequence Given n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ... ...
1 day ago
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Backgammon #5 - Valid Move?
A previous problem in this occasional series (Problem 45967) set up a possible representation of a backgammon board: White ston...
1 day ago
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Backgammon #3 - Display a Board Position
A previous problem in this occasional series (Problem 45967) set up a possible representation of a backgammon board: White ston...
1 day ago
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Check Bidirectional Requirement Traceability
Bidirectional traceability ensures that a relationship recorded from a requirement to an architecture element is also reflected ...
1 day ago
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Calculate Architecture Option Score
System architects often compare multiple architecture candidates against several evaluation criteria. Given a matrix containing...
1 day ago
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Evaluate Requirement Test Results
During system verification, measured values are compared against requirement limits. Given a set of measured results and corres...
1 day ago
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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...
1 day ago
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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 ...
1 day ago
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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...
1 day ago
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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...
1 day ago
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Calculate Requirement Traceability Coverage
Traceability helps ensure that system requirements are connected to downstream engineering artifacts such as architecture elemen...
1 day ago
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Find Unallocated Requirements
During system development, requirements are allocated to system elements such as sensors, controllers, actuators, or software co...
1 day ago
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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...
1 day ago
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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...
1 day ago
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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...
2 days ago
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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 ...
2 days ago
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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...
2 days ago
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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...
2 days ago
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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 ...
3 days ago
