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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...
6 meses hace
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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....
6 meses hace
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Simpson's Paradox - Calculate correlation coefficients for groups of data
Simpson's Paradox is a statistical phenomenon where groups of data can have a characteristic while the whole data set together h...
6 meses hace
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Determine if x is a combination of m and n
Given positive integers x, m, and n, determine if x can be written as x = am + bn for any (non-negative) integers a and b. Your ...
6 meses hace
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Plot Line Specifications
Create a line plot for function cos(x) where x is a vector of linearly spaced values going from 0 to input N with an increment o...
6 meses hace
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Determine the number of odd integers in a vector
Determine the number of unique odd integers in a vector. Examples: Input x = [2 5 8 3 7 1]; Output y = 4; Inp...
6 meses hace
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Insert zeros into vector
Insert zeros after each elements in the vector. Number of zeros is specified as the input parameter. For example: x = [1 ...
6 meses hace
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Create an n-by-n null matrix and fill with ones certain positions
The positions will be indicated by a z-by-2 matrix. Each row in this z-by-2 matrix will have the row and column in which a 1 has...
6 meses hace
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Change the sign of even index entries of the reversed vector
change the signs of the even index entries of the reversed vector example 1 vec = [4 -1 -2 9] ans = [9 2 -1 -4] example2...
6 meses hace
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Create a vector whose elements depend on the previous element
The idea is to create a vector A whose elements depend on the previous element : *A(i+1) = 2*A(i)+1* *2 Inputs*: - A : The...
6 meses hace
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We love vectorized solutions. Problem 1 : remove the row average.
Given a 2-d matrix, remove the row average from each row. Your solution MUST be vectorized. The solution will be tested for ac...
7 meses hace
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How many Fibonacci numbers?
Find the number of unique Fibonacci numbers (don't count repeats) in a vector of positive integers. Example: x = [1 2 3 4...
alrededor de 1 año hace
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Fibonacci Decomposition
Every positive integer has a unique decomposition into nonconsecutive Fibonacci numbers f1+f2+ ... Given a positive integer n, r...
alrededor de 1 año hace
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Characterize fluid flow in a pipe as to laminar or turbulent
In fluid mechanics, characterizing the flow in a pipe is essential to predicting its behavior. The flow pattern can either be la...
alrededor de 1 año hace
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Count the number of folds needed to pack a large sheet
In a certain paper factory, large sheets of paper are being made every day. Before sending the sheets for shipment, they have to...
alrededor de 1 año hace
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Number of paths on a grid
Consider a grid formed by n vertices vertically down, and m vertices horizontally right. Your starting point is at the top lef...
alrededor de 1 año hace
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Path of least resistance
Find the length of the shortest path through the matrix from the top left to bottom right corner. You may move right, down, or d...
alrededor de 1 año hace
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Under the sea: Snell's law & total internal reflection
<https://en.wikipedia.org/wiki/Snell's_law> When a light travels from one medium to another medium, depending on the refracti...
más de 1 año hace
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Reindex a vector
You are given two vectors of equal length. Vector N has numeric values (no Inf or NaN) while vector IDX has integers. Place th...
más de 1 año hace
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Wind Chill Computation
On a windy day, a temperature of 15 degrees may feel colder, perhaps 7 degrees. The formula below calculates the "wind chill," i...
más de 1 año hace
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Alternative Dimensions
Given a multidimensional matrix, transform the matrix so the dimensions are in the order given by variable ord. For example, giv...
más de 1 año hace
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Weighted Convolution
Given two input vectors x = [x_1, x_2, ..., x_K] and y = [y_1, y_2, ..., y_K] of equal length, compute the weighted convolution ...
más de 1 año hace
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Convert decimal to binary and then generate the minimum binary it can with jumbling
input is 10 --> 1010 output should be 3 --> 0011 input 23 --> 10111 output should be 15 --> 01111
más de 1 año hace
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Test if two numbers have the same digits
Given two integers _x1_ and _x2_, return |true| if the numbers written with no leading zeros contain the same digits. That is, t...
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Binary Inversion
Given the unsigned 8-bit integer x, return the number y which is the binary inversion of x. For example if x is 5, y should b...
más de 1 año hace
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Return fibonacci sequence do not use loop and condition
Calculate the nth Fibonacci number. Given n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ... Examples: ...
más de 1 año hace
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Compute the drag on a moving vehicle
We assume no rolling resistance, and the simple rule for Drag : , where is the density of the fluid (assumed at 1.2 ), is the ...
más de 1 año hace
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Calculating Student Grades
The matrix grades contains raw grades for 7 students who took your course. Each row represents a different student. The first 7 ...
más de 1 año hace