Determine nonnegative integer
It turns out that every nonnegative integer can be written as a sum of four perfect squares. In contrast, show that if n is congruent to 7 (mod 8), then n cannot be written as a sum of three perfect squares. Show your proof.
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Write a function named oddity which will recieve an array of numbers. The function will then return an array of the odd numbers from the input array.
There exists the example of three distinct positive integers dififferent from a, 2a, 3a for some a belongs to N having the property that each divides the sum of other two.
Using the fact that dy/dx = (dy/dt) / (dx/dt), rewrite competitive species system as a first order equation in x and y. Solve this equation. Note that this tells you how x and y are related, but doesn't tell you how they evolve with respect to t.
Using the Chinese remainder theorem, how many (incongruent) solutions does x^2 = -1
Select all of the expressions for an that define a sequence on the positive integers whose first three terms are 4,5,7.
Consider applying newton,s method to find the root alpha = 0 of the equation sin(x)=0 . Find the maximal interval(-r,r) for which the Newton method iterates will converge to alpha for any choice of x0 in (-r,r).
Write down a matlab function named oddit that will recieve an array of numbers. The function will then return an aray of the odd numbers from the input array.
A ship is streaming northward at the rate 10 km hr ^-1.The surface pressure raises toward the northwest at the rate of 5 pa km^-1. Determine the pressure tendency recorded at a nearby island station if the pressure aboard the ship decreases at a
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