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Hace 4 días · Dividing \( f(x)\) by \( x-c\), we obtain \[ f(x)=(x-c)q(x)+r(x),\] where \( r(x)\) is the remainder. Since \( x-c\) has degree 1, it follows that the remainder \( r(x)\) has degree 0, and thus is a constant.
Hace 5 días · f[x] =3*x+1, then f[3] and f[a+b] will not be evaluated, but g[x] will be evaluated because x is set as the only variable that this function will accept. Function evaluation in Mathematica is indicated by square brackets. That is, while in mathematical notation, we write \( f(x), \) in Mathematica the correct syntax is f[x
Hace 4 días · Definitions Probability density function. The probability density function (pdf) of an exponential distribution is (;) = {, <Here λ > 0 is the parameter of the distribution, often called the rate parameter.The distribution is supported on the interval [0, ∞).If a random variable X has this distribution, we write X ~ Exp(λ).. The exponential distribution exhibits infinite divisibility.
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Hace 4 días · calculus - Prove that f (x) is convex - Mathematics Stack Exchange. Prove that f (x) is convex. Ask Question. Asked today. Modified today. Viewed 33 times. -4. I have to prove that f(x) =xTQx f ( x) = x T Q x is convex using the following inequality f(λx + (1 − λ)y) ≤ λf(x) + (1 − λ)f(y) f ( λ x + ( 1 − λ) y) ≤ λ f ( x) + ( 1 − λ) f ( y) calculus.
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Hace 4 días · Let \(X\) be the discrete random variable that represents the number of events observed over a given time period. Let \(\lambda\) be the expected value (average) of \(X\). If \(X\) follows a Poisson distribution, then the probability of observing \(k\) events over the time period is \[P(X=k) = \frac{\lambda^ke^{-\lambda}}{k!},\]
