Dilip Sarwate

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I am a retired professor of electrical and computer engineering with a lifetime of experience teaching probability and statistics to undergraduates and error-correcting coding theory to graduate students.

	7,761 reputation	bio	website		visits	member for	1 year, 8 months
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331 Answers

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Proof that $x \Phi(x) + \Phi'(x) \geq 0$ $\forall x$, where $\Phi$ is the normal CDF

Why do engineers use the Z-transform and mathematicians use generating functions?

Research done by high-school students

How does $\cos\frac\theta2 = \pm\sqrt{\frac{(1 + \cos \theta)}{2}}$?

Summation equation for $2^{x-1}$

Finding the values of $n$ for which $\mathbb{F}_{5^{n}}$, the finite field with $5^{n}$ elements, contains a non-trivial $93$rd root of unity

How calculate the probability density function of $Z = X_1/X_2$

Proof of upper-tail inequality for standard normal distribution

Polynomial factorization over finite fields

Calculate $\mathbb{E}[F(Y)]$

I have 2 tosses of a die, $X$ is the $\min$ and $Y$ is the $\max$

an exercise book for probability theory recommendation request

Mutually exclusive events

Cauchy and $\chi^{2}$ dist

Proof existence of field extension of $\mathbb{F}_p$ containing the $r$-th primitive root of unity

Is correcting 2 consecutive error's in 9 messages from $ GF(2^6) $ by turning tham into 3 messages and solving Reed-Solomon code $ (3, 18) $ possible?

Reed Solomon Polynomial Generator

What is Galois Field

Finding the support of the convolution of two functions

probability density function

Minimum of variance

Normal Random Variable

Conditioning on zero probability event

Independence of two variables

Roots of an irreducible polynomial in a finite field

What is the result of sum $\sum\limits_{i=0}^n 2^i$

uniformly distributed random variable

How to incorporate erasures (known error locations) in computation Reed-Solomon error locator?

Finding Null Space Basis over a Finite Field

How to calculate the expectation of $XY$?