# All Questions

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### How to realize the simplest agreement protocol

Consider the simplest case: 1 o-----o 2 with x1 = 1 and x2 = 11 The agreement protocol is: I think we can realize it by the discrete case: In this ...
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### Is there any general selection criteria for using a probability distribution?

I have learned that Poisson distribution is used often for queues, while exponential are used for the time between events of a queues. I know for small sample sizes to use the student distribution, ...
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### How I can refine the proof of $\mathop {\lim }\limits_{(x,y)\, \to \,(3, - 1)} \left( {{x^2} + {y^2} - 4x + 2y} \right) = - \,4$

To prove that $\mathop {\lim }\limits_{(x,y)\, \to \,(3, - 1)} \left( {{x^2} + {y^2} - 4x + 2y} \right) = - \,4$ ; I followed the following process: Because the hypothesis and the definition of ...
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### How to calculate $\exp\left(t\begin{bmatrix}0 & z\\z^* & 0\end{bmatrix}\right)$?

or, in a more general case: $e^{\begin{bmatrix}0 & v\\w & 0\end{bmatrix}}$, where: $v, w \in \mathbb{C}$
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### Graph Theory - Proof

I am need help to Prove the following statement: Let G be a $k$-regular graph with $n$ vertices and $k \geq 1$. Prove that $G$ does not have an independent set of size greater than $\dfrac{n}{2}$. ...
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### How do we calculate the Right and Left Hand Limit of 1/x?

I am confused regarding one sided limits and how to calculate it. For Example: $$\lim_{x\to 0}\frac{1}{x}\quad\text{does not exist}$$ How can I validate that $\lim\limits_{x\to 0^+}\frac{1}{x}$ or ...
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### .mat files and functions that do not return values [on hold]

i have a .mat file as shown.the same data is used in different .mat files.but how it is generating variable val with diiferent sizes and different info? function importfile2(fileToRead1) ...
Let's say we define $$D_{+}f(x):=\lim_{h\to 0^+}\frac{f(x+2h)-f(x+h)}{h}$$ to be the "right-handed" derivative. This way the function does not have to exist (or equal what it 'should') at the point ...