My question comes from exercise 3.21 in this monograph. Specifically, let $f$ be a real-valued function defined on the set of non-negative integers and de...

I am studying Bayesian belief networks and in that I am struggling to understand how probabilities are calculated. I found this article here and the netwo...

Can you explain the card trick that is explained here? Edit: Here's a summary of the trick as explained in the video: Start by asking a spectator to ...

A bag I contain $4$ white and $6$ black balls while another Bag II contains $4$ white and $3$ black balls. One ball is drawn at random from one of the bag...

What book(s) do you recommend before Concrete Mathematics? Is something like "Introduction to discrete Mathematics" enough?

$$\int_0^\pi x \ln(\sin (x))dx $$ I tried integrating this by parts but I end up getting integral that doesn't converge, which is this $$ \int_0^\pi ...

Theorem: If $W$ is a set of one or more vectors in a vector space $V$, then $W$ is a subspace of $V$ if and only if the following conditions are satisfied...

Is there any elementary proof of Farkas lemma which does not use convex analysis and hyperplane separation theorem? What about special case below: If the ...

In a propositional logic system for example, it is sound iff $\Gamma \vdash \varphi \implies \Gamma \vDash \varphi$ and complete iff $\Gamma \vDash \varph...

Let $a,b,c$ be whole numbers so that $$1 \le a \le 3$$ $$2\le b \le4$$ $$3\le c \le5$$Find number of solutions of the equation, $a+b+c=10$. Note: Please u...