How do you prove that two equivalence classes are equal? How to find equivalence classes of a relation? How do you find an equivalence class? What is an antisymmetric relation in discrete mathematics? How do you find the equivalence class of a class 12? What is discrete math? Does the fun...
What is CNF and DNF in discrete mathematics? What is an antisymmetric relation in discrete mathematics? What does a double ended arrow mean in discrete mathematics? What does the large intersection sign mean in discrete mathematics? What is the meaning of algebra in math? What are equivalence c...
Abstract In this paper we revisit an open problem posed by Aldous on the max-entropy win-probability martingale: given two players of equal strength, such that the win-probability is a martingale diffusion, which of these processes has maximum entropy and hence gives the most excitement for the...
As it is shown in the first part of this short essay, duality plus conservation laws allow the violation of Bell’s inequalities for any spatio-temporal separation. To dig deeper into particle dualism, in the second part, a class of models is proposed as a working framework. It encompasses...
where and is a parameter (we make the quasipolynomial choice for a suitable absolute constant ). This approximant is then used for most of the argument, with relatively routine changes; for instance, an improving estimate needs to be replaced by a weighted analogue that is relatively easy to ...
18 December, 2022 in expository, math.MP | Tags: special relativity | by Terence Tao | 65 comments This post is an unofficial sequel to one of my first blog posts from 2007, which was entitled “Quantum mechanics and Tomb Raider“. One of the oldest and most famous allegories is Plat...
Well, first we have to decide how we’re going to represent the numbersxandf[x] in our discrete rule array system. And one approach is to do this simply in terms of the position of a black cell (“one-hot encoding”). So, for example, in this case there’s ...
The inside of the proton itself is more like a commune packed full of single adults and children: pure chaos. It too is a bound state, but what it binds is not something as simple as a proton and an electron, as in hydrogen, or even a few dozen electrons to an atomic nucleus, as...
Locally there is no violation of the speed of light. Locally, the objects inside the saucer are continually in zero g-force weightless free float no matter how curved the flight path looks to an outside observer. The expansion of volume elements is defined as the covariant divergence of the...
Why is a proof invalid without a base case? How to prove tautology by logical equivalence? Provide an example, if necessary. What are connectives in discrete mathematics? Prove by induction that \sum_{i=n}^{2n} i^2 = \frac{n (n + 1) (14 n + 1)}{6} for every n ∈ N. ...