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Weekend affinity.Groups usually come with homomorphisms, defined as mappings preserving multiplic ...math
An exerciseHere is a little problem. Given an array \(A\) of \(N\) integers, find a sub-arr ...math   programming
What is cosh(List(Bool))? Or beyond algebra: analysis of data types.There is that curious idea that you can think of a type in a programming languag ...math   programming
Деревья по кругу._Abstract_: orbits of an endomorphism of a finite set are represented as connec ...math
Cographs, cocounts and coconuts._Abstract_: Dual of the familiar construction of the graph of a function is con ...math
Blindsight spot.I just realised that in any unital ring commutativity of addition follows from d ...math
Euclid continuityLet's talk about one of the simplest, if not trivial, subjects in the oldest and ...math
a trivial exercise.Let's find a sum \sum_{n=1}^\infty {1\over{n(n+2)}} There is a well-know standar ...math
The Hunt for Addi(c)tive MonsterThis is another spurious post about mathematics that happened instead of somethi ...math
The Hunt for Addi(c)tive Monster 2.In the previous post, we were looking for _a monster_—a nonlinear additive funct ...math
Inaccessible Cardinals[>>>„On the Consistency of Choice for Strongly Inaccessible Cardinals.“] [>>>„О ...Pope   math
Unexpected isomorphism.Since Cantor's "I see it, but I cannot believe it" (1877), we know that \(\mathb ...math
limit and evaluationLet \(D\) be a category with functorial limits of functors from some category \( ...math
Publish or Perish in style.Joseph Liouville, a famous French mathematician, whom multiple important theorem ...math
Long [story of] division.The following text can be viewed as extremely dry and intimidating, or, equally, ...math   programming
S. MacLane diedSaunders MacLane passed away on the morning of April 14. ...math
Riemann hypothesis, DIYContinuing with useless exercises, let's look at prime numbers. We shall use Has ...math   programming
Unintentionally yours.Extension. This post is about set theory, which is a framework to reason about c ...math
Zero is overratedDefine a sequence of functions \(P_i:\mathbb{R}^+\rightarrow\mathbb{R}\), \(i\in ...math
Zero everywhere. (студенческая олимпиада МФТИ по математике, 2013, задача 3) Предположим, что \( ...math