ANDRES

Retail y cadena de suministro

[Fermat's Library @fermatslibrary]

If you put a spherical loaf of bread through a bread slicer, then each slice comes out with equal crust

[MathType @MathType]

Euler's polyhedron formula reveals the hidden connections between a polyhedron's faces, vertices, and edges. It holds true for a polyhedron that does not intersect itself.

#MathType #math #mathematics #mathfacts

[Algebra Etc. @AlgebraFact]

New post: Symbols for angles

https://t.co/ZwFhpmEeTe

[Algebra Etc. @AlgebraFact]

Every subgroup of a free group is free.

[Anthony Bonato @Anthony_Bonato]

"One goal of category theory is to simplify mathematics."

[Algebra Etc. @AlgebraFact]

Prime factors, phone numbers, and the normal distribution https://t.co/NArVgCvCOg

[Anthony Bonato @Anthony_Bonato]

A few of cleo's greatest hits.

[Algebra Etc. @AlgebraFact]

In an integral domain, a prime element is always irreducible.

[Some theorems @CihanPostsThms]

Theorem. For a set Ω consisting of isomorphism classes of finite groups, TFAE:
(1) There exists N∈ℕ such that every G∈Ω satisfies |G|≤N.
(2) Ω is finite.

Proof: (2) ⇒ (1): evident.
(1) ⇒ (2): there are finitely many binary operations on a set of size ≤ N.

[Algebra Etc. @AlgebraFact]

The characteristic of a field is either 0 or a prime.

[Your Daily Epsilon of Math @Daily_Epsilon]

Here is today’s #dailymaths problem from _Your Daily Epsilon of Math 2023 Calendar_

DM if you are interested in writing a future solution post. #math

[MathType @MathType]

Math fact: both the Jacobian matrix and its determinant are called “The Jacobian”. Confusing right?

The Jacobian matrix of a vector-valued function, named after Carl Gustav Jacobi, is the matrix of all its first-order partial derivatives.

#MathType #math #mathfacts

[Algebra Etc. @AlgebraFact]

In a field of characteristic p, (a + b)^p = a^p + b^p.

[Algebra Etc. @AlgebraFact]

Upper bound on the number of primes less than n

[Algebra Etc. @AlgebraFact]

New post: Piranhas and prime factors

https://t.co/OsGXsooLW0

[Your Daily Epsilon of Math @Daily_Epsilon]

Here is today’s #dailymaths problem from _Your Daily Epsilon of Math 2023 Calendar_

DM if you are interested in writing a future solution post. #math

[Algebra Etc. @AlgebraFact]

Pentagonal numbers

https://t.co/f87kmHULeQ

[Algebra Etc. @AlgebraFact]

(ab - cd)² + (ad + bc)² = (a² + c²)(b² + d²)

[Sam Walters ☕️ @SamuelGWalters]

The irreducible polynomials over the reals ℝ have degrees 1 & 2 only. Over the complexes ℂ, degree 1 only. Over the rationals ℚ they can have any degree n≥1. Over finite fields irreducible polynomials also have arbitrarily large degrees. #math #algebra #NumberTheory

[MathType @MathType]

The characteristic polynomial of a square matrix is an important source of information: its roots are the eigenvalues of the matrix and it is invariant by change of basis. Moreover, all of its coefficients are invariants of the matrix. #MathType