A heuristic technique, often called simply a heuristic, is any approach to problem solving, learning, or discovery that employs a practical method, not guaranteed to be optimal, perfect, logical, or rational, but instead sufficient for reaching an immediate goal.
Good hobbit, bad hobbit math theory
In mathematics, and especially in category theory, a commutative diagram is a diagram such that all directed paths in the diagram with the same start and endpoints lead to the same result. Commutative diagrams play the role in category theory that equations play in algebra .
In mathematics, a hierarchy is a set-theoretical object, consisting of a preorder defined on a set. This is often referred to as an ordered set, though that is an ambiguous term that many authors reserve for partially ordered sets or totally ordered sets. The term pre-ordered set is unambiguous, and is always synonymous with a mathematical hierarchy. The term hierarchy is used to stress a hierarchical relation among the elements.
In mathematics, and more specifically in naive set theory, the range of a function refers to either the codomain or the image of the function, depending upon usage. Modern usage almost always uses range to mean image.
In mathematics, an image is the subset of a function's codomain which is the output of the function from a subset of its domain.
Evaluating a function at each element of a subset X of the domain, produces a set called the image of X under or through the function. The inverse image or preimage of a particular subset S of the codomain of a function is the set of all elements of the domain that map to the members of S.
Image and inverse image may also be defined for general binary relations, not just functions.
For Lipschitz continuity sake, let us consider the Slutsky equation.
From, Street-Fighting Mathematics: The Art of Educated Guessing and Opportunistic Problem Solving, Book by Sanjoy Mahajan, Ch. 3 Lumping,
Full Width at Half Maximum FWHM heuristic, Stirling's Aproximation are discussed.
In mathematics, injections, surjections and bijections are classes of functions distinguished by the manner in which arguments (input expressions from the domain) and images (output expressions from the codomain) are related or mapped to each other.
"Injective, Surjective and Bijective" tells us about how a function behaves.
The lumped element model (also called lumped parameter model, or lumped component model) simplifies the description of the behaviour of spatially distributed physical systems into a topology consisting of discrete entities that approximate the behaviour of the distributed system under certain assumptions. It is useful in electrical systems (including electronics), mechanical multibody systems, heat transfer, acoustics, etc.
Mathematically speaking, the simplification reduces the state space of the system to a finite dimension, and the partial differential equations (PDEs) of the continuous (infinite-dimensional) time and space model of the physical system into ordinary differential equations (ODEs) with a finite number of parameters.
1.2.4 Lumping
Mathematical Modelling and Computers in Endocrinology
By Rosalind McIntosh
The Sexy prime Freudenthal–Tits magic square Lie Algebra
What does the phrase like it or lump it mean?
like it or lump it. informal. If you tell someone to like it or lump it, you mean that person must accept a situation they do not like, because it cannot be changed: Like it or lump it, romantic fiction is read regularly by thousands.
Stirling's Approximation for n!
What is a take it or leave it contract?
A standard form contract (sometimes referred to as a contract of adhesion, a leonine contract, a take-it-or-leave-it contract, or a boilerplate contract) is a contract between two parties, where the terms and conditions of the contract are set by one of the parties, and the other party has little or no ability to negotiate more favorable terms and is thus placed in a "take it or leave it" position.
The electron phonon interaction that forms Cooper pairs in low-Tc superconductors (type-I superconductors) can also be modeled as a polaron, and two opposite spin electrons may form a bipolaron sharing a phonon cloud.
Debye toroidal moment of surface plasmons as SBIR ESCO model
In mathematics, Stirling's approximation is an approximation for factorials. It is a good approximation, leading to accurate results even for small values of n. It is named after James Stirling, though it was first stated by Abraham de Moivre.
In mathematics, particularly in combinatorics, a Stirling number of the second kind (or Stirling partition number) is the number of ways to partition a set of n objects into k non-empty subsets and is denoted by S ( n , k ) or 
. Stirling numbers of the second kind occur in the field of mathematics called combinatorics and the study of partitions.
Loschmidt's paradox, also known as the reversibility paradox, irreversibility paradox or Umkehreinwand,is the objection that it should not be possible to deduce an irreversible process from time-symmetric dynamics. This puts the time reversal symmetry of (almost) all known low-level fundamental physical processes at odds with any attempt to infer from them the second law of thermodynamics which describes the behaviour of macroscopic systems. Both of these are well-accepted principles in physics, with sound observational and theoretical support, yet they seem to be in conflict; hence the paradox.
Connective
A function, or the symbol representing a function, which corresponds to English conjunctions such as "and," "or," "not," etc. that takes one or more truth values as input and returns a single truth value as output. The terms "logical connective" and "propositional connective" (Mendelson 1997, p. 13) are also used.