Informally, w represents a " script " for the computable function f, and F represents an " interpreter " that parses the script as a prefix of its input and then executes it on the remainder of input.

Informally, a soundness theorem for a deductive system expresses that all provable sentences are true.

Informally, the " P vs. NP " question asks whether every optimization problem whose answers can be efficiently verified for correctness / optimality can be solved optimally with an efficient algorithm.

In other words, L can be solved in polynomial time by an oracle machine with an oracle for H. Informally, we can think of an algorithm that can call such an oracle machine as a subroutine for solving H, and solves L in polynomial time, if the subroutine call takes only one step to compute.

** Informally, the name often used for the entire West Coast Region, of which the Westland District is a part

Informally, the name " NFL Europe " continued to be used in the United States, including for the league's English-language Web site, nfleurope. com.

Informally, this means that given a constructive proof that an object exists, then that constructive proof can be turned into an algorithm for generating an example of it.

Informally, however, scientists may still take advantage of the pathetic fallacy for quick and convenient metaphoric explanations of complex scientific concepts in a readily understood way.

Informally this has been called the " Step Boundary ", although the step-like shape of the boundary was not apparent for several decades — the source of the Arkansas, believed to be near the 42nd parallel, was not known until John C. Frémont located it in the 1840s, hundreds of miles south of the 42nd parallel.

Informally speaking, continuations can account for the similarity between such sentences as " Alice sees Bob "— formally, — and " Alice sees everyone ", i. e..

Informally, a language L is in MA if for all strings in the language, there is a polynomial sized proof that Merlin can send Arthur to convince him of this fact with high probability, and for all strings not in the language there is no proof that convinces Arthur with high probability.

Informally, a path expression is a sequence of steps separated by the "" operator, for example ( which is short for ).

In the mathematical fields of linear algebra and functional analysis, the orthogonal complement of a subspace W of a vector space V equipped with a bilinear form B is the set W < sup >⊥</ sup > of all vectors in V that are orthogonal to every vector in W. Informally, it is called the perp, short for perpendicular complement.

Informally, the gold fixing provides a recognized rate that is used as a benchmark for pricing the majority of gold products and derivatives throughout the world's markets.

Informally the portion of the Torah read by or to the maftir is called the " maftir portion ", or the " maftir " for short: in a Chumash the word " maftir " is printed in the margin at the beginning of that portion.

Informally, if F is '= y ', G is ' is Pegasus ', and we substitute ' Pegasus ' for y, then ( 4 ) appears to allow us to infer from ' everything identical with Pegasus is Pegasus ' that something is identical with Pegasus.

Informally, the term " graph invariant " is used for properties expressed quantitatively, while " property " usually refers to descriptive characterizations of graphs.

Informally, a strategy for a player is a way of playing in which his plays are entirely determined by the foregoing plays.

Informally this deal was arranged personally by Demetris Christofias, president of Cyprus and most of the money for the contract was sponsored by Laiki Bank.

Informally known as " The Big Book " ( with its first 164 pages virtually unchanged since the 1939 edition ), it suggests a twelve-step program in which members admit that they are powerless over alcohol and need help from a " higher power "; seek guidance and strength through prayer and meditation from God or Higher Power of their own understanding ; take a moral inventory with care to include resentments ; list and become ready to remove character defects ; list and make amends to those harmed, and then try to help other alcoholics recover.

Informally, a free object over a set A can be thought as being a " generic " algebraic structure over A: the only equations that hold between elements of the free object are those that follow from the defining axioms of the algebraic structure.

Informally, C can be regarded as the *- algebra of continuous complex-valued functions over the compact matrix quantum group, and u can be regarded as a finite-dimensional representation of the compact matrix quantum group.

Informally, a weakly simple polygon is a polygon in which some sides can " touch " but cannot " cross over ".

Informally, the term " evening " is used in place of " night ", especially in the context of an event which takes place over the course of said " evening ".

Informally, the lemma immediately gives a precise sense in which finitely generated modules over a commutative ring behave like vector spaces over a field.

Informally, a flow may be viewed as a continuous motion of points over time.

Informally, subvarieties are in general position if they cannot be described more simply than others.

Informally stated, with certain technical assumptions, every representation of the Heisenberg group is equivalent to the position operators and momentum operators on R < sup > n </ sup >.

Informally, he may have been known as " Dickon ", according to a sixteenth-century legend of a note, warning of treachery, that was sent to the Duke of Norfolk on the eve of Bosworth: " Jack of Norffolke be not to bolde ,/ For Dyckon thy maister is bought and solde ".

Informally, it was known as the Dewitt Colony.

Informally, this nation was also simply known as Germany.

Informally known as " The Country Club of the South ," Furman was named one of the 362 most beautiful places in America by the American Society of Landscape Architects.

Informally the island was used by fishermen from Cuba and from the British Bahamas, who were later joined by others from the United States after the latter nation's independence.

Informally it was often referred as Stavropol-on-Volga (, Stavropol-na-Volge ) to distinguish from Stavropol, a large city in southwest Russia.

Informally it was known as the Wang Jingwei regime (), the Nanjing Nationalist Government (), the Republic of China-Nanjing, the Nanjing regime, or New China.

Informally, they could simply spend less until utility was exactly.

Informally put, the axiom of choice says that given any collection of bins, each containing at least one object, it is possible to make a selection of exactly one object from each bin.

Informally, these theorems say that given more time, a Turing machine can solve more problems.

Informally, senators are sometimes given the higher title of ' Venerable '.

Informally, the terms C standard library or C library or libc are also used to designate a particular implementation on a given system.

Informally, given the prime factorization of m, take b to be the product of the prime factors of m that have an odd exponent ( if there are none, then take b to be 1 ).

Informally, the theorem says that given some formal arithmetic, the concept of truth in that arithmetic is not definable using the expressive means that arithmetic affords.

Informally, given a problem, the Turing jump returns the set of Turing machines which halt when given access to an oracle that solves that problem.

Informally, the function type refers to the set of functions that, given an input of type, produce an output of type.

Informally, hypoxemic hypoxia is sometimes informally given as hypoxic hypoxia.

Informally, this means that whenever we are given the unit ball of some seminorm, we can find a " much smaller " unit ball of another seminorm inside it, or that any neighborhood of 0 contains a " much smaller " neighborhood.