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 we can think of elements of the Lie algebra as elements of the group that are " infinitesimally close " to the identity, and the Lie bracket is something to do with the commutator of two such infinitesimal elements.

Informally the word is also used to describe a procedure or process with a specific purpose.

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.

Informally, the term measure word is also sometimes used to refer to numeral classifiers, which are used with nouns that are countable in some languages.

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 Fatou set of the function consists of values with the property that all nearby values behave similarly under repeated iteration of the function, and the Julia set consists of values such that an arbitrarily small perturbation can cause drastic changes in the sequence of iterated function values.

Informally, a set of natural numbers A is Turing reducible to a set B if there is an oracle machine that correctly tells whether numbers are in A when run with B as the oracle set ( in this case, the set A is also said to be ( relatively ) computable from B and recursive in B ).

Informally, the algorithm constructs a finite state machine that resembles a trie with additional links between the various internal nodes.

Informally, the term is often applied in a joking manner to describe any horse that acts up and bucks with or without a rider.

Informally, in the tradition of the Afro-Brazilian syncretic religion Umbanda, Sebastian is often associated with Oxossi, especially in the state of Rio de Janeiro itself.

Informally, free abelian groups or formal sums may also be seen as signed multisets with elements in B.

Informally, dogs may be studied by those with no specific scientific training, such as publicists and authors, breeders, trainers, police dog handlers, animal communicators and others, through literature, history, and personal experience.

Informally, such an object can be thought of as an assemblage of one or more chunks of rubber ( cells ), each shaped like a convex polytope, which are glued to each other by their facets — possibly with much stretching and twisting.

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 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, this reads as follows: something exists with the property F, there is only one such thing, and this unique thing also has the property G.

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, flak jacket may refer to a ballistic vest, particularly Type III and above, which is reinforced with either steel, titanium, ceramic, or polyethylene plates.

Informally, there are city areas with colloquial labels.

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, this is true because polynomial time algorithms are closed under composition.

Informally basis vectors are like " building blocks of a vector ", they are added together to make a vector, and the coordinates are the number of basis vectors in each direction.

Such a definition can be formulated in terms of equivalence classes of smooth functions on M. Informally, we will say that two smooth functions f and g are equivalent at a point x if they have the same first-order behavior near x.

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

Informally, such Brachyceran larvae are called maggots, but the term is nontechnical and often applied indifferently to fly larvae or insect larvae in general.

Informally listed places are:

Informally, this means that arguments of this form do not give good reason to establish their conclusions, even if their premises are true.

Informally, classes are also traditionally named after their lead ships.

Informally, the reconstruction conjecture in graph theory says that graphs are determined uniquely by their subgraphs.

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, this means that differentiable functions are very atypical among continuous functions.

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

Informally, two sets are close in the Hausdorff distance if every point of either set is close to some point of the other set.

Informally, two crystals tend to be in the same crystal system if they have similar symmetries, though there are many exceptions to this.

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, medical graduates are called " Doctors.

Informally, a relational database table is often described as " normalized " if it is in the Third Normal Form.

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

Informally, technicians often call setting jumpers " strapping ".

Informally, reification is often referred to as " making something a first-class citizen " within the scope of a particular system.

Informally it can be considered more widely: from a post-colonial form of amical protection, or protectorate, to confederation of unequal members when the lesser partner ( s ) delegate to the major one ( often the former colonial power ) some authority normally exclusively retained by a self-governing state, often in such fields as defence and foreign relations, while often enjoying favorable economic terms such as market access.

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

Informally, it is often referred to as a " four-finger salute ".

Informally, the Chief Mate will often simply be called " The Mate.

Informally, the creole is known by the term dialect, as the creole is often perceived by locals as a dialect variety of English instead of an English creole language.