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, to estimate the area of a domain D, first pick a simple domain E whose area is easily calculated and which contains D. Now pick a sequence of random points that fall within E. Some fraction of these points will also fall within D. The area of D is then estimated as this fraction multiplied by the area of E.

Informally put, the idea behind the proof of the no-trade theorem is that if there is common knowledge about the structure of a market, then any bid or offer ( i. e. attempt to initiate a trade ) will reveal the bidder's private knowledge and will be incorporated into market prices even before anyone accepts the bid or offer, so no profit will result.

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

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

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, 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, 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 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 non-commissioned officers with portepee are often called " the Feldwebel ranks " or even altogether Feldwebel, which creates a similar confusion as exists already with the word Unteroffizier.

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.

Informally, when referring to a Scots feudal baron in the third person, the name Laird of is used or simply.

Informally, this nation was also simply known as Germany.

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

Informally, a thick object in our space is simply connected if it consists of one piece and does not have any " holes " that pass all the way through it.

Informally, " a simply connected h-cobordism is a cylinder ".

Informally called " fudging the data ," this practice includes selective reporting ( see also publication bias ) and even simply making up false data.

Informally, the Houston Cougars have also been referred to as the Coogs, UH, or simply Houston.

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

Informally, it asks whether every problem whose solution can be quickly verified by a computer can also be quickly solved by a computer.

Informally, the theorem says that the curvature of a surface can be determined entirely by measuring angles and distances on the surface.

Informally the Church – Turing thesis states that if some method ( algorithm ) exists to carry out a calculation, then the same calculation can also be carried out by a Turing machine ( as well as by a recursively definable function, and by a λ-function ).

( Informally, input positions can be thought of as locations at token boundaries.

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, 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, a conservative force can be thought of as a force that conserves mechanical energy.

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 theorem says that the curvature of a surface can be determined entirely by measuring distances along paths on the surface.

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 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 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, 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, the capacity of a classification model is related to how complicated it can be.

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, eigenfaces can be considered a set of " standardized face ingredients ", derived from statistical analysis of many pictures of faces.