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They typically originate as synonyms [3] within the jargon or slang of an in-group, such as schools, army, police, and the medical profession. For example, exam (ination), math (ematics), and lab (oratory) originated in school slang ; spec (ulation) and tick (et = credit) in stock-exchange slang; and vet (eran) and cap (tain) in army slang.
Using the equivalence, we may define such a structure on the second object as well, via transport of structure. For example, any two vector spaces of the same dimension are isomorphic ; if one of them is given an inner product and if we fix a particular isomorphism, then we may define an inner product on the other space by factoring through the ...
In mathematics, a structure on a set (or on some sets) refers to providing it (or them) with certain additional features (e.g. an operation, relation, metric, or topology). Τhe additional features are attached or related to the set (or to the sets), so as to provide it (or them) with some additional meaning or significance.
Interactive Forms is a mechanism to add forms to the PDF file format. PDF currently supports two different methods for integrating data and PDF forms. Both formats today coexist in the PDF specification: [38] [53] [54] [55] AcroForms (also known as Acrobat forms), introduced in the PDF 1.2 format specification and included in all later PDF ...
A structure on a set, or more generally a type, consists of additional mathematical objects that in some manner attach (or are related) to the set, making it easier to visualize or work with, or endowing the collection with meaning or significance.
Coin clipping, shaving off a small portion of precious metal for profit; Clipping (computer graphics), only drawing things that will be visible to the viewer Noclip mode, or "Noclipping", when the player or another object in a video game unrealistically passes through another object
def – define or definition. deg – degree of a polynomial, or other recursively-defined objects such as well-formed formulas. (Also written as ∂.) del – del, a differential operator. (Also written as.) det – determinant of a matrix or linear transformation. DFT – discrete Fourier transform.
Most symbols have two printed versions. They can be displayed as Unicode characters, or in LaTeX format. With the Unicode version, using search engines and copy-pasting are easier. On the other hand, the LaTeX rendering is often much better (more aesthetic), and is generally considered a standard in mathematics.