Contraction

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Contraction may refer to:

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Mathematics and logic

Medicine

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The term phonation has slightly different meanings depending on the subfield of phonetics. Among some phoneticians, phonation is the process by which the vocal folds produce certain sounds through quasi-periodic vibration. This is the definition used among those who study laryngeal anatomy and physiology and speech production in general. Phoneticians in other subfields, such as linguistic phonetics, call this process voicing, and use the term phonation to refer to any oscillatory state of any part of the larynx that modifies the airstream, of which voicing is just one example. Voiceless and supra-glottal phonations are included under this definition.

Reduction, reduced, or reduce may refer to:

Tensor Algebraic object with geometric applications

In mathematics, a tensor is an algebraic object that describes a multilinear relationship between sets of algebraic objects related to a vector space. Objects that tensors may map between include vectors and scalars, and even other tensors. There are many types of tensors, including scalars and vectors, dual vectors, multilinear maps between vector spaces, and even some operations such as the dot product. Tensors are defined independent of any basis, although they are often referred to by their components in a basis related to a particular coordinate system.

Core or cores may refer to:

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In linguistics, an elision or deletion is broadly defined as the omission of one or more sounds in a word or phrase. However, it is also used to refer more narrowly to cases where two words are run together by the omission of a final sound. An example is the elision of word-final /t/ in English if it is preceded and followed by a consonant: ‘first light’ is often pronounced /fɜ:s laɪt/. Many other terms are used to refer to particular cases where sounds are omitted.

Tense may refer to:

Proto-Germanic language Ancestor of the Germanic languages

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In multilinear algebra, a tensor contraction is an operation on a tensor that arises from the natural pairing of a finite-dimensional vector space and its dual. In components, it is expressed as a sum of products of scalar components of the tensor(s) caused by applying the summation convention to a pair of dummy indices that are bound to each other in an expression. The contraction of a single mixed tensor occurs when a pair of literal indices of the tensor are set equal to each other and summed over. In Einstein notation this summation is built into the notation. The result is another tensor with order reduced by 2.

Multilinear algebra is a subfield of mathematics that extends the methods of linear algebra. Just as linear algebra is built on the concept of a vector and develops the theory of vector spaces, multilinear algebra builds on the concepts of p-vectors and multivectors with Grassmann algebras.

Product may refer to:

The dagesh is a diacritic used in the Hebrew alphabet. It was added to the Hebrew orthography at the same time as the Masoretic system of niqqud. It takes the form of a dot placed inside a Hebrew letter and has the effect of modifying the sound in one of two ways.

Tinglish English dialect used by Thai people

Tinglish refers to any form of English mixed with or heavily influenced by Thai. It is typically produced by native Thai speakers due to language interference from the first language. Differences from standard native English occur in pronunciation, vocabulary, and grammar. The term was coined in 1970, and several alternative terms have been proposed since its inception, such as Thainglish (1973), Thaiglish (1992), Tinglish (1994), Thinglish (1976), Thenglish (2003), and Tenglish (2012).

A contraction is a shortened version of the spoken and written forms of a word, syllable, or word group, created by omission of internal letters and sounds.

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Introduction to the mathematics of general relativity

The mathematics of general relativity is complex. In Newton's theories of motion, an object's length and the rate at which time passes remain constant while the object accelerates, meaning that many problems in Newtonian mechanics may be solved by algebra alone. In relativity, however, an object's length and the rate at which time passes both change appreciably as the object's speed approaches the speed of light, meaning that more variables and more complicated mathematics are required to calculate the object's motion. As a result, relativity requires the use of concepts such as vectors, tensors, pseudotensors and curvilinear coordinates.

Tensor Product refers to one of several related binary operations, typically denoted . Usually, they are associative, unital, and symmetric.