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Equivalent Full-Time Student Load
Equivalence or Equivalent may refer to: Arts and entertainment *Album-equivalent unit, a measurement unit in the music industry *Equivalence class (music) *''Equivalent VIII'', or ''The Bricks'', a minimalist sculpture by Carl Andre *''Equivalents'', a series of photographs of clouds by Alfred Stieglitz Language *Dynamic and formal equivalence in translation *Equivalence (formal languages) Law *The doctrine of equivalents in patent law *The equivalence principle as if impacts on the direct effect of European Union law Logic *Logical equivalence, where two statements are logically equivalent if they have the same logical content *Material equivalence, a relationship where the truth of either one of the connected statements requires the truth of the other Science and technology Chemistry *Equivalent (chemistry) *Equivalence point *Equivalent weight Computing *Turing equivalence (theory of computation), or Turing completeness *Semantic equivalence in computer metadata Economic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Album-equivalent Unit
The album-equivalent unit, or album equivalent, often shortened to just unit, is a sales metric in the music industry that defines the number of streaming media, songs streamed and music download, songs downloaded equal to one Record sales, traditional album sale. The album-equivalent unit was introduced in the mid-2010s as an answer to the drop of album sales in the 21st century. Album sales more than halved from 1999 to 2009, declining from a $14.6 to $6.3 billion industry, partly due to cheap digitally downloaded Single (music), singles. For instance, the only albums that Music recording certification, went platinum in the United States in 2014 were the Frozen (soundtrack), ''Frozen'' soundtrack and Taylor Swift's ''1989 (album), 1989'', whereas several albums had gone platinum in 2013. The use of album-equivalent units transformed the Record chart, music charts from a ranking of best-selling albums into a ranking of most popular albums. The International Federation of the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ricardian Equivalence
The Ricardian equivalence proposition (also known as the Ricardo–de Viti–Barro equivalence theorem) is an economic hypothesis holding that consumers are forward-looking and so internalize the government's budget constraint when making their consumption decisions. This leads to the result that, for a given pattern of government spending, the method of financing such spending does not affect agents' consumption decisions, and thus, it does not change aggregate demand. Introduction Governments can finance their expenditures by creating new money, by levying taxes, or by issuing bonds. Since bonds are loans, they must eventually be repaid—presumably by raising taxes in the future. The choice is therefore "tax now or tax later." Suppose that the government finances some extra spending through deficits; i.e. it chooses to tax later. According to the hypothesis, taxpayers will anticipate that they will have to pay higher taxes in future. As a result, they will save, rather than s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
The Equivalent
The Equivalent was a sum negotiated at £398,085 10s. 0d. () paid to Scotland by the English Government under the terms of the Acts of Union 1707. Proposals for it first emerged in the course of abortive Union negotiations in 1702 to 1703. The Equivalent's purposes were ostensibly to take account of the contribution that Scots taxpayers would then make towards servicing the English national debt and as transitional mitigation of the effects of higher taxes on the Scottish economy. Though attempts have been made to see it as a precise calculation, it is now generally regarded as part of a political bargain designed for other purposes as well, such as the costs of winding up the Company of Scotland which had undertaken the Darien scheme. Shareholders in and creditors of the company were to receive 58.6% of The Equivalent. It was also suggested that payments found their way to members of the Scottish Parliament who voted for its abolition. The fund was ultimately overseen in 1728 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Moral Equivalence
Moral equivalence is a term used in political debate, usually to deny that a moral comparison can be made of two sides in a conflict, or in the actions or tactics of two sides. The term had some currency in polemic debates about the Cold War. "Moral equivalence" began to be used as a polemic ''term-of-retort'' to " moral relativism", which had been gaining use as an indictment against political foreign policy that appeared to use only a situation-based application of widely held ethical standards. International conflicts are sometimes viewed similarly, and interested parties periodically urge both sides to conduct a ceasefire and negotiate their differences. However these negotiations may prove difficult in that both parties in a conflict believe that they are morally superior to the other, and are unwilling to negotiate on basis of moral equivalence. Cold War In the Cold War context, the term was and is most commonly used by anticommunists as an accusation of formal fallacy f ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Equivalence (trade)
Equivalence is a term applied by the Uruguay Round Agreement on the Application of Sanitary and Phytosanitary Measures. World Trade Organization (WTO) Member countries shall accord acceptance to the Sanitary and Phytosanitary (SPS) measures of other countries (even if those measures differ from their own or from those used by other Member countries trading in the same product) if the exporting country demonstrates to the importing country that its measures achieve the importer’s appropriate level of sanitary and phytosanitary protection. History In June 2021 a trade dispute threatened to erupt between the UK and the von der Leyen Commission over the Northern Irish Protocol (NIP) which flowed from Brexit. The position of Lord Frost and the Johnson government was that trade equivalence with the European Union over SPS measures could be maintained with "a recognition of mutually high standards", whereas his opposite number Maros Sefcovic insisted that Northern Ireland ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Equivalence Principle
The equivalence principle is the hypothesis that the observed equivalence of gravitational and inertial mass is a consequence of nature. The weak form, known for centuries, relates to masses of any composition in free fall taking the same trajectories and landing at identical times. The extended form by Albert Einstein requires special relativity to also hold in free fall and requires the weak equivalence to be valid everywhere. This form was a critical input for the development of the theory of general relativity. The strong form requires Einstein's form to work for stellar objects. Highly precise experimental tests of the principle limit possible deviations from equivalence to be very small. Concept In classical mechanics, Newton's equation of motion in a gravitational field, written out in full, is: : inertial mass × acceleration = gravitational mass × gravitational acceleration Careful experiments have shown that the inertial mass on the left side and gravit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Elementary Equivalence
In model theory, a branch of mathematical logic, two structures ''M'' and ''N'' of the same signature ''σ'' are called elementarily equivalent if they satisfy the same first-order ''σ''-sentences. If ''N'' is a substructure of ''M'', one often needs a stronger condition. In this case ''N'' is called an elementary substructure of ''M'' if every first-order ''σ''-formula ''φ''(''a''1, …, ''a''''n'') with parameters ''a''1, …, ''a''''n'' from ''N'' is true in ''N'' if and only if it is true in ''M''. If ''N'' is an elementary substructure of ''M'', then ''M'' is called an elementary extension of ''N''. An embedding ''h'': ''N'' → ''M'' is called an elementary embedding of ''N'' into ''M'' if ''h''(''N'') is an elementary substructure of ''M''. A substructure ''N'' of ''M'' is elementary if and only if it passes the Tarski–Vaught test: every first-order formula ''φ''(''x'', ''b''1, …, ''b''''n'') with ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Turing Equivalence (recursion Theory)
In computer science and mathematical logic the Turing degree (named after Alan Turing) or degree of unsolvability of a set of natural numbers measures the level of algorithmic unsolvability of the set. Overview The concept of Turing degree is fundamental in computability theory, where sets of natural numbers are often regarded as decision problems. The Turing degree of a set is a measure of how difficult it is to solve the decision problem associated with the set, that is, to determine whether an arbitrary number is in the given set. Two sets are Turing equivalent if they have the same level of unsolvability; each Turing degree is a collection of Turing equivalent sets, so that two sets are in different Turing degrees exactly when they are not Turing equivalent. Furthermore, the Turing degrees are partially ordered, so that if the Turing degree of a set ''X'' is less than the Turing degree of a set ''Y'', then any (possibly noncomputable) procedure that correctly decides wheth ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Matrix Equivalence
In linear algebra, two rectangular ''m''-by-''n'' matrices ''A'' and ''B'' are called equivalent if :B = Q^ A P for some invertible ''n''-by-''n'' matrix ''P'' and some invertible ''m''-by-''m'' matrix ''Q''. Equivalent matrices represent the same linear transformation ''V'' → ''W'' under two different choices of a pair of bases of ''V'' and ''W'', with ''P'' and ''Q'' being the change of basis matrices in ''V'' and ''W'' respectively. The notion of equivalence should not be confused with that of similarity, which is only defined for square matrices, and is much more restrictive (similar matrices are certainly equivalent, but equivalent square matrices need not be similar). That notion corresponds to matrices representing the same endomorphism ''V'' → ''V'' under two different choices of a ''single'' basis of ''V'', used both for initial vectors and their images. Properties Matrix equivalence is an equivalence relation on the space of rectangular m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Identity (mathematics)
In mathematics, an identity is an equality (mathematics), equality relating one mathematical expression ''A'' to another mathematical expression ''B'', such that ''A'' and ''B'' (which might contain some variable (mathematics), variables) produce the same value for all values of the variables within a certain domain of discourse. In other words, ''A'' = ''B'' is an identity if ''A'' and ''B'' define the same function (mathematics), functions, and an identity is an equality between functions that are differently defined. For example, (a+b)^2 = a^2 + 2ab + b^2 and \cos^2\theta + \sin^2\theta =1 are identities. Identities are sometimes indicated by the triple bar symbol instead of , the equals sign. Formally, an identity is a universally quantified equality. Common identities Algebraic identities Certain identities, such as a+0=a and a+(-a)=0, form the basis of algebra, while other identities, such as (a+b)^2 = a^2 + 2ab +b^2 and a^2 - b^2 = (a+b)(a-b), ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Equivalent Infinitesimal
Indeterminate form is a mathematical expression that can obtain any value depending on circumstances. In calculus, it is usually possible to compute the limit of the sum, difference, product, quotient or power of two functions by taking the corresponding combination of the separate limits of each respective function. For example, \begin \lim_ \bigl(f(x) + g(x)\bigr) &= \lim_ f(x) + \lim_ g(x), \\ mu\lim_ \bigl(f(x)g(x)\bigr) &= \lim_ f(x) \cdot \lim_ g(x), \end and likewise for other arithmetic operations; this is sometimes called the algebraic limit theorem. However, certain combinations of particular limiting values cannot be computed in this way, and knowing the limit of each function separately does not suffice to determine the limit of the combination. In these particular situations, the limit is said to take an indeterminate form, described by one of the informal expressions \frac 00,~ \frac,~ 0\times\infty,~ \infty - \infty,~ 0^0,~ 1^\infty, \text \infty^0, among a wide ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Equivalence Of Categories
In category theory, a branch of abstract mathematics, an equivalence of categories is a relation between two Category (mathematics), categories that establishes that these categories are "essentially the same". There are numerous examples of categorical equivalences from many areas of mathematics. Establishing an equivalence involves demonstrating strong similarities between the mathematical structures concerned. In some cases, these structures may appear to be unrelated at a superficial or intuitive level, making the notion fairly powerful: it creates the opportunity to "translate" theorems between different kinds of mathematical structures, knowing that the essential meaning of those theorems is preserved under the translation. If a category is equivalent to the dual (category theory), opposite (or dual) of another category then one speaks of a duality of categories, and says that the two categories are dually equivalent. An equivalence of categories consists of a functor betwe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
