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De Morgan's name for the (multivariate) resultant, an invariant of n forms in n variables that vanishes if they have a common nonzero solution. (Elliott 1895, p.16) emanant The rth emanant of a binary form in variables x i is a covariant given by the action of the rth power of the differential operator Σy i ∂/∂x i. This is essentially the ...
A statement such as that predicate P is satisfied by arbitrarily large values, can be expressed in more formal notation by ∀x : ∃y ≥ x : P(y). See also frequently. The statement that quantity f(x) depending on x "can be made" arbitrarily large, corresponds to ∀y : ∃x : f(x) ≥ y. arbitrary A shorthand for the universal quantifier. An ...
If y is a function of x, then the differential dy of y is related to dx by the formula =, where dy/dx denotes the derivative of y with respect to x. This formula summarizes the intuitive idea that the derivative of y with respect to x is the limit of the ratio of differences Δy/Δx as Δx becomes infinitesimal.
3. Subfactorial: if n is a positive integer, !n is the number of derangements of a set of n elements, and is read as "the subfactorial of n". * Many different uses in mathematics; see Asterisk § Mathematics. | 1. Divisibility: if m and n are two integers, means that m divides n evenly. 2.
The form α is defined by specifying, at each y ∈ N, how γ pairs with each k-vector v at y, and the value of that pairing is an integral over f −1 (y) that depends only on α, v, and the orientations of M and N. More precisely, at each y ∈ N, there is an isomorphism
For example, NPST non-past is not listed, as it is composable from N-non-+ PST past. This convention is grounded in the Leipzig Glossing Rules. [2] Some authors use a lower-case n, for example n H for 'non-human'. [16] Some sources are moving from classical lative (LAT, -L) terminology to 'directional' (DIR), with concommitant changes in the ...
A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems. [1]
In mathematics, the extended real number system [a] is obtained from the real number system by adding two elements denoted + and [b] that are respectively greater and lower than every real number. This allows for treating the potential infinities of infinitely increasing sequences and infinitely decreasing series as actual infinities .
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