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Lambda (written λ, in lowercase) is a non-SI unit of volume equal to 10 −9 m 3, 1 cubic millimetre (mm 3) or 1 microlitre (μL). Introduced by the BIPM in 1880, [ 1 ] the lambda has been used in chemistry [ 2 ] and in law for measuring volume, but its use is not recommended.
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]
the symbol ϖ, a graphic variant of π, is sometimes construed as omega with a bar over it; see π; the unsaturated fats nomenclature in biochemistry (e.g. ω−3 fatty acids) the first uncountable ordinal (also written as Ω) the clique number (number of vertices in a maximum clique) of a graph in graph theory
Lambda calculus is Turing complete, that is, it is a universal model of computation that can be used to simulate any Turing machine. [3] Its namesake, the Greek letter lambda (λ), is used in lambda expressions and lambda terms to denote binding a variable in a function.
In electrochemistry, lambda denotes the "equivalent conductance" of an electrolyte solution. In cosmology, lambda is the symbol for the cosmological constant, a term added to some dynamical equations to account for the accelerating expansion of the universe. In optics, lambda denotes the grating pitch of a Bragg reflector. Also in optics, it ...
The von Mangoldt function satisfies the identity [1] [2] = (). The sum is taken over all integers d that divide n. This is proved by the fundamental theorem of arithmetic, since the terms that are not powers of primes are equal to 0. For example, consider the case n = 12 = 2 2 × 3. Then
2. Denotes the additive inverse and is read as minus, the negative of, or the opposite of; for example, –2. 3. Also used in place of \ for denoting the set-theoretic complement; see \ in § Set theory. × (multiplication sign) 1. In elementary arithmetic, denotes multiplication, and is read as times; for example, 3 × 2. 2.
The lambda cube. Direction of each arrow is direction of inclusion. In mathematical logic and type theory, the λ-cube (also written lambda cube) is a framework introduced by Henk Barendregt [1] to investigate the different dimensions in which the calculus of constructions is a generalization of the simply typed λ-calculus. Each dimension of ...