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* For every λ in C and every x in A:
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Some Related Sentences
For and every
For every criterion which defines what something is, at the same time proclaims -- implicitly if not openly -- what that something is not.
For new galaxies to be created, Professor Bondi declares, it would only be necessary for a single hydrogen atom to be created in an area the size of your living room once every few million years.
For example, " biweekly " can mean " fortnightly " ( once every two weeks – 26 times a year ), or " twice a week " ( 104 times a year ).
** Tarski's theorem: For every infinite set A, there is a bijective map between the sets A and A × A.
For example, if we abbreviate by BP the claim that every set of real numbers has the property of Baire, then BP is stronger than ¬ AC, which asserts the nonexistence of any choice function on perhaps only a single set of nonempty sets.
For Tarrou, plague is the destructive impulse within every person, the will and the capacity to do harm, and it is everyone's duty to be on guard against this tendency within themselves, lest they infect someone else with it.
For every group G there is a natural group homomorphism G → Aut ( G ) whose image is the group Inn ( G ) of inner automorphisms and whose kernel is the center of G. Thus, if G has trivial center it can be embedded into its own automorphism group.
For Hume, every effect only follows its cause arbitrarily — they are entirely distinct from one another.
Professor Henry Higgins sings, " Look at her, a prisoner of the gutters / Condemned by every syllable she utters / By right she should be taken out and hung / For the cold-blooded murder of the English tongue.
For example, the division example above is surjective ( or onto ) because every rational number may be expressed as a quotient of an integer and a natural number.
For example, the BBC website, which had previously been called BBC Online, took on the BBCi brand from 2001, displaying an i-bar across the top of every page, offering a category-based navigation: Categories, TV, Radio, Communicate, Where I Live, A-Z Index, and a search.
For example, in the Schrödinger picture, there is a linear operator U with the property that if an electron is in state right now, then in one minute it will be in the state, the same U for every possible.
For and λ
For any alphabet there is only one word of length 0, the empty word, which is often denoted by e, ε or λ.
For light, the refractive index n, vacuum wavelength λ < sub > 0 </ sub >, and wavelength in the medium λ, are related by
For example, suppose the state space is the n-dimensional complex Hilbert space C < sup > n </ sup > and A is a Hermitian matrix with eigenvalues λ < sub > i </ sub >, with corresponding eigenvectors ψ < sub > i </ sub >.
For a beam of wavelength λ at a distance z along the beam from the beam waist, the variation of the spot size is given by
For many optical fiber materials, M ( λ ) approaches zero at a specific wavelength λ < sub > 0 </ sub > between 1. 3 and 1. 5 μm.
For a half-wave plate, the relationship between L, Δn, and λ < sub > 0 </ sub > is chosen so that the phase shift between polarization components is Γ = π.
For a quarter-wave plate, the relationship between L, Δn, and λ < sub > 0 </ sub > is chosen so that the phase shift between polarization components is Γ = π / 2.
For example, component failures typically occur at some constant failure rate λ ( a constant hazard function ).
For example, a λ DNA-HindIII Digest: a common lambda DNA ladder that has band sizes ( in base pairs ) of 23, 130 ; 9, 416 ; 6, 557 ; 4, 361 ; 2, 322 ; 2, 027 ; 564 ; and 125 bp
For visible light, refraction indices n of most transparent materials ( e. g., air, glasses ) decrease with increasing wavelength λ:
For a 1 × 1 matrix A = ( a ), the characteristic polynomial is given by p ( λ )= λ − a, and so p ( A )=( a )− a ( 1 )=( 0 ) is obvious.
For instance, in the above 2 × 2 matrix example, the coefficient − c < sub > 1 </ sub >= a + d of λ above is just the trace of A, trA, while the constant coefficient c < sub > 0 </ sub >= ad − bc can be written as ½ (( trA )< sup > 2 </ sup >− tr ( A < sup > 2 </ sup >)).
For λ to be in the resolvent ( i. e. not in the spectrum ), as in the bounded case λI − T must be bijective, since it must have a two-sided inverse.
For a simple plane-mirror cavity, the allowed modes are those for which the separation distance of the mirrors L is an exact multiple of half the wavelength of the light λ, such that, where q is an integer known as the mode order.
0.752 seconds.