Let-Z-sub-n-sub-denote-the-state-in-perio

[permalink] [id link]

+ −

Page "Branching process" ¶ 3

from Wikipedia

Promote Demote Fragment Fix

« More previous Okay Cancel More next »

Some Related Sentences

Let and Z

Let F be a diagram that picks out three objects X, Y, and Z in C, where the only non-identity morphisms are f: X → Z and g: Y → Z.

Let: X Y Z where we assume in the typical case that and.

* Let Z be a random variable that takes the value-1 with probability 1 / 2, and takes the value 1 with probability 1 / 2.

* Let the base field F = Z / 2Z, the field of two elements

Let Z be a complex submanifold of X of dimension k, and let i: Z → X be the inclusion map.

Let G be a finite simple undirected graph with edge set E. The power set of E becomes a Z < sub > 2 </ sub >- vector space if we take the symmetric difference as addition, identity function as negation, and empty set as zero.

* A book in which the book itself seeks interaction with the reader ( e. g., Willie Masters ' Lonely Wife by William H. Gass, House of Leaves by Mark Z. Danielewski, or Don't Let the Pigeon Drive the Bus!

Let X, Y, Z be the ambient coordinates in R 3 .

Let G = Z < sub > 3 </ sub >, the cyclic group of three elements with generator a.

Let M < sub > m </ sub > be the set of 2 × 2 integral matrices with determinant m and Γ = M < sub > 1 </ sub > be the full modular group SL ( 2, Z ).

Let Z be the closed image of X, and let be the canonical injection.

Let α be a root of f ; we can then form the ring Z.

A binary image is viewed in mathematical morphology as a subset of a Euclidean space R d or the integer grid Z d , for some dimension d. Let E be a Euclidean space or an integer grid, A a binary image in E, and B a structuring element.

Let S be the shift operator on the sequence space ℓ ∞( Z ), which is defined by ( Sx )< sub > i </ sub > = x < sub > i + 1 </ sub > for all x ∈ ℓ ∞( Z ), and let u ∈ ℓ ∞( Z ) be the constant sequence u < sub > i </ sub > = 1 for all i ∈ Z.

* For any field F let M ( F ) denote the Moufang loop of unit norm elements in the ( unique ) split-octonion algebra over F. Let Z denote the center of M ( F ).

Let Z be the partition function.

Let the third random variable Z be equal to 1 if one and only one of those coin tosses resulted in " heads ", and 0 otherwise.

Let us establish the evident fact that the group Z < sub > 3 </ sub > = Z / 3Z is indeed cyclic.

Let and <

Let ( m, n ) be a pair of amicable numbers with m < n, and write m = gM and n = gN where g is the greatest common divisor of m and n. If M and N are both coprime to g and square free then the pair ( m, n ) is said to be regular, otherwise it is called irregular or exotic.

Let denote the Bézier curve determined by the points P < sub > 0 </ sub >, P < sub > 1 </ sub >, ..., P < sub > n </ sub >.

Let P < sub > F </ sub > be the domain of a prefix-free universal computable function F. The constant Ω < sub > F </ sub > is then defined as

Let M be a smooth manifold and let x be a point in M. Let T < sub > x </ sub > M be the tangent space at x.

Let M be a smooth manifold and let x be a point in M. Let I < sub > x </ sub > be the ideal of all functions in C ∞( M ) vanishing at x, and let I < sub > x </ sub > 2 be the set of functions of the form, where f < sub > i </ sub >, g < sub > i </ sub > ∈ I < sub > x </ sub >.

Let M be a smooth manifold and let f ∈ C ∞( M ) be a smooth function.

Let e be the error in b. Assuming that A is a square matrix, the error in the solution A − 1 b is A − 1 e.

Let us for simplicity take, then < math > 0 < c =- 2a </ math > and.

Let and n

Suppose that in a mathematical language L, it is possible to enumerate all of the defined numbers in L. Let this enumeration be defined by the function G: W → R, where G ( n ) is the real number described by the nth description in the sequence.

Let n be the number of points and d the number of dimensions.

Let X be a finite set with n elements.

Let A be the arithmetic mean and H be the harmonic mean of n positive real numbers.

Let n denote a complete set of ( discrete ) quantum numbers for specifying single-particle states ( for example, for the particle in a box problem we can take n to be the quantized wave vector of the wavefunction.

Let ε ( n ) denote the energy of a particle in state n. As the particles do not interact, the total energy of the system is the sum of the single-particle energies.

Let x < sub > 1 </ sub >, ..., x < sub > n </ sub > be the sizes of the heaps before a move, and y < sub > 1 </ sub >, ..., y < sub > n </ sub > the corresponding sizes after a move.

Let s = x < sub > 1 </ sub > ⊕ ... ⊕ x < sub > n </ sub > and t = y < sub > 1 </ sub > ⊕ ... ⊕ y < sub > n </ sub >.

Let n be the length of a statement in Presburger arithmetic.

Let ( q < sub > 1 </ sub >, w, x < sub > 1 </ sub > x < sub > 2 </ sub >... x < sub > m </ sub >) ( q < sub > 2 </ sub >, y < sub > 1 </ sub > y < sub > 2 </ sub >... y < sub > n </ sub >) be a transition of the GPDA

Let be an oriented smooth manifold of dimension n and let be an n-differential form that is compactly supported on.

:: Let n = 0

Let be a random sample of size n — that is, a sequence of independent and identically distributed random variables drawn from distributions of expected values given by µ and finite variances given by σ 2 .

Let M be an n × n Hermitian matrix.

Let and </

Genesis 1: 9 " And God said, Let the waters be collected ". Letters in black, niqqud in red , cantillation in blue

* Let D < sub > 1 </ sub > and D < sub > 2 </ sub > be directed sets.

0.566 seconds.