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Page "Principle of indifference" ¶ 48

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Let and L

Let P be the root of the unbalanced subtree, with R and L denoting the right and left children of P respectively.

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 L be a first-order language.

Let f, g belong to L 1 ( R n ).

Let L be an ordered set, called a concrete set and let L ′ be another ordered set, called an abstract set.

Let L 1 , L 2 , L ′ 1 and L ′ 2 be ordered sets.

Let us suppose that L is a complete lattice and let f be a monotonic function from L into L. Then, any x ′ such that f ′( x ′) ≤ x ′ is an abstraction of the least fixed-point of f, which exists, according to the Knaster – Tarski theorem.

Theorem: Let R be a Dedekind domain with fraction field K. Let L be a finite degree field extension of K and denote by S the integral closure of R in L. Then S is itself a Dedekind domain.

Let A be the set of all subfields of L that contain K, ordered by inclusion.

Let B be the set of subgroups of Gal ( L / K ), ordered by inclusion.

* " Don't Wake Me Up, Let Me Dream " w. L .. Wolfe Gilbert m. Mabel Wayne

Let us now consider a three-dimensional cubical box that has a side length L ( see infinite square well ).

: Let L be a complete lattice and let f: L → L be an order-preserving function.

Let and be

Let the open enemy to it be regarded as a Pandora with her box opened ; ;

Let every policeman and park guard keep his eye on John and Jane Doe, lest one piece of bread be placed undetected and one bird survive.

`` Let him be now ''!!

Let us assume that it would be possible for an enemy to create an aerosol of the causative agent of epidemic typhus ( Rickettsia prowazwki ) over City A and that a large number of cases of typhus fever resulted therefrom.

Let T be a linear operator on the finite-dimensional vector space V over the field F.

Let p be the minimal polynomial for T, Af, where the Af, are distinct irreducible monic polynomials over F and the Af are positive integers.

Let Af be the null space of Af.

Let N be a linear operator on the vector space V.

Let T be a linear operator on the finite-dimensional vector space V over the field F.

Let V be a finite-dimensional vector space over an algebraically closed field F, e.g., the field of complex numbers.

Let N be a positive integer and let V be the space of all N times continuously differentiable functions F on the real line which satisfy the differential equation Af where Af are some fixed constants.

Let Q be a nonsingular quadric surface bearing reguli Af and Af, and let **zg be a Af curve of order K on Q.

Let us take a set of circumstances in which I happen to be interested on the legislative side and in which I think every one of us might naturally make such a statement.

Let the state of the stream leaving stage R be denoted by a vector Af and the operating variables of stage R by Af.

Let this be denoted by Af.

Let it be granted then that the theological differences in this area between Protestants and Roman Catholics appear to be irreconcilable.

Let not your heart be troubled, neither let it be afraid ''.

The same God who called this world into being when He said: `` Let there be light ''!!

For those who put their trust in Him He still says every day again: `` Let there be light ''!!

Let us therefore put first things first, and make sure of preserving the human race at whatever the temporary price may be ''.

Let her out, let her out -- that would be the solution, wouldn't it??

Let and length

Let w denote the weight per unit length of the chain, then the weight of the chain has magnitude

Let now x ' and y ' be tuples of previously unused variables of the same length as x and y respectively, and let Q be a previously unused relation symbol which takes as many arguments as the sum of lengths of x and y ; we consider the formula

* Let be the least number such that there is a file with length bits that compresses to something shorter.

Let be the length ( in bits ) of the compressed version of.

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

According to some translations, the segment CE, representing the intelligible world, is divided into the same ratio as AC, giving the subdivisions CD and DE ( it can be readily verified that CD must have the same length as BC < ref > Let the length of AE be equal to and that of AC equal to, where < math >

Let ℓ ( e ) be the length of the edge e and θ ( e ) be the dihedral angle between the two faces meeting at e, measured in radians.

Let them perish under mutual slaughter ; for length of days shall not be theirs.

Let ’ s first imagine a cube with sides of length 2, and its center positioned at the axis origin.

Their new album " Es werde Nicht " ( translates to " Let there be Nothing ", a pun on " Es werde Licht "-" Let there be Light ") will be released in September 2011, followed by a big tour with concerts of regular length.

Let be a set called the instance space or the encoding of all the samples, and each instance have length assigned.

Let R be the radius of the circle, θ is the central angle in radians, α is the central angle in degrees, c the chord length, s the arc length, h the height of the segment, and d the height of the triangular portion.

Let 0 → G n → … → G 0 → 0 denote a finite complex of free R-modules such that ⊕ i H i ( G •) has finite length but is not 0.

Let 0 → G n → … → G 0 → 0 denote a finite complex of free R-modules such that H i ( G •) has finite length for i > 0 and H 0 ( G •) has a minimal generator that is killed by a power of the maximal ideal of R. Then dim R ≤ n.

Let us consider the subset of all elements of G which can be presented by such a word of length ≤ n

Let s ( t ) represent the arc length which the particle has moved along the curve.

Let G be a cycle graph of odd length greater than three ( a so-called " odd hole ").

Let the return value of the function be the length of the input accepted by, or 0 if that rule does not accept any input at that offset in the string.

Let denote the length function on W.

Let be the length of a piece of string, its mass, and its linear mass.

0.286 seconds.