Let X be some repeatable process, and i be some point in time after the start of that process.

* Theorem Let X be a normed space.

* Corollary Let X be a reflexive normed space and Y a Banach space.

* Corollary Let X be a reflexive normed space.

Let X and Y be two K-vector spaces.

Let V, W and X be three vector spaces over the same base field F. A bilinear map is a function

Let X denote a Cauchy distributed random variable.

Let X be a nonempty set, and let.

: Theorem on projections: Let the function f: X → B be such that a ~ b → f ( a )

Let X be a finite set with n elements.

" Let X be the unit Cartesian square ×, and let ~ be the equivalence relation on X defined by ∀ a, b ∈ (( a, 0 ) ~ ( a, 1 ) ∧ ( 0, b ) ~ ( 1, b )).

Let X < sub > i </ sub > be the measured weight of the ith object, for i

Let X be a topological space, and let x < sub > 0 </ sub > be a point of X.

Let be the conditional probability distribution function of Y given X.

Let ƒ be a function whose domain is the set X, and whose range is the set Y.

Let ( X < sub > i </ sub >, f < sub > ij </ sub >) be an inverse system of objects and morphisms in a category C ( same definition as above ).

* Let the index set I of an inverse system ( X < sub > i </ sub >, f < sub > ij </ sub >) have a greatest element m. Then the natural projection π < sub > m </ sub >: X → X < sub > m </ sub > is an isomorphism.

Let there be a finite sequence of positive integers X

Let X be a measurable space, let μ be a measure on X, and let N be a measurable set in X.

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 us face reality that " all businesses recover ", whether they planned for recovery or not, simply because business is about earning money for survival.

Although Standish claimed simply to be in Wessagusset on a trading mission, Pecksuot said to Hobbamock, " Let him begin when he dare ... he shall not take us unawares.

When High Table rises ( by which time the Hall is largely empty ), the senior member on High Table simply says Benedictō benedīcātur (" Let the Blessed One be blessed ", or " Let a blessing be given by the Blessed One "), instead of the college postprandial grace:

Let denote an integer number ; the next step is to gain the idea of the reciprocal of, not as but simply as.

In recognition of this development, NovaMute released a remix series with three 12-inch singles between 2001 and 2004 —“ Shame ”/“ Join in the Chant ,” “ Control, I'm Here ”/“ Let Your Body Learn ,” and “ Murderous ”/ Control, I'm Here .” The remix of “ Let Your Body Learn ” was particularly fruitful as it was given a radical overhaul by French techno producer Terence Fixmer, which led first to a friendship and then developed into a recording project between Fixmer and Douglas McCarthy, called simply Fixmer / McCarthy.

Rational Hurewicz theorem: Let X be a simply connected topological space with for.

To all to the Revolution of 1868, the Constituent Cortes of 1869, King Amadeus, the Federal Republic of 1873, the nameless government of Marshal Serrano in 1874, the Bourbon restoration in 1875, he simply said: Cumplase la voluntad nacional (" Let the national will be accomplished ").

Eventually he figures it out, and with no humans left the by now omniscient computer simply ends the story by proclaiming " Let there be light!

Let it simply be asked: Where is the security for property, for reputation, for life, if the sense of religious obligation desert the oaths which are the instruments of investigation in courts of justice?

Rod Blagojevich referred to the story: " Let me simply say, I feel like the old Alan Sillitoe short story ' The Loneliness of the Long Distance Runner ' ... and that's what this is, by the way, a long-distance run.

The single included a cover of " Never Let Me Down Again " by Depeche Mode, though it is always referred as simply " Never Let Me Down ".

Let J ( R ) be the Jacobson radical of R. If U is a right module over a ring, R, and I is an right ideal in R, then define U · I to be the set of all ( finite ) sums of elements of the form u · i, where · is simply the action of R on U. Necessarily, U · I is a submodule of U.

" Let us remember that the genes which are passed down in the egg and sperm from one generation to another are simply molecules of DNA, selected over eons as providing individuals to survive in a real world and to reproduce when mature.