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Page "Extreme value theory" ¶ 21
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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 sequence
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 a trapezoid have vertices A, B, C, and D in sequence and have parallel sides AB and CD.
Let there be a finite sequence of positive integers X
Let be the corresponding nested sequence of " coordinate " subspaces of.
Let denote the sequence of convergents to the continued fraction for.
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 < sup > 2 </ sup >.
Let ( E < sub > n </ sub >) be a sequence of events in some probability space.
* The ring of continuous functions from the real numbers to the real numbers is not Noetherian: Let I < sub > n </ sub > be the ideal of all continuous functions f such that f ( x ) = 0 for all x ≥ n. The sequence of ideals I < sub > 0 </ sub >, I < sub > 1 </ sub >, I < sub > 2 </ sub >, etc., is an ascending chain that does not terminate.
Let the samples of be represented by the sequence, and let be represented by the sequence which correspond to the same points in time.
Let the samples of be represented by the sequence, and let be represented by the sequence which correspond to the same points in time.
Such events are followed with Ben's voiceover (" Let me try that again " or " Damn "), after which the sequence starts over to allow the player to retry.
The music used for the final version of the museum sequence is an instrumental cover version of The Smiths ' " Please, Please, Please Let Me Get What I Want ", performed by The Dream Academy.
The film features a notable opening sequence following Manhattan-bound commuters on the Staten Island Ferry accompanied by Carly Simon's song " Let the River Run ", for which she received the Academy Award for Best Song.
Let F be a field and p ( X ) be a polynomial in the polynomial ring F of degree n. The general process for constructing K, the splitting field of p ( X ) over F, is to construct a sequence of fields such that is an extension of containing a new root of p ( X ).
Let ( Ω, F, P ) be a probability space and let F < sub > n </ sub > be a sequence of mutually independent σ-algebras contained in F. Let
The casual " in-the-round " sequence in Elvis Presley's 1968 Comeback Special, and The Beatles informal studio jams documented in the 1970 film Let It Be were both precursors of the " Unplugged " concept, though they were neither conceived nor promoted as such at the time they occurred.
Let the trapezoid have vertices A, B, C, and D in sequence and have parallel sides AB and DC.
Let I be an interval in the real line R. A function f: I → R is absolutely continuous on I if for every positive number, there is a positive number such that whenever a finite sequence of pairwise disjoint sub-intervals ( x < sub > k </ sub >, y < sub > k </ sub >) of I satisfies
Let the coin tosses be represented by a sequence of independent random variables, each of which is equal to H with probability p, and T with probability Let N be time of appearance of the first H ; in other words,, and If the coin never shows H, we write N is itself a random variable because it depends on the random outcomes of the coin tosses.
Let one round be defined as a sequence of consecutive losses followed by either a win, or bankruptcy of the gambler.

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