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Let c be the lowest point on the chain, called the vertex of the catenary,
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Let and c
* Let Q be a set enclosed between two step regions S and T. A step region is formed from a finite union of adjacent rectangles resting on a common base, i. e. S ⊆ Q ⊆ T. If there is a unique number c such that a ( S ) ≤ c ≤ a ( T ) for all such step regions S and T, then a ( Q )
Let t and s ( t > s ) be the sides of the two inscribed squares in a right triangle with hypotenuse c. Then s < sup > 2 </ sup > equals half the harmonic mean of c < sup > 2 </ sup > and t < sup > 2 </ sup >.
That is, Alice has one half, a, and Bob has the other half, b. Let c denote the qubit Alice wishes to transmit to Bob.
The Apostolic Constitutions ( compiled c. 380 ) says: " Let the bishop give the oblation, saying, The body of Christ ; and let him that receiveth say, Amen.
* Let Met < sub > c </ sub > be the category of metric spaces with continuous functions for morphisms.
# Let p = ( p < sub > 1 </ sub >, p < sub > 2 </ sub >) be an element of W, that is, a point in the plane such that p < sub > 1 </ sub > = p < sub > 2 </ sub >, and let c be a scalar in R. Then cp = ( cp < sub > 1 </ sub >, cp < sub > 2 </ sub >); since p < sub > 1 </ sub > = p < sub > 2 </ sub >, then cp < sub > 1 </ sub > = cp < sub > 2 </ sub >, so cp is an element of W.
Suppose G is an ordered abelian group, meaning an abelian group with a total ordering "<" respecting the group's addition, so that a < b if and only if a + c < b + c for all c. Let I be a well-ordered subset of G, meaning I contains no infinite descending chain.
Let be the mean of the values in associated with class c, and let be the variance of the values in associated with class c. Then, the probability of some value given a class,, can be computed by plugging into the equation for a Normal distribution parameterized by and.
She had a related UK single release as " Jennifer " on London HLU 10278 in June 1969 with " Let The Sunshine In " c / w " Easy To Be Hard ", licensed from US Parrot label.
" ( W 21: 48 ), b ) Paul McCartney – " Let It Be " ( W 21: 51 ), c ) Band Aid ( led by Bob Geldof ) – " Do They Know It's Christmas?
Let vectors < u > a </ u >, < u > b </ u >, < u > c </ u > and < u > h </ u > determine the position of each of the four orthocentric points and let < u > n </ u > = (< u > a </ u > + < u > b </ u > + < u > c </ u > + < u > h </ u >) / 4 be the position vector of N, the common nine-point center.
Let and be
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 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 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 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 it be granted then that the theological differences in this area between Protestants and Roman Catholics appear to be irreconcilable.
Let us therefore put first things first, and make sure of preserving the human race at whatever the temporary price may be ''.
Let and lowest
There are small variations in payoffs between casinos, but the lowest paying hand in Let It Ride is typically a pair of 10s ; a pair of nines or less is a losing hand, which results in the player forfeiting their remaining wager to the house.
Let X be an affine algebraic variety embedded into the affine space k < sup > n </ sup >, with the defining ideal I ⊂ k. For any polynomial f, let in ( f ) be the homogeneous component of f of the lowest degree, the initial term of f, and let in ( I ) ⊂ k be the homogeneous ideal which is formed by the initial terms in ( f ) for all f ∈ I, the initial ideal of I.
Let d < sub > n </ sub > denote the denominator of a < sub > n </ sub >, as a fraction in lowest terms.
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