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Let and b
Let e be the error in b. Assuming that A is a square matrix, the error in the solution A < sup >− 1 </ sup > b is A < sup >− 1 </ sup > e.
: Theorem on projections: Let the function f: X → B be such that a ~ b → f ( a )
" 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 )).
Moving to groups in general, let H be a subgroup of some group G. Let ~ be an equivalence relation on G, such that a ~ b ↔ ( ab < sup >− 1 </ sup > ∈ H ).
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.
* If You Love Me, Let Me Know ( 1974 )< sup > b </ sup >
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 vectors and let denote the matrix with elements of a and b. Then the area of the parallelogram generated by a and b is equal to.
Let vectors and let Then the area of the parallelogram generated by a and b is equal to.
" ( 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 a be the operation " swap the first block and the second block ", and b be the operation " swap the second block and the third block ".
and switches between b-1 and b bits for Golomb code ( i. e. M is not a power of 2 ): Let.
Let K be the triangle's area and let a, b and c, be the lengths of its sides.
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 f: D → R be a function defined on a subset D of the real line R. Let I = b be a closed interval contained in D, and let P =
Let M be a model and a, b, c indices from M. An implication is defined
Let x, y, z be complex numbers, and let a, b be real numbers.

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 ) ≤ ca ( T ) for all such step regions S and T, then a ( Q )
Let c be the lowest point on the chain, called the vertex of the catenary,
Let us for simplicity take, then < math > 0 < c =- 2a </ math > and.
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 >.
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.
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.
* Let cbe an element of C ′.
* Let c in C be such that n ( c )
Let c, h, s be the sides of three squares associated with the right

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??

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