Let-us-notice-that-we-defined-the-surface-integral

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Let and us

Let us look in on one of these nerve centers -- SAC at Omaha -- and see what must still happen before a wing of B-52 bombers could drop their Aj.

Let us re-examine the publicized contrasts between Ptolemaic and Copernican astronomy.

Let us not confuse the issue by labeling the objective or the method `` psychoanalytic '', for this is a well established term of art for the specific ideas and procedures initiated by Sigmund Freud and his followers for the study and treatment of disordered personalities.

Let us differentiate a few of these ideas.

Let us quote once more from R. G. Collingwood: `` History is properly concerned with the actions of human beings Regarded from the outside, an action is an event or series of events occurring in the physical world ; ;

Let us survey for a moment the development of modern thought -- turning our attention from the Reformation toward the revolutionary and romantic movements that follow and dwelling finally on more recent decades.

Let us now give some thought to the soul.

Let us see just how typical Krim is.

Let us prepare for peace, instead of for a war which would mean the end of civilization.

Let us have more benches and fewer forbidden areas around fountains and gardens.

Let us, like the French, have outdoor cafes where we may relax, converse at leisure and enjoy the passing crowd.

Let us suppose the Russians decide to build a rail-mobile ICBM force.

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 us not try to key them out at this stage of the game, and let us just call them Bombus.

Let us speculate a little on the maximum size of the anaconda.

Let us put Af.

Let us look at the operator Af.

Let us now regard D as a linear operator on the subspace V.

Let us now put some flesh on the theoretical bones we have assembled by giving illustrations of roleplaying used for evaluation and analysis.

Let us assume that Af is identical to the form of an occurrence Af which preceded Af in the text.

Let us also assume the existence of only one class or type of service, all of which is supplied at the same voltage, phase, etc. to residential, commercial, and industrial customers.

Let us therefore consider each of the three types of cost in turn, recognizing that this simplified classification is used only for illustrative purposes ; ;

Let us work through an example, and the simpler and commoner the better.

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 and we

Let us put to ourselves the hypothesis that we had not come on the scene and that the rabbit never was discovered.

Let us suppose that the animal did not in fact fall into the trap and did not suffer at all, but that we mistakenly believe it did, and say as before that its suffering was an evil thing.

The introduction, " Let us pray for the whole state of Christ's Church militant here in earth " remained unaltered and only a thanksgiving for those " departed this life in thy faith and fear " was inserted to introduce the petition that the congregation might be " given grace so to follow their good examples that with them we may be partakers of thy heavenly kingdom ".

Let G be a set and let "~" denote an equivalence relation over G. Then we can form a groupoid representing this equivalence relation as follows.

Let us not expect security while we are on pilgrimage.

Let φ be a formula of degree k + 1 ; then we can write it as

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

Another notable ( and defiant ) phrase in the speech was also spoken in German, " Lass ' sie nach Berlin kommen " (" Let them come to Berlin ")-- addressed at those who claimed " we can work with the Communists ", a remark which Nikita Khrushchev scoffed at only days later.

Let ( A i ) i ∈ I be a family of groups and suppose we have a family of homomorphisms f ij : A j → A i for all i ≤ j ( note the order ) with the following properties:

Let n denote a complete set of ( discrete ) quantum numbers for specifying single-particle states ( for example, for the particle in a box problem we can take n to be the quantized wave vector of the wavefunction.

... Let the tears of agony we have shed, and the gloom of mourning throughout my command bear witness.

He replied " Let them ... whilst they knock down villages, we are taking cities ; when we come back, we shall have all the more strength to fight them.

" We figured we could win if our offense didn't put us into too many holes ", said 35-year old Colts lineman Billy Ray Smith, who was playing in his last NFL game, " Let me put it this way, they didn't put us into any holes we couldn't get out of "

If V is a real vector space, then we replace V by its complexification V ⊗ R C and let g denote the induced bilinear form on V ⊗ R C. Let W be a maximal isotropic subspace, i. e. a maximal subspace of V such that g | W = 0.

In a dedication ceremony, Assistant Secretary of the Department of the Interior John Berry stated, " Let it forever be remembered that here — on this spot — men and women stood proud, they stood fast, so that we may be who we are, we may work where we will, live where we choose and love whom our hearts desire.

There is also a quote etched in the marble of the chamber, as stated by venerable statesman Daniel Webster: " Let us develop the resources of our land, call forth its powers, build up its institutions, promote all its great interests, and see whether we also, in our day and generation, may not perform something worthy to be remembered.

Let and defined

Let P F be the domain of a prefix-free universal computable function F. The constant Ω F is then defined as

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 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 r be a non zero real number and let the r th power mean ( M r ) of a series of real variables ( a 1 , a 2 , a 3 , ... ) be defined as

Let P be the following property of partial functions F of one argument: P ( F ) means that F is defined for the argument ' 1 '.

Let H be a Hilbert space, and let H * denote its dual space, consisting of all continuous linear functionals from H into the field R or C. If x is an element of H, then the function φ x , defined by

Let P ( α ) be a property defined for all ordinals α.

Grant's 1868 campaign slogan, " Let us have peace ," defined his motivation and assured his success.

Let f ( x ) and g ( x ) be two functions defined on some subset of the real numbers.

Let be an open subset of the complex plane, a point of and a holomorphic function defined on the set.

Let E be the set of real numbers that can be defined by a finite number of words.

Let there be a set of differentiable fields φ defined over all space and time ; for example, the temperature T ( x, t ) would be representative of such a field, being a number defined at every place and time.

Let ( X, Σ, μ ) be a measure space, and let f be an extended real-valued measurable function defined on X.

Let ( M, d ) be a metric space, namely a set M with a metric ( distance function ) d. The open ( metric ) ball of radius r > 0 centered at a point p in M, usually denoted by B r ( p ) or B ( p ; r ), is defined by

Let V be the variety defined in the 3-dimensional space by the equations

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 x = x ( u, v, w ), y = y ( u, v, w ), z = z ( u, v, w ) be defined and smooth in a domain containing, and let these equations define the mapping of into.

Let M be a model and a, b, c indices from M. An implication is defined

A multiplication operator is defined as follows: Let be a countably additive measure space and f a real-valued measurable function on X.

Let P n denote the vector space of real-valued polynomial functions of degree ≤ n defined on an interval.

Let the circle be defined by its center at p 2 =( x c , y c ), with radius.

Let C be a positively oriented, piecewise smooth, simple closed curve in the plane 2 , and let D be the region bounded by C. If L and M are functions of ( x, y ) defined on an open region containing D and have continuous partial derivatives there, then

4.207 seconds.