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Page "hobbies" ¶ 82
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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 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 suppose
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.
Let us focus on an atom of calcium from the tip of the bone of my finger and let us suppose that I swallow a magic Alice In Wonderland growing pill.
Let us suppose ( as is the practical case ) that the star is sufficiently distant that all light from the star travels in parallel paths to the Earth observer, regardless of where the Earth is in its orbit.
Let ( A < sub > i </ sub >)< sub > i ∈ I </ sub > be a family of groups and suppose we have a family of homomorphisms f < sub > ij </ sub >: A < sub > j </ sub > → A < sub > i </ sub > for all i ≤ j ( note the order ) with the following properties:
In his Commentary on Daniel, he noted, “ Let us not follow the opinion of some commentators and suppose him to be either the Devil or some demon, but rather, one of the human race, in whom Satan will wholly take up his residence in bodily form .” In interpreting 2 Thessalonians's claim that the Antichrist will sit in God's temple, Jerome preferred the view that the " temple " should be interpreted as the Church, not as the Temple in Jerusalem.
Let us suppose now that there is at least a positive solution, and let be the minimal one.
Let us suppose that L is a complete lattice and let f be a monotonic function from L into L. Then, any x ′ such that f ′( x ′) ≤ x ′ is an abstraction of the least fixed-point of f, which exists, according to the Knaster – Tarski theorem.
Let A be an observable of the system, and suppose the ensemble is in a mixed state such that each of the pure states occurs with probability p < sub > j </ sub >.
* "' Let me not suppose that she dares go about, Emma Woodhouse-ing me!
Let U be a measurable subset of R < sup > n </ sup > and φ: U → R < sup > n </ sup > an injective function, and suppose for every x in U there exists < span > φ '</ span >( x ) in R < sup > n, n </ sup > such that φ ( y ) = φ ( x ) + < span > φ '</ span >( x ) ( y − x ) + o (|| y − x ||) as y → x.
Let V be a finite-dimensional vector space over some field K and suppose T: V → V is a linear map.
Let f = uv and suppose u and v are positive functions of x.
Let us suppose also that a choice of positive roots Φ < sup >+</ sup > has been fixed.
Let us suppose we have a point positive charge of a certain true
Let X be the wedge sum of two spaces K and L, and suppose furthermore that the identified basepoint is a deformation retract of open neighborhoods U ⊂ K and V ⊂ L. Letting A
Let φ: M → N be a smooth map between ( smooth ) manifolds M and N, and suppose f: N → R is a smooth function on N. Then the pullback of f by φ is the smooth function φ < sup >*</ sup > f on M defined by
Let be an observable, and suppose that it has discrete eigenstates ( in bra-ket notation ) for and corresponding eigenvalues, no two of which are equal.
Let be an observable, and suppose that it has a continuous spectrum of eigenvalues filling the interval ( a, b ).
* K ( X, Y ) is a closed subspace of B ( X, Y ): Let T < sub > n </ sub >, n ∈ N, be a sequence of compact operators from one Banach space to the other, and suppose that T < sub > n </ sub > converges to T with respect to the operator norm.
Let be a random sample from the distribution where the mean is known, and suppose that we wish to test for against.
Theorem ( Calvin Richard Putnam ) Let T, M, N be linear operators on a complex Hilbert space, and suppose that M and N are normal and MT
Let e =( e < sub > α </ sub >)< sub > α = 1, 2 ,..., k </ sub > be a local frame on E. This frame can be used to express locally any section of E. For suppose that ξ is a local section, defined over the same open set as the frame e, then
This identity is derived from the divergence theorem applied to the vector field: Let φ and ψ be scalar functions defined on some region U in R < sup > 3 </ sup >, and suppose that φ is twice continuously differentiable, and ψ is once continuously differentiable.
Let the spiritually illiterate suppose what they may, it was the Jewish denial and rejection of the Holy One of Israel, whom their fathers worshiped in the beauty of holiness, that has made them a hiss and a byword in all nations and that has taken millions of their fair sons and daughters to untimely graves.

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