Help


[permalink] [id link]
+
Page "Perturbation theory (quantum mechanics)" ¶ 106
from Wikipedia
Edit
Promote Demote Fragment Fix

Some Related Sentences

We and will
We, in our country, think of war as an external threat which, if it occurs, will not be primarily of our own doing.
We will recall that the still confident liberals of the Truman administration gathered with other Western utopians in San Francisco to set up the legal framework, finally and at last, to rationalize war -- to rationalize want and fear -- out of the world: the United Nations.
We therefore leave the writer to the enjoyment of the unenvied reputation which the personal abuse he has heaped on us will entitle him to from the low and vulgar herd to which he belongs ''.
We hope that he will execute it in a manner that will entitle him to credit ''.
We may further grant to those of her ( Poetry's ) defenders who are lovers of poetry and yet not poets, the permission to speak in prose on her behalf: let them show not only that she is pleasant but also useful to States and to human life, and we will listen in a kindly spirit ; ;
We veterans acknowledge the fact that as time passes the demand for medical care at VA hospitals will grow proportionately as age fosters illness.
We feel that The Detroit News is to be complimented upon arranging for articles on these subjects and we hope that it will continue to provide material along wholesome lines.
We will know, and He will know, to whom it is rendered, what the birds would ask:
We now have to think not only of our national security but also of the future generations who will suffer from any tests we might undertake.
We welcome this able brief for the negative as part of a many-sided discussion of the Atlantic Common Market which JNR will be continuing in our pages.
We will have righteousness ''!!
We will not yield to the demands of Bern ''!!
We all seek the same thing through different ways -- an end to this long night of two thousand years of darkness and unspeakable abuses which will continue to plague us until the Star of David flies over Zion ''.
We must ask ourselves which of the two alternatives will help the commuter -- the two-way B. & O. - C. & O. merger, or the three-way New York Central - B. & O. - C. & O. merger.
We should hope that peace corps projects will be truly international and that our citizens will find themselves working alongside citizens of the host country and also volunteers from other lands.
We are initiating research on the use of solid state materials for infrared detection using a method which will not require cooling of materials to attain high sensitivity.
We will then occupy the new plant under lease, with an option to purchase.
We believe that these improved facilities will contribute income and effect savings which will fully justify the investment.
`` We, the Subscribers, do agree, that as soon as a convenient Number of Persons have subscribed to this, or a similar Writing, We will present a petition to the Hon'ble General Court of the Commonwealth of Massachusetts, praying for an Act incorporating into a Body politic the subscribers to such Writing with Liberty to build such a Bridge, and a Right to demand a Toll equal to that received at Malden Bridge, and on like Terms, and if such an Act shall be obtained, then we severally agree each with the others, that we will hold in the said Bridge the several shares set against our respective Names, the whole into two hundred shares being divided, and that we will pay such sums of Money at such Times and in such Manners, as by the said proposed Corporation, shall be directed and required ''.

We and drop
We can drop the accessibility clause from the latter stipulation because it is trivially true of all S5 frames that w R v.
We drop the t < sub > 0 </ sub > index in the time evolution operator with the convention that and write it as U ( t ).
There is more intergenerational mobility in Australia, Sweden, Norway, Finland, Germany, Spain, France, and Canada than in th U. S. In fact, of affluent countries studied, only Britain and Italy have lower intergenerational mobility than the United States does ( and they are basically even with the U. S .) We know less about the long-term mobility of the top 1 percent, but all indications are that people in this rarefied group usually don ’ t drop very far down the ladder.
We then see Malik and Deja walking at the Peace Fest, with Malik saying he wouldn't drop out because he'd lose her.
When he complained Stengel reportedly leaned over to his first baseman and said, " We was gonna give you a piece but we was afraid you'd drop it!
" Fabius let the fold drop and proclaimed " We give you war.
" Added to the letter was a declaration by the boys in Gloucester's army: " We, your Majesty's subjects, will stand by you while we have a drop of blood.
We weren ’ t going to drop the ball now ,” said Kowalczyk.
" Warner then told the Beach Boys to drop what the company perceived as the weakest track, " We Got Love ," and replace it with the Wilson-Parks tune.
" and " We will drop her first " instead of " Can you drop me off?
" and " We will drop her off first ".

We and 0
We list the elements of A effectively, n < sub > 0 </ sub >, n < sub > 1 </ sub >, n < sub > 2 </ sub >, n < sub > 3 </ sub >, ...
Indeed, following, suppose ƒ is a complex function defined in an open set Ω ⊂ C. Then, writing for every z ∈ Ω, one can also regard Ω as an open subset of R < sup > 2 </ sup >, and ƒ as a function of two real variables x and y, which maps Ω ⊂ R < sup > 2 </ sup > to C. We consider the Cauchy – Riemann equations at z = 0 assuming ƒ ( z ) = 0, just for notational simplicity – the proof is identical in general case.
We note that y = 0 is not allowed in the transformed equation.
We are interested in the following set of continuous functions called loops with base point x < sub > 0 </ sub >.
There is in fact no complex number z for which, and hence the reciprocal gamma function is an entire function, with zeros at z = 0, − 1, − 2 ,.... We see that the gamma function has a local minimum at where it attains the value.
where ω is implicitly a function of k. We assume that the wave packet α is almost monochromatic, so that A ( k ) is nonzero only in the vicinity of a central wavenumber k < sub > 0 </ sub >.
If ƒ is complex differentiable at every point z < sub > 0 </ sub > in an open set U, we say that ƒ is holomorphic on U. We say that ƒ is holomorphic at the point z < sub > 0 </ sub > if it is holomorphic on some neighborhood of z < sub > 0 </ sub >.
* We are allowed to " multiply inequalities with positive elements ": If a ≤ b and 0 ≤ c, then ac ≤ bc.
We see that p times the integer quantity in parentheses equals − a < sub > 0 </ sub > q < sup > n </ sup >, so p divides a < sub > 0 </ sub > q < sup > n </ sup >.
We make two observations: ( a ) is a linear combination of vectors in the row space of, which implies that belongs to the row space of, and ( b ) since = 0, is orthogonal to every row vector of and, hence, is orthogonal to every vector in the row space of.
We wanted to find 2 × 7, but instead we calculated ( 2 / 10 )× 7 = 0. 2x7 = 1. 4.
To make things completely formal, the Cauchy sequences definition of R allows us to define +∞ as the set of all sequences of rationals which, for any K > 0, from some point on exceed K. We can define −∞ similarly.
# We know from calculus that 0 ∈ C ( R ) ⊂ R < sup > R </ sup >.
* We may give R < sup > N </ sup > the I-adic topology, where I = ( X ) is the ideal generated by X, which consists of all sequences whose first term a < sub > 0 </ sub > is zero.
We arbitrarily assign these the values 1 through 26 for the letters, and 0 for '#'.
We say that the number x is a periodic point of period m if f < sup > m </ sup >( x ) = x ( where f < sup > m </ sup > denotes the composition of m copies of f ) and having least period m if furthermore f < sup > k </ sup >( x ) ≠ x for all 0 < k < m. We are interested in the possible periods of periodic points of f. Consider the following ordering of the positive integers:
We have W < sub > 0 </ sub >( 0 )
The recent Wilkinson Microwave Anisotropy Probe ( WMAP ) measurements have led NASA to state, " We now know that the universe is flat with only a 0. 5 % margin of error.
We can interpret the first case as a rotation by θ ( where θ = 0 is the identity ), and the second as a reflection across a line at an angle of θ / 2.

1.638 seconds.