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Page "Lenstra elliptic curve factorization" ¶ 23
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We and can
He swung round to the other men -- `` We can catch him easy!!
We can soon tell ''.
`` We can get it if we dig '', he said patiently.
`` We can boil it '', he said.
We have staved off a war and, since our behavior has involved all these elements, we can only keep adding to our ritual without daring to abandon any part of it, since we have not the slightest notion which parts are effective.
We assume for this illustration that the size of the land plots is so great that the distance between dwellings is greater than the voice can carry and that most of the communication is between nearest neighbors only, as shown in Figure 2.
We hear equally fervent concern over the belief that we have not enough generalists who can see the over-all picture and combine our national skills and knowledge for useful purposes.
We can also argue that the three brothers Karamazov and Smerdyakov were the external representatives of an internal conflict within one man, Dostoevsky, a conflict having to do with father-murder and the wish to possess the father's woman.
We feel uncomfortable at being bossed by a corporation or a union or a television set, but until we have some knowledge about these phenomena and what they are doing to us, we can hardly learn to control them.
We must avoid the notion, suggested to some people by examples such as those just mentioned, that ideas are `` units '' in some way comparable to coins or counters that can be passed intact from one group of people to another or even, for that matter, from one individual to another.
We can conceive of no alternatives.
We can be virtuous only if we control our lower natures, the passions in this case, and strengthen our rational side ; ;
We must, first of all, be willing to forgive others before we can secure God's forgiveness.
We don't think she can make her child defective, emotionally disturbed or autistic.
We can attack Tshombe, but not Gigenza.
We can force Britain and France out of the Suez, but we cannot so much as try to force the Russian tanks back from Budapest.
We can mass our fleet against the Trujillos, but not against the Castros.
We can vote in the UN against South African apartheid or Portuguese rule in Angola, but we cannot even introduce a motion on the Berlin Wall -- much less, give the simple order to push the Wall down.
We can expect more of the same.
We can help in the planning process
We can no longer rely on interdepartmental machinery `` somewhere upstairs '' to resolve differences between this and other departments.
We must determine whether missiles can win a war all by themselves.
We have developed an ingenious method of interlocking these so that you can make the major part of your house in your own workshop, panel by panel, according to plan.
We gently usher them to an island of tables and chairs strategically placed on the far side of the pool where they can amuse each other until we get ready to merge sides.
We found that three men -- two carpenters and a helper -- can put up wall panels or trusses more economically than four men -- because four men don't make two teams ; ;

We and similarly
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 simply construct the equaliser of two morphisms f and g as the kernel of their difference g − f ; similarly, their coequaliser is the cokernel of their difference.
We can similarly ask, " how much space is contained in a meter?
We can similarly approximate the gravity field of the Earth by a spherically symmetric field:
Such economic conditions prompted Lange to remark: " We ended up being run very similarly to a Polish shipyard ".
The title comes from Abraham Lincoln's " Gettysburg Address " and appears to have no relation to Ayn Rand's similarly titled We the Living ( published in 1936 ).
We can similarly calculate that the average piano tuner performs
The Cambodian Head of State, Prince Sihanouk, has similarly offered to help ... We invite the Government of the United States to present evidence or cause it to be presented ... Our purpose is to establish, without fear or favour, the full truth about this war.
He was similarly unimpressed with Simon MacCorkindale noting that,We had him in Beasts playing an idiot and he was very good at that ”.
Moreover, Dougherty rightly points out that the data in the US Department of Defense source were casualties, not deaths alone ... We wanted to show that the three sources all similarly pointed to an escalating conflict.
* " We Are 138 ", the Misfits song similarly about a dystopian future where the question is asked, " Is it time to be an android not a man?
We can similarly describe the electric field E so that.
holds for all measurable sets A, B, C. We can define strong k-mixing similarly.
We define the divisor of a meromorphic 1-form similarly.
We must similarly recognize that within our actual experience the factors we distinguish are more massively intangible, more mutually incompatible and more insistent than they can appear as translated into reflective speech.

We and compute
We can use ƒ and g together to compute as close a rational approximation as we like to the real number they represent.
We can compute the saturation intensity as
We are asked to compute the ratio of female computer science majors to all computer science majors.
We first segment the data by the class, and then compute the mean and variance of in each class.
We may use the theorem to compute the Taylor series of at
< li > We will compute certain multiples ( k times ) of the point P using the standard addition rule on our elliptic curve: given two points P, Q on the curve, their sum can be computed using the formulas given in the group law section of the article on elliptic curves.
We compute the partials on the right:
We must compute the determinant of
We can now compute the width of a button.
We can also compute the width of a.
We now have enough relations to compute the polynomials of all the links we've encountered, and can use the above equations in reverse order to work up to the cinquefoil knot itself:
We can compute it here using integration by parts.
We then compute the density of the sum of three independent variables, each having the above density.
We apply G to this sequence, chop off the last term, and compute homology to get L < sub > i </ sub > G ( X ).
We may compute &# 8472 ; very rapidly in terms of theta functions ; because these converge so quickly, this is a more expeditious way of computing
* We only know an upper bound on the error ( i. e., ε ≤ V ( f ) D < sub > N </ sub >) and it is difficult to compute and.
We can then stop doing exponentiation, and compute
We then compute various features describing each example ( e. g., does the phrase begin with an upper-case letter ?).
We can compute the likelihood ratio to find the key statistic in this test and its effect on the test's outcome:
We compute the singular cohomology of X with coefficients in R := Z < sub > 2 </ sub >.
We can thus compute the smallest index i such that ( x < sub > i </ sub >) ≥ y as follows:
We then have values for the hyperparameters of the approximating distributions of the posterior parameters, which we can use to compute any properties we want of the posterior — e. g. its mean and variance, a 95 % highest-density region ( the smallest interval that includes 95 % of the total probability ), etc.
Imagine now that the forces and stresses in the-State undergo the displacements and deformations in the-State: We can compute the total virtual ( imaginary ) work done by all forces acting on the faces of all cubes in two different ways:
We can compute the number of labeled spanning trees of this kite with the Matrix-Tree Theorem.

1.240 seconds.