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Page "Merkle–Hellman knapsack cryptosystem" ¶ 5
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Then and using
Then, dividing the units of energy ( such as eV ) by a fundamental constant that has units of velocity ( M < sup > 0 </ sup > L < sup > 1 </ sup > T < sup >-1 </ sup >), facilitates the required conversion of using energy units to describe momentum.
Then, using the periodic Bernoulli function P < sub > n </ sub > defined above and repeating the argument on the interval, one can obtain an expression of ƒ ( 1 ).
Then the preparer grinds the coffee using a traditional tool called a mokecha.
Then, using an electronic design automation tool, a technology-mapped netlist is generated.
Then, using back-substitution, each unknown can be solved for.
Then it would be that by recursion ( using the axiom of countable choice ) that a sequence of polynomials could be found so that, letting of minimal degree.
Then, in 1915, William Henry Bragg and William Lawrence Bragg, a British father-son pair, shared this Nobel Prize for their discoveries in the reverse problem-determining the structure of crystals using X-rays.
Then, on paper, they bought $ 200 worth of each, for a total bet of $ 1, 000, using the prices on September 29, 1980, as an index.
Then Socrates goes on to demonstrate the contrary of the commonly accepted part using the law of noncontradiction.
" Then the novel tells a story of boys trying to grow mandrake using hanged archbishop's semen.
Then, using information in its routing table or routing policy, it directs the packet to the next network on its journey.
Then Merlin, using " gear " and skill, easily dismantled the stones and sent them over to Britain, where Stonehenge was dedicated.
Then execute using or.
⟨ H ⟩, be the group generated by H. Then the word problem in H < sup >*</ sup > is solvable: given two words h, k in the generators H of H < sup >*</ sup >, write them as words in X and compare them using the solution to the word problem in G. It is easy to think that this demonstrates a uniform solution the word problem for the class K ( say ) of finitely generated groups that can be embedded in G. If this were the case the non-existence of a universal solvable word problem group would follow easily from Boone-Rogers.
Then the trace of the identity matrix is the dimension of the space ; this leads to generalizations of dimension using trace.
Then burr holes are created into the patient ’ s skull using a drill.
Then, thus by T, which means w R w using the definition of.
Then, in August 1497, James laid siege to Norham Castle, using his father's bombard Mons Meg.
Then write a review without using any of the following words: " Progressive rock ", " Genesis ", " Fish ", " heavy metal ", " dinosaurs ", " predictable ", " concept album ".
Then, using physical arguments, one derives a suitable " fundamental volume " for the particular system to reflect the fact that quantum mechanical microstates are discretely distributed on the phase space.
Examples: William Faulkner in A Rose for Emily ( Faulkner was an avid experimenter in using unusual points of view-see his Spotted Horses, told in third person plural ); Frank B. Gilbreth and Ernestine Gilbreth Carey in Cheaper By the Dozen ; Frederik Pohl in Man Plus ; and more recently, Jeffrey Eugenides in his novel The Virgin Suicides and Joshua Ferris in Then We Came to the End.
Then, using his fingers, he takes some of the blessed oil floating on the surface of the baptismal water and anoints the catechumen on the forehead, breast, shoulders, ears, hands and feet.
Then, detailed study was undertaken to determine the painting's original form, using scientific tests ( especially infrared reflectoscopy and microscopic core-samples ), and original cartoons preserved in the Royal Library at Windsor Castle.

Then and simple
Then the required information is collected from a simple random sample of the elements within each selected group.
However, this simple model ends with the bandwidth of the network: Then congestion comes on the network and not with the peers.
The algorithm for deciding this is conceptually simple: it constructs ( the description of ) a new program t taking an argument n which ( 1 ) first executes program a on input i ( both a and i being hard-coded into the definition of t ), and ( 2 ) then returns the square of n. If a ( i ) runs forever, then t will never get to step ( 2 ), regardless of n. Then clearly, t is a function for computing squares if and only if step ( 1 ) terminates.
Then simple random sampling or systematic sampling is applied within each stratum.
Then the nerve layers identify simple shapes, such as bright points surrounded by dark points, edges, and movement.
Then he defined it for more complicated functions as the least upper bound of all the integrals of simple functions smaller than the function in question.
Then, the presiding officer makes a formal, but simple statement to the House, acquainting each House that the Royal Assent has been granted to the acts mentioned.
Then, combined with the wage Phillips curve 1 and the assumption made above about the trend behavior of money wages 2, this price-inflation equation gives us a simple expectations-augmented price Phillips curve:
Then P diagonalizes A, as a simple computation confirms:
Then it was compressed using a simple run-length encoding scheme and sent down to the ground at 200 bit / s.
Then the integral in Mercer's theorem reduces to a simple summation
Then, in 1978, the company joined the generics movement with the introduction of 16 " No Name " items, marketed in simple black and yellow packaging but otherwise devoid of any branding.
Then the first railroad connecting Puerto Cortes with San Pedro Sula was developed in the 1880s, reducing Omoa to a simple backwater fishing village.
Then they were asked immediately to perform a simple task and a difficult task and their performance in both tasks were assessed.
Then the intersection number of two closed curves on X has a simple definition in terms of an integral.
Then g has a transcendental branch point if z < sub > 0 </ sub > is an essential singularity of g such that analytic continuation of a function element once around some simple closed curve surrounding the point z < sub > 0 </ sub > produces a different function element.
Suppose that R is an algebra over the field C of complex numbers and M = N is a finite-dimensional simple module over R. Then Schur's lemma says that the endomorphism ring of the module M is a division ring ; this division ring contains C in its center, is finite-dimensional over C and is therefore equal to C. Thus the endomorphism ring of the module M is " as small as possible ".
Then is totally unimodular if and only if every simple arbitrarily-oriented cycle in consists of alternating forwards and backwards arcs.
Then, all the animating forces of the state are vigorous and simple, and its principles are clear and luminous ; it has no incompatible or conflicting interests ; the common good makes itself so manifestly evident that only common sense is needed to discern it.
Then, the Schrödinger equation takes the simple form:
Suppose that c is a simple closed curve in a closed, orientable surface S. Let A be a tubular neighborhood of c. Then A is an annulus and so is homeomorphic to the Cartesian product of
Then, the population ate a simple fish stew known in Greek as ' kakavia.
Then, it moves on to a simple chromatic theme, and then back to the opening theme.
Then followed a period of decline: the spa lost its drive and popularity, and degraded to a simple political meeting point, by 1800 already.

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