Help


[permalink] [id link]
+
Page "2-satisfiability" ¶ 68
from Wikipedia
Edit
Promote Demote Fragment Fix

Some Related Sentences

Then and satisfying
It is frequently stated in the following equivalent form: Suppose that is continuous and that u is a real number satisfying or Then for some c ∈ b, f ( c ) = u.
Then there exists a finite set of integer coefficients satisfying the equation:
Then, there exists a constant satisfying: for every ground term in such that, there exists a context, a nontrivial context and a ground term such that and, for all.
Let v ∈ T < sub > p </ sub > M be a tangent vector to the manifold at p. Then there is a unique geodesic γ < sub > v </ sub > satisfying γ < sub > v </ sub >( 0 )
Then, the solutions are mutated and selected for those with higher fitness, until a satisfying solution has been found.
Then Muhammad himself set the stone in place, satisfying the honour of all of the clans.
Then the fusion of all objects satisfying φ exists.
Then, Δ < sub > C </ sub >( g, h ) is the number of elements k in G satisfying g k h < sup >− 1 </ sup > = k. This is equal to
Then a Toda field theory is the study of a function φ mapping 2 dimensional Minkowski space satisfying the corresponding Euler-Lagrange equations.
Then the transpose ( or dual ) of T is an operator satisfying:
Then the Walsh – Hadamard code is the function that maps every string into the string satisfying for every ( where denotes the th coordinate of, identifying with in some way ).

Then and instances
) There are also numerous instances where the killer is not brought to justice in the legal sense but instead dies ( death usually being presented as a more ' sympathetic ' outcome ), for example Death Comes as the End, And Then There Were None, Death on the Nile, Dumb Witness, The Murder of Roger Ackroyd, Crooked House, Appointment with Death, The Hollow, Nemesis, Cat Among the Pigeons, and The Secret Adversary.
Then suppose definition B contains 32 instances of A ; C contains 32 instances of B ; D contains 32 instances of C ; and E contains 32 instances of D. The design now contains 5 definitions ( A through E ) and 128 instances.
There are no indications of dance music, accompanying instrumental figures or the like, except in three instances: Lucy's " Is Then His Fate Decree'd Sir " – one measure of descending scale marked " Viol.
Then, if we can show that every instance of the old problem can be solved easily by transforming it into instances of the new problem and solving those, we have a contradiction.
We replace all instances of j in the tables with i. Then, we fill in all possible entries of the tables, possibly leading to more deductions and coincidences.
Then the behavior of the system in the neighborhood of each equilibrium point can be qualitatively determined, ( or even quantitatively determined, in some instances, by finding the eigenvector ( s ) associated with each eigenvalue ).

Then and resulting
Then the copper is passed through an electro-winning process to increase its purity: An electric current is passed through the resulting solution of copper ions.
Then on 21 December 1987, the FDN launched attacks at La Bonanza, La Siuna, and La Rosita in Zelaya province, resulting in heavy fighting.
Then the quotient space X /~ can be naturally identified with a torus: take a square piece of paper, bend and glue together the upper and lower edge to form a cylinder, then bend the resulting cylinder so as to glue together its two open ends, resulting in a torus.
Then strike in the direction of their shinai, or at the suki resulting from their composure's collapse.
For f a real polynomial in x, and for any a in such an algebra define f ( a ) to be the element of the algebra resulting from the obvious substitution of a into f. Then for any two such polynomials f and g, we have that ( fg ) ( a )
Then, an innocuous covertext is modified in some way so as to contain the ciphertext, resulting in the stegotext.
Then, as and when each party communicates a bit to the other, the number of choices for the answer reduces as this eliminates a set of rows / columns resulting in a submatrix of A.
Then, the original signal can be reconstructed by a suitable integration over all the resulting frequency components.
Then if we intersect each element of B with Y, the resulting collection of sets is a base for the subspace Y.
Then however Maniakes fell out with his Lombard allies, while his Norman mercenaries, unhappy with their pay, abandoned the Byzantine general and raised a revolt on the Italian mainland, resulting in the temporary loss of Bari.
Then he realised this is the difference between natural-form fruit trees and the process of change of tree form resulting from abandoning previously-pruned unnatural fruit trees.
Then while standing in front of a full-length mirror, he committed suicide by stabbing himself with a pair of sewing scissors seven times ( supposedly while surrounded by newspaper clippings of his career ), resulting in lurid press coverage.
Then another recession followed, resulting in a long period of decline that lasted well into the 19th century.
Then, in the 16th Century, families of German descent relocated from Brooklyn to what is now Massapequa Park, and the resulting community was known as Wurtenberg or Stadtwurtemburg.
Then, in the social stress resulting from the failure of the civilization, the bitterness and envy increase markedly.
Then, the parachute lines tangled and the landing rockets failed, resulting in a hard landing which broke Volynov's teeth.
Then many officers left to participate in parliament and the resulting shortage of officers forced Lantingshausen to return to Swedish Pomerania, where he remained for the whole winter without being attacked by the Prussians.
" Then, " all of a sudden the brightness started to decrease " and the resulting spectrum was normal.
Then one proves that if the theorem is true for pieces resulting from a cutting of a Haken manifold, that it is true for that Haken manifold.
Then, the next day, the nerds sneak into the football team's locker room and put industrial-strength liniment in the players ' athletic supporters, resulting in a painful and humiliating football practice.
When found it can conclude, or infer, the consequent ( Then clause ), resulting in the addition of new information to its data.
Then, every second frame has one of its fields duplicated, resulting in three fields.
Then, your subconscious mind takes over, resulting in a blueprint.

Then and formula
Then the formula
Then we could have written a formula of degree k which is equivalent to φ, namely.
Then the following formula is an axiom:
Then the formula Cold ( r )→ High ( t ) is true for any t and therefore any t gives a correct control given r. A rigorous logical justification of fuzzy control is given in Hájek's book ( see Chapter 7 ) where fuzzy control is represented as a theory of Hájek's basic logic.
Then, the correct formula for work function is:
Then, by Euler's formula,
Then that formula must be copied into all of the cells in column C, making sure to change the reference to A1 to a new reference for A2, etc.
Then if " Total Sales " view is added to the workbook, the totals would automatically appear there, because the sheet " knows " that is what the formula is for.
Then in 1913, using this formula as a basis, Albert Einstein and Otto Stern published a paper of great significance in which they suggested for the first time the existence of a residual energy that all oscillators have at absolute zero.
Then by the triple-angle formula, and so.
Then X is defined by the formula so X is in ( actually it is in as well since we could bound both quantifiers by n ).
Then the formula is:
Then, using the formula, the asymptotic behavior can be determined as follows:
Then the Black formula states the price for a European call option of maturity T on a futures contract with strike price K and delivery date T ( with ) is
Then we recursively define the truth of a formula in a model:
Then, the van der Pauw formula becomes
Then the final formula in (*) must be true, and φ is also true.
Then the formula
Then, using this Dirichlet series with Perron's formula, one obtains:
Then, Boltzmann's entropy formula gives for the probability distribution function, A = const.
Then, for example, taking the first option gives a formula for IsPrime ( n ) using Wilson's theorem:
Then Adam Pociej, Bishop of Vladimir, in his own name and that of the Ruthenian episcopate, read in Latin the formula of abjuration of the Greek Schism, Bishop Cyryl Terlecki of Lutsk read it in Ruthenian, and they affixed their signatures.
Then we apply the quadratic formula.
Then the Feynman – Kac formula tells us that the solution can be written as a conditional expectation

4.558 seconds.