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Finally, the theorem says that
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Finally and theorem
Finally, it is a basic tool for proving theorems in modern number theory, such as Lagrange's four-square theorem and the fundamental theorem of arithmetic ( unique factorization ).
# Finally we prove the theorem for sentences of that form.
Finally, Anatoly Ivanovich Maltsev ( Анато ́ лий Ива ́ нович Ма ́ льцев, 1936 ) proved the Löwenheim – Skolem theorem in its full generality.
Finally, subsequent to the proof of the strong perfect graph theorem, a polynomial time algorithm was discovered by Chudnovsky, Cornuéjols, Liu, Seymour, and Vušković.
Finally they state the theorem, which is some dumb thing about the ball which isn't true for my hairy green ball thing, so I say, ' False!
Finally there is another link that should be mentioned: Kirchhoff's theorem relates the number of spanning trees of a graph G to the eigenvalues of the discrete Laplacian.
Finally and says
Finally petitioner says that he was entitled to inspect the FBI report during the proceedings before the hearing officer as well as at the trial.
He even says, “ I was in love with love .” Finally, he does fall in love and is loved back, by God.
Finally, when Stabler says he can't hurt his partner, Rook calls him a human being and tells him that his partner was never in any actual danger.
Finally he says " Let us meet together.
Finally Helen says, " But you must, Jim.
Finally, exasperated, Jerry removes his wig and says in his male voice, " I'm a man!
Finally, and most famously, he says: " However, it is according to the dictates of time and fate that We have resolved to pave the way for a grand peace for all the generations to come by enduring the unendurable and suffering what is unsufferable.
However, because of the third rule which says, " Finally, if i is odd and also the last node at level 1 then do not promote.
Finally says that the treatise was submitted to some men of learning to know their difficulties and objections, and are answered at the end of it.
Finally, in an essay called Origin of a Hero discussing his novel the Rector of Justin, author Louis Auchincloss says the main character was not based on a headmaster ; certainly not as was often speculated Groton's famous Endicott Peabody.
Finally we meet in the middle, we hug, and he says to me, " You know, you're the only comic who's ever had the nerve to make fun of my crippled walk.
Finally, if Dick commits a tenth infraction, Donatti says, placing a gun on his desk, Dick would become part of " the unregenerate two percent.
Finally, as O ’ Hanlan says, the porous borders of Iraq and the subsequent foreign insurgents also bolstered the insurgency.
Finally, Bayes calls his play a “ Touch-stone ,” and says he will be able to judge the character of any man by observing his reaction to the play.
Finally, Vathek reaches Istakhar, where he finds more swords with writing on them, which says " Thou hast violated the conditions of my parchment, and deserve to be sent back, but in favor to thy companion, and as the meed for what thou hast done to obtain it, Eblis permitted that the portal of this place will receive thee ” ( 108 ).
Finally, Pope says that Cibber's offenses are compounded by the outlandishness of his claims.
Finally Meg says something that Jack seems to agree to, and he leaves to " go home and check it out ".
* In Big Sean's album Finally Famous, in his song " Dance ( Ass )", he says " Drop that ass, make it boomerang / Take my belt off, bitch I'm Pootie Tang.
Finally she buckles and says she'll talk to Sid tonight.
Finally he says " Hello?
Finally, asked what the chief had said, the laconic Potts shrugged and replied, " He says he's damned glad you're here.
Finally, in 1934, he was elected as an MLA ( later styled MPP ) for Hamilton ( the Legislative Assembly site says the riding was Hamilton Wentworth, but other sources say Hamilton West ).
Finally when Kathy calls Buffy spoiled and says " It's share time now ", Buffy goes to the fridge, takes Kathy's marked milk and gulps it until its flowing freely out of her mouth all over the floor.
Finally Carr argued that in the conversations between Stresemann and the Soviet Foreign Commissar Georgy Chicherin, Stresemann does most of the talking and says all of the intelligent and original things, leading Carr to suggest that Stresemann himself had edited the papers to place himself in the best possible light.
theorem and says
The theorem says that, among algorithms that decode strings from their descriptions ( codes ), there exists an optimal one.
Informally, the theorem says that the curvature of a surface can be determined entirely by measuring angles and distances on the surface.
The reason why Euler and some other authors relate the Cauchy – Riemann equations with analyticity is that a major theorem in complex analysis says that holomorphic functions are analytic and viceversa.
The Baire category theorem says that every complete metric space is a Baire space.
The rectification theorem says that away from singular points the dynamics of a point in a small patch is a straight line.
The completeness theorem says that if a formula is logically valid then there is a finite deduction ( a formal proof ) of the formula.
Gödel's completeness theorem says that a deductive system of first-order predicate calculus is " complete " in the sense that no additional inference rules are required to prove all the logically valid formulas.
The simplest version of this theorem that suffices in practice for most needs, and has connections with the Löwenheim-Skolem theorem, says:
The compactness theorem says that if a formula φ is a logical consequence of a ( possibly infinite ) set of formulas Γ then it is a logical consequence of a finite subset of Γ.
Roughly speaking, Shannon's source coding theorem says that a lossless compression scheme cannot compress messages, on average, to have more than one bit of information per bit of message.
When transaction costs are low, the Coase theorem says that the political marketplace ( the decisions of the legislatures ) will allocate resources to the highest valued point ( Coase 1960 ).
The unique factorization theorem says that every positive integer greater than 1 can be written in only one way as a product of prime numbers.
The cut-elimination theorem for a calculus says that every proof involving Cut can be transformed ( generally, by a constructive method ) into a proof without Cut, and hence that Cut is admissible.
Normal play Nim ( or more precisely the system of nimbers ) is fundamental to the Sprague-Grundy theorem, which essentially says that in normal play every impartial game is equivalent to a Nim heap that yields the same outcome when played in parallel with other normal play impartial games ( see disjunctive sum ).
* Similarly, cloning would violate the no teleportation theorem, which says classical teleportation ( not to be confused with entanglement-assisted teleportation ) is impossible.
The first result in that direction is the prime number theorem, proven at the end of the 19th century, which says that the probability that a given, randomly chosen number is prime is inversely proportional to its number of digits, or the logarithm of n.
A normal form theorem due to Kleene says that for each k there are primitive recursive functions and such that for any μ-recursive function with k free variables there is an e such that
Stokes ' theorem says that the integral of a differential form ω over the boundary of some orientable manifold Ω is equal to the integral of its exterior derivative dω over the whole of Ω, i. e.
* The Hahn – Banach theorem says ( among other things ) that distinct elements of a Banach space can be proved to be distinct using only linear functionals.
If f ( x ) is a real-valued function and a and b are numbers with, then the mean value theorem says that under mild hypotheses, the slope between the two points ( a, f ( a )) and ( b, f ( b )) is equal to the slope of the tangent line to f at some point c between a and b. In other words,
Fermat's little theorem states that if p is a prime number, then for any integer a, the number a < sup > p </ sup > − a is an integer multiple of p. In the notation of modular arithmetic, this says
Lagrange's theorem says k must divide φ ( n ), i. e. there is an integer M such that kM
This invokes a refinement of the maximum power theorem, which says that any reactive components of source and load should be of equal magnitude but opposite phase.
A theorem by Nash-Williams says that every < span class =" texhtml " >< var > k </ var ></ span >‑ regular graph on < span class =" texhtml " > 2 < var > k </ var > + 1 </ span > vertices has a Hamiltonian cycle.
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