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Completeness and if
* Completeness: if the string is in the language, the prover must be able to give a certificate such that the verifier will accept with probability at least 2 / 3 ( depending on the verifier's random choices ).
# Completeness: if the statement is true, the honest verifier ( that is, one following the protocol properly ) will be convinced of this fact by an honest prover.

Completeness and statement
# Completeness: any statement is either provable or refutable ( i. e. its negation is provable ).

Completeness and is
* Completeness – all actions can be ranked in an order of preference ( indifference between two or more is possible ).
Completeness and accuracy is described by the weakest apparent magnitude V ( largest number ) and the accuracy of the positions.
; Completeness: The design must cover as many important situations as is practical.
; Completeness: The design must cover as many important situations as is practical.
* ( Completeness ) Every universally valid second-order formula, under standard semantics, is provable.
Completeness of the market is also important because in an incomplete market there are a multitude of possible prices for an asset corresponding to different risk-neutral measures.
Completeness is a common property of market models ( for instance the Black – Scholes model ).
" The Gelukpa allow that it is possible to take the mind itself as the object of meditation, however, Zahler reports, the Gelukpa discourage it with " what seems to be thinly disguised sectarian polemics against the Nyingma Great Completeness and Kagyu Great Seal meditations.

Completeness and true
Completeness states that all true sentences are provable.
* Completeness: a proof that all true mathematical statements can be proved in the formalism.

Completeness and one
It says that one who hears its reading will attain Ultimate Completeness, and one who abuses it will be sentenced to Hell.

Completeness and protocol
* MPC Java-based implementation A Java-based implementation of the MPC protocol based on Michael. B, Shafi. G and Avi. W's theorem (" Completeness theorems for non-cryptographic fault-tolerant distributed computation ") with Welch-Berlekamp error correcting code algorithm to BCH codes.

Completeness and will
Completeness seems to be at the center of shalom as we will see in the meaning of the term itself, in some derivatives from its root, shalam, in some examples of its uses in Jewish and Christian Scriptures, and in some homophone terms from other Semitic languages.

Completeness and be
Completeness can be sacrificed in favor of any other quality.

Completeness and by
Completeness of first-order logic was first explicitly established by Gödel, though some of the main results were contained in earlier work of Skolem.
This was quickly followed by a French translation, in which Hilbert added V. 2, the Completeness Axiom.
* V. 2, the Axiom of Completeness, has been replaced by:
Tsogyel, though fairly obviously a transformation of an older Bön figure, Bönmo Tso ( female Bön practitioner of the lake ), whom she debates in her " autobiography ", also preserves the Great Completeness traditions shared by Bön with Tibet's earliest Buddhist tradition.

Completeness and .
Completeness and accuracy of recall in the diffusion of the news from a newspaper vs a television source.
Two of Kripke's earlier works, A Completeness Theorem in Modal Logic and Semantical Considerations on Modal Logic, the former written while he was still a teenager, were on the subject of modal logic.
" A Completeness Theorem in Modal Logic ", Journal of Symbolic Logic 24 ( 1 ): 1 – 14.
" Another Approach: The Church-Turing ' Thesis ' as a Special Corollary of Gödel's Completeness Theorem ," in Computability: Gödel, Turing, Church, and beyond, Copeland, B. J., Posy, C., and Shagrir, O.
The Completeness theorem establishes an equivalence in first-order logic, between the formal provability of a formula, and its truth in all possible models.
The word Dzogchen has been translated variously as Great Perfection, Great Completeness, Total Completeness, and Supercompleteness.
* Lawrence Solum, Default Rules and Completeness, Legal Theory Lexicon.
* Lawrence Solum, Default Rules and Completeness, Legal Theory Lexicon.
" The Completeness of the First-Order Functional Calculus ", Journal of Symbolic Logic.
" Completeness in the theory of types ", Journal of Symbolic Logic 15: 81 – 91.

if and statement
You must attach a statement to your return, if you take advantage of this automatic extension, showing that you were in Alaska or were outside the United States or Puerto Rico on April 15 or other due date.
Within certain wide limits anatomy dictates function and, if one is permitted to speculate, potential pathology should be included in this statement as well.
For instance, the following statement was rated low in compulsivity, `` She's naturally quite neat about things, but it doesn't bother her at all if her room gets messy.
And the more complex the morphophonemic system is in relation to the phonemic base, the less easily a phonemic system will be analysed without close attention to the morphophonemics -- at least, the less satisfying will a phonemic statement be if it cannot be related through morphophonemic rules to grammatically meaningful structures.
In many cases that statement -- `` We break even on our downtown operation and make money on our branches '' -- would be turned around if the cost analysis were recalculated on terms less prejudicial to the old store.
If he is not told which of four or five readings was meant for him, he can more readily assess each item in a larger frame: `` Does that statement really sound as if it were for me, significant in my particular life??
After reading his statement discharging the 23d ward case, Karns told Wexler that if the seven cases scheduled for trial also involved persons who had been subpenaed, he would dismiss them.
The statement explained that under the Georgia Constitution and state law, tax-exempt status is granted to educational institutions only if they are segregated.
Compare this statement of a nineteenth-century judge with how Congressman Martin, according to the Daily Labor Report of Sept. 19, 1961, defends the necessity of enacting anti-trust legislation in the field of labor `` if we wish to prevent monopolistic fixing of wages, production or prices and if we wish to preserve the freedom of the employer and his employees to contract on wages, hours and conditions of employment ''.
the startling statement in a respectable periodical that `` Catholics, if the present system is still in operation, will constitute almost one-third of the House of Lords in the next generation '' ; ;
B attempts to falsify A's conditional statement (" if Republican then against gun control ") by providing evidence he believes would contradict its implication.
However, the opposite can also be true-An opponent can turn a positive statement into a bad one, if the speaker uses ambiguity ( intentionally or not ).
Thus, intuitionists are ready to accept a statement of the form " P or Q " as true only if we can prove P or if we can prove Q:
In the statement < code >< u > if </ u > token = if < u > then </ u > < u > result </ u >
Using the above theorem it is easy to see that the original Borsuk Ulam statement is correct since if we take a map f: S < sup > n </ sup > → ℝ < sup > n </ sup > that does not equalize on any antipodes then we can construct a map g: S < sup > n </ sup > → S < sup > n-1 </ sup > by the formula
In this case, if a proof uses this statement, researchers will often look for a new proof that doesn't require the hypothesis ( in the same way that it is desirable that statements in Euclidean geometry be proved using only the axioms of neutral geometry, i. e. no parallel postulate.
If the ideals A and B of R are coprime, then AB = A ∩ B ; furthermore, if C is a third ideal such that A contains BC, then A contains C. The Chinese remainder theorem is an important statement about coprime ideals.
Ike's sense of responsibility was underscored by his draft of a statement to be issued if the invasion failed ; it has been called one of the great speeches of history:
It is the inference that if a statement implies a statement and a statement also implies, then if either or is true, then has to be true.

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