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case and if
Just as in the case of every prodigy child, we must watch for the efficacy of my teaching to show up in the future -- if he should master all the strenuous exercises I inflicted on him.
We can be virtuous only if we control our lower natures, the passions in this case, and strengthen our rational side ; ;
But if she were just having a normal case of pre-nuptial jitters such a question might frighten her out of a really good marriage.
But if true, it was the case of which he had dreamed, the case which would throw him into headlines all over America as the hero of a great murder trial.
But if this is the case, then an arbitrary pencil of lines having a point, P, of **zg as vertex is transformed into a ruled surface of order Af having Af generators concurrent at P.
For if such were the case, either the plane of the two lines would meet **zg in more than K points or, alternatively, the order of the image regulus of the pencil determined by the two lines would be too high.
We now observe that the case in which **zg is a Af curve on a quadric is impossible if the complex of singular lines consists exclusively of the lines which meet Aj.
If anyone asked us, after we made the remark that the suffering was a bad thing, whether we should think it relevant to what we said to learn that the incident had never occurred and no pain had been suffered at all, we should say that it made all the difference in the world, that what we were asserting to be bad was precisely the suffering we thought had occurred back there, that if this had not occurred, there was nothing left to be bad, and that our assertion was in that case mistaken.
In the specific case of time diffusion, we must emphasize the significance of the earlier development of mistrust when it is combined with the inevitable time crisis experienced by most ( if not all ) adolescents in our society, and with the failure of the adolescent period to provide opportunities for developing trust.
William A. Redding asserted that if the case had been heard in open court under rules of evidence, the testimony would have been completed in sixty days instead of five years.
One of the A.L.A.M. lawyers observed that if the Selden case had been tried under this simplified procedure, the testimony which filled more than a score of volumes, `` at a minimum cost of $1 a page for publication alone, could have been contained in one volume ''.
`` What this amounts to, if true, is that there will be a free-for-all fight in this case.
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.
He asked members of the panel to tell him if anyone outside the court had spoken to them about the case.
Thus, if what is at issue is whether `` All S is P '', it is indifferent whether `` Some S is not P '' or `` No S is P '', since in either case the judgment in question is false.
In any case, though they had been promised immortality if they ate of the tree, they obtained mortality instead.
Presumably, if the reverse is the case and the good effect is more certain than the evil result that may be forthcoming, not only must the good and the evil be prudentially weighed and found proportionate, but also calculation of the probabilities and of the degree of certainty or uncertainty in the good or evil effect must be taken into account.
A simple illustration of such cause and effect is the case of experiencing the effects of what I cause: if I cause suffering, then as a natural consequence I will experience suffering ; if I cause happiness, then as a natural consequence I will experience happiness.
This might be the proper standard of review, for example, if the lower court resolved the case by granting a pre-trial motion to dismiss or motion for summary judgment which is usually based only upon written submissions to the trial court and not on any trial testimony.
The first function is assumed, if the expression in the argument contains more characters or, than characters, and the second function is assumed in the opposite case.
In many cases such a selection can be made without invoking the axiom of choice ; this is in particular the case if the number of bins is finite, or if a selection rule is available: a distinguishing property that happens to hold for exactly one object in each bin.
In that case it is equivalent to saying that if we have several ( a finite number of ) boxes, each containing at least one item, then we can choose exactly one item from each box.

case and proof
The reader will find it helpful to think of the special case when the primes are of degree 1, and even more particularly, to think of the proof of Theorem 10, a special case of this theorem.
In the notation of the proof of Theorem 12, let us take a look at the special case in which the minimal polynomial for T is a product of first-degree polynomials, i.e., the case in which each Af is of the form Af.
For the frequent case of propositional logic, the problem is decidable but Co-NP-complete, and hence only exponential-time algorithms are believed to exist for general proof tasks.
More recently, both Elms and librarian Lee Weinstein have gathered circumstantial evidence to support the case for Linebarger's being " Allen ," but both concede there is no direct proof that Linebarger was ever a patient of Lindner's or that he suffered from a disorder similar to that of " Kirk Allen.
The completed proof of the classification was announced by after Aschbacher and Smith published a 1221 page proof for the missing quasithin case.
Indeed, following, suppose ƒ is a complex function defined in an open set Ω ⊂ C. Then, writing for every z ∈ Ω, one can also regard Ω as an open subset of R < sup > 2 </ sup >, and ƒ as a function of two real variables x and y, which maps Ω ⊂ R < sup > 2 </ sup > to C. We consider the Cauchy – Riemann equations at z = 0 assuming ƒ ( z ) = 0, just for notational simplicity – the proof is identical in general case.
In propositional logic, disjunction elimination ( sometimes named proof by cases or case analysis ), is the valid argument form and rule of inference that allows one to eliminate a disjunctive statement from a logical proof.
Gödel's original proof of the theorem proceeded by reducing the problem to a special case for formulas in a certain syntactic form, and then handling this form with an ad hoc argument.
proved the theorem ( for the special case of polynomial rings over a field ) in the course of his proof of finite generation of rings of invariants.
The extension ψ is in general not uniquely specified by φ, and the proof gives no explicit method as to how to find ψ: in the case of an infinite dimensional space V, it depends on Zorn's lemma, one formulation of the axiom of choice.
However, there is a body of case law governing the civil commitment of individuals under the Fourteenth Amendment through U. S. Supreme Court rulings beginning with Addington v. Texas in 1979 which set the bar for involuntary commitment for treatment by raising the burden of proof required to commit persons from the usual civil burden of proof of " preponderance of the evidence " to the higher standard of " clear and convincing " evidence.
' In the second case, he cites an example that demonstrates ignorance of statistical principles in the lay press: ' Since no such proof is possible genetically modified food is harmless, the article in The New York Times was what is called a " bad rap " against the U. S. Department of Agriculture-a bad rap based on a junk-science belief that it's possible to prove a null hypothesis.
This might come in the form of a proof that the number in question is in fact irrational ( or rational, as the case may be ); or a finite algorithm that could determine whether the number is rational or not.
In the case of seL4, complete formal verification of the implementation has been achieved, i. e. a mathematical proof that the kernel's implementation is consistent with its formal specification.
It is widely believed that ( 1 ) is the case, although no proof as to the truth of either statement has yet been discovered.
In most legal proceedings, one party has a burden of proof, which requires it to present prima facie evidence for all of the essential facts in its case.
Rules of evidence govern whether, when, how, and for what purpose, proof of a legal case may be placed before a trier of fact for consideration.
Boehm claimed to have cured gay people in the fourth part of his series on homosexuality, but presented as proof a case in which “ the homosexuality never became conscious for the patient and had never expressed itself in manifest activity .” This patient does not appear to have been homosexual.

case and uses
simple case uses one-way ( a single
The ablative case has 15 uses, descending from three Proto-Indo-European cases: ablative ( from ), instrumental ( with ), and locative ( in / at ).
In Armenian, the ablative case has several uses.
There is also a U. S. Supreme Court case that predates the dictionary, Jackson ex dem Bradford v. Huntington, that uses the phrase " black letter " in the same sense as black letter law: " It is seldom that a case in our time savors so much of the black letter, but the course of decisions in New York renders it unavailable.
In the latter case, or if a nation-state uses it clandestinely, it may also be considered bioterrorism.
BRP is similar to other generic systems such as GURPS, Hero System or Savage Worlds in that it uses a simple resolution method which can be broadly applied, in this case an attempt to roll under a certain number with percentile dice.
To execute an instruction in a computer program, the CPU uses the opcode for that instruction as well as its arguments ( for instance the two numbers to be added, in the case of an addition operation ).
Braille, like Baudot, uses a number symbol and a shift symbol, which may be repeated for shift lock, to fit numbers and upper case into the 31 codes that 6 bits offer.
The common FAT file system can have multiple files whose names differ only in case if the user uses a disk editor to edit the file names in the directory entries.
# Telstar Gemini ( 1978 ): Four pinball games and two light-gun games in color, light gun, two flipper buttons on left and right sides of case, pinball launch button and field adjustment sliders on top, light gun, uses a MOS Technology MPS 7600-004 chip.
:* Asturian uses( lower case ḷ ), and Ḥ ( lower case ḥ )
Fortune's Algorithm uses a sweepline technique to achieve O ( n log n ) runtime in the planar case.
It often marks a noun as being the possessor of another noun ; however, it can also indicate various other relationships than possession: certain verbs may take arguments in the genitive case, and it may have adverbial uses ( see Adverbial genitive ).
Modern English typically does not morphologically mark nouns for a genitive case in order to indicate a genitive construction ; instead, it uses either the
It also uses classes from the Java Abstract Window Toolkit ( AWT ) for producing actual output ( in this case, the " Hello, world!
A further exception occurs in the case of those counties created after 1994 which often drop the word county entirely, or use it after the name ; thus for example internet search engines show many more uses ( on Irish sites ) of " Fingal " than of either " County Fingal " or " Fingal County ".
Justin uses material from the Synoptic Gospels ( Matthew, Mark, and Luke ) in the composition of the First Apology and the Dialogue, either directly, as in the case of Matthew, or indirectly through the use of a gospel harmony, which may have been composed by Justin or his school.
Being a lookahead parser by definition, it always uses a lookahead, with LALR ( 1 ) being the most common case.
In Haskell syntax, "" prepends an element to a list, returns a list without its first element, and uses a specified function ( in this case addition ) to combine corresponding elements of two lists to produce a third.
This study uses horizontally landing, bent biconic shaped modules, and relies on solar power and chemical propulsion throughout, where Mars Direct and the DRMs used nuclear reactors for surface power and, in the case of the DRMs for propulsion as well.
The various uses of ḥuzn and hüzün thus describe melancholy from a certain vantage point, show similarities with female hysteria in the case of Avicenna's patient and in a religious context it is not unlike sloth, which by Dante was defined as " failure to love God with all one's heart, all one's mind and all one's soul ".
" In the former case, one uses " note " to refer to a specific musical event ; in the latter, one uses the term to refer to a class of events sharing the same pitch.

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