`` For instance, regarding the fact that the Gross Committee issued two interim announcements to the press during its investigation.

For instance, college-educated people consistently show up in study after study as more often than others supporters of the Bill of Rights and other democratic rights and liberties.

For instance, so-called `` conservative '' organizations, some of them secret, are sprouting in the garden of joining where `` liberal '' organizations once took root.

For instance -- what about all those people Harold Rhodes went toward unhesitatingly, as if this were the one moment they would ever have together, their one chance of knowing each other??

For instance, a site adjoining other publicly owned lands, such as a national forest or a public road, may be desirable, whereas a site next to an industrial plant might not.

( For instance, see Example 2 of Section 5-5, on red cards in hands of 5.

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.

For instance, in giving school grades or in making recommendations for the award of a college scholarship, does he consciously or unconsciously favor students of one or another social class??

For instance, there have been two Presidential Commissions on higher education since World War 2.

For instance, the dreamer sees himself seated behind neighbor Smith and, with photographic realism, sees Smith driving the car ; ;

For instance:

`` For instance, Djakarta, Indonesia, has three groups of dancers interested in coming here.

For instance, the Edwin Pauleys Jr., formerly of Chantilly Rd., are now at home on North Arden Dr. in Beverly Hills.

For instance, we cannot know whether even for church members the degree of conformity to Christian standards of morality increased or declined as the proportion of church members in the population rose.

`` For instance, Hesperus agreed to help me find my property, and I agreed to take him to Earth.

For instance, a C-Leg knee alone is not a prosthesis, but only a prosthetic part.

For instance, the word " bank " has several distinct lexical definitions, including " financial institution " and " edge of a river ".

For instance, a local society in the middle of a large city may have regular meetings with speakers, focusing less on observing the night sky if the membership is less able to observe due to factors such as light pollution.

For instance, according to Classical Arabic and Modern Standard Arabic, the Arabic root ( to sacrifice ) can be derived the forms ( he sacrificed ), ( you ( masculine singular ) sacrificed ), ( he slaughtered ), ( he slaughters ), and ( slaughterhouse ).

For instance, we read of Whiting, the last abbot of Glastonbury, judicially murdered by Henry VIII, that his house was a kind of well-ordered court, where as many as 300 sons of noblemen and gentlemen, who had been sent to him for virtuous education, had been brought up, besides others of a lesser rank, whom he fitted for the universities.

For instance, the n

For instance, in 51, Agrippina ordered the execution of Britannicus ’ tutor Sosibius because he had confronted her and was outraged by Claudius ’ adoption of Nero and his choice of Nero as successor, instead of choosing his own son Britannicus.

For instance, antibacterial resistance genes can be exchanged between different bacterial strains or species via plasmids that carry these resistance genes.

For instance, iron changes from a body-centered cubic structure ( ferrite ) to a face-centered cubic structure ( austenite ) above 906 ° C, and tin undergoes a transformation known as tin pest from a metallic phase to a semiconductor phase below 13. 2 ° C.

For instance member nations of the Commonwealth where English is not spoken natively, such as India, often closely follow British English forms, while many American English usages are followed in other countries which have been historically influenced by the United States, such as the Philippines.

< imagemap > File: 2nd millennium montage. png | From left, clockwise: In 1492, Christopher Columbus ; The American Revolution ; The French Revolution ; The Atomic Bomb from World War II ; An alternate source of light, the Light Bulb ; For the first time, a human being sets foot on the moon in 1969 during the Apollo 11 moon mission ; Aeroplanes become the most-used way of transport though the skies ; Napoleon Bonaparte, in the early 19th century, affects France and Europe on subjects of expansionism and modernization ; Alexander Graham Bell's telephone ; In 1348, the Black Death kills over 100 million people worldwide, and over half of Europe, in two years.

For a hidden variable theory, if Bell's conditions are correct, then the results which are in agreement with quantum mechanical theory appear to evidence superluminal effects, in contradiction to the principle of locality.

For the rest of the war, Bell's Marietta plant concentrated on producing B-29s, producing 668 of them by the time contract expired in the fall of 1945.

For weeks thereafter, callers would express their sadness and sympathy for Art Bell to George Noory, who had taken Art Bell's place weekdays in 2002.

For example, if these models are not grounded in Hilbert spaces and probabilities, they belong to the class of theories with local hidden variables that some deem ruled out experimentally using Bell's theorem.

For many years he held court in Sandy Bell's Bar, the meeting place for local and visiting folk musicians.

New vocalist in place, Persian Risk issued the now highly collectible Calling For You b / w Chase the Dragon 7 " in 1981 before sacking Dave Bell's replacement, Alex Lohfink, and soldiering on as a four-piece.

For his work reading Ted Bell's international thriller " Assassin ," Shea received an Audie Award-nomination as " Best Male Narrator.

** Tarski's theorem: For every infinite set A, there is a bijective map between the sets A and A × A.

For example, the prime number theorem states that the number of prime numbers less than or equal to N is asymptotically equal to N / ln N. Therefore the proportion of prime integers is roughly 1 / ln N, which tends to 0.

For a first order predicate calculus, with no (" proper ") axioms, Gödel's completeness theorem states that the theorems ( provable statements ) are exactly the logically valid well-formed formulas, so identifying valid formulas is recursively enumerable: given unbounded resources, any valid formula can eventually be proven.

* The Ham sandwich theorem: For any compact sets A < sub > 1 </ sub >,..., A < sub > n </ sub > in ℝ < sup > n </ sup > we can always find a hyperplane dividing each of them into two subsets of equal measure.

For a binomial involving subtraction, the theorem can be applied as long as the opposite of the second term is used.

For positive values of a and b, the binomial theorem with n = 2 is the geometrically evident fact that a square of side can be cut into a square of side a, a square of side b, and two rectangles with sides a and b. With n = 3, the theorem states that a cube of side can be cut into a cube of side a, a cube of side b, three a × a × b rectangular boxes, and three a × b × b rectangular boxes.

For a certain class of Green functions coming from solutions of integral equations, Schmidt had shown that a property analogous to the Arzelà – Ascoli theorem held in the sense of mean convergence — or convergence in what would later be dubbed a Hilbert space.

( For groups of low 2-rank the proof of this breaks down, because theorems such as the signalizer functor theorem only work for groups with elementary abelian subgroups of rank at least 3.

For example, in most systems of logic ( but not in intuitionistic logic ) Peirce's law ((( P → Q )→ P )→ P ) is a theorem.

: For the theorem of propositional logic which expresses Disjunction elimination, see Case analysis.

For the special case, this implies that the length of a vector is preserved as well — this is just Parseval's theorem:

For systems where the volume is preserved by the flow, Poincaré discovered the recurrence theorem: Assume the phase space has a finite Liouville volume and let F be a phase space volume-preserving map and A a subset of the phase space.

For example, both the Egyptians and the Babylonians were aware of versions of the Pythagorean theorem about 1500 years before Pythagoras ; the Egyptians had a correct formula for the volume of a frustum of a square pyramid ;

For instance, if we impose some requirements on a distribution f, we can attempt to translate these requirements in terms of the Fourier transform of f. The Paley – Wiener theorem is an example of this.

For compact groups, the Peter – Weyl theorem explains how one may get harmonics by choosing one irreducible representation out of each equivalence class of representations.

For a discussion of the name " Mittag-Leffler " in its relation with the Mittag-Leffler theorem, see this thread on MathOverflow.

For instance, Fermat's little theorem for the nonzero integers modulo a prime generalizes to Euler's theorem for the invertible numbers modulo any nonzero integer, which generalizes to Lagrange's theorem for finite groups.

For a closely related theorem see the Bing metrization theorem.

For instance, in Heyting arithmetic, one can prove that for any proposition p which does not contain quantifiers, is a theorem ( where x, y, z ... are the free variables in the proposition p ).

For, in 1823, Abel had at last proved the impossibility of solving the quintic equation in radicals ( now referred to as the Abel – Ruffini theorem ).

: For the theorem of propositional logic based on the same concept, see double negation.