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If and Y
If love reflects the nature of man, as Ortega Y Gasset believes, if the person in love betrays decisively what he is by his behavior in love, then the writers of the beat generation are creating a new literary genre.
If a detector was placed at a distance of 1 m, the ion flight times would be X and Y ns.
If X and Y are Banach spaces over the same ground field K, the set of all continuous K-linear maps T: XY is denoted by B ( X, Y ).
If there is a bounded linear operator from X onto Y, then Y is reflexive.
The tensor product XY from X and Y is a K-vector space Z with a bilinear function T: X × Y → Z which has the following universal property: If T ′: X × Y → Z ′ is any bilinear function into a K-vector space Z ′, then only one linear function f: Z → Z ′ with exists.
If the descent were truly unbroken, father-to-son, since Confucius's lifetime, the males in the family would all have the same Y chromosome as their direct male ancestor, with slight mutations due to the passage of time.
If, i. e., it has a large norm with each value of s, and if, then Y ( s ) is approximately equal to R ( s ) and the output closely tracks the reference input.
If ( x, y ) are the Cartesian coordinates of a point, then (− x, y ) are the coordinates of its reflection across the second coordinate axis ( the Y axis ), as if that line were a mirror.
If X < sub > k </ sub > and Y < sub > k </ sub > are the DFTs of x < sub > n </ sub > and y < sub > n </ sub > respectively then the Plancherel theorem states:
If f: XY morphism of pointed spaces, then every loop in X with base point x < sub > 0 </ sub > can be composed with f to yield a loop in Y with base point y < sub > 0 </ sub >.
If f: X < sub > 1 </ sub > → X < sub > 2 </ sub > and g: Y < sub > 1 </ sub > → Y < sub > 2 </ sub > are morphisms in C, then the group homomorphism Hom ( f, g ): Hom ( X < sub > 2 </ sub >, Y < sub > 1 </ sub >) → Hom ( X < sub > 1 </ sub >, Y < sub > 2 </ sub >) is given by φ g o φ o f.
If f: XY is a continuous map, x < sub > 0 </ sub > ∈ X and y < sub > 0 </ sub > ∈ Y with f ( x < sub > 0 </ sub >) = y < sub > 0 </ sub >, then every loop in X with base point x < sub > 0 </ sub > can be composed with f to yield a loop in Y with base point y < sub > 0 </ sub >.
If such a function exists, we say X and Y are homeomorphic.

If and didn't
( If a dragon or a sea monster came along, didn't he have a red Swiss hunting knife on his belt -- ten blades and a corkscrew??
" If that didn't work, Atkins would instruct Porter to turn the offending player down in the mix.
If he didn't meet Pitman, Severin points out that Defoe, upon submitting even a draft of a novel about a castaway to his publisher, would undoubtedly have learned about Pitman's book published by his father, especially since the interesting castaway had previously lodged with them at their former premises.
" If aliens visit us, the outcome would be much as when Columbus landed in America, which didn't turn out well for the Native Americans ", he said.
The awards ceremony is traditionally closed with the words: " If you didn't win a prize — and especially if you did — better luck next year!
If he knew about Whitacre's embezzlement for three years, Lieber asks, why didn't Andreas fire Whitacre immediately?
If found guilty, the person was thrown to a " devourer " and didn't share in eternal life.
He also has a simple definition for talent in writing: " If you wrote something for which someone sent you a check, if you cashed the check and it didn't bounce, and if you then paid the light bill with the money, I consider you talented.
In 2008, she told Ellen DeGeneres that " If it didn't have a drum beat, you can just forget about it!
" If I've ever had a magic moment in my life, it was popping that tape in ," said Jesperson, " I didn't even get through the first song before I thought my head was going to explode ".
If I wanted to direct, why, they'd give me a shot at it, and if it didn't come off all that well, they wouldn't be too disappointed as it was to be a very small picture.
If he flew them he was crazy and didn't have to ; but if he didn't want to he was sane and had to.
If we don't find the target, then we know it's in the block we didn't search.
If she had to look at one person with jealousy, and another with love, she didn't have to change her expression.
If he didn't, then the marriage would supposedly prove disastrous, so the Greeks would run about calling his name aloud.
If they had a hit song, they didn't want to play it under comic barnyard footage.
If I didn't, I'd be making $ 7 a week being one.
Even a teacher, though, is usually justified in saying, " If you didn't want to fail the quiz, then you should have done your homework instead of skateboarding / watching TV / etc.
If no response came from a particular address, the computer marked it dead and didn't bother polling it later.
Columbia studio executive John Veich remembered, " If we knew it was going to cost that much, we wouldn't have greenlighted it because we didn't have the money.
If I didn't stick with the Who, I would be a sheet metal worker for the rest of my life.
While his family didn't have much money, he said that he never felt poor because ," If you don't have something, you don't miss it.
While also being included in " and Bioshock 2 " with the songs of " If I didn't care " and " The Best Things in Life are Free " while Bioshock 2 included " We Three ( My Echo, My Shadow and Me )"-Ink Spots and " I'm Making Believe "-The Ink Spots ; Ella Fitzgerald ," Memories of You "-The Ink Spots, " Someone's Rocking My Dreamboat "-The Ink Spots, while others were included in " LA Noire " on the radio stations.
If it couldn't be counted, in other words, it didn't count.

If and exist
# If morality is objective and absolute, God must exist.
If this limit doesn't exist then there is no oblique asymptote in that direction.
If this limit fails to exist then there is no oblique asymptote in that direction, even should the limit defining m exist.
If he himself philosopher did not exist, he would not be there to ask questions about the nature of reality ... on the other hand, this fundamental fact, which we call existence, soon proves a rather barren topic for philosophic speculation ...
If this special relationship does not exist then it not usually spoken of as " backward " compatibility but is instead just " compatible "— a consistent interface allowing interoperability between components and products that were each developed separately.
If community exists, both freedom and security may exist as well.
If this is so, there would exist nothing that could bring anything into existence.
If is continuous in an open set Ω and the partial derivatives of ƒ with respect to x and y exist in Ω, and satisfies the Cauchy – Riemann equations throughout Ω, then ƒ is holomorphic ( and thus analytic ).
If the azeotrope is not considered sufficiently pure for use, there exist some techniques to break the azeotrope to give a pure distillate.
If multiple transiting planets exist in one system, then this method can be used to confirm their existence.
If Seimu did exist, there is no evidence to suggest that the title tennō was used during the time period to which his reign has been assigned.
If Chūai did exist, there is no evidence to suggest that the title tennō was used during the time period to which his reign has been assigned.
If differences exist, we can distinguish between the particles by measuring the relevant properties.
If a philosophy of Becoming is not possible without change, then ( the potential of ) what is to become must already exist in the present object.
If they did exist, both Gauss's law for magnetism and Faraday's law would need to be modified, and the resulting four equations would be fully symmetric under the interchange of electric and magnetic fields ; see magnetic monopoles for details.
If set up properly, sent mail can be saved to the server also, in contrast with POP mail, where sent messages exist only in the local MUA and are not visible by other MUAs accessing the same account.
If there were a large ( possibly infinite ) number of universes, each with possibly different physical laws ( or different fundamental physical constants ), some of these universes, even if very few, would have the combination of laws and fundamental parameters that are suitable for the development of matter, astronomical structures, elemental diversity, stars, and planets that can exist long enough for life to emerge and evolve.
If one cannot discern existence from its negation, then the concept of existence has no meaning ; or in other words, does not ' exist ' in any meaningful way.
If life exists at all on Mars, it is most likely to be located underground where liquid water can still exist.
# If he is omnipresent, where do I exist?
# If this God is timeless, does this God exist now?
If water-saturated zones still exist in sediments under the volcano, they would likely have been kept warm by a high geothermal gradient and residual heat from the volcano's magma chamber.
If F is a field and f and g are polynomials in F with g ≠ 0, then there exist unique polynomials q and r in F with
If the required font files do not exist on the machine where the SVG file is rendered, the text may not appear as intended.

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