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Page "Limit superior and limit inferior" ¶ 11
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If and terms
He added, `` If this doesn't work out, the three of you barricade yourself in the house and talk terms with them ''.
If Mrs. Wright doesn't accept the terms in the morning, I'll go either to Tokyo or to Holland, to do what I can.
If we stop thinking in terms of tremendous multimegaton nuclear weapons and consider employing much smaller nuclear weapons which may be more appropriate for most important military targets, it would seem that the B-52 or B-70 could carry a great many small nuclear weapons.
If we have not thought and made a decision entirely in these terms, then we need to submit ourselves to the following `` simple test '': `` Have we decided how we are to kill the other members of our household in the event of our being less injured than they are ''??
If we neglect higher than first order terms in the fluctuations, the mass balance equation becomes
Immanuel Kant, writing in 1790, observes of a man " If he says that canary wine is agreeable he is quite content if someone else corrects his terms and reminds him to say instead: It is agreeable to me ," because " Everyone has his own ( sense of ) taste ".
If one picks optimally ( in terms of the achieved speed-up ) what to improve, then one will see monotonically decreasing improvements as one improves.
If we define tangent covectors in terms of equivalence classes of smooth maps vanishing at a point then the definition of the pullback is even more straightforward.
If at most one of the two terms in ( 2 ) is infinite, then ( 1 ) is the same as ( 2 ).
If it is the fraction of impinging atoms getting through the foil which is measured, the result can still be expressed in terms of the equivalent stopping cross section of the atoms.
If F ( r ) represents gravity, it is a negative term proportional to 1 / r < sup > 2 </ sup >, so the net acceleration in r in the rotating frame depends on a difference of reciprocal square and reciprocal cube terms, which are in balance in a circular orbit but otherwise typically not.
If we write an n-by-n matrix in terms of its column vectors
If we are to specify this doctor's normality in sensory terms, we must make reference to a second doctor who, when inspecting the sense organs of the first doctor, would himself have to have the sense data a normal observer has when inspecting the sense organs of a subject who is a normal observer.
* If there is no data dependency between two pure expressions, then their order can be reversed, or they can be performed in parallel and they cannot interfere with one another ( in other terms, the evaluation of any pure expression is thread-safe ).
If the species concerned were short-lived ( in geological terms, lasting a few hundred thousand years ), then it is certain that the sediments in question were deposited within that narrow time period.
If some of the units in the fold are facing downward, the structure is called an overturned anticline or syncline, and if all of the rock units are overturned or the correct up-direction is unknown, they are simply called by the most general terms, antiforms and synforms.
If the arguments are both greater than zero then the algorithm can be written in more elementary terms as follows:
If it is a derivative work, then the program's terms must allow for " modification for the customer's own use and reverse engineering for debugging such modifications.
The historian Kelly DeVries describes the period preceding her appearance in the following terms: " If anything could have discouraged her, the state of France in 1429 should have.
If one takes the experimentally observed flow around an airfoil as a starting point, then lift can be explained in terms of pressures using Bernoulli's principle and conservation of mass.
Since counter-clockwise may be defined in terms of up, forward, and right, this experiment unambiguously differentiates left from right using only natural elements: If they were reversed, or the atoms spun clockwise, the radiation would follow the spin axis instead of being opposite to it.
If this is the case, there are no observation terms.
If Prout's hypothesis had proven accurate, then the abstract concept of mass, as we now know it, might never have evolved, since mass could always be defined in terms of amounts of the hydrogen atomic mass.
Larry Laudan has suggested pseudoscience has no scientific meaning and is mostly used to describe our emotions: " If we would stand up and be counted on the side of reason, we ought to drop terms like ' pseudo-science ' and ' unscientific ' from our vocabulary ; they are just hollow phrases which do only emotive work for us ".
If the changed terms do not satisfy the court, then it shall return the case to the prosecution.

If and sequence
If, in preparing that shot for the inevitable showing to your friends, you interrupt the sequence to paste in a few frames of the child's grandmother watching this event, you have begun to be an artist in film ; ;
If the method is applied to an infinite sequence ( X < sub > i </ sub >: i ∈ ω ) of nonempty sets, a function is obtained at each finite stage, but there is no stage at which a choice function for the entire family is constructed, and no " limiting " choice function can be constructed, in general, in ZF without the axiom of choice.
If the mutated sequence is present in the patient's genome, the probe will bind to it and flag the mutation.
If the convention B < sub > 1 </ sub >=− is used, this sequence is also known as the first Bernoulli numbers ( / in OEIS ); with the convention B < sub > 1 </ sub >=+ is known as the second Bernoulli numbers ( / in OEIS ).
If a cabal can be implicated in a sequence of events, there is always the hope, however tenuous, of being able to break the cabal's power – or joining it and exercising some of that power oneself.
* If is the norm ( usually noted as ) defined in the square-summable sequence space ℓ < sup > 2 </ sup > ( which also matches the usual distance in a continuous and isotropic cartesian space ), then
* If is the norm ( usually noted as ) defined in the sequence space ℓ < sup >∞</ sup > of all bounded sequences ( which also matches the non-linear distance measured as the maximum of distances measured on projections into the base subspaces, without requiring the space to be isotropic or even just linear, but only continuous, such norm being definable on all Banach spaces ), and is lower triangular non-singular ( i. e., ) then
This is a Cauchy sequence of rational numbers, but it does not converge towards any rational limit: If the sequence did have a limit x, then necessarily x < sup > 2 </ sup > = 2, yet no rational number has this property.
If the expression that defines the DFT is evaluated for all integers k instead of just for, then the resulting infinite sequence is a periodic extension of the DFT, periodic with period N.
If so, it is unclear how much Tatian may have borrowed from this previous author in determining his own narrative sequence of Gospel elements.
If shots are taken out of sequence, as is often the case, he will be alert to make sure that that beer glass is in the appropriate state.
) If a set is finite, its elements may be written as a sequence:
If the DNA sequence at a particular locus varies between individuals, the different forms of this sequence are called alleles.
If an equation can be put into the form f ( x ) = x, and a solution x is an attractive fixed point of the function f, then one may begin with a point x < sub > 1 </ sub > in the basin of attraction of x, and let x < sub > n + 1 </ sub > = f ( x < sub > n </ sub >) for n ≥ 1, and the sequence
If there were a single intron within this sequence, it would look something like this:
A measure μ is countably subadditive: If E < sub > 1 </ sub >, E < sub > 2 </ sub >, E < sub > 3 </ sub >, … is a countable sequence of sets in Σ, not necessarily disjoint, then
If there are four alternative symbols ( corresponding to a musical instrument that can generate four different tones, one at a time ), the first symbol may represent the bit sequence 00, the second 01, the third 10 and the fourth 11.
If an individual coin toss or the roll of dice is considered to be a random event, then if repeated many times the sequence of random events will exhibit certain patterns, which can be studied and predicted.
* « If the same plain text sequence is given to disparate rendering processes, there is no expectation that rendered text in each instance should have the same appearance.
If 10 of those mutants are viable genotypes that may reproduce ( and some of whose offspring or grandchilden may mutate back into AGGT again ), we would consider that sequence a well-connected node in the cloud.
If instead only two of those mutants are viable, the rest being lethal mutations, then that sequence is poorly connected and most of its descendants will not reproduce.
If the mutation rate is zero, there is no exchange by mutation, and each sequence is its own species.
If W is irreducible then each type can, through a sequence of mutations ( i. e. powers of W ) mutate into all the other types.

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