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## Some Related Sentences

Conversely and f
Conversely, in functional code, the output value of a function depends only on the arguments that are input to the function, so calling a function f twice with the same value for an argument x will produce the same result f ( x ) both times.
Conversely, given a groupoid G in the algebraic sense, let G < sub > 0 </ sub > be the set of all elements of the form x * x < sup >− 1 </ sup > with x varying through G and define G ( x * x < sup >-1 </ sup >, y * y < sup >-1 </ sup >) as the set of all elements f such that y * y < sup >-1 </ sup > * f * x * x < sup >-1 </ sup > exists.
) Conversely, a critical point x of f can be analysed by considering the second derivative of f at x:
Conversely, any equation can take the canonical form f ( x ) = 0, so equation solving is the same thing as computing ( or finding ) a root of a function.
E is stationary around f. Conversely, if E is stationary
Conversely, if X is a Hausdorff space and ker f is a closed set, then the coimage of f, if given the quotient space topology, must also be a Hausdorff space.
If f is flat, then .< ref > EGA IV < sub > 2 </ sub >, Corollaire 6. 1. 2 .</ ref > Conversely, if this equality holds for all x, X is Cohen-Macaulay, and Y is regular, then f is flat .< ref > EGA IV < sub > 2 </ sub >, Proposition 6. 1. 5.
If X is reduced or normal at x, then Y is reduced or normal, respectively, at f ( x ).< ref > EGA IV < sub > 2 </ sub >, Proposition 2. 1. 13 .</ ref > Conversely, if f is also of finite presentation and f < sup >− 1 </ sup >( y ) is reduced or normal, respectively, at x, then X is reduced or normal, respectively, at x .< ref > EGA IV < sub > 3 </ sub >, Proposition 11. 3. 13 .</ ref >
Conversely, if Y is regular at f ( x ) and f < sup >− 1 </ sup >( f ( x )) is regular at x, then X is regular at x .< ref > EGA IV < sub > 2 </ sub >, Corollaire 6. 5. 2 .</ ref >
Conversely, if Y is normal at f ( x ) and f < sup >− 1 </ sup >( f ( x )) is normal at x, then X is normal at x .< ref > EGA IV < sub > 2 </ sub >, Corollaire 6. 5. 4 .</ ref >
Conversely if f ( z ) is a holomorphic function on the unit disc satisfying
Conversely, for real-valued functions f ( t ), the Hartley transform is given from the Fourier transform's real and imaginary parts:
Conversely if f is a homomorphism from G to K < sub > k </ sub >, then one can color G by using the same color for two vertices in G whenever they are both mapped to the same vertex in K < sub > k </ sub >.
Conversely, a rule of the form A ← f always fails regardless of input.

Conversely and can
Conversely, if a Boolean ring A is given, we can turn it into a Boolean algebra by defining x ∨ y := x + y + ( x · y ) and x ∧ y := x · y.
Conversely, in the English language as a whole, singular verb forms can often be used with nouns ending in "- s " that were once considered plural ( for example: " Physics is my favorite academic subject ").
Conversely, every point on the line can be interpreted as a number in an ordered continuum which includes the real numbers.
Conversely, existing DSN antennas can split time among more missions.
Conversely, non-spontaneous electrochemical reactions can be driven forward by the application of a current at sufficient voltage.
Conversely, badly managed food aid can create problems by disrupting local markets, depressing crop prices, and discouraging food production.
Conversely any planar graph can be formed from a map in this way.
Conversely, if the data are sparse — that is, if only K out of N Fourier coefficients are nonzero — then the complexity can be reduced to O ( K log N log ( N / K )), and this has been demonstrated to lead to practical speedups compared to an ordinary FFT for N / K > 32 in a large-N example ( N = 2 < sup > 22 </ sup >) using a probabilistic approximate algorithm ( which estimates the largest K coefficients to several decimal places ).
Conversely, when one wants to compute an arbitrary number ( N ) of discrete samples of one cycle of a continuous DTFT, it can be done by computing the relatively simple DFT of s < sub > N </ sub >, as defined above.
Conversely, rifle bullets can pierce light armor and are easier to shoot accurately, but even a carbine such as the Colt M4 is larger and / or longer than a submachine gun, making it harder to maneuver in close quarters.
Conversely, one might expect that inertial motions, once identified by observing the actual motions of bodies and making allowances for the external forces ( such as electromagnetism or friction ), can be used to define the geometry of space, as well as a time coordinate.
Conversely, languages that grammaticalise aspect can have tense as a secondary use of an aspect.
Conversely, a high pH, low CO < sub > 2 </ sub >, or low 2, 3 BPG favors the relaxed form which can better bind oxygen.
Conversely, a very severe bit, in the right hands, can transmit subtle commands that cause no pain to the horse.
Given a field ordering ≤ as in Def 1, the elements such that x ≥ 0 forms a positive cone of F. Conversely, given a positive cone P of F as in Def 2, one can associate a total ordering ≤< sub > P </ sub > by setting x ≤ y to mean y − x ∈ P. This total ordering ≤< sub > P </ sub > satisfies the properties of Def 1.
Conversely, every formally real field can be equipped with a compatible total order, that will turn it into an ordered field.
Conversely, if the odds of drawing a winning card are numerically lower than the pot odds, the call has a negative expectation, and you can expect to win less money on average than it costs to call the bet.
Conversely, from a partial order on a partition of a set S one can construct a preorder on S. There is a 1-to-1 correspondence between preorders and pairs ( partition, partial order ).
Conversely we have a b if and only if a < b or a ~ b. This is the reason for using the notation ""; "≤" can be confusing for a preorder that is not anti-symmetric, it may suggest that ab implies that a < b or a
Conversely, the interior of the box has a constant, zero potential energy .< ref > Actually, any constant, finite potential can be specified within the box.
Conversely, though every president from Washington to John Quincy Adams can be definitely assigned membership in an Anglican or Unitarian body, the significance of these affiliations is often downplayed as unrepresentative of their true beliefs.
Conversely, extremely thin jewelry can cause the same tearing in what is commonly referred to as the " cheese cutter effect ", either during sudden torsion or over a long period of wearing, especially if the thin jewelry bears any weight.
Conversely, specifying the symmetry can define the structure, or at least clarify what we mean by an invariant, geometric language in which to discuss it ; this is one way of looking at the Erlangen programme.
Conversely, water deep in the ocean near geothermal vents can reach temperatures of hundreds of degrees and remain liquid.
Conversely, AES is sensitive to the lighter elements, and unlike X-ray fluorescence, Auger peaks can be detected for elements as light as lithium ( Z = 3 ).

Conversely and be
Conversely, let G be any polynomial such that Af.
Conversely, experimenters would consider as impressive such statements as the following, which, if they turned out to be hits, are so unusual as to be really significant:
Conversely, the vowel marks of the Tigrinya abugida and the Amharic abugida ( ironically, the original source of the term " abugida ") have been so completely assimilated into their consonants that the modifications are no longer systematic and have to be learned as a syllabary rather than as a segmental script.
Conversely, Howard Marshall writes that the speeches were not entirely the inventions of the author and, while they may not be verbatim, nevertheless records the general idea.
Conversely, the withdrawal syndrome may also be a trigger for relapse.
Conversely, the Belgian Blue's meat tenderness has been argued to be just as tender because there are a large number of smaller muscle fibers.
Conversely, certain general principles ( for example, neighbourliness, or charity ) are seen to be universal and consistent.
Conversely the equilibrium position is said to be " far to the left " if hardly any product is formed from the reactants.
Conversely, function application is considered to be left-associative, so that is equivalent to.
Conversely, the symbol width could be set at 8, even if only values 0 and 1 are used ; these data would only require a 2-color table.
Conversely, since Imhotep was known as the " Son of Ptah ," his mother was sometimes claimed to be Sekhmet, the patron of Upper Egypt whose consort was Ptah.
That is, the motivational internalist believes that there is an internal, necessary connection between one's conviction that X ought to be done and one's motivation to do X. Conversely, the motivational externalist ( or moral externalist ) claims that there is no necessary, internal connection between moral convictions and moral motives.
Conversely, Walter Burkert suggests that the Hellene cult worship of Poseidon as a horse god may be connected to the introduction of the horse and war-chariot from Anatolia to Greece around 1600 BC.
Conversely, Scheme contains multiple coherent subsets that suffice to construct the rest of the language as library macros, and so the language designers do not even bother to say which portions of the language must be implemented as language constructs, and which must be implemented as parts of a library.

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