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Page "Group object" ¶ 19
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Conversely and if
Conversely, if statistics were uncovered which contradicted a cherished theory, the sources were denounced as faulty.
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, if he gives a heavy rating to his own reading, and finds more accurate facts in it than in the others, a point is chalked up for the intrinsic, objective meaningfulness of this type of mediumistic material.
Conversely, a subset R defines a binary function if and only if, for any x in X and y in Y, there exists a unique z in Z such that ( x, y, z ) belongs to R.
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 if you do have a better product suddenly you have these businesses that grow like topsy.
Conversely, if the second theory is correct, then the Athenians were merely reacting to the Persians attacking them.
Conversely the equilibrium position is said to be " far to the left " if hardly any product is formed from the reactants.
Conversely, negative chemotaxis occurs if the movement is in the opposite direction.
Conversely, if ƒ: C → C is a function which is differentiable when regarded as a function on R < sup > 2 </ sup >, then ƒ is complex differentiable if and only if the Cauchy – Riemann equations hold.
Conversely, if the same is done with the left hand, a left-handed system results.
Conversely, if the amount of fat is increased, increasing the number of calories ingested will only add weight.
Conversely, if the source of waves is moving away from the observer, each wave is emitted from a position farther from the observer than the previous wave, so the arrival time between successive waves is increased, reducing the frequency.
Conversely every partition of comes from an equivalence relation in this way, according to which if and only if and belong to the same set of the partition.
If neither A nor B includes the idea of existence, then " some A are B " simply adjoins A to B. Conversely, if A or B do include the idea of existence in the way that " triangle " contains the idea " three angles equal to two right angles ", then " A exists " is automatically true, and we have an ontological proof of A's existence.
Conversely, if the measured potential is negative, the electrode is more oxidizing than the SHE ( such as Zn in ZnSO < sub > 4 </ sub > where the standard electrode potential is − 0. 76 V ).
Conversely, if the firm is able to get bulk discounts of an input, then it could have economies of scale in some range of output levels even if it has decreasing returns in production in that output range.
Conversely, if no advantage is gained from kicking the ball, play should continue.
Conversely, daylight stock shot in daylight will look normal, but orange if shot under tungsten lights.
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 and m
Conversely, a square flat plate of area 1 m < sup > 2 </ sup > will have an RCS of < span style =" white-space: nowrap "> σ
Conversely, if weak or normal ( m, n, k ) is a win, then any larger weak ( m, n, k ) is a win.
Conversely, when games on the West Coast are played at 10 p. m. ET / 7 p. m. PT, many fans on the East Coast are unable to watch a game in its entirety, due to games ending around 1 a. m. ET / 10 p. m. PT, while most West Coast fans are able to watch the entire game.
Conversely, is ( m + 1 )- times bounded by, or:
Conversely, the river becomes narrower and deeper through the Highlands, reaching its deepest point of 216 feet ( 66 m ), near Garrison.
I ’ m longing to set me down shorely and raise my chaps proper ( 50 – 51 ).” Conversely, her husband Brack is committed to the mines and answers her as the family provider: “ It was never meant for a body to be full content on the face of this earth.

Conversely and e
Conversely, British English favours fitted as the past tense of fit generally, whereas the preference of American English is more complex: AmEng prefers fitted for the metaphorical sense of having made an object " fit " ( i. e., suited ) for a purpose ; in spatial transitive contexts, AmEng uses fitted for the sense of having made an object conform to an unchanged object that it surrounds ( e. g., " fitted X around Y ") but fit for the sense of having made an object conform to an unchanged object that surrounds it ( e. g., " fit X into Y "); and for the spatial senses ( both intransitive and transitive ) of having been matching with respect to contour, with no alteration of either object implied, AmEng prefers fit (" The clothes fit.
Conversely, when the carbon dioxide levels in the blood decrease ( i. e., in the lung capillaries ), carbon dioxide and protons are released from hemoglobin, increasing the oxygen affinity of the protein.
Conversely, frequencies used for some railway electrification systems were much lower ( e. g. 16. 7 Hz and 25 Hz ) than normal utility frequencies ( 50 – 60 Hz ) for historical reasons concerned mainly with the limitations of early electric traction motors.
Conversely, given an ordered tree, and conventionally draw the root at the top, then the child nodes in an ordered tree can be drawn left-to-right, yielding an essentially unique planar embedding ( up to embedded homotopy, i. e., moving the edges and nodes without crossing ).
Conversely, the term for the western sword in Arabic was firangi ( i. e. " Frankish ").
Conversely, the definition of " unauthorized practice of law " is variable, and is often conclusory and tautological, i. e., it is the doing of a lawyer's or counselor's work by a non-lawyer for money.
Conversely, older speakers in some regions ( such as the American South ) may use in words like coach and road that have in SE ( i. e., ).
Conversely, once a basis for A has been chosen, the products of basis elements can be set arbitrarily, and then extended in a unique way to a bilinear operator on A, i. e., so the resulting multiplication satisfies the algebra laws.
A hypergraph H may be represented by a bipartite graph BG as follows: the sets X and E are the partitions of BG, and ( x < sub > 1 </ sub >, e < sub > 1 </ sub >) are connected with an edge if and only if vertex x < sub > 1 </ sub > is contained in edge e < sub > 1 </ sub > in H. Conversely, any bipartite graph with fixed parts and no unconnected nodes in the second part represents some hypergraph in the manner described above.
Conversely, if waves of different frequencies are not coherent, then, when combined, they create a wave that is continuous in time ( e. g. white light or white noise ).
Conversely, using the last line as a definition one shows that the expression so defined is a connection compatible with the metric, i. e. is a Levi-Civita connection.
where e is the identity in G. Conversely, given a section s one defines a trivialization Φ by
Conversely, some bachelor's degrees in the higher faculties ( i. e., those other than arts ) at those universities are postgraduate qualifications ( e. g., the BCL and BMus at Oxford ).
Conversely, for any topology the clopen ( i. e. closed and open ) subsets yield a Boolean algebra.
Conversely, users can view content only at or below their own security level ( i. e. secret researchers can view public or secret files, but may not view top-secret files ; no read-up ).
Conversely, the following characterization of derived functors holds: given a family of functors R < sup > i </ sup >: A → B, satisfying the above, i. e. mapping short exact sequences to long exact sequences, such that for every injective object I of A, R < sup > i </ sup >( I )= 0 for every positive i, then these functors are the right derived functors of R < sup > 0 </ sup >.
which are linearly independent at each point q in U. Conversely, given such a coframe, there is a unique moving frame X < sub > 1 </ sub >, X < sub > 2 </ sub >, ..., X < sub > n </ sub > which is dual to it, i. e., satisfies the duality relation α < sup > i </ sup >( X < sub > j </ sub >) = δ < sup > i </ sup >< sub > j </ sub >, where δ < sup > i </ sup >< sub > j </ sub > is the Kronecker delta function on U.
Conversely, a polynomial time algorithm ( e. g., one that requires n < sup > 20 </ sup > steps for n-digit keys ) may be too slow for any practical use.
Conversely ' to the degree to which the shadow is recognised and integrated, the problem of the anima, i. e., of relationship, is constellated ', and becomes the centre of the individuation quest.

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