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Conversely and suppose
Conversely, suppose that **ya is in the null space of Af.
Conversely, suppose that M is a simple R-module.
Conversely, suppose we are given ( U, V, W ) satisfying
Conversely, suppose no improvement can be made.
: Conversely, suppose that φ is a smooth real-valued function on M in a neighborhood of p. Since every smooth function has a local coordinate expression, we may express φ as a function in the coordinates.

Conversely and estimate
Conversely, the relationship between and is linear, and so linear regression is used to estimate the latent heat.

Conversely and holds
Conversely, externalism holds that it is things about the world which motivate us, justify our beliefs, determine meaning, etc.
Conversely, simply having negative relationships with some women does not necessarily mean someone holds misogynistic views.
Conversely, assume that ψ (< u >#( β (#( β )))</ u >) holds.
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 >.
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.
Conversely, if this identity holds in a ring R for all pairs of elements a and b of the ring, then R is commutative.
Conversely, a business can have negative net assets showing on its balance sheet but still be cash-flow solvent if ongoing revenue is able to meet debt obligations, and thus avoid default: for instance, if it holds long term debt.

Conversely and .
Conversely, if statistics were uncovered which contradicted a cherished theory, the sources were denounced as faulty.
Conversely, let G be any polynomial such that Af.
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, the Radical Republicans criticized him for moving too slowly in abolishing slavery.
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, most heat-treatable alloys are precipitation hardening alloys, which produce the opposite effects that steel does.
Conversely, an adiabatic process that is irreversible and extracts no work is in an isenthalpic process, such as viscous drag, progressing towards a nonnegative change in entropy.
Conversely, some elements do not maintain distinct allotropes in different phases – for example phosphorus has numerous solid allotropes, which all revert to the same P < sub > 4 </ sub > form when melted to the liquid state.
Conversely, Carnegie a titan of industry seems to embody all of the qualities of Spencerian survival of the fittest.
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, a standard line on which voice service has been unsubscribed ( such as an ADSL dry loop ) may still accept calls to the 958 test exchange but not allow calls to standard numbers.
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, Applesoft lacked the ( remainder ) operator that had been present in Integer BASIC.
Conversely, towed artillery was and remains cheaper to build and maintain.
Conversely, most realists ( specifically, indirect realists ) hold that perceptions or sense data are caused by mind-independent objects.
Conversely, paintings which came out of his workshop that were not necessarily physically worked on by Cuyp but merely overseen by him technically, were marked with A. C. to show that it was his instruction which saw the paintings ’ completion.
Conversely, the withdrawal syndrome may also be a trigger for relapse.
Conversely, any algebra whose associator is alternating is clearly alternative.
Conversely, any algebra for which this is true is clearly alternative.

suppose and estimate
For example, suppose a researcher wishes to estimate the causal effect of smoking on general health ( as in Leigh and Schembri 2004 ).

suppose and holds
I suppose the same emotion holds, if to a lesser degree, with any famous monument.
But whether the rational soul is infused into the organism at conception, as the modern opinion holds, or some weeks subsequently, as the Scholastics suppose, is an open question with theologians.
The compactness theorem implies Robinson's principle: If a first-order sentence holds in every field of characteristic zero, then there exists a constant p such that the sentence holds for every field of characteristic larger than p. This can be seen as follows: suppose φ is a sentence that holds in every field of characteristic zero.
Given an array of n items, suppose we want an array that holds the same elements in reversed order and dispose of the original.
For the induction step, suppose the multinomial theorem holds for m. Then
For example, suppose declarer holds xx opposite KT in dummy.
This is easily shown by induction on: suppose that the statement holds for, and consider any tournament on vertices.

suppose and .
`` I suppose '', he muttered, `` I can sell the outfit for enough to send you home to your folks, once we find a settlement ''.
I suppose a Lascar sailor had sneaked a cigarette in the hold and touched off the blaze.
I don't suppose a wife should be grateful to her husband for saving her life, but I am.
I suppose the reason is a kind of wishful thinking: don't talk about the final stages of Reconstruction and they will take care of themselves.
`` I suppose because it saves them some loss of body water.
One of the obvious conclusions we can make on the basis of the last election, I suppose, is that we, the majority, were dissatisfied with Eisenhower conservatism.
I suppose we might classify Billy Graham as an old liberal.
There is no necessity, I suppose, to assert that Mr. Faulkner is Southern.
He might even suppose the planets to move at infinity.
I do not suppose you ever heard of F. Scott Fitzgerald, living or dead, and moreover I do not suppose that, even if you had, his legend would have seemed to you to warrant more than a cluck of disapproval.
To you, for instance, the word innocence, in this connotation, probably retained its Biblical, or should I say technical sense, and therefore I suppose I must make myself quite clear by saying that I lost -- or rather handed over -- what you would have considered to be my innocence two weeks before I was legally entitled, and in fact by oath required, to hand it over along with what other goods and bads I had.
I suppose the day will inevitably come when the area will be encrusted with developments, but at present it is deserted and seductive.
The basic difficulty, I suppose, was in my ultimate inability to feel a burden of sin from which I sought relief.
While S.K. did not like Dylan Thomas, I liked his poems very much, but I made the mistake of telling Dylan Thomas so, whereupon he said to me, `` I suppose you think you know all about me ''.
And this means, I suppose, that almost invariably age reveals itself by easily recognizable signs engraved on both the body and the mind.
And I suppose it did.
No one who has studied the radical Right can suppose that words are their sole staple in trade.
If the raw population figures are crucially relevant, then it is idle to think of liberation, as idle as to suppose that Poland might liberate Russia.
The publication last July of the party's Draft Program -- that blueprint for the `` transition to communism '' -- had led the uninitiated to suppose that this Twenty-second Congress would be a sort of apotheosis of the Khrushchev regime, a solemn consecration of ideas which had, in fact, been current over the last three or four years ( i.e., since the defeat of the `` anti-party group '' ) in all theoretical party journals.
That would be Minerva, I suppose.
Show her the new swimming pool and she would say, slapping her ankle, `` I suppose this must be where you breed your gigantic mosquitoes ''.
`` I suppose it has to do with the property '', Mark had said over the telephone when they had discussed their receipt of the letters.
Let us suppose the Russians decide to build a rail-mobile ICBM force.

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