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, when applied to a single stage, where the propellant mass fraction calculation doesn't include the payload, a higher propellant mass fraction corresponds to a more efficient design, since there is less non-propellant mass.

Conversely, solid personal management skills are often manifested by efficient integration of new technology or processes, creative thinking, high productivity, and a pursuit of skill enhancement.

Conversely, every Bayesian procedure is admissible.

Conversely, surveys conducted among living donors postoperatively and in a period of five years following the procedure have shown extreme regret in a majority of the donors, who said that given the chance to repeat the procedure, they would not.

Conversely, every admissible statistical procedure is either a Bayesian procedure or a limit of Bayesian procedures.

* Conversely, corresponding to any partition of X, there exists an equivalence relation ~ on X.

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.

As stated earlier, an adjunction between categories C and D gives rise to a family of universal morphisms, one for each object in C and one for each object in D. Conversely, if there exists a universal morphism to a functor G: C → D from every object of D, then G has a left adjoint.

It is a fact that the ring is a principal ideal ring ; that is, for any ideal I in, there exists an integer n in I such that every element of I is a multiple of n. Conversely, the set of all multiples of an arbitrary integer n is necessarily an ideal, and is usually denoted by ( n ).

Conversely, the HMV store chain exists in Japan ( though no longer owned by HMV Group ), but it cannot use the His Master's Voice motto or logo ; its logo is a stylized image of a gramophone only.

for some real-valued functions a and b depending, respectively, on x and y. Conversely, given any such pair of real-valued functions, there exists a vector field X satisfying 1. and 2.

Conversely, if n is prime, then there exists a primitive root modulo n, or generator of the group ( Z / nZ )*.

Conversely, if only one action exists for each state and all rewards are zero, a Markov decision process reduces to a Markov chain.

Conversely, for a given set of natural numbers satisfying the above inequality, there exists a uniquely decodable code over an alphabet of size with those codeword lengths.

Conversely, however, if an analytical technique for valuing the option exists — or even a numeric technique, such as a ( modified ) pricing tree — Monte Carlo methods will usually be too slow to be competitive.

Conversely, an interest in a private-held company is worth less because no established market exists.

Conversely, jumper classes are scored objectively, based entirely on a numerical score determined only by whether the horse attempts the obstacle, clears it, and finishes the course in the allotted time.

Conversely, Eldad ha-Dani argued that the tribe of Simeon had become quite powerful, taking tribute from 25 other kingdoms, some of which were Arabians ; though he names their location, surviving versions of his manuscripts differ as to whether it was the land of the Khazars or of the Chaldeans-Chaldeans would be an anachronism, though it could possibly refer to Buyid Dynasty Persia.

Conversely, the state can directly fund unprofitable business, such as railway services to remote areas, regardless of whether the operator is a private corporation.

Conversely, poets such as John Milton alternated between short and long forms for function words, depending on whether they occurred on or off the meter.

Conversely, if the winning bid indicated whether high-or low-ranking cards would win during this hand, the winning bidder must now declare a trump suit for this hand.

Conversely, a common way to gauge whether the phrase is atelic is to see whether such a phrase as for an hour ( a time-span adverbial ) can be applied to it.

Conversely, the predicate term ' P ' cannot be said to be distributed, or exhausted in its expression because it is indeterminate whether every instance of a member of ' P ' as a class is also a member of ' S ' as a class.