This last point is important because if high school pupils are aware that few, if any, graduates who have chosen a certain vocational program have obtained a job as a consequence of the training, the whole idea of relevance disappears.

:: One consequence is that people are more cooperative if it is more likely that individuals will interact again in the future.

A simple illustration of such cause and effect is the case of experiencing the effects of what I cause: if I cause suffering, then as a natural consequence I will experience suffering ; if I cause happiness, then as a natural consequence I will experience happiness.

If so, the mere fact that an incidental result ( even if it was a desired consequence ) was that a shareholder lost his majority, or a takeover bid was defeated, this would not itself make the share issue improper.

As a consequence of the third point, if a and b are coprime and br ≡ bs ( mod a ), then r ≡ s ( mod a ) ( because we may " divide by b " when working modulo a ).

As a consequence of the first point, if a and b are coprime, then so are any powers a < sup > k </ sup > and b < sup > l </ sup >.

where is a metalogical symbol meaning that is a syntactic consequence if and are each on lines of a proof in some logical system ;

If the barbarians are successful in their attack ( if they have a strength greater than Catan ), then the players must pay the consequence.

In deontology, an act may be considered right even if the act produces a bad consequence, if it follows the rule that “ one should do unto others as they would have done unto them ”, and even if the person who does the act lacks virtue and had a bad intention in doing the act.

An immediate consequence of this is that R < sup > m </ sup > is not homeomorphic to R < sup > n </ sup > if m ≠ n — an intuitively " obvious " result which is nonetheless difficult to prove.

One consequence of this theory is a variable speed of light, where photon speed would vary with energy, and some zero-mass particles might possibly travel faster than c. However, even if this theory is accurate, it is still very unclear whether it would allow information to be communicated, and appears not in any case to allow massive particles to exceed c.

It says that for any first-order theory T with a well-orderable language, and any sentence S in the language of the theory, there is a formal proof of S in T if and only if S is satisfied by every model of T ( S is a semantic consequence of T ).

It is deduced from the model existence theorem as follows: if there is no formal proof of a formula then adding its negation to the axioms gives a consisten theory, which has thus a model, so that the formula is not a semantic consequence of the initial theory.

The compactness theorem says that if a formula φ is a logical consequence of a ( possibly infinite ) set of formulas Γ then it is a logical consequence of a finite subset of Γ.

In consequence, Hamlet loses his faith in all women, treating Ophelia as if she too were a whore and dishonest with Hamlet.

This has the important consequence that two objects are completely indistinguishable as far as the structure in question is concerned, if there is an isomorphism between them.

He wrote, " I do not know what this Aether is ", but that if it consists of particles then they must be " exceedingly smaller than those of Air, or even than those of Light: The exceeding smallness of its Particles may contribute to the greatness of the force by which those Particles may recede from one another, and thereby make that Medium exceedingly more rare and elastic than Air, and by consequence exceedingly less able to resist the motions of Projectiles, and exceedingly more able to press upon gross Bodies, by endeavoring to expand itself.

In the calm which follows the reading of a poem, for example, is the effect produced by the enforced quiet, by the musical quality of words and rhythm, by the sentiments or sense of the poem, by the associations with earlier readings, if it is familiar, by the boost to the self-esteem for the semi-literate, by the diversion of attention, by the sense of security in a legitimized withdrawal, by a kind license for some variety of fantasy life regarded as forbidden, or by half-conscious ideas about the magical power of words??

If **ya is the multiple secant of **zg which passes through Af and **yb is the simple secant of **zg which passes through Af, and if Af are the points in which **ya meets **zg, and if Af is the image of Af on the generator **yb, it follows that the image of the line Af is Af.

so it follows that if the voltage is doubled and the power remains the same, the current will be halved .</ ref >

Astatine is sometimes described as being a black solid ( assuming that it follows this trend ), or as having a metallic appearance ( if it is a metalloid or a metal ).

In French, the period only follows an abbreviation if the last letter in the abbreviation is not the last letter of its antecedent: " M ." is the abbreviation for " monsieur " while " Mme " is that for " madame ".

Talbot ( 1989 ) observes that alcoholism in the classical disease model follows a progressive course: if a person continues to drink, their condition will worsen.

The exponent r can be generalized to an arbitrary real number as follows: if x > − 1, then

Furthermore, if b < sub > 1 </ sub > and b < sub > 2 </ sub > are both coprime with a, then so is their product b < sub > 1 </ sub > b < sub > 2 </ sub > ( modulo a it is a product of invertible elements, and therefore invertible ); this also follows from the first point by Euclid's lemma, which states that if a prime number p divides a product bc, then p divides at least one of the factors b, c.

Thus, the goal of a conditional proof is to demonstrate that if the CPA were true, then the desired conclusion necessarily follows.

For example, if a flat-panel display is examined under a magnifying glass, the pixels may appear as follows:

In contrast, if the person follows a diet that includes a lower caloric intake than the BMR, this person will lose fat but also a higher percentage of muscle.

Of course, if two stations transmit on the same frequency, it is practically impossible for the receiver to separate them ; so instead of all stations transmitting at the same frequency, each chain was allocated a nominal frequency, 1f, and each station in the chain transmitted at a harmonic of this base frequency, as follows:

It follows that there are also infinitely many solutions if c is a multiple of the greatest common divisor of a and b. If c is not a multiple of the greatest common divisor of a and b, then the Diophantine equation ax + by = c has no solutions.

Reflexivity follows from symmetry and transitivity if for every element a ∈ A, there exists another element b ∈ A such that a ~ b holds.

Many students of democracy have desired to improve education in order to improve the quality of governance in democratic societies ; the necessity of good public education follows logically if one believes that the quality of democratic governance depends on the ability of citizens to make informed, intelligent choices, and that education can improve these abilities.

Thus, if is the total number of trials and is the number of trials where the event occurred, the probability of the event occurring will be approximated by the relative frequency as follows:

The screen descriptor may also specify the presence and size of a Global Color Table, which follows next if present.

An image starts with a fixed-length Image Descriptor, which may specify the presence and size of a Local Color Table ( which follows next if present ).

Now we define an ordering of the k-tuples of natural numbers as follows: < math > ( x_1 ... x_k ) < ( y_1 ... y_k ) </ math > should hold if either < math >

All such imitations of negative quality have given rise to a compensatory response in the form of a heroic and highly individualistic humanism: if man can neither know nor love reality as it is, he can at least invent an artistic `` reality '' which is its own world and which can speak to man of purely personal and subjective qualities capable of being known and worthy of being loved.

This response is mostly secondary because salamanders have been observed to remain stationary near odoriferous prey but only feed if it moves.

The fixed-effects model of analysis of variance applies to situations in which the experimenter applies one or more treatments to the subjects of the experiment to see if the response variable values change.

For example, if a single photon strikes the electrons, only a single electron changes states in response to the photon.

An immunogen is a substance that is able to provoke an adaptive immune response if injected on its own.

An argument for the value of art, used in the fictional work ' The Hitchhikers Guide to the Galaxy ', proceeds that, if some external force presenting imminent destruction of Earth asked humanity what it's value was -- what should humanity's response be?

A response to a check is a legal move if it results in a position where the king is no longer under direct attack ( that is, not in check ).

All entries in the ASCII table below code 32 ( technically the C0 control code set ) and 127 are of this kind, including BEL ( which is intended to cause an audible signal in the receiving terminal ), SYN ( which is a synchronization signal ), and ENQ ( a signal that is intended to trigger a response at the receiving end, to see if it is still present ).

# Make sure patient is in an actual comatose state and is not mistaken for locked-in state ( patient will either be able to voluntarily move his eyes or blink ) or psychogenic unresponsiveness ( caloric stimulation of the vestibular apparatus will result in slow deviation of eyes towards the stimulation followed by rapid correction to mid-line ; this response can't be voluntarily suppressed: therefore, if the patient doesn't have this response, then psychogenic coma can be ruled out as a differential )

By not asking about the horses, Confucius demonstrates that the sage values human beings over property ; readers are led to reflect on whether their response would follow Confucius's and to pursue self-improvement if it would not have.

However, if the impulse response was

On the other hand, CRT monitors have superior contrast, have superior response time, are able to use multiple screen resolutions natively, and there is no discernible flicker if the refresh rate is set to a sufficiently high value.

A filter may also be described as a difference equation, a collection of zeroes and poles or, if it is an FIR filter, an impulse response or step response.

The impulse response h of a linear time-invariant causal filter specifies the output that the filter would produce if it were to receive an input consisting of a single impulse at time 0.

Although a digital filter can be an IIR filter if the algorithm implementing it includes feedback, it is also possible to easily implement a filter whose impulse truly goes to zero after N time steps ; this is called a finite impulse response ( FIR ) filter.

The frequency response or transfer function of a filter can be obtained if the impulse response is known, or directly through analysis using Laplace transforms, or in discrete-time systems the Z-transform.

For instance, if all of the coefficients were equal to unity, a so-called boxcar function, then it would implement a low-pass filter with a low frequency gain of N + 1 and a frequency response given by the sinc function.

In response to Himmler's attempts to open peace overtures with the Allies in 1945 through Count Bernadotte, Churchill enquired if they should negotiate with Himmler ' and bump him off later.

Custom status codes can be used since, if the user agent encounters a code it does not recognize, it can use the first digit of the code to determine the general class of the response.

The low-order bit of the SSAP indicates whether the packet is a command or response packet ; if it's 0, the packet is a command packet, and if it's 1, the packet is a response packet.