Help


[permalink] [id link]
+
Page "Original proof of Gödel's completeness theorem" ¶ 24
from Wikipedia
Edit
Promote Demote Fragment Fix

Some Related Sentences

formula and is
Actually, only two men know what the formula is, Blake and '' -- He stopped and looked at Thor's body.
First, the present situation is too varied to be systematized by any single formula.
These factors practically insure that no single financing formula is feasible ; ;
As is the case with the allotment provisions for support of vocational rehabilitation services, the matching requirements are also based on a statutory formula.
A mathematical formula is nothing more than a pattern for solving a specific problem.
The first step in using a formula is to insert the numerical values of the factors involved in their correct positions in the formula.
A constant is a number that remains the same regardless of the other numbers used in the formula and the resultant equation.
When it is needed, one formula is as important as another.
Actually, the engine displacement formula is the standard formula for computing the volume of a cylinder of any type with an added factor that represents the number of cylinders in the engine.
The formula is: Af.
Cylinder volume is determined in exactly the same manner as for the displacement formula: Af.
The only precaution is that all volumes used in the formula be quoted in the same terms.
The formula for this step is: Af.
When tire size is measured in this manner a constant of 168 is used in the formula.
To determine car speed for a given combination of engine speed, gear ratio, and tire size, the formula is: Af.
To determine engine speed for a given combination of the other three factors the formula is: Af.
To determine the rear axle gear ratio for a combination of the other three factors, the formula is: Af.
This formula is given by Rumscheidt and Mason.
If it is assumed that the formula given by Lodge of cosec Af applies, the pressure difference along the major axes can be calculated from the angle of inclination of the major axis, and from this the interfacial tension can be calculated.
Since the complex of singular lines is of order K and since there is no complex of invariant lines, it follows from the formula Af that the order of the involution is Af.

formula and indeed
Such a formula is indeed satisfiable if and only if at least one of its terms is satisfiable, and a term is satisfiable if and only if it does not contain both x and NOT x for some variable x.
However it is consistent with ZFC that a definable well-ordering of the reals exists — for example, it is consistent with ZFC that V = L, and it follows from ZFC + V = L that a particular formula well-orders the reals, or indeed any set.
That β does indeed represent phase can be seen from Euler's formula ;
These three 2-way relations are not independent ( i. e. both the synodic month and eclipse year are dependent on the apparent motion of the Sun, both the draconic month and eclipse year are dependent on the motion of the nodes ), and indeed the eclipse year can be described as the beat period of the synodic and draconic months ( i. e. the period of the difference between the synodic and draconic months ); in formula:
So all that needs to be proved here is that the formula above does indeed define a vector field.
The equal protection clause would indeed be a formula of empty words if such conspicuously artificial lines could be drawn.
The Doctor has indeed found one, and as he writes down the formula, the Silurians attack the centre and stun him with their third eyes, taking him away.
If the entropy is defined phenomenologically via the second law of thermodynamics one has to show that the formula above indeed satisfies the law.
# Calculate the special ( i. e., particular ) CRI using the formula It appeared that could be negative ( ≥ 22 ), and this was indeed calculated for some lamp test colors, especially TCS9 ( strong red ).</ ref >
Hillgruber commented that Fischer had established that Germany was indeed responsible for both world wars, and Hofer's formula had to be disregarded by all serious historians.

formula and equivalent
Most European domestic power supplies run at 230 V, so the current drawn by a particular European appliance ( in Europe ) will be less than for an equivalent American one ( in the United States ).< ref group =" Note "> The formula for power is given by
) This orthogonality condition can be used to derive the formula for the IDFT from the definition of the DFT, and is equivalent to the unitarity property below.
Erlang-B ( sometimes also written without the hyphen Erlang B ), also known as the Erlang loss formula, is a formula for the blocking probability derived from the Erlang distribution to describe the probability of call loss on a group of circuits ( in a circuit switched network, or equivalent ).
If some specific deductive system of first-order logic is sound and complete, then is it " perfect " ( a formula is provable iff it is a semantic consequence of the axioms ), thus equivalent to any other deductive system with the same quality ( any proof in one system can be converted into the other ).
Then we could have written a formula of degree k which is equivalent to φ, namely.
And since these two formulas are equivalent, if we replace the first with the second inside Φ, we obtain the formula Φ ' such that Φ ≡ Φ ':
Under such conditions every formula of the form, where ( T ) is a string of quantifiers containing all quantifiers in ( S ) and ( S ') interleaved among themselves in any fashion, but maintaining the relative order inside ( S ) and ( S '), will be equivalent to the original formula Φ '( this is yet another basic result in first-order predicate calculus that we rely on ).
They proved that the existence of a proof system in which every true formula has a short proof is equivalent to NP = coNP.
This simplified formula is used to calculate a voltage gain in decibels, and is equivalent to a power gain only if the impedances at input and output are equal.
This simplified formula is used to calculate a current gain in decibels, and is equivalent to the power gain only if the impedances at input and output are equal.
Note that this formula ( equivalent to Newton's law of heat flow ) is analogous to, and much older than, Ohm's law of electric flow:
Cauchy's formula shows that, in complex analysis, " differentiation is equivalent to integration ": complex differentiation, like integration, behaves well under uniform limits – a result denied in real analysis.
Every propositional formula can be converted into an equivalent formula that is in CNF.
Since all logical formulae can be converted into an equivalent formula in conjunctive normal form, proofs are often based on the assumption that all formulae are CNF.
This means that the original formula and the result of the translation are equisatisfiable but not equivalent.
The Etruscan formula alpan turce is equivalent to libens dedit, " gave freely or willingly ," in Latin.
The equivalent formula in US customary units is:
If a formula is logically equivalent to a formula with only bounded quantifiers then is assigned the classifications and.
* If is logically equivalent to a formula of the form, where is, then is assigned the classification.
* If is logically equivalent to a formula of the form, where is, then is assigned the classification.

3.582 seconds.