As another example of its many applications, the virial theorem has been used to derive the Chandrasekhar limit for the stability of white dwarf stars.

The max-flow min-cut theorem is a special case of the duality theorem for linear programs and can be used to derive Menger's theorem and the König-Egerváry Theorem.

The formal proof of the theorem utilizes the condition of invariance to derive an expression for a current associated with a conserved physical quantity.

The CHSH paper lists many preconditions ( or " reasonable and / or presumable assumptions ") to derive the simplified theorem and formula.

The model provided a basis for later work on the effects of protection on real wages, and has been fruitful in producing predictions and analysis ; Ohlin himself used the model to derive the Heckscher – Ohlin theorem, that nations would specialize in industries most able to utilize their mix of national resources efficiently.

A higher homotopy van Kampen theorem then enables one to derive some new information on homotopy groups and even on homotopy types.

* Virtually any textbook on Hamiltonian mechanics, advanced statistical mechanics, or symplectic geometry will derive the Liouville theorem.

In 1978 Constantine Callias, at the suggestion of his Ph. D. advisor Roman Jackiw, used the axial anomaly to derive this index theorem on spaces equipped with a Hermitian matrix called the Higgs field.

Now, using the divergence theorem we can derive the relationship between the flux and the partial time derivative of the density:

Both theories derive a best linear unbiased estimator, based on assumptions on covariances, make use of Gauss-Markov theorem to prove independence of the estimate and error, and make use of very similar formulae.

These axiom schemas are chosen to enable one to derive the deduction theorem from them easily.

With that assumption, one can derive another formula from Bayes ' theorem:

The equipartition theorem can be used to derive the ideal gas law, and the Dulong – Petit law for the specific heat capacities of solids.

for the average kinetic energy per particle, the equipartition theorem can be used to derive the ideal gas law from classical mechanics.

The equipartition theorem provides a convenient way to derive the corresponding laws for an extreme relativistic ideal gas.

The equipartition theorem may also be used to derive the energy and pressure of " non-ideal gases " in which the particles also interact with one another through conservative forces whose potential U ( r ) depends only on the distance r between the particles.

The equipartition theorem can be used to derive the Brownian motion of a particle from the Langevin equation.

We derive the fluctuation-dissipation theorem in the form given above, using the same notation.

By using the residue theorem or the Cauchy integral formula ( first employing the partial fractions method to derive a sum of two simple contour integrals ) one obtains

It is possible to derive alternative versions of Poynting's theorem.

John Earman and John Norton have argued that Szilárd and Landauer's explanations of Maxwell's demon begin by assuming that the second law of thermodynamics cannot be violated by the demon, and derive further properties of the demon from this assumption, including the necessity of consuming energy when erasing information, etc.

The team will usually ask for a character trait to use in their about-to-be-developed character ( s ) before they begin and some teams will even ask for other suggestions as well that they can use for inspiration, although teams may also ask for something like a location from which to derive their characteristic ( s )- i. e. a haunted house would be ' creepy '.

' Book of Genesis, Old Testament, Christian Bible ) and therefore derive the greatness of its Creator, Early Buddhism denies that the question is even worth asking to begin with.

Often, though, an analyst will begin by eliciting a set of use cases, from which the analyst can derive the functional requirements that must be implemented to allow a user to perform each use case.

To derive Utopian communism from the Jerusalem Christian community of the apostolic age or from its medieval successors-in-spirit, the monastic communities, is with an appropriate shift of adjectives, misleading in the same way as to derive it from Plato's Republic: in the Republic we have to do with an elite of physical and intellectual athletes, in the apostolic and monastic communities with an elite of spiritual and religious athletes.

Religious who derive their own sense of purpose through identification with the religious community rather than the academic community are prone to underestimate both the layman's reservoir of idealism and his need for this identification.

However, the temple of Ares to which he refers had only been moved from Acharnes and re-sited in the Agora in Augustus's time, and statues known to derive from Alcamenes ' statue show the god in a breastplate, so the identification of Alcamenes ' Ares with the Ares Borghese is not secure.

This contrasts with the synthetic approach of Euclidean geometry, which treats certain geometric notions as primitive, and uses deductive reasoning based on axioms and theorems to derive truth.

The word assassin is often believed to derive from the word Hashshashin ( Persian: حش ّ اشين, ħashshāshīyīn, also Hashishin, Hashashiyyin, or Assassins ), and shares its etymological roots with hashish ( or ; from Arabic: ).

A more recent etymology by Xavier Delamarre would derive it from a Common Celtic * Beltinijā, cognate with the name of the Lithuanian goddess of death Giltinė, the root of both being Proto-Indo-European * gʷelH-" suffering, death ".

Pfanzagl's axiomatization was endorsed by Oskar Morgenstern: " Von Neumann and I have anticipated " the question whether probabilities " might, perhaps more typically, be subjective and have stated specifically that in the latter case axioms could be found from which could derive the desired numerical utility together with a number for the probabilities ( cf.

Some sources derive the name of the weapon from the name of its first users — bernarda troopers called " carabiniers ", from the French carabine, from the Old French carabin ( soldier armed with a musket ), perhaps from escarrabin, gravedigger, perhaps from scarabee, scarab beetle.

Assuming that the rule is known, one can derive the function that is used above in the classical heat calculation with respect to pressure.

The two meanings of critical theory — from different intellectual traditions associated with the meaning of criticism and critique — derive ultimately from the Greek word kritikos meaning judgment or discernment, and in their present forms go back to the 18th century.

Filters can be represented by block diagrams, which can then be used to derive a sample processing algorithm to implement the filter with hardware instructions.

Suffixes such as-ess ,-ette, and-er can also derive overtly gendered versions of nouns, with marking for feminine being much more common than marking for masculine.

David filled twelve sketchbooks with material that he would derive from for the rest of his life.

A few others derive their orders from Roman Catholic bishops who have consecrated their own bishops after disputes with the Holy See.

In order to derive the Carnot efficiency,, Kelvin had to evaluate the ratio of the work done to the heat absorbed in the isothermal expansion with the help of the Carnot-Clapeyron equation which contained an unknown function, known as the Carnot function.

The fragments given as the Commentary on Luke in the PG have been claimed to derive from the missing tenth book of the General Elementary Introduction ( see D. S. Wallace-Hadrill ); however, Aaron Johnson has argued that they cannot be associated with this work ( see “ The Tenth Book of Eusebius ’ General Elementary Introduction: A Critique of the Wallace-Hadrill Thesis ,” Journal of Theological Studies, 62. 1 ( 2011 ): 144-160 ).

The English term " empiric " derives from the Greek word ἐμπειρία, which is cognate with and translates to the Latin experientia, from which we derive the word " experience " and the related " experiment ".

Blas Infante, in his book Orígenes de lo flamenco y secreto del cante jondo, suggested that the word may derive from Andalusian Arabic fellah mengu, " Escapee Peasant ", referring to the formerly Muslim Andalusians ( Moriscos ), who stayed in Spain and, according to certain modern authors, are supposed to have mixed with the Romani newcomers.

Fasces-symbolism might derive — via the Etruscans — from the eastern Mediterranean, with the labrys, the Anatolian and Minoan double-headed axe, later incorporated into the praetorial fasces.

The word may derive from the word " jabber " (" to talk nonsense "), with the "- ish " suffix to signify a language ; alternatively, the term gibberish may derive from the eclectic mix of English, Spanish, Hebrew, Hindi and Arabic spoken in the British territory of Gibraltar ( from Arabic Gabal-Tariq, meaning Mountain of Tariq ), which is unintelligible to non-natives.