Although the existence of molecules has been accepted by many chemists since the early 19th century as a result of Dalton's laws of Definite and Multiple Proportions ( 1803 – 1808 ) and Avogadro's law ( 1811 ), there was some resistance among positivists and physicists such as Mach, Boltzmann, Maxwell, and Gibbs, who saw molecules merely as convenient mathematical constructs.

If the system is large the Boltzmann distribution could be used ( the Boltzmann distribution is an approximate result )

These theorems may be considered as simplifications of the Boltzmann result.

" While chemical issues in the brain that result in anxiety ( especially resulting from genetics ) are well documented, this study highlights an additional environmental factor that may result from being raised by parents suffering from chronic anxiety.

As a result, while the Library of Congress Classification system was able to incorporate changes and additions of new branches of knowledge, particularly in the fields of engineering and computer science ( the greater hospitability of the Library of Congress Classification was also a factor ), DDC has been criticized for being inadequate in covering those areas.

Many commentators fault Stoiber's reaction to the floods in eastern Germany, in the run-up to the election, as a contributory factor in his party's poor electoral result and defeat.

where the dissociation energies, E < sub > d </ sub >, of the A – B, A – A and B – B bonds are expressed in electronvolts, the factor ( eV )< sup >– ½ </ sup > being included to ensure a dimensionless result.

Insulin-like growth factor 1 ( IGF-1 ) is mainly secreted by the liver as a result of stimulation by growth hormone ( GH ).

If any of them divides evenly, write 2 at the top of the table and the result of division by 2 of each factor in the space to the right of each factor and below the 2.

The result of a multiplication is called a product, and is a multiple of each factor if the other factor is an integer.

As a result of this method, care must be taken in the interpretation of Ferguson's three factors, as factor analysis will output an abstract ' factor ' whether an objectively real factor exists or not .< reF > SAS ( R ) 3. 11 Users Guide, Multivariate Analysis: Factor Analysis Although replication of the Nationalism factor was inconsistent, the finding of Religionism and Humanitarianism had a number of replications by Ferguson and others.

For example, it is not considered perjury to lie about one's age unless age is a factor in determining the legal result, such as eligibility for old age retirement benefits.

Target Numbers were determined by adding Ability level + Skill level and multiplying or dividing that number by a factor determined by the task's difficulty ; if the task is Easy multiply Target Number result by 4, Average multiply by 2, Difficult use the number as normal, Formidable halves the number ( drop fractions ), and Impossible quarters the number ( drop fractions ).

The first factor, I < sub > 1 </ sub >, is the single-slit result, which modulates the more rapidly varying second factor that depends upon the number of slits and their spacing.

The result when multiplied with the displacement power factor ( DPF ) is the overall, true power factor or just power factor ( PF ):

A mathematical correction factor, known as the phi-factor, can be used to adjust the calorimetric result to account for these heat losses.

U. S. Federal Reserve economist David Alan Aschauer asserted an increase of the public capital stock by 1 % would result in an increase of the total factor productivity by 0. 4 %.

Hence, the term " conversion factor " is the multiplier which yields the result, not a divisor from that viewpoint.

As a result, he was sent to a hospital in Arizona until his health improved enough for him to come back to Washington to work in the Government service.

The result was that I found myself in the ridiculous position of having made a formal engagement by letter for the next week, only two days before my departure from London.

But the jurisdictional disputes that result from the craft-industrial rivalry do not win friends for labor.

In the first place, a large part of the discrepancy between President Eisenhower's estimate of a 1.5 billion dollar surplus for the same period and the new estimate of an almost seven billion dollar deficit is the result of the outgoing President's farewell gift of a political booby-trap to his successor.

It stipulates, in addition, that all amounts remaining as a result of imposing the `` ceiling '', and not used for insuring the `` floor '', be redistributed to those States still below their maximums.

( Multiply the result obtained in item 3 above by the result obtained for each State in item 1 above.

( Multiply the result obtained in item 3 above by the amount used for each State in item 1 above.

The Government of India agrees that it will take all possible measures to prevent the resale or transshipment to other countries or the use for other than domestic purposes ( except where such resale, transshipment or use is specifically approved by the Government of the United States of America ), of the surplus agricultural commodities purchased pursuant to the provisions of this Agreement, and to assure that the purchase of such commodities does not result in increased availability of these or like commodities for export from India.

The engineering provides exactly the support needed for such a result.

As with the penultimate Giselle release ( Wolff's abridgment for RCA Victor ) I find the cleaner, less razor-edged monophonic version, for all its lack of big-stage spaciousness, the more aurally tolerable -- but this may be the result of processing defects in my SD copies.

Although we are still far from a complete understanding of these problems, as a first approximation, it is suggested that alterations in the hypothalamic balance with consequent changes in the hypothalamic-cortical discharges account for major changes in behavior seen in various moods and states of emotions in man and beast under physiological circumstances, in experimental and clinical neurosis, and as the result of psychopharmacological agents.

Omission of a subordinator pronoun, however, does not result in an increase in stress on a prepositional adverb for which the subordinator pronoun would be object.

If, as I suspect, the problem is largely of the second sort, then development of a theory better able to handle tone will result automatically in better theory for all phonologic subsystems.

However, to the extent that the monetary authorities, in their effort to ease credit in the next several months, conduct their open market operations in longer-term Government bonds, they will certainly act to accentuate any tendency for long-term interest rates to ease as a result of market forces.

Justices Frankfurter and Jackson concurred in the Court's result, for they found no merit in the railroad's claim.

The action was a result of a court order, the citation for which ( and for other court action mentioned in this paper ) is taken from the Summary Report for this Conference.

If this threefold division of costs were to have its counterpart in the actual rates of charge for service, as it actually does have in some rates, there would result a three-part rate for any one class of service.

The result, coupled with the salesmanship for which American industry is famous, is considerable expenditure of funds and efforts in marginal areas.

The gallium / germanium ratio is higher than that for ordinary igneous, metamorphic, or sedimentary matter as a result of selective volatilization of the components of the tektite.

The result, of course, would be that federal law inevitably would mean different things in different states.

that on the immediate horizon, if further large-scale ( relatively speaking ) desegregation comes, it will result from court orders on suits filed in several Middle-South states.

The firm recently expanded domestic sales into the Southeastern states as a result of an agreement with Cen-Tennial Gin Co..

Critics of the SAP argue in favor of a weak anthropic principle ( WAP ) similar to the one defined by Brandon Carter, which states that the universe's ostensible fine tuning is the result of selection bias: i. e., only in a universe capable of eventually supporting life will there be living beings capable of observing any such fine tuning, while a universe less compatible with life will go unbeheld.

A British Army memorandum states that as a result of this the situation " changed overnight ", with the Provisional IRA's campaign in the city beginning at that time after previously being regarded as " quiescent ".

40 % of comatose states result from drug poisoning.

20 % of comatose states result from the side effects of a stroke.

As a result, Europe is a continent free of the death penalty in practice, all states but Russia, which has entered a moratorium, having ratified the Sixth Protocol to the European Convention on Human Rights, with the sole exception of Belarus, which is not a member of the Council of Europe.

J. Brooking Rowe, writing in 1895, states that the tomb was re-erected in 1890 under the direction of Mr. E. Fearnley Tanner, who said that he was dissatisfied with the result because several stones were missing and it was difficult to recreate the original character of the monument.

One particularly important physical result concerning conservation laws is Noether's Theorem, which states that there is a one-to-one correspondence between conservation laws and differentiable symmetries of physical systems.

This increase was a result of the increased number of states, the fragility of states formed after 1945, the decline in interstate war, and the Cold War rivalry.

This is a result of his personality theory, which states that everyone exists in a constantly changing world of experience in which he or she is the center.

Duesberg states that African AIDS cases are " a collection of long-established, indigenous diseases, such as chronic fevers, weight loss, alias “ slim disease ”, diarrhea and tuberculosis " that result from malnutrition and poor sanitation.

As a result, Delaware corporations are subject almost exclusively to Delaware law, even when they do business in other states.

Charged particles in a stationary state do not move, but a superposition of such states may result in transition state which has an electric dipole moment that oscillates in time.

In Loizidou v Turkey, the European Court of Human Rights ruled that jurisdiction of member states to the convention extended to areas under that state's effective control as a result of military action.

Signatory states to the Convention can only derogate from the rights contained in Article 2 for deaths which result from lawful acts of war.

As a result, Jersey Standard was restricted from using Esso in the U. S., except in those states awarded to it in the 1911 Standard Oil antitrust settlement.

One theory states that stable wormholes are possible, but that any attempt to use a network of wormholes to violate causality would result in their decay.

Some of the existing states, in particular Hanover, were abolished and annexed by Prussia as a result of the war of 1866.

As a result, much territories of former Vijaynagar Empire were captured by Deccan Sultanates and the remaining got divided into many states ruled by Hindu rulers.

The most fundamental results of this theory are Shannon's source coding theorem, which establishes that, on average, the number of bits needed to represent the result of an uncertain event is given by its entropy ; and Shannon's noisy-channel coding theorem, which states that reliable communication is possible over noisy channels provided that the rate of communication is below a certain threshold, called the channel capacity.