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derivation and must
For observational data, the derivation of confidence intervals must use subjective models, as emphasized by Ronald A. Fisher and his followers.
Yet, one must consider Boltzmann to be the " father " of statistical thermodynamics with his 1875 derivation of the relationship between entropy S and multiplicity Ω, the number of microscopic arrangements ( microstates ) producing the same macroscopic state ( macrostate ) for a particular system.
However, angular speed must be in radians, by the assumed direct relationship between linear speed and angular speed at the beginning of the derivation.
The three basic principles of geometry are that certain propositions must be accepted as true without demonstration, that all other propositions of the system are derived from these, and that the derivation must be formal, that is, independent of the particular subject matter in question.
As as an assignment to variable S can come from either class K < sub > 1 </ sub > or K < sub > 2 </ sub >, the deduction violates the inheritance characteristic of tautology, i. e. the derivation must yield an ( evaluation of a formula ) that will fall into class K < sub > 1 </ sub >.
If the Pelasgians were not Indo-Europeans, the name in this derivation must have been assigned by the Hellenes.
However, it must be used with care: this derivation is only for a uniform quantizer applied to a uniform source.
At one time the area under wood must have been remarkable, if we accept the common derivation of the word " Ross " as from the Old Irish ros, a wood, and there was until recent times a considerable extent of native woodland, principally pine, oak, ash and alder.
The predominantly " juvenile " Sm-Nd isotopic signatures from most suites of Keivy complex suggest that they must be of mantle derivation or else have has short-lived crustal precursors.
Lord Kelvin suggested that the derivation of the equipartition theorem must be incorrect, since it disagreed with experiment, but was unable to show how.
This must be done prior to the derivation of building air leakage coefficients () and pressure exponents ().
For further logical development to be possible, this standpoint must shift to a new one where the Infinite is no longer simply a derivation of the Finite, but where the Finite, as well as the Infinite in General, are but moments of ( c ) the True Infinite.
To complete the derivation, the approximate solutions must be found everywhere and their coefficients matched to make a global approximate solution.
He starts with the derivation of an equation for the index of refraction for gases, and then shows how this must be modified for dense materials, modifying it, because in dense materials, there are also electric fields produced by other nearby atoms, creating local fields.
Following the above derivation of the limit on n < sub > e </ sub > τ < sub > E </ sub >, we see that the product of the density and the radius must be greater than a value related to the minimum of T < sup > 3 / 2 </ sup >/< σv >.
Probably, the derivation must be sought more remotely.
For the derivation, different conditions must be taken into account and different equations can be obtained.
As above, the derivation must obey the product rule, or Leibniz rule over the elements of the field, to be worthy of being called a derivation.
The derivation must also be distributive over addition in the field:
As above, the derivation must obey the Leibniz rule over the algebra multiplication, and must be linear over addition.

derivation and then
In Old English the sequence of derivation started as " cirice " ( Ki-ri-keh ), then " churche " ( kerke ), and eventually " church " in its traditional pronunciation.
home ), itself a derivation from " live " (> Greek, Latin sinō ); then, the Germanic * χimbra-finds an exact cognate in Slavic sębrъ " farmer " (> Croatian, Serbian sebar, Russ.
The relation between the tangent vectors defined earlier and derivations is as follows: if γ is a curve with tangent vector γ '( 0 ), then the corresponding derivation is D ( ƒ ) = ( ƒ ∘ γ )'( 0 ) ( where the derivative is taken in the ordinary sense, since ƒ ∘ γ is a function from (- 1, 1 ) to R ).
If D is a derivation at x, then D ( ƒ )
Specifically, if v is a tangent vector of M at a point x ( thought of as a derivation ) then define the directional derivative in the direction v by
Each element then implements a derivation of the, depending on how that element keeps its list (,, etc.
If A ∧ B is true, then B ∧ A is true ; This derivation can be drawn by composing inference rules in such a fashion that premises of a lower inference match the conclusion of the next higher inference.
As mentioned above, if the transform is normalised differently, then constant scaling factors will appear in the derivation.
The derivation of de Moivre's formula above involves a complex number to the power n. When the power is not an integer, the result is multiple-valued, for example, when n = ½ then:
However, the name seems to be actually a derivation of the Latin expression para bellum, which means " prepare for war " and was used to refer to the then official sidearm used by the Brazilian governmental troops and by some of the law enforcement soldiers, the Luger pistol, which was produced by the German arms maker DWM.
If premises are left unsatisfied in the derivation, then the derivation is a proof of a hypothetical statement: " if the premises hold, then the conclusion holds.
Any weakening that appears in a derivation can then be performed right at the start.
There is no trace of imitation or derivation from an alien source in the genius of this poet ... he resemblance between the tragic verse of Tourneur and the tragic verse of Shakespeare is simply such as proves the natural affinity between two great dramatic poets, whose inspiration partakes now and then of the quality more proper to epic or to lyric poetry.
A derivation ultimately from the Greek verb graphein ' to write ' may be fanciful: Paul the Deacon wrote in Latin ca 790: " the count of the Bavarians that they call gravio who governed Bauzanum and other strongholds …" ( Historia Langobardorum, V. xxxvi ); this may be read to make the term a Germanic one, but by then using Latin terms was quite common.
The probability of a derivation ( parse ) is then the product of the probabilities of the productions used in that derivation ; thus some derivations are more consistent with the stochastic grammar than others.
This inherits a bracket from G, because we can identify the M-sections into A with left-invariant vector fields on G. The anchor map then is obtained as the derivation of the source map
In 2006, Professor Steven J. Miller provided a statistical derivation of the formula under some assumptions about baseball games: if runs for each team follow a Weibull distribution and the runs scored and allowed per game are statistically independent, then the formula gives the probability of winning.
In various Romance and other languages, the imperial title was rather based on the Latin Imperator ( in fact a military mandate or a victory title ), but Caesar or a derivation is then still used for both the name and the minor ranks ( still perceived as Latin )
The derivation of the modern name is straightforward, the Old Norse name meaning " Bjorn's island " becoming Beàrnaraigh in Gaelic and then " Berneray " as an angilicisation.
Within this derivation, the history of the word is seen to originally have referred to the chanting of friars in a disparaging way some time between the 12th and 15th century, then the singsong of beggars and eventually a criminal jargon.

derivation and have
With this derivation, the name would have a double meaning in the poem: When the hero is functioning rightly, his men bring grief to the enemy, but when wrongly, his men get the grief of war.
The attempts to discover a derivation for the name, Greek, Hebrew, Coptic, or other, have not been entirely successful:
The same wider connections can be hypothesized for the " cow " derivation: the Boeotians have been known for well over a century as a people of kine, which might have been parallel to the meaning of Italy as a " land of calves.
One possible derivation is from the proto-Germanic word * bastjan ( from Proto-Indo-European root word * b < sup > h </ sup > as ) means " binding " or " tie ".< ref > Köbler * b < sup > h </ sup > as </ ref > In this case, Bastarnae may have had the original meaning of an alliance or bund of tribes.
Lieb and Yau have given a rigorous derivation of the limit from a relativistic many-particle Schrödinger equation.
Others have suggested a derivation from the Iron Age and Romano-British place name Camulodunum, one of the first capitals of Roman Britain and which would have significance in Romano-British culture.
Many suggestions for the derivation of the name " foxglove " have been proffered.
Concepts such as infinite proof trees or infinite derivation trees have also been studied, e. g. infinitary logic.
# Three other possibilities for the derivation of Lollard have been suggested:
Asides from derivation from tamgas, an alternate possibility of derivation from the Chinese script have been suggested by V. Thomsen in 1893, in which Chinese script itself is possibly derived from the Neolithic-era Banpo symbols and Jiahu script found at locations less than a thousand miles south of the Orkhon Valley.
The word was thought to have been etymologically related to the English way ( Old English weg ) and weigh — these words are all derived from the Indo-European root, * wegh -, which means " to move or convey " — but this derivation is no longer accepted by The Oxford English Dictionary .< ref >
I have called it Strontites, from the place it was found ; a mode of derivation in my opinion, fully as proper as any quality it may possess, which is the present fashion.
With time reversed we have the situation of two objects pushed away from each other, e. g. shooting a projectile, or a rocket applying thrust ( compare the derivation of the Tsiolkovsky rocket equation ).
He also claims to have proven a derivation of Bayes ' theorem from the concept of fuzzy subsethood.
With time reversed we have the situation of two objects pushed away from each other, e. g. shooting a projectile, or a rocket applying thrust ( compare the derivation of the Tsiolkovsky rocket equation ).
Approximately 70 percent of Canadians have surnames that are of English, Irish, French, or Scottish derivation.
Many of Cicero's etymological derivations are not to be taken seriously, and may indeed have been intended ironically. Nevertheless, this particular derivation of Cicero's has been accepted by some authors, some even suggesting that Dis Pater is a direct loan translation of Ploutōn.
That derivation literally means "( allative ) sucking liquid ," which may have been a byword for the notion of ‘ suck-giving liquid ’ ( cf.
Various musicians have tried to tease out the hidden theme in the belief that it is a derivation of some well-known tune.
For many decades, heraldic authors have believed that the term may have arisen from the Persian word gol " rose " ( coming to Europe via Muslim Spain or brought back by returning Crusaders ), but according to Brault there is no evidence to support this derivation.

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