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Page "Spectral density" ¶ 31
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definition and power
However, it is the editor who has " the power to impose the dominant definition of the writer and therefore to delimit the population of those entitled to take part in the struggle to define the writer ".
The power of choice under this definition has the potential for as much harm as it does good, and open theists see free will as the best answer to the problem of evil.
This number can be seen as equal to the one of the first definition, independently of any of the formulas below to compute it: if in each of the n factors of the power one temporarily labels the term X with an index i ( running from 1 to n ), then each subset of k indices gives after expansion a contribution X < sup > k </ sup >, and the coefficient of that monomial in the result will be the number of such subsets.
" In the 17th century the definition of " commonwealth " expanded from its original sense of " public welfare " or " commonweal " to mean " a state in which the supreme power is vested in the people ; a republic or democratic state.
From 1975 to 1979, a Canadian progressive power trio, Rush, released three albums containing sidelong epics, regarded by some as concept albums ( though not actually concept albums by strict definition of the term ; that is, none of the other songs on the album have anything to do with each other or the 20-minute sidelong epic, so there is no pervasive concept or story ).
Using now the power series definition from above we see that for real values of x
Accordingly, the American definition of EVA start time was redefined to when the astronaut switches the EMU to battery power.
Accordingly, egalitarianists have no power except through their presence, unless they ( by definition, reluctantly ) embrace principles which enable them to cooperate with fatalists and hierarchists.
Many such people believed in the idea that the United States is by definition benevolent, that the extension of its power, influence and hegemony is an extension of benevolence and brings freedom to those people subject to that hegemony.
During the Reign of Terror, the Jacobin government and other factions of the French Revolution used the apparatus of the state to execute and intimidate political opponents, and the Oxford English Dictionary includes as one definition of terrorism " Government by intimidation carried out by the party in power in France between 1789-1794 ".
The torque peak cannot, by definition, appear at higher rpm than the power peak.
These two values can be substituted into the definition of power:
The ALARA ( As Low As Reasonably Achievable ) principle has been advocated for an ultrasound examination — that is, keeping the scanning time and power settings as low as possible but consistent with diagnostic imaging — and that by that principle non-medical uses, which by definition are not necessary, are actively discouraged.
How does an irreducible but supervenient downward causal power arise, since by definition it cannot be due to the aggregation of the micro-level potentialities?
The classic definition of Italian Fascism applies to the latter part of the history of the movement in power, when Italy was firmly under the leadership of Benito Mussolini.
The fraction of total beam power encompassed by the beam width depends on which definition is used.
It is a useful approximation, but setting the arbitrary definition of occupied bandwidth at 98 % of the power still means that the power outside the band is only about 17 dB less than the carrier inside, therefore Carson's Rule is of little use in spectrum planning.
By incorporating index of refraction in its definition, NA has the property that it is constant for a beam as it goes from one material to another provided there is no optical power at the interface.
The definition used by some authors defines phase noise to be the power spectral density ( PSD ) of a signal's phase, while the other definition is based on the PSD of the signal itself.
Since the units are consistent, the power factor is by definition a dimensionless number between 0 and 1.
For the transmitting antenna, by the definition of gain,, the radiation power density at a distance from the antenna ( i. e. the power passing through unit area ) is
The intercept point according to its basic definition should be determined by drawing the straight lines with slope 1 and n through the measured data at the smallest possible power level ( possibly limited towards lower power levels by instrument or device noise ).

definition and spectral
One of these was the property, an essential universal true of the species, but not in the definition ( in modern terms, some examples would be grammatical language, a property of man, or a spectral pattern characteristic of an element, both of which are defined in other ways ).
Because this range of non-zero amplitude may be very broad or infinite, this definition is typically relaxed so that the bandwidth is defined as the range of frequencies in which the signal's spectral density is above a certain threshold relative to its maximum.
Due to ambiguities in the definition of spectral width of a source, however, the following definition of coherence length has been suggested:
In the special case that M is a normal matrix, which by definition must be square, the spectral theorem says that it can be unitarily diagonalized using a basis of eigenvectors, so that it can be written for a unitary matrix U and a diagonal matrix D. When M is also positive semi-definite, the decomposition is also a singular value decomposition.
The above definition of energy spectral density is most suitable for pulse-like signals for which the Fourier transforms of the signals exist.
) still use the non-normalized Fourier transform in a formal way to formulate a definition of the power spectral density
Planetary systems ( as per article definition of at least two planets ) organized by spectral type of host star.
By definition carbon stars have dominant spectral Swan bands from the molecule C < sub > 2 </ sub >.
A morphism of spectral sequences E → E ' is by definition a collection of maps f < sub > r </ sub >: E < sub > r </ sub > → E '< sub > r </ sub > which are compatible with the differentials and with the given isomorphisms between cohomology of the r-th step and the ( r + 1 )- st sheets of E and E ', respectively.
These kinetic principles for window and non-window radiation arise in the light of the definition of the atmospheric window as a dynamic property of the whole atmosphere, logically distinct from the electromagnetic spectral window.
By this definition, consonance is dependent not only on the width of the interval between two notes ( i. e., the musical tuning ), but also on the combined spectral distribution and thus sound quality ( i. e., the timbre ) of the notes ( see the entry under critical band ).
Knowing the illuminant's spectral power distribution, the reflectance spectrum of the specified white object ( often taken as unity ), and the numerical definition of the observer allows the coordinates of the white point in any color space to be defined.
Alternatively, a definition based on spectral type can be used, such as F8 V through K2 V, which would correspond to B-V color of 0. 50 to 1. 00.
Since discrete Fourier transform is inherently related to Fourier analysis, this type of spectral analysis is by definition not suitable for spectrum decomposition in SCA.

definition and density
The result, div F, is a function of p. From this definition it also becomes explicitly visible that div F can be seen as the source density of the flux of F.
In 1963, this definition was refined as the space occupied by 10 pounds of distilled water of density weighed in air of density against weights of density.
The definition of union density is “ the proportion of paid workers who are union members ”.
The gram was first introduced in 1795, with a definition based on the density of water ( so that at the temperature of melting ice, one cubic centimeter of water would have a mass of one gram ; while the meter at the time was defined as the 10, 000, 000th part of the distance from the Earth's equator to the North Pole ).
The definition of electromagnetic momentum density is modified to
Following the definition in previous section, for a bipartite composite system, mixed states are just density matrices on.
* A mercury density of 13. 5951 g / cm < sup > 3 </ sup > was chosen for this definition because this is the approximate density of mercury at.
The definition, therefore, assumes a particular value for the density of mercury.
The millimeter of mercury by definition is ( × × ), which is approximated with known accuracies of density of mercury and gravitational acceleration.
In spite of the fact that the decreed definition of the gram specified water at 0 ° C — a highly reproducible temperature — the scientists chose to redefine the standard and to perform their measurements at the temperature of highest water density, which was measured at the time as.
Note that this definition is tied to the critical density of the present cosmological era: the critical density changes with cosmological time, but the energy density due to the cosmological constant remains unchanged throughout the history of the universe.
For two continuous random variables and, Bayes ' theorem may be analogously derived from the definition of conditional density:
Occasionally an alternative definition in terms of electric field E and the magnetic flux density B is used.
With the first equality by definition of conditional probability density, the second by the remark above, the third by the equality proven above, and the fourth by simplification.

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