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A suitable definition of the entropy of a small local region depends on the physically insightful and judicious selection of the independent local non-equilibrium macroscopic state variables, and different selections provide different generalized or extended thermodynamical accounts of one and the same given physical process.
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suitable and definition
As with any definition of the width of a function, many definitions are suitable for different purposes.
* Overriding and overloading: The intentional use of the same name for multiple implementations of an object's method or operation to represent the same data in different ways, for conciseness when multiple similar operations are involved, and / or to alter the implementation of an inherited method to make it more suitable for the narrower definition of the object's data.
He then sets up a dialogue in which the disputant offers a series of ways of defining S, and he meets each with a suitable objection, so drawing the conclusion that in such a case there is no right definition of S.
19th-and 20th-century astronomical observations revealed that the mean solar day is slowly but measurably lengthening and the length of a tropical year is not entirely predictable either ; thus the sun – earth motion is no longer considered a suitable basis for definition.
Hence the above is a suitable definition.
The above definition of energy spectral density is most suitable for pulse-like signals for which the Fourier transforms of the signals exist.
This definition is especially suitable to questions of computability and elementary set theory.
This definition is especially suitable to combinatorial questions and finite sets ; then the initial segment is
Thus formalistic logic would tend to work well with the Aristotelian logic of definition by closed sets of necessary and sufficient conditions, yet is deficient when applied to areas where definition by " family resemblance " ( Wittgenstein ) is more suitable.
To show that this definition is equivalent to the others above, one must introduce a suitable notion of a moving frame for the bundle E. In general, this is possible for any G-connection on a fibre bundle with structure group G. See Ehresmann connection # Associated bundles for more details.
As has been noted above, the entire exercise of classical test theory is done to arrive at a suitable definition of reliability.
As far as mixed motives, following Alexander Grothendieck, mathematicians are working to find a suitable definition which will then provide a " universal " cohomology theory.
It was thought that the principle of compositionality fails for these logics, so that a Tarskian truth definition could not provide a suitable semantics.
However, the RAD movement was very unstructured: there was no commonly agreed definition of a suitable process and many organisations came up with their own definition and approach.
The most common and well-known higashi is rakugan, but the definition of the word is somewhat vague and sometimes not suitable for a certain type of wagashi, so the word ' higashi ' would be better in some cases.
: and a suitable variant of the preceding definition also makes infinitely differentiable in.
Implicit in this definition is the use of a suitable category, such as the category of differentiable manifolds or the category of piecewise-linear manifolds.
Some authors do not include the multiplicative identity element in their requirements for a ring ( see ring ), and this definition is suitable for that convention ; otherwise the two definitions are easily seen to be equivalent due to the distributive law in rings.
In later works on the niche theory, Elton ’ s definition – the Eltonian niche – in terms of functional attributes of organisms ( or its position in the trophic net ), has been viewed by some authors as opposed to Joseph Grinnell ’ s earlier definition emphasizing states of the environment suitable for the species.
To generalize the finite dimensional definition given in the preceding section, a suitable replacement for the set X of vector subspaces of H which is permuted by the representation U is needed.
This definition may be generalized to n-ary relations using any suitable encoding which allows multiple strings to be compressed into one string ( for instance by listing them consecutively with a delimiter ).
suitable and entropy
Thus, by maximizing the entropy over a suitable set of probability distributions on X, one finds the distribution that is least informative in the sense that it contains the least amount of information consistent with the constraints that define the set.
suitable and small
When suitable equipment is located by the SBA representative, the small business concern is contacted and advised on when, where, and how to bid on such property.
The president of a small firm selling restaurant products, had considerable difficulty in finding suitable salesmen for his business.
It would contain small figures representing " visible things by their lines, and the invisible, by the visible which accompany them ", as well as adding " certain additional marks, suitable to make understood the flexions and the particles.
Some offer suitable protection for small yachts on passage.
" An aluminum identification tag, the size of a silver half dollar and of suitable thickness, stamped with the name, rank, company, regiment, or corps of the wearer, will be worn by each officer and enlisted man of the Army whenever the field kit is worn, the tag to be suspended from the neck, underneath the clothing, by a cord or thong passed through a small hole in the tab.
Likewise, he believed that republics were suitable for small states and that monarchies were ideal for moderate-sized states.
Recovery began in the 1990s, but growth has been constrained by the lack of suitable hotels and other infrastructure, despite a boom in construction of small and medium-sized hotels and restaurants, and by the impact of drought, the 1998 – 2000 war with Eritrea, and the specter of terrorism.
− 1 / 30, … are the Bernoulli numbers, and R is an error term which is normally small for suitable values of p and depends on n, m, p and f. ( The formula is often written with the subscript taking only even values, since the odd Bernoulli numbers are zero except for B < sub > 1 </ sub >.
The traditional gas mask style with two small circular eye windows originated when the only suitable material for these eye windows was glass or acrylic ; as glass is notoriously brittle, glass eye windows had to be kept small and thick.
The campsites vary in capacity but typically include a few three-sided wood shelters ( the fourth wall is screened ) with floors and roofs, and several individual sites suitable for pitching a small tent.
There being no doubt, and the exact hour and minute of " Boil Away " being confirmed daily, the world's leaders decide to commit themselves to a massive building program for the creation of as many spaceships as possible, more or less suitable for rescuing a small percentage of Earth's population.
Since they derive from a strong acid but weak base, they are both at about pH = 5 ; as a consequence, the morphine salts are mixed with small amounts of NaOH to make them suitable for injection.
After this, bridges tend to be of the suspension type, suitable for foot or small vehicle passage only.
The rear seats are small due to the prominent transmission hump rear seats have leg room like a front drive car due to the rear transmission, and are only suitable for children, or for typical adults on a short trip.
While a small amount of current can be extracted from the DTR and RTS lines, this is only suitable for low power devices such as mice.
Reed relays which are actuated by low currents and switch fast are suitable for controlling small currents.
* Lower possible operating voltages, making transistors suitable for small, battery-powered applications.
A teaspoon, an item of cutlery, is a small spoon, commonly part of a silverware ( usually silver plated, German silver or now, stainless steel ) place setting, suitable for stirring and sipping the contents of a cup of tea or coffee.
Woks of ( suitable for a family of 3 or 4 ) are the most common, but home woks can be found as small as and as large as.
Electric propulsion is not suitable for prolonged cruising at full power although the power required to motor slowly in light airs and calm seas is small.
Enormous tidal forces would be present near the edges of the flat-space volume because of the large space curvature there, but by suitable specification of the metric, these would be made very small within the volume occupied by the ship.
They have been considered for use as weapons, since current armour-piercing ammunition tends to consist of small rounds with very high kinetic energy, for which just such motors are suitable.
It should be noted that wherever marketed and sold throughout the world, Kinder Surprise bears prominent warnings both on the outer and inner packaging advising the consumer that the toy is “ not suitable for children under three years, due to the presence of small parts ” and that “ adult supervision is recommended .”
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