This emphasis on culture corresponds to the modern mainstream definition of racism: " Racism does not originate from the existence of ‘ races ’.

There is no single written expression or definition from this era that exactly corresponds with a modern understanding of the term " republic.

Definitions based on the percent of the stride during which a foot is in contact with the ground ( averaged across all feet ) of greater than 50 % contact corresponds well with identification of ' inverted pendulum ' mechanics and are indicative of walking for animals with any number of limbs, although this definition is incomplete.

Although not part of this definition, many authors require that the topology on G be Hausdorff ; this corresponds to the identity map being a closed inclusion ( hence also a cofibration ).

Any of the definitions of each numeric mark can only be used in the comment if the mark corresponds with the definition

Using the above definition, it is useful to think of the function as a matrix ( called the input matrix ) where each row of the matrix corresponds to X and each column corresponds to Y.

Whatever the definition of full employment, it is difficult to discover exactly what unemployment rate it corresponds to.

This follows immediately from the Galois connection between ideals of and closed subsets of and the observation that, by the definition of, each prime ideal of corresponds to a generic point of the closed subset associated to via the Galois connection.

This definition corresponds to including only Groups 3 – 11 as transition metals.

The definition of black humor is problematic ; it has been argued that it corresponds to the earlier concept of gallows humor.

Note that according to this definition, the verb phrase corresponds to the predicate of traditional grammar.

By another definition, however, maximum life span corresponds to the age at which the oldest known member of a species or experimental group has died.

In science and statistics, validity has no single agreed definition but generally refers to the extent to which a concept, conclusion or measurement is well-founded and corresponds accurately to the real world.

This informal characterization corresponds to both von Neumann's formal definition of the entropy of a mixed quantum state ( which is just a statistical mixture of pure states ; see von Neumann entropy ), as well as Claude Shannon's definition of the entropy of a probability distribution over classical signal states or messages ( see information entropy ).

A slightly broader model of efficiency that nevertheless remains consistent with the " percentage " definition in many cases is to say that efficiency corresponds to the ratio r = P / C of the amount P of some valuable resource produced, per amount C of valuable resources consumed.

The definition of a particle is different in the two vacuum states between which the tunneling occurs ; therefore a state of no particles in one vacuum corresponds to a state with some particles in the other vacuum.

The frequency of light used in the definition corresponds to a wavelength of 555 nm, which is near the peak of the eye's response to light.

A casual reader may wish to restrict attention to the first and simplest definition, which corresponds to a single-parameter family of discrete or continuous probability distributions.

By international law, the notion of a country's sovereign airspace corresponds with the maritime definition of territorial waters as being 12 nautical miles ( 22. 2 km ) out from a nation's coastline.

It corresponds exactly to the definition of negentropy adopted in statistics and information theory.

This definition is only one, and corresponds specifically to an integral of the Lagrangian of the system.

The classical definition of angular momentum as can be carried over to quantum mechanics, by reinterpreting r as the quantum position operator and p as the quantum momentum operator.

The term " concept " is traced back to 1554 – 60 ( Latin conceptum-" something conceived "), but what is today termed " the classical theory of concepts " is the theory of Aristotle on the definition of terms.

There is no official definition of ' cubewano ' or ' classical KBO '.

According to this definition, an object qualifies as a classical KBO if:

Formally, this definition includes as classical all objects with the current orbits that

Unlike other schemes, this definition includes the objects with major semi-axis less than 39. 4 AU ( 2: 3 resonance ) – named Inner classical belt, or more than 48. 7 ( 1: 2 resonance ) – named Outer classical belt while reserving the term Main classical belt for the orbits between these two resonances.

In classical thought, a definition was taken to be a statement of the essence of a thing.

A nominal definition is the definition explaining what a word means, i. e. which says what the ' nominal essence ' is, and is definition in the classical sense as given above.

" Yet the definition according to the esthesic level does not allow that the sounds of classical music are complex, are noises, rather they are regular, periodic, even, musical sounds.

Usually, they have involved substantive attempts to provide a definition of knowledge different from the classical one, either by recasting knowledge as justified true belief with some additional fourth condition, or as something else altogether.

This definition holds for most " classical " hormones, but there are also paracrine mechanisms ( chemical communication between cells within a tissue or organ ), autocrine signals ( a chemical that acts on the same cell ), and intracrine signals ( a chemical that acts within the same cell ).

Historically, the classical thermodynamics definition developed first, and it has more recently been extended in the area of non-equilibrium thermodynamics.

The frequentist interpretation is a philosophical approach to the definition and use of probabilities ; it is one of several, and, historically, the earliest to challenge the classical interpretation.

Hayek identified himself as a classical liberal but noted that in the United States it had become almost impossible to use " liberal " in its original definition, and the term " libertarian " has been used instead.

The classical definition of a sheaf begins with a topological space X.

Although this is not the technical definition of the Hamiltonian in classical mechanics, it is the form it most commonly takes.

According to the what economist Nicholas Barr describes as the " classical definition of income :" the 1938 Haig-Simons definition, " income may be defined as the ... sum of ( 1 ) the market value of rights exercised in consumption and ( 2 ) the change in the value of the store of property rights ..." Since the consumption potential of non-monetary goods, such as leisure, cannot be measured, monetary income may be thought of as a proxy for full income.

In Ricardo and other classical economists, this definition serves as a measure of " real cost ", " absolute value ", or a " measure of value " invariable under changes in distribution and technology.

The liberal arts education ( Latin: artes liberales ) is a type of education with those subjects or skills that in classical antiquity were considered essential for a free person, in other words, a citizen, to know in order to take an active part in civic life and public debate and most importantly, military service ( slaves and resident aliens were by definition excluded from the duties and responsibilities of citizenship ).

In the second example CH < sub > 3 </ sub > COOH undergoes the same transformation, in this case donating a proton to ammonia ( NH < sub > 3 </ sub >), but cannot be described using the Arrhenius definition of an acid because the reaction does not produce hydronium.

Simply storing the 24-bit color of each pixel in this image would require 1. 62 million bits, but a small computer program can reproduce these 1. 62 million bits using the definition of the Mandelbrot set and the coordinates of the corners of the image.

The traditional definition of the role of the conservator involves the examination, conservation, and preservation of cultural heritage using " any methods that prove effective in keeping that property in as close to its original condition as possible for as long as possible.

Although not normally thought of as biotechnology, agriculture clearly fits the broad definition of " using a biotechnological system to make products " such that the cultivation of plants may be viewed as the earliest biotechnological enterprise.

Another definition of the Bessel function, for integer values of, is possible using an integral representation:

But using a broader definition, such as Frederick Streng's characterization of religion as " a means of ultimate transformation ", Confucianism could be described as a " sociopolitical doctrine having religious qualities.

The first step is to substitute for using the definition of differentiability of g at a:

In practice, the above definition is rarely used because in virtually all cases, the curl operator can be applied using some set of curvilinear coordinates, for which simpler representations have been derived.

When using this definition, or may be the start symbol.

One of the reasons for using more HIV tests despite their expense is that, rather than overestimating AIDS as Duesberg suggests, the Bangui definition alone excluded nearly half of African AIDS patients.

The widespread adoption of digital video has also drastically reduced the bandwidth needed for a high-definition video signal ( with HDV and AVCHD, as well as several commercial variants such as DVCPRO-HD, all using less bandwidth than a standard definition analog signal ) and tapeless camcorders based on flash memory and often a variant of MPEG-4.

Dynamic HTML, or DHTML, is an umbrella term for a collection of technologies used together to create interactive and animated web sites by using a combination of a static markup language ( such as HTML ), a client-side scripting language ( such as JavaScript ), a presentation definition language ( such as CSS ), and the Document Object Model.

This property ( which can be proved using the Dandelin spheres ) can be taken as another definition of the ellipse.

Based on this, she offered a definition incorporating those elements, stating that euthanasia " must be defined as death that results from the intention of one person to kill another person, using the most gentle and painless means possible, that is motivated solely by the best interests of the person who dies.

Early EVM research showed that the areas of planning and control are significantly impacted by its use ; and similarly, using the methodology improves both scope definition as well as the analysis of overall project performance.

a fact that cannot be seen directly from the definition of elementary function but can be proven using the Risch algorithm.

The individual states may differ in this definition, using other categories as seriousness or context.

An FFT is a way to compute the same result more quickly: computing a DFT of N points in the naive way, using the definition, takes O ( N < sup > 2 </ sup >) arithmetical operations, while an FFT can compute the same result in only O ( N log N ) operations.

which can be found by setting z = 1 / 2 in the reflection or duplication formulas, by using the relation to the beta function given below with x = y = 1 / 2, or simply by making the substitution u = √ t in the integral definition of the gamma function, resulting in a Gaussian integral.

It is doubtful, however, whether he was using the term " conception " in the same sense in which it is used in the definition of Pope Pius IX.

We can solve both problems using a more abstract definition of the exponential map that works for all Lie groups, as follows.

However, using the definition of " light pollution " from some Italian regional bills ( i. e., " every irradiance of artificial light outside competence areas and particularly upward the sky ") only full cutoff design prevents light pollution.

An intended by-product of the 17th CGPM's definition was that it enabled scientists to compare their lasers accurately using frequency, resulting in wavelengths with one-fifth the uncertainty involved in the direct comparison of wavelengths because interferometer errors were eliminated.