But the form in which the claim must be stated need not be different from what the State exacts in the enforcement of like obligations created by it, so long as a requirement does not add to, or diminish, the right as defined by Federal law, nor burden the realization of this right in the actualities of litigation ''.

The standardized form of Austrian German for official texts and schools is defined by the Austrian Dictionary (), published under the authority of the Austrian Federal Ministry of Education, Arts and Culture.

Areas of southern Nevada, Utah and Colorado form a loose northern boundary, while the southern edge is defined by the Colorado and Little Colorado rivers in Arizona and the Rio Puerco and Rio Grande in New Mexico.

Since Fire Temple was at least partially built to conform to the dimensions of the cliff alcove in which it was built, it is neither round in form nor truly subterranean like other structures defined as kivas

The term may also refer to the physical region where the electron can be calculated to be, as defined by the particular mathematical form of the orbital.

Alpha decay is by far the most common form of cluster decay where the parent atom ejects a defined daughter collection of nucleons, leaving another defined product behind ( in nuclear fission, a number of different pairs of daughters of approximately equal size are formed ).

Advocates have defined astrology as a symbolic language, an art form, a science, and a method of divination.

As defined by Arrhenius, acid – base reactions are characterized by Arrhenius acids, which dissociate in aqueous solution to form hydrogen ions (), and Arrhenius bases, which form hydroxide () ions.

Because of the early origin of its original form, it does not address some Christological issues defined in the later Nicene and other Christian Creeds.

Fractional bandwidth or Ratio bandwidth, usually used for wideband antennas, is defined as and is typically presented in the form of.

To see that it is sufficient — that the parallelogram law implies that the form defined by the polarization identity is indeed a complete inner product — one verifies algebraically that this form is additive, whence it follows by induction that the form is linear over the integers and rationals.

These are defined by rules of the form with a nonterminal and a string of terminals and nonterminals.

In his Manual of Geology, 1863, Dana says " The continents and oceans had their general outline or form defined in earliest time.

) The exterior derivative of a k-form in R < sup > 3 </ sup > is defined as the ( k + 1 )- form from above ( and in R < sup > n </ sup > if, e. g., < math >

In the latter, only taxa associated with a rank can be named, yet there are not enough ranks to name a long series of nested clades ; ranks determine the form of names, so names must in many cases change when a name is inserted into such a series ; and taxon names cannot be defined in a way that guarantees them to refer to clades.

Earlier used to describe any five-line form, it now refers to one of several forms that are defined by specific rules and guidelines.

In the field of parapsychology, clairgustance is defined as a form of extra-sensory perception that allegedly allows one to taste a substance without putting anything in one's mouth.

With its emphasis on notions of social contract and the collective will of the people, democracy can also be characterized as a form of political collectivism because it is defined as a form of government in which all eligible citizens have an equal say in the decisions that affect their lives.

The divergence can be defined on any manifold of dimension n with a volume form ( or density ) e. g. a Riemannian or Lorentzian manifold.

In Christian terminology, docetism ( from the Greek dokein ( to seem ) / dókēsis ( apparition, phantom ), according to Norbert Brox, is defined narrowly as " the doctrine according to which the phenomenon of Christ, his historical and bodily existence, and thus above all the human form of Jesus, was altogether mere semblance without any true reality.

A small business is defined as one which is independently owned and operated and which is not dominant in its field.

Where boundary maintenance describes the boundaries or limits of the group, systemic linkage is defined `` as the process whereby one or more of the elements of at least two social systems is articulated in such a manner that the two systems in some ways and on some occasions may be viewed as a single unit.

Even those who appear in only one or two scenes are full personalities, defined with economical precision.

Used in this sense, it usually contrasted to egoism, which is defined as acting to the benefit of one self.

The ampere was originally defined as one tenth of the CGS system electromagnetic unit of current ( now known as the abampere ), the amount of current that generates a force of two dynes per centimetre of length between two wires one centimetre apart.

Most narrowly, one may consider numbers explicitly defined in terms of polynomials, exponentials, and logarithms – this does not include algebraic numbers, but does include some simple transcendental numbers such as e or log ( 2 ).

However, this school was not one of the " Ten Schools " defined by Hanshu.

In mathematics, the unit square is defined to have area one, and the area of any other shape or surface is a dimensionless real number.

Each gate consisted of one inverting vacuum tube amplifier, preceded by a resistor divider input network that defined the logical function.

In this case, the absolute magnitude is defined as the apparent magnitude that the object would have if it were one astronomical unit ( AU ) from both the Sun and the observer.

This is one of a series of articles about the differences between British English and American English, which, for the purposes of these articles, are defined as follows:

Tolstoy defined art ( and by no coincidence also characterized its value ) as the following: " Art is a human activity consisting in this, that one man consciously, by means of certain external signs, hands on to others feelings he has lived through, and that other people are infected by these feelings and also experience them.

Since one degree is defined as one three hundred and sixtieth () of a rotation, one minute of arc is of a rotation.

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.

Of the various two-argument versions, the one developed by Péter and Robinson ( called " the " Ackermann function by some authors ) is defined for nonnegative integers m and n as follows:

If we define the function f ( n ) = A ( n, n ), which increases both m and n at the same time, we have a function of one variable that dwarfs every primitive recursive function, including very fast-growing functions such as the exponential function, the factorial function, multi-and superfactorial functions, and even functions defined using Knuth's up-arrow notation ( except when the indexed up-arrow is used ).

To holders of this view, one's orientation is defined by whom one is predisposed to fall in love with, whether or not one desires that person sexually.

The acute withdrawal phase can be defined as lasting between one to three weeks.

Moderate use is defined by The Dietary Guidelines for Americans as no more than two alcoholic beverages a day for men and no more than one alcoholic beverage a day for women.

In information theory, one bit is typically defined as the uncertainty of a binary random variable that is 0 or 1 with equal probability, or the information that is gained when the value of such a variable becomes known.

For instance, division of real numbers is a partial function, because one can't divide by zero: a / 0 is not defined for any real a.