* The rational numbers, expressed as the quotient of two integers a and b, b not equal to zero, satisfy the above definition because is the root of.

Prisms and antiprisms, whose symmetry groups are the dihedral groups, are generally not considered to be Archimedean solids, despite meeting the above definition.

In fact anode polarity depends on the device type, and sometimes even in which mode it operates, as per the above electric current direction-based universal definition.

From the above, it is possible to reformulate the definition to either of the following:

There is a larger class of number-theoretic functions that do not fit the above definition, e. g. the prime-counting functions.

According to the definition above, two relations with the same graph may be different, if they differ in the sets and.

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.

Although sometimes referred to as a coalition government, according to the definition above, it was not.

The above definition imposes no constraints on η ( 0 ), even though it is assumed that η ( k ) tends to zero as k tends to zero.

Because the above expression is equal to the difference, by the definition of the derivative is differentiable at a and its derivative is f ′( g ( a )) g ′( 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.

The informal definition above is subject to a rounding problem called the table-maker's dilemma whereas the modern definition is not.

First, State coercion may very easily be arbitrary – indeed technically very specific, according to the above definition.

Given the definition of above, we might fix ( or ' bind ') the first argument, producing a function of type.

The above definition of the commutator is used by some group theorists.

The above definition of the conjugate of a by x is used by some group theorists.

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.

The four definitions given above are special cases of a more general definition.

Famine is classified by Rummel as democide if it fits the definition above.

In this case the definition above has no explicit instructions, so in both languages access to the slots and methods is considered, meaning they can be used only by subclasses.

In addition to the definition above, there is an equivalent definition.

and the success of such an endeavor is, as suggested above, glaringly rare.

This is what was meant, above, by describing history as inferential.

Its success is a tribute, above all, to Trevelyan's brilliance as a literary stylist.

It is but justice to Mr. Steele for us to add that, in the above remarks, nothing is intended to his disparagement, either as a lawyer or as a printer.

Actually it amounts to $1,250,000 above what the institution already is receiving, considering the additional half-million dollars Gov. Vandiver allocated last year from the state surplus.

Khrushchev, for all his bombastic prophecies about the inevitable decay of capitalism, is genuinely favorable to `` peaceful coexistence '' and would like, above all, the Berlin and German problems to be settled peacefully ; ;

The credit provdied by the first two services in the system outlined above is primarily for general agricultural purposes.

Expansion and relocation of industry in Rhode Island is the direct responsibility of the Development Council's Industrial Division, and the figures quoted above indicate a successful year's operation.

In all other States it is the difference obtained by subtracting from 100 the result obtained in item 4 above ; ;

Determine if the particular State's unadjusted allotment ( result obtained in item 11 above ) is greater than its maximum allotment, and if so lower its unadjusted allotment to its maximum allotment.

Determine if the particular State's unadjusted allotment ( result obtained in item 11 above ) is less than its minimum ( base ) allotment, and if so raise its unadjusted allotment to its minimum allotment.

The funds recouped by reductions in item 12 above are used: first, to increase the unadjusted allotments to the specified minimum in those States where the unadjusted allotment is less than the minimum allotment ( item 13 above ) ; ;

In all other States it is the difference obtained by subtracting from 100 the result obtained in item 4 above ; ;

It is agreed that any goods delivered or services rendered after the date of this agreement for projects within categories A, B, and C under paragraph 2 above which may later be approved by the United States will be eligible for financing from currency granted or loaned to the Government of India.

I therefore believe it is realistic to assume a modest drop in the total value of home entertainment electronics to about $1.8 million, slightly below 1960, but above 1959.

The symbol for division is a straight line that separates two numbers placed one above the other.

Flash is allowed, subject to above restrictions.

Foliage is the outstanding photo subject in many of the Southern locales mentioned above and some specific tips on how and where to shoot it are in order.

The sink in the hinged panel above the bunk drains into the head and a five-gallon water tank is mounted on the bulkhead above the sink.

whose chord is one hundred and sixty feet, and whose vortex is forty feet ( it was actually 37 feet ) above the high-water mark.

Even if you live above that line, the FHA will back you, for they have decided that the inclusion of air conditioning in all new homes is a good thing and should be encouraged.