Still others see the Millennium as symbolic of a spiritual ideal, with no corresponding earthly condition.

Under the theta condition ( also called the Flory condition ), the polymer behaves like an ideal random coil.

# Every finitely generated ideal of A is principal ( i. e., A is a Bézout domain ) and A satisfies the ascending chain condition on principal ideals.

The warm weather and fertile soil of southern Vietnam create an ideal condition for growing a wide variety of fruits, vegetables, and livestock.

For example, for an electromagnetic wave, if the box has ideal metal walls, the condition for nodes at the walls results because the metal walls cannot support a tangential electric field, forcing the wave to have zero amplitude at the wall.

Therefore, at a particular speed, called the tuning speed, the two moments cancel each other, freeing the rotor from torque, a necessary condition for an ideal gyroscope.

The kernel of σ is an ideal of E which cannot be the whole field E, because of the condition σ ( 1 )= 1.

In biology, most biochemical processes strive to maintain equilibrium, a steady state that exists more as an ideal and less as an achievable condition.

Fish that mix well in an aquarium are guppies, other types of tetras, such as the rummy-nose tetra, cardinal tetra, and glowlight tetra, and other community fish that live well in an ideal tetra water condition.

He seems to have described them as first, original lines, and in a similar sense to have spoken of original plain figures and bodies, convinced that the principia of the existent should be sought not in the material, not in the divisible which attains to the condition of a phenomenon, but merely in the ideal definitude of form.

It follows from condition ( 3 ) that every left or right ideal is a subalgebra.

It is important to notice that this definition is different from the definition of an ideal of a ring, in that here we require the condition ( 2 ).

The three patriarchs were intended as types of the ideal cosmopolitan condition of the world.

Nevertheless, their thermodynamic properties are well-defined, usually by an extrapolation from some limiting condition, such as zero pressure or zero concentration, to a specified condition ( usually unit concentration or pressure ) using an ideal extrapolating function, such as ideal solution or ideal gas behavior, or by empirical measurements.

But while the circumstances of divorce might be shameful or embarrassing, and remaining married to the same person for life was ideal, there was no general disapproval of remarriage ; on the contrary, marriage was considered the right and desirable condition of adult life for both men and women.

The proportionality constant was called an affinity constant, k. The equilibrium condition for an " ideal " reaction was thus given the simplified form

If the condition of generating a prime ideal is removed, such a set is called a projective algebraic set.

A normal Hopf subalgebra A in H satisfies the condition ( of equality of subsets of H ): HA < sup >+</ sup > = A < sup >+</ sup > H where A < sup >+</ sup > denotes the kernel of the counit on K. This normality condition implies that HA < sup >+</ sup > is a Hopf ideal of H ( i. e. an algebra ideal in the kernel of the counit, a coalgebra coideal and stable under the antipode ).

Many of these aspects will be seen as comparable to those of the ideal detective, but where the detective is active and militant, the jazz musician is passive, almost a victim of society.

In instances where both of these are persons or firms with integrity, the situation is ideal.

The first three of these prizes are awarded for eminence in physical science, in chemistry and in medical science or physiology ; the fourth is for literary work " in an ideal direction " and the fifth prize is to be given to the person or society that renders the greatest service to the cause of international fraternity, in the suppression or reduction of standing armies, or in the establishment or furtherance of peace congresses.

It emphasizes a particular ideal in each of these three realms of society:

The ideal gas law or another equation of state is often used in conjunction with these equations to form a determined system to solve for the unknown variables.

On the other hand, were surface regions with lower energy available, the water occupying surface locations of higher potential energy would move to occupy these positions of lower energy, inasmuch as there is no barrier to lateral movement in an ideal liquid.

These wines continue to be associated with the homeless, mainly because marketers have been aggressive in targeting low-income communities as ideal consumers of these beverages ; organizations in cities such as Los Angeles, San Francisco, Seattle, and Portland have urged makers of inexpensive fortified wine, including E & J Gallo Winery, to stop providing such products to liquor stores in impoverished areas.

If one takes the median of 17 of these 22 compositions for rockets ( 75 % nitrates, 9. 06 % sulfur, and 15. 94 % carbon ), it is nearly identical to the modern reported ideal gunpowder recipe of 75 % potassium nitrate, 10 % sulfur, and 15 % carbon.

In order to maintain security, the province required the presence of three legions ; but command of these forces provided an ideal power base for ambitious rivals.

Despite these benefits, carbon ink is not ideal for permanence and ease of preservation.

In these works, he revealed the psychological damage his physical limitations ( having a clubbed foot, and, in a lesser sense being so far from the Aryan ideal, having brown eyes and dark brown hair and standing at only 5 ' 5 ) had caused.

He divided livelihood into four areas: food, clothing, housing, and transportation ; and planned out how an ideal ( Chinese ) government can take care of these for its people.

In the process, however, there is a danger that these areas, which are ideal for wildlife, will become threatened.

Companies that take advantage of economies of scale often run into problems of bureaucracy ; these factors interact to produce an " ideal " size for a company, at which the company's average cost of production is minimized.

Octal was an ideal abbreviation of binary for these machines because their word size is divisible by three ( each octal digit represents three binary digits ).

While these old maps are originally seen as representation of Christian proselytizing influence, they also exude an ideal of European supremacy.

First Plato and Aristotle, and then Polybius and Cicero, developed the notion that the ideal republic is a mixture of these three forms of government.

Addition and subtraction of even numbers preserves evenness, and multiplying an even number by any other integer results in another even number ; these closure and absorption properties are the defining properties of an ideal.

With the high infrared energy input from the central star, ideal conditions are formed in these circumstellar envelopes for maser excitation.

Of these the world is built up, by the agency of two ideal motive forces-love as the cause of union, strife as the cause of separation.

All of these qualities make them ideal for simple and appealing sauces.

Although not as ideal as " pit stoves ", these allow woks to be used in a manner more suitable for their design and are good enough for most tasks required in home cooking.

The ideal environment to fully carry out these customs is the traditional multi-generation country household.

The ideal site was described by these criteria:

The industry norm can be argued to be anything between 93 %- 96 % when a UPS is in full operational mode, and to reach these figures companies often put their UPS in an ideal scenario.