The ideal scenario according to Bowen's reaction series would see a granite melt begin crystallizing a cumulate assemblage of plagioclase and hornblende ( i. e. ; tonalite or diorite ), which is low in K ( and hence Rb ) but high in Sr ( as this substitutes for Ca ), which proportionally enriches the melt in K and Rb.

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.

His ideal scenario would have been a return to first club Toulouse, where he could be close enough to allow him to take care of his sick mother.

The short supply of food, which was often of low quality or rotting, combined with the cramped living space of the defenders, poor hygiene, and vermin infestations provided an ideal scenario for the spread of disease.

In the most ideal scenario, Saavedro returns to Narayan peacefully after giving back the book of Releeshahn.

The ideal scenario test is a story that is motivating, credible, complex, and easy to evaluate.

On human nature, Boethius says that humans are essentially good and only when they give in to “ wickedness ” do they “ sink to the level of being an animal .” On justice, he says criminals are not to be abused, rather treated with sympathy and respect, using the analogy of doctor and patient to illustrate the ideal relationship between prosecutor and criminal.

Contrary to brownian motion, which is the diffusion of a single particle, interactions between particles may have to be considered, unless the particles form an ideal mix with their solvent ( ideal mix conditions correspond to the case where the interactions between the solvent and particles are identical to the interactions between particles and the interactions between solvent molecules ; in this case, the particles do not interact when inside the solvent ).

In Canto X Circle 6 (" Where the heretics lie ") of Dante's Inferno, Epicurus and his followers are criticized for supporting a materialistic ideal when they are mentioned to have been condemned to the Circle of Heresy.

In a ring all of whose ideals are principal ( a principal ideal domain or PID ), this ideal will be identical with the set of multiples of some ring element d ; then this d is a greatest common divisor of a and b. But the ideal ( a, b ) can be useful even when there is no greatest common divisor of a and b. ( Indeed, Ernst Kummer used this ideal as a replacement for a gcd in his treatment of Fermat's Last Theorem, although he envisioned it as the set of multiples of some hypothetical, or ideal, ring element d, whence the ring-theoretic term.

Though Dowland was highly regarded by King Christian, he was not the ideal servant, often overstaying his leave when he went to England on publishing business or for other reasons.

There are various method employed to " cast on ," such as the " thumb method " ( also known as " slingshot " or " long-tail " cast-ons ), where the stitches are created by a series of loops that will, when knitted, give a very loose edge ideal for " picking up stitches " and knitting a border ; the " double needle method " ( also known as " knit-on " or " cable cast-on "), whereby each loop placed on the needle is then " knitted on ," which produces a firmer edge ideal on its own as a border ; and many more.

Meanwhile, the prince Gisulf I of Salerno began using the title Langobardorum gentis princeps around mid-century, but the ideal of a united Lombard principality was realised only in December 977, when Gisulf died and his domains were inherited by Pandulf Ironhead, who temporarily held almost all Italy south of Rome and brought the Lombards into alliance with the Holy Roman Empire.

Thus is a field when is a maximal ideal, that is, when is prime.

Some stations insert a short snippet of stand-up comedy (" 5 O ' Clock Funnies ") around 5 o ' clock when commuters leave work, or play specifically selected " car tunes " ideal for listening while driving.

Detailed computer analysis has been done to determine the ideal strategy, but this requires memorizing large tables ; a close approximation can be done with only a few rules of thumb: when playing in a casino and in doubt, a player can always ask that his hand be set house way.

This method is ideal for protecting hardware bit-mapped registers when the bits are controlled by different tasks.

The ideal pattern would be a circle with an even distribution of shot throughout, with a density sufficient to ensure enough pellets will intersect the target to achieve the desired result, such as a kill when hunting or a break when shooting clay targets.

The direction of the wind is ideal when reaching because it can maximize the lift generated on the sails in the forward direction of the boat, giving the best boat speed.

An ideal switch would have no voltage drop when closed, and would have no limits on voltage or current rating.

Chiron's wedding-gift to Peleus when he married the nymph Thetis in classical Greek mythology, was an ashen spear as the nature of ashwood with its straight grain made it an ideal choice of wood for a spear.

In turn, both Gwendolen and Cecily have the ideal of marrying a man named Ernest, a popular and respected name at the time, and they indignantly declare that they have been deceived when they find out the men's real names.

Bézout's lemma is true in any principal ideal domain, but there are integral domains in which it is not true.

As noted in the introduction, Bézout's identity works not only in the ring of integers, but also in any other principal ideal domain ( PID ).

The particular characteristics of this ideal observer can vary from an omniscient observer, who would grasp all the consequences of any action, to an ideally informed observer, who knows as much as could reasonably be expected, but not necessarily all the circumstances or all the possible consequences.

Few individual situations will provide the ideal mix of materials at any point in time.

The property ( EF1 ) can be restated as follows: for any principal ideal I of R with nonzero generator b, all nonzero classes of the quotient ring R / I have a representative r with.

In fact, if I is a nonzero ideal of R then any element a of I

At the first Esperanto congress, in Boulogne-sur-Mer in 1905, a declaration was made which defined an " Esperantist " merely as one who knows and uses the language " regardless of what kind of aims he uses it for ", and which also specifically declared any ideal beyond the spread of the language itself to be a private matter for the individual speaker.

The Southern belle was bred to conform to a subspecies of the nineteenth-century " lady "... For Scarlett, the ideal is embodied in her adored mother, the saintly Ellen, whose back is never seen to rest against the back of any chair on which she sits, whose broken spirit everywhere is mistaken for righteous calm ...

In ideal circumstances, PBDE and related endocrine disruptors that seriously damage health would not be present in the blood of any animals or humans.

A few modern scholars have argued that Herodotus exaggerated the extent of his travels and invented his sources yet his reputation continues largely intact: " The Father of History is also the father of comparative anthropology ", " the father of ethnography ", and he is " more modern than any other ancient historian in his approach to the ideal of total history ".

Plato's theory of forms or " ideas " describes ideal forms ( for example the platonic solids in geometry or abstracts like Goodness and Justice ), as universals existing independently of any particular instance.

Murray Bookchin has put it this way " what of the syndicalist ideal of " collectivized " self-managed enterprises that are coordinated by like occupations on a national level and coordinated geographically by " collectives " on a local level ?... Here, the traditional socialist criticism of this syndicalist form of economic management is not without its point: the corporate or private capitalist, " worker-controlled " or not "” ironically, a technique in the repertoire of industrial management that is coming very much into vogue today as " workplace democracy " and " employee ownership " and constitutes no threat whatever to private property and capitalism ... In any case, " economic democracy " has not simply meant " workplace democracy " and " employee ownership.

His genius, perhaps more than that of any other figure, epitomized the Renaissance humanist ideal.

Although a combination treatment program may be ideal, any of the treatments can be done individually.

A moral rationalist may adhere to any number of different semantic theories as well ; moral realism is compatible with rationalism, and the subjectivist ideal observer theory and noncognitivist universal prescriptivism both entail it.

More generally, whenever an ideal is taken as understood, then a null set is any element of that ideal.

* In any ring R, a maximal ideal is an ideal M that is maximal in the set of all proper ideals of R, i. e. M is contained in exactly 2 ideals of R, namely M itself and the entire ring R. Every maximal ideal is in fact prime.

Principal ideal domains are thus mathematical objects which behave somewhat like the integers, with respect to divisibility: any element of a PID has a unique decomposition into prime elements ( so an analogue of the fundamental theorem of arithmetic holds ); any two elements of a PID have a greatest common divisor ( although it may not be possible to find it using the Euclidean algorithm ).

In a principal ideal domain, any two elements a, b have a greatest common divisor, which may be obtained as a generator of the ideal ( a, b ).