Similarly, the subset order ⊆ on the subsets of any given set is antisymmetric: given two sets A and B, if every element in A also is in B and every element in B is also in A, then A and B must contain all the same elements and therefore be equal:

Similarly, P is said to satisfy the descending chain condition ( DCC ) if every descending chain of elements eventually terminates, or equivalently if any descending sequence

" The first, another word for " angry ," is " fuming ," which ends in " g ." The second, " hungry ," at least when personified, is " eager " which ends in " r ." Similarly, the third word is " every ," which ends in " y " and is clearly used by the word " everyone.

Similarly, in the Hebrew calendar ( a lunisolar calendar ), Adar Aleph, a 13th lunar month is added seven times every 19 years to the twelve lunar months in its common years to keep its calendar year from drifting through the seasons too rapidly.

" Similarly, Irenaeus wrote that the Christian " will not be commanded to leave idle one day of rest, who is constantly keeping sabbath ", and Tertullian argued " that we still more ought to observe a sabbath from all servile work always, and not only every seventh-day, but through all time ".

Similarly the set of all vectors in which is rational for all i is a countable dense subset of ; so for every the-dimensional Euclidean space is separable.

Similarly, for every hidden argument that completely or partially justifies observed evils it is equally likely that there is a hidden argument that actually makes the observed evils worse than they appear without hidden arguments.

Similarly, for every point below 9 possessed in each of these attributes, the character receives a one-point penalty.

Similarly, they were, at one time or another, at war with virtually every other Native American group living in the Great Plains, leaving opportunities for political maneuvering by European colonial powers and the United States.

Similarly, every Boolean algebra becomes a Boolean ring thus:

Similarly, if every preimage of a base element of Y is open in X, then f is continuous.

* Similarly, the empty space is the unique initial object in the category of topological spaces ; every one-point space is a terminal object in this category.

Similarly, in the category of pointed topological spaces, every singleton is a zero object.

Similarly, a flood level expected to be equaled or exceeded every 10 years on average is known as a ten-year flood.

Similarly, an integral domain is a Dedekind domain if and only if every divisible module over it is injective.

Similarly, Fairburn et al .’ s cognitive behavioral model of bulimia nervosa is not necessarily applicable to every individual and is certainly reductionist.

Similarly, every United States employee was given a paid six-week sabbatical every four years, beyond generous regular vacation accruals.

Similarly, Kilpatrick, Resnick, Ruggiero, Conoscenti, & McCauley ( 2007 ) found in a study of 2, 000 college women nationwide that 5. 2 % experienced rape every year.

Similarly, the film Mr. Deeds shows the main character Adam Sandler purchasing a Chevrolet Corvette for every resident of his town.

Similarly, the authors quote a 1985 lecture by Eliyahu Rips, in which he describes the appellation selection process as taking " every possible variant that we considered reasonable ", and makes no mention of Havlin or an independent expert.

Similarly, private stations sprung up throughout the country, in every city and region and most towns.

Similarly, for every point on the radical axis of circles 2 and 3, the powers must be equal, h < sub > 2 </ sub > = h < sub > 3 </ sub >.

Similarly, although a subset of the real numbers that is not Lebesgue measurable can be proven to exist using the axiom of choice, it is consistent that no such set is definable.

Similarly, a consequentialist theory may aim at the maximization of a particular virtue or set of virtues.

Similarly, the set of rational numbers in the closed interval is not compact: the sets of rational numbers in the intervals and cover all the rationals in for but this cover does not have a finite subcover.

Similarly, the set of organisms that can potentially be present in an area can also have a major impact on ecosystems.

Similarly for p ( 2 ), the set of limit points of p ( 1 ), and so on.

Similarly, in an edict of the Emperor Diocletian from AD 303, which set maximum prices of goods and services, the price of saddles, halters, and bridles are enumerated, as well as the price of a veterinarian for " cutting the hair and hoof of each animal.

Similarly, the most popular Arthurian tale throughout this period seems to have been that of Tom Thumb, which was told first through chapbooks and later through the political plays of Henry Fielding ; although the action is clearly set in Arthurian Britain, the treatment is humorous and Arthur appears as a primarily comedic version of his romance character.

Similarly, the set of all solutions to Einstein's field equations is simpler than a specific solution.

Similarly, in the power formulation, power can be distributed by generating a set of rays from the radiating element in the same way, and spreading the power to be distributed equally between each element a ray hits.

Similarly, Watson's appeal was successful, and the verdict was set aside pending a new trial.

Similarly, the additive group Z of integers is not simple ; the set of even integers is a non-trivial proper normal subgroup.

Similarly, the question of whether there exists a set whose cardinality is between | S | and | P ( S )| for some infinite S leads to the generalized continuum hypothesis.

Similarly, his conducting technique as described by contemporary sources appears to set the groundwork for the clarity and precision favoured in the French School of conducting right up to the present, exemplified by such figures as Pierre Monteux, Désiré-Émile Inghelbrecht, Paul Paray, Charles Munch, André Cluytens, Pierre Boulez and Charles Dutoit.

Similarly, once it is determined which substrates are ubiquitinated by each ligase, determining the set of ligases expressed in a particular cell type will be helpful.

Similarly, Henry Purcell wrote the opera " Dido and Aeneas ", which is based on themes from Classical Antiquity and is set in the immediate aftermath of the Trojan War ; yet, he provided Dido ( Queen of Carthage ) with a sister called " Belinda "-a name which is probably of Germanic origin and certainly did not exist before the Middle Ages.

Similarly, the saying, if it walks like a duck and quacks like a duck, it must be some kind of duck, may be regarded as involving a sort of measurement process or set of tests ( see duck test ).

Similarly, the " species of partitions " can be defined by assigning to each finite set the set of all its partitions, and the " power set species " assigns to each finite set its power set.

Similarly, any set with 4 elements can be given two non-isomorphic group structures: one isomorphic to ; the other isomorphic to.

Similarly, when Joan reveals her plan to turn Burgundy against the English, Alençon declares, " We'll set thy statute in some holy place / And have thee reverenced like a blessed saint " ( 3. 3. 14 – 15 ).