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, 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, 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 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, 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 ).

Similarly, in 1971, Alistair Campbell stated that the apologue technique used in Beowulf is so infrequent in the epic tradition aside from when Virgil uses it that the poet who composed Beowulf could not have written the poem in such a manner without first coming across Virgil's writings.

Similarly, as Frodo nears Mount Doom he casts aside weapons and refuses to fight others with physical force: " For him struggles for the right must hereafter be waged only on the moral plane.

Similarly, as part of its role in signal transmission, perivascular spaces contain vasoactive neuropeptides ( VNs ), which, aside from regulating blood pressure and heart rate, have an integral role in controlling microglia.

Similarly desperate losses were suffered elsewhere on the front, in a disastrous day for the British Army ( approximately 19, 000 British soldiers were killed in a single day ).

Similarly, as the values of x become smaller and smaller, say. 01,. 001,. 0001, ..., making them infinitesimal relative to the scale shown, the corresponding values of y, 100, 1000, 10, 000 ..., become larger and larger.

Similarly, the Multicenter AIDS Cohort Study ( MACS ) and the Women's Interagency HIV Study ( WIHS ) — which between them observed more than 8, 000 Americans — demonstrated that "... the presence of HIV infection is the only factor that is strongly and consistently associated with the conditions that define AIDS.

Similarly, if the house was located in an undesirable neighborhood and the Federal Reserve Bank was about to raise interest rates by five percentage points, then the risk factor would be a lot higher than 5 %: it might not be possible for him to predict a profit in discounted terms even if he thinks he could sell the house for $ 200, 000 in three years.

To avoid this ambiguity, the number could be represented in scientific notation: 8. 0 × 10 < sup > 3 </ sup > m indicates that the first zero is significant ( hence a margin of 50 m ) while 8. 000 × 10 < sup > 3 </ sup > m indicates that all three zeroes are significant, giving a margin of 0. 5 m. Similarly, it is possible to use a multiple of the basic measurement unit: 8. 0 km is equivalent to 8. 0 × 10 < sup > 3 </ sup > m. In fact, it indicates a margin of 0. 05 km ( 50 m ).

" Similarly, historian Victor Davis Hanson believes both armies were roughly the same size, about 30, 000 men.

Similarly, in Cook v Evatt ( No. 2 ), Fisher J in the New Zealand High Court added exemplary damages of NZ $ 5, 000 to an account of profits of over NZ $ 20, 000 for breach of fiduciary duty.

Similarly, when the balloon rose above about 11. 6 km ( 38, 000 ft ), the altimeter activated a valve to vent hydrogen.

Similarly, UMG Recordings, Inc. was fined US $ 400, 000 for COPPA violations in connection with a Web site that promoted the then 13-year-old pop star Lil ' Romeo, and hosted child-oriented games and activities, and Bonzi Software, which offered downloads of an animated figure " BonziBuddy " that provided shopping advice, jokes, and trivia was fined US $ 75, 000 for COPPA violations.

Contrary to earlier observations, recent studies emerging from some developing countries ( India, Bangladesh and Indonesia ) have strongly suggested that dosing expectant mothers in the population in which vitamin A deficiency is common and maternal mortality is high can greatly reduce maternal mortality ratio Similarly, dosing newborn infants with 50, 000 IU ( 15 mg ) of vitamin A within 2 days of birth, can significantly reduce neonatal mortality

Similarly, if Tom crosses out that clause and writes in the margin "$ 5, 000 to Betty Smith " without signing or dating the writing, the gift to Alice will be effectively revoked.

Similarly, in an article by CNN Money, Yorba Linda was one of the richest U. S. cities and the richest in Orange County as reported by the Census data, showing a median household income of more than $ 120K: " Among towns of between 65, 000 and 250, 000 in population, Yorba Linda, California, where six-figure incomes are the rule, had the highest median income at $ 121, 075 "

Similarly, his features were never shown on television as Lloyd's price was high: " I want $ 300, 000 per picture for two showings.

Similarly, in Samoa in November 1918, 20 % of the population of 38, 000 died within two months.

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, in 1965 there were 12 television and 93 radio stations in mainland China ; today there are approximately 700 conventional television stations — plus about 3, 000 cable channels — and 1, 000 radio stations.

Similarly, the Hawaiian language has only about 1, 000 speakers but it has stabilized at this number, and now has school instruction in the language, from Pūnana Leo Hawaiian immersion preschool classes and Ke Kula Kaiāpuni Hawaiʻi, Hawaiian immersion schools kindergarten through the 12th grade.

Similarly, " The Beehive " could be argued to equal 60000 points, as there would be at least 10, 000 bees in a beehive ; conversely it could be argued to gain twelve points as the number of bees are not specified.

Similarly, the same owner may also write negative reviews of his competitors businesses ... Additionally, as per the authentic testimonials blog " Just do a search on the recent phenom website fiverr. com using the search term “ testimonial ” or “ review ” and there are almost 5, 000 results of people offering to “ write great testimonial for your product or service ”.

Similarly, the Cunard Line's and, of approximately 81, 000 – 83, 000 GT, but displacements of over 80, 000 tons, do not differ significantly in displacement from their new 148, 528 GT successor,, which has been estimated to displace approximately 76, 000 tons With the completion in 2009 of Oasis of the Seas, the first of the Oasis Class ships, the Cunard Queens of the 1930s have clearly been passed in displacement, as the Oasis vessels were projected to displace about 100, 000 tons.