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 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, hospital emergency codes often incorporate colors ( such as the widely used " Code Blue " indicating a cardiac arrest ), although they may also include numbers, and may not conform to a uniform standard.

The geometric mean of two numbers, a and b, is the length of one side of a square whose area is equal to the area of a rectangle with sides of lengths a and b. Similarly, the geometric mean of three numbers, a, b, and c, is the length of one side of a cube whose volume is the same as that of a cuboid with sides whose lengths are equal to the three given numbers.

) Similarly, there is no statistical basis for the belief that a losing sports team is due to win a game or that lottery numbers which haven't appeared recently are due to appear soon.

Similarly, a mathematician does not restrict his study of numbers to the integers ; rather he considers more abstract structures such as rings, and in particular number rings in the context of algebraic number theory.

Similarly, the syntactical-descriptive colon separates chapter and verse numbers in citations of passages in widely-studied texts, such as epic poetry, religious texts, and the plays of William Shakespeare.

Similarly, in the Iliad ( without referring to these transformations ) Nestor numbers Caeneus among an earlier generation of heroes of his youth, " the strongest men that Earth has bred, the strongest men against the strongest enemies, a savage mountain-dwelling tribe whom they utterly destroyed.

Similarly the statement " All natural numbers are either prime or composite " has the number 1 as a counterexample as 1 is neither prime nor composite.

Similarly, a difference in chemical potential between groups of particles in the system drives a chemical reaction that changes the numbers of particles, and the corresponding product is the amount of chemical potential energy transformed in process.

Similarly, the law of large numbers states that in the long term, the average will tend towards the expected value, but makes no statement about individual trials.

Similarly, in disputes between clans the chiefs served as procurators ( legal agents ) for the disputants in their clan and put the case to an arbitration panel of equal numbers of gentry from each clan presided over by a neighbouring chief or landlord.

Similarly, fax numbers do not need to be included in the registry due to existing federal laws and regulations that prohibit the sending of unsolicited faxes.

Similarly, in Scotland, important roads radiating from Edinburgh have single-digit numbers, thus:

Similarly, The number 1 is the " multiplicative identity " for integers, real numbers, and complex numbers.

Similarly, a Cunningham chain of the second kind of length n is a sequence of prime numbers ( p < sub > 1 </ sub >,..., p < sub > n </ sub >) such that for all 1 ≤ i < n, p < sub > i + 1 </ sub >

Similarly, this is how we often memorize telephone numbers, by breaking them up into the three sections: an area code, followed by a three-digit number and then a four-digit number.

Similarly, Thomas Crompton & Sons in Gerard Street, which would eventually employ around 1, 200 workers, superseded the subcontracting system that sustained substantial numbers of locally based blacksmiths and other craftsmen.

Similarly, any multiple of four is a difference of the squares of two numbers that differ by two: ( k + 2 )< sup > 2 </ sup >-k < sup > 2 </ sup > = 4k + 4.

Similarly, the numbers from 1 to 365 were written down and placed into capsules in the order dictated by the raw permutation.

Similarly to the E-road network the Asian highway numbers may simply be added to existing signage.

) Similarly, places that share names are organised alphabetically by country, then by ever-smaller political divisions.

Similarly, most of Ibn Juzayy's descriptions of places in Palestine were copied from an account by the 13th-century traveller Muhammad al-Abdari.

Similarly, utilitarianism places no direct intrinsic value on biodiversity, although as far as indirect, contingent value, it most probably does.

Similarly, Arizona retains a shall-issue permit process, both for reciprocity purposes and because permit holders are allowed to carry concealed handguns in certain places ( such as bars and restaurants that serve alcohol ) that non-permit holders are not.

Similarly, a large two dimensional dove figure would be, and in some places still are, cut out of wood, painted and decorated with flowers, to be lowered over the people, particularly during the singing of the sequence hymn, or Veni Creator Spiritus.

Similarly, other important places, such as Wall Street and Hollywood are commonly used to refer to the industries that are located there ( finance and entertainment, respectively ).

Similarly whistling in certain places would invite devil, while singing would invite god.

Similarly, Bengaluru Habba ( ಬ ೆಂ ಗಳ ೂ ರ ು ಹಬ ್ ಬ ) is a congregation of art performances at different places of the city which was initiated fairly recently and is successfully celebrated every year.

Similarly, describing an attack or bombing as a " response " or " retaliation " again places the events in a different light.

Similarly, the places themselves were very different from one another visually, environmentally, architecturally, in goods and services available, etc.

Similarly he conducts a tour of holy places in India and neighbouring countries.

: Similarly, in places where-αε-contracts to-α-or-αει-contracts to-ᾳ -, Homeric Greek will show either αα or αᾳ.

Similarly, in New Zealand, many places have dual Maori and English names, such as Aoraki / Mount Cook.

Similarly, one may put dots in places where a bulb would " trap " another unlit cell, making it impossible to light it up without breaking the rules.

Similarly malaria is now found in new places because it is spread by particular mosquito species that are migrating to new locations as a result of changing climates.

Similarly, BBC interactive television services all offered a horizontal i-bar along the bottom of television screens, with four colour-coded interactions linked to the four colour buttons on TV remote controls.

" Similarly, Krantz argues that of the many opinions offered about the Patterson film, " nly a few of these opinions are based on technical expertise and careful study of the film itself "

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.

Similarly, in La Paz, connecting flights to the Peruvia towns of Arequipa and Lima were offered in co-operation with Deutsche Lufthansa Peru.

" Similarly, journalist Matt Taibbi has said of Friedman's writing that, " Friedman came up with lines so hilarious you couldn't make them up even if you were trying – and when you tried to actually picture the ' illustrative ' figures of speech he offered to explain himself, what you often ended up with was pure physical comedy of the Buster Keaton / Three Stooges school, with whole nations and peoples slipping and falling on the misplaced banana peels of his literary endeavors.

Similarly, a $ 1 million Grand Slam Prize was offered in harness racing to the owners of a trotter that could win the Hambletonian ( Meadowlands Racetrack, N. J .), the World Trotting Derby ( DuQuoin State Fair, Ill .), the Kentucky Futurity ( The Red Mile, Lexington, Kentucky ) and their Breeders Crown event ( Meadowlands Racetrack, NJ ).

Similarly, the First Androids company once offered a wide range of options to enhance the realism of its dolls, including heated orifices.

Similarly, in many cases, Roman Law was previously a preliminary course, whereas, it is now offered as an elective.

Similarly, the original Truman Capote novella on which Breakfast at Tiffany's was based ended with Holly Golightly's going off to Brazil and disappearing from the protagonist's life — while in the film it was changed to her accepting the love he offered her and their famous kiss in the rain.

Similarly, in its spin-off show Stargate Atlantis, the explanation offered for the humanoid appearance of the Wraith is that the Wraith evolved from a parasite which incorporated human DNA into its own genome after feeding on humans, giving the Wraith their present form.

" Similarly, Karl Friedrich Nebenius, later president of the Ducal Ministry in the Grand Duchy of Baden and the author of Baden's 1819 proposed customs initiative with the German Confederation, offered a widely publicized description about the difficulties of surmounting such protections:

Similarly, when Jewish refugees fled or were driven out of Arab countries, no help was offered, but elaborate arrangements were made for Arabs who fled or were driven out of the area that became Israel.

Similarly, an overnight guest is offered the best sleeping arrangements, even if this greatly inconveniences the rest of the family.

Similarly, in the 1950s, the UK TV show Take Your Pick offered contestants the choice of taking a money offer or risking opening a box.

Similarly, in the Quillota campus the program in horticulture is offered within an experimental station.

Similarly, Canadian Ford dealers offered the Monarch, a car based on the Mercury.

Similarly in England, the Regent House of the University of Cambridge, which is the legislative body, delegates certain functions to special committees of its members, appointed from time to time by Grace ( a proposal offered to the Regent House and confirmed by it ); these committees are termed " syndicates " and are permanent or occasional, and the members are styled " the syndics " of the particular committee or of the institution which they administer ; thus there are the syndics of the Fitzwilliam Museum, of the Cambridge University Press, of local examinations, etc.

Similarly, credit cards are offered in conjunction with MBNA.

Similarly, Siena offered the Signoria to Cesare Borgia.

Similarly, the Baudelaires were offered an apple by Ink, a reference to how Eve was tempted into eating a fruit from the Tree of Good and Evil by a serpent.

Similarly, the entertainments offered were derived from those of the original oiran generations before.