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, 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, if the equivalents for the forms of a word do not vary, the equivalents need be entered only once with an indication that they apply to each form.

Similarly, higher levels of GNP do not, in themselves, provide grounds for raising prices, but they do relax some of the pressure on the industry so that it can raise prices higher for a given wage increase.

) Similarly, when Jewish families and larger groups sing traditional Sabbath songs known as zemirot outside the context of formal religious services, they usually do so a cappella, and Bar and Bat Mitzvah celebrations on the Sabbath sometimes feature entertainment by a cappella ensembles.

Similarly, diamond dust used as an abrasive can do harm if ingested or inhaled.

Similarly, Robert Nozick argues for a theory that is mostly consequentialist, but incorporates inviolable " side-constraints " which restrict the sort of actions agents are permitted to do.

* Similarly, forms generators manage online interactions with the application system users or generate programs to do so.

Similarly, violation of the zone by a defending player is only penalized if they do so to gain an advantage in defending.

Similarly, they won't eat normal things, but do practice cannibalism.

Similarly, if funding is withdrawn part way through an experiment, and the analyst must work with incomplete data, this is a possible source of bias for classical methods but not for Bayesian methods, which do not depend on the intended design of the experiment.

" Similarly, Roger Ebert, writing of his iconic performance in Last Tango in Paris, said: " This was the greatest movie actor of his time, the author of performances that do honor to the cinema.

Similarly, beliefs about an afterlife vary widely, as do conceptions on ethics and morality.

Similarly, while you are a lessee, the owner cannot use their right to exclude to keep you from the property, or, if they do, you may be entitled to stop paying rent or sue for access.

Similarly, the joke " Question: Why do we still have troops in Germany?

Similarly, according to Jewish Mishnah, Epicureans ( apiqorsim, people who share the beliefs of the movement ) are among the people who do not have a share of the " World-to-Come " ( afterlife or the world of the Messianic era ).

Similarly, laws of warfare prohibit combatants from using civilian settlements, populations or facilities as military bases, but when an inferior power uses this tactic, it depends on the premise that the superior power will respect the law that the other is violating, and will not attack that civilian target, or if they do the propaganda advantage will outweigh the material loss.

Similarly, the manual for the ORCA / M assembler refers to a field indicating the order of the bytes in a number field as, and the Mac OS X operating system refers to " byte sex " in its compiler tools .</ ref > x86 computers do not have the same " byte sex ", as HC11 computers, for example.

Similarly, machines which comply with both laws of thermodynamics but access energy from obscure sources are sometimes referred to as perpetual motion machines, although they also do not meet the standard criteria for the name.

Similarly in D version 1, it is assumed that the programmer knows what to do with delegates and local variables, as their references will be invalid after return from its definition scope ( local variables are on the stack )-this still permits many useful functional patterns, but for complex cases needs explicit heap allocation for variables.

" Similarly, a passage in 1 John says, " This is how we know who the children of God are and who the children of the devil are: Anyone who does not do what is right is not a child of God.

Similarly the IPCC do not classify peat amongst renewable biomass or biofuels, due to the length of time for peat to re-accumulate after harvesting, but as a fossil fuel.

Similarly, Gordis calls on Christians to understand with tolerance and respect that Jews do not accept these beliefs, since they are in contradiction to the Jewish understanding of the unity of God.

Similarly, Warwick's later actions in the play, as he himself acknowledges, have nothing to do with ensuring Henry remain king, but are based wholly on his personal feelings towards Edward ; he is more concerned with bringing down the House of York than elevating the House of Lancaster.

Similarly, many who avail themselves of magic do so without feeling the need to understand a causal theory behind it.

Similarly, Greg Sewart of Gaming Age pointed out that players also have " a bit of freedom as to what they want to do in any given situation, and what order the directives are completed in ".