For example, after having established that the set X contains only non-empty sets, a mathematician might have said " let F ( s ) be one of the members of s for all s in X.

For example, one imperial pint ( 568 ml ) of beer at 4 % ABV contains:

For example, a regular 275ml bottle of WKD contains 1. 4 units, whereas Bacardi Breezer and Smirnoff Ice both contain 1. 5 units of alcohol.

However, they require compromises in borderline cases ; for example, nicotine contains a pyridine fragment from nicotinamide and pyrrolidine part from ornithine and therefore can be assigned to both classes.

For example, the graph contains the points ( 1, 1 ), ( 2, 0. 5 ), ( 5, 0. 2 ), ( 10, 0. 1 ), ... As the values of x become larger and larger, say 100, 1000, 10, 000 ..., putting them far to the right of the illustration, the corresponding values of y,. 01,. 001,. 0001, ..., become infinitesimal relative to the scale shown.

As an example, the important blood serum protein albumin contains 585 amino acid residues.

As noted by biblical scholar Michael D. Coogan, the book of Esther contains specific details regarding certain subject matter ( for example, Persian rule ) which are historically inaccurate.

For example, an operon is a stretch of DNA that is transcribed, to create a contiguous segment of RNA, but contains more than one cistron / gene.

The NPF states that coal tar contains approximately 10, 000 chemicals, of which only about 50 % have been identified, and the composition of coal tar varies with its origin and type of coal ( for example ,: lignite, bituminous or anthracite ) used to make it.

* It is not difficult to construct spacetimes which have naked singularities, but which are not " physically reasonable ;" the canonical example of such a spacetime is perhaps the " superextremal " < math > M <| Q |</ math > Reissner-Nordstrom solution, which contains a singularity at that is not surrounded by a horizon.

The following example of a document type declaration contains both public and system identifiers:

For example, Euclid assumed implicitly that any line contains at least two points, but this assumption cannot be proved from the other axioms, and therefore must be an axiom itself.

However, about 80 % of his plays have been lost and even the extant plays don't present a fully consistent picture of his ' spiritual ' development ( for example, Iphigenia at Aulis is dated with the ' despairing ' Bacchae, yet it contains elements that became typical of New Comedy ).

For example, the book contains several Aramaic and two Persian words.

For example, the Survey of Professional Forecasters contains forecasts for many forecasters ( cross-sectional observations ), at many points in time ( time series observations ), and at multiple forecast horizons ( a third dimension ).

Each moiety may contain additional functional groups -- for example, methyl para-hydroxybenzoate contains a phenol functional group within the acyl moiety.

For example, silica is functionalized with an alkyl silicone, wherein the alkyl contains an amine functional group.

For example, the string GGGAAACCC, if read from the first position, contains the codons GGG, AAA, and CCC ; and, if read from the second position, it contains the codons GGA and AAC ; if read starting from the third position, GAA and ACC.

This causes redundancy in an undirected graph: for example, if vertices A and B are adjacent, A's adjacency list contains B, while B's list contains A. Adjacency queries are faster, at the cost of extra storage space.

For example, the microstructure of whiteware ceramics frequently contains both amorphous and crystalline phases.

The example program from that book prints "" ( without capital letters or exclamation mark ), and was inherited from a 1974 Bell Laboratories internal memorandum by Brian Kernighan, Programming in C: A Tutorial, which contains the first known version:

For example, a water molecule contains two hydrogen atoms, but does not contain atomic hydrogen ( which would refer to isolated hydrogen atoms ).

For example, if a liquid or gas contains ions, then the ions can be made to flow as an electric current, and the material is a conductor.

It resembles, too, pictures such as Durer and Bruegel did, in which all that looks at first to be solely pictorial proves on inspection to be also literary, the representation of a proverb, for example, or a deadly sin.

The convicts were put in chains, paraded before the congregation at the Reverend Cotton's lecture as an example, and sent to prisons in various towns, where they languished all winter, chains included.

One example of this was his assertion that `` all servile revolts must be dealt with by physical force ''.

And to do this requires first of all the kind of information about people which is provided by the scientists in industrial anthropology and consumer research, who, for example, tell Courtenay that three days is the `` optimum priming period for a closed social circuit to be triggered with a catalytic cue-phrase '' -- which means that an effective propaganda technique is to send an idea into circulation and then three days later reinforce or undermine it.

their example caused Krim and his friends to put on `` Englishy airs, affect all sorts of impressive scholarship and social-register unnaturalness in order to slip through their narrow transoms and get into their pages ''.

He was told he displayed, for example, a sense of superiority -- and he answered: `` Well, I am supposed to know all the answers, aren't I ''??

In fact, some -- Anzilotti is the principle example -- went so far as to say that all international law could be traced to the single legal norm, Pacta sunt Servanda.

J. Wheaton Smith, editor of the Warren Telegraph stated that `` the ends of justice must be satisfied, a solitary example must be set, in order that all those misnamed philantropists, who, actuated by a blind zeal, dare to instigate riot, treason, and murder, may heed it and shape their future course accordingly ''.

It is merely the latest example of the leapfrog growth which formed the pattern of virtually all American cities.

It omits, for example, practically the whole line of great nineteenth century English social critics, nearly all the great writers whose basic position is religious, and all those who are with more or less accuracy called Existentialists.

For example, effective mine barriers from Florida to Cuba and across the Yucatan Channel from Cuba to Mexico would remove all requirements for harbor defense, inshore patrol, convoy escort, shipping control, and mine defense for the entire Gulf of Mexico.

Just about the most enthralling real-life example of meeting cute is the Charles MacArthur-Helen Hayes saga: reputedly all he did was give her a handful of peanuts, but he said simultaneously, `` I wish they were emeralds ''.

For example, in 1693 the Philadelphia Yearly Meeting of Friends declared that its members should emancipate their slaves and in 1776 it determined to exclude from membership all who did not comply.

The honored professionals were awarded for all the work done in a certain category for the qualifying period ; for example, Jannings received the award for two movies in which he starred during that period.

In New Jersey, for example, the Administrative Office of the Court has promulgated a form of notice of appeal for use by appellants, though using this exact form is not mandatory and the failure to use it is not a jurisdictional defect provided that all pertinent information is set forth in whatever form of notice of appeal is used.

Generally, there is no trial in an appellate court, only consideration of the record of the evidence presented to the trial court and all the pre-trial and trial court proceedings are reviewed — unless the appeal is by way of re-hearing, new evidence will usually only be considered on appeal in " very " rare instances, for example if that material evidence was unavailable to a party for some very significant reason such as prosecutorial misconduct.

: For an example of the simple algorithm " Add m + n " described in all three levels see Algorithm examples.

For example, suppose that X is the set of all non-empty subsets of the real numbers.

For example, if one defines categories in terms of sets, that is, as sets of objects and morphisms ( usually called a small category ), or even locally small categories, whose hom-objects are sets, then there is no category of all sets, and so it is difficult for a category-theoretic formulation to apply to all sets.

As an example, the field of real numbers is not algebraically closed, because the polynomial equation x < sup > 2 </ sup > + 1 = 0 has no solution in real numbers, even though all its coefficients ( 1 and 0 ) are real.

It is often useful to be able to compute the variance in a single pass, inspecting each value only once ; for example, when the data are being collected without enough storage to keep all the values, or when costs of memory access dominate those of computation.

However, in general, the books only feature mental battles when there is some reason for mind-to-mind contact ( for example, Trump contact ) and magic or Trump is involved in all three of the above conflicts, so it is not clear whether Zelazny intended his characters to have such a power ; the combination of Brand's " living trump " powers and his high Psyche ( as presented in the roleplaying game ) would have guaranteed him victory over Corwin.