For the family is the simplest example of just such a unit, composed of people, which gives us both some immunity from, and a way of dealing with, other people.

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.

If the German people favor such a settlement we should not oppose Germany following the example of Austria.

If the railroads, for example, regularly slaughtered 25,000 passengers each year, the high priests of the cult would have cause to tremble for their personal safety, for such a holocaust would excite demands for the hanging of every railroad president in the United States.

Since appeals to morality, to humanity, and to sanity have had such small effect, perhaps our last recourse is the deterrent example.

I doubt, for example, that, 3 months before the leadership began to talk about what came to be the Marshall plan, any public-opinion expert would have said that the country would have accepted such proposals.

For example, the interest of past members of the Foundation's Advisory Board remains such that they place their knowledge and judgments at our disposal much as they had done when they were, formally, members of that Board.

For example, the marked susceptibility of the monkey to respiratory infection might be related to its delicate, long alveolar ducts and short, large bronchioles situated within a parenchyma entirely lacking in protective supportive tissue barriers such as those found in types 1, and 3.

But the use of stress in comparison and contrast, for example, can undermine distinctions such as these.

Another example is his very infrequent use of the large amount of data from surveys designed to discover what and how people actually do feel and think on a broad range of topics: he cites such survey-type findings just three times.

In such a case the defendant should serve as a clear example and not have to be tied to the issue by argument.

We find, for example, such groupings as the Five Ancient Rulers, the Five Sacred Mountains, the Five Directions ( with Center ), the Five Metals, Five Colors, Five Tastes, Five Odors, Five Musical Notes, Five Bodily Functions, Five Viscera, and many others.

An interesting example of altruism is found in the cellular slime moulds, such as Dictyostelium mucoroides.

For example, a criminal defendant may be convicted in state court, and lose on " direct appeal " to higher state appellate courts, and if unsuccessful, mount a " collateral " action such as filing for a writ of habeas corpus in the federal courts.

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.

An example would be the systems being put in place for senior people such as fall detectors, thermometers ( for hypothermia risk ), flooding and unlit gas sensors ( for people with mild dementia ).

The One-Mile Telescope is one such example.

There is an example below of such an assignment.

However, algorithms are also implemented by other means, such as in a biological neural network ( for example, the human brain implementing arithmetic or an insect looking for food ), in an electrical circuit, or in a mechanical device.

For example for any ( even infinite ) collection of pairs of shoes, one can pick out the left shoe from each pair to obtain an appropriate selection, but for an infinite collection of pairs of socks ( assumed to have no distinguishing features ), such a selection can be obtained only by invoking the axiom of choice.

For example, the Banach – Tarski paradox is neither provable nor disprovable from ZF alone: it is impossible to construct the required decomposition of the unit ball in ZF, but also impossible to prove there is no such decomposition.

Statements such as the Banach – Tarski paradox can be rephrased as conditional statements, for example, " If AC holds, the decomposition in the Banach – Tarski paradox exists.

Bioethics, for example, is concerned with identifying the correct approach to matters such as euthanasia, or the allocation of scarce health resources, or the use of human embryos in research.

Perianal abscesses can be seen in patients with for example inflammatory bowel disease ( such as Crohn's disease ) or diabetes.

Constructed well before 1492 CE, these Ancestral Pueblo towns and villages in the Southwestern United States were located in various defensive positions, for example, on high steep mesas such as at Mesa Verde or present-day Acoma Pueblo, called the " Sky City ", in New Mexico.

For example, the number of solutions of an equation over a finite field reflects the topological nature of its solutions over the complex numbers.

If a is algebraic over K, then K, the set of all polynomials in a with coefficients in K, is not only a ring but a field: an algebraic extension of K which has finite degree over K. In the special case where K = Q is the field of rational numbers, Q is an example of an algebraic number field.

For example, intervals, where takes all integer values in Z, cover R but there is no finite subcover.

For example, the real line equipped with the discrete topology is closed and bounded but not compact, as the collection of all singleton points of the space is an open cover which admits no finite subcover.

An example of an NP-complete problem is the subset sum problem: given a finite set of integers is there a non-empty subset which sums to zero?

This example serves to show that the hypothesis of finite variance in the central limit theorem cannot be dropped.

For example, Graham's number, though finite, is unimaginably larger than other well-known large numbers such as a googol, googolplex, and even larger than Skewes ' number and Moser's number.

The definition of a deduction is such that it is finite and that it is possible to verify algorithmically ( by a computer, for example, or by hand ) that a given collection of formulas is indeed a deduction.

Hilbert's example: " the assertion that either there are only finitely many prime numbers or there are infinitely many " ( quoted in Davis 2000: 97 ); and Brouwer's: " Every mathematical species is either finite or infinite.

An example of an obligatory category in English is the time-tense of verbs, as it is impossible to express a finite verb without also expressing a tense.

* The group of smooth maps from a manifold to a finite dimensional Lie group is an example of a gauge group ( with operation of pointwise multiplication ), and is used in quantum field theory and Donaldson theory.

For example, the real numbers with the standard Lebesgue measure are σ-finite but not finite.

In QAM, an inphase signal ( the I signal, for example a cosine waveform ) and a quadrature phase signal ( the Q signal, for example a sine wave ) are amplitude modulated with a finite number of amplitudes, and summed.

For example, the usual decimal representation of whole numbers gives every whole number a unique representation as a finite sequence of digits.

For example, a non-identity finite group is simple if and only if it is isomorphic to all of its non-identity homomorphic images, a finite group is perfect if and only if it has no normal subgroups of prime index, and a group is imperfect if and only if the derived subgroup is not supplemented by any proper normal subgroup.

But it seems at least obvious that a divine infinite being conceived of as necessary infinitely knowledgeable would also know how, for example, a finite person dying feels like as He would have access to all knowledge including the obvious experiences of the dying human.

Another example is the construction of finite fields, which proceeds similarly, starting out with the field of integers modulo some prime number as the coefficient ring R ( see modular arithmetic ).

In some cases Hamilton was able to show that this works ; for example, if the manifold has positive Ricci curvature everywhere he showed that the manifold becomes extinct in finite time under Ricci flow without any other singularities.

Another example is " Infinity is not in finity ," which means infinity is not in finite range.

For instance, the normalizer N of a proper subgroup H of a finite p-group G properly contains H, because for any counterexample with H = N, the center Z is contained in N, and so also in H, but then there is a smaller example H / Z whose normalizer in G / Z is N / Z = H / Z, creating an infinite descent.

For example, one may assume that a population distribution have a finite mean.

With finite samples, approximation results measure how close a limiting distribution approaches the statistic's sample distribution: For example, with 10, 000 independent samples the normal distribution approximates ( to two digits of accuracy ) the distribution of the sample mean for many population distributions, by the Berry – Esseen theorem.