No human being can write fast enough, or long enough, or small enough † ( †" smaller and smaller without limit ... you'd be trying to write on molecules, on atoms, on electrons ") to list all members of an enumerably infinite set by writing out their names, one after another, in some notation.

As George Gamow put in his science-popularizing book, One, Two, Three ... Infinity ( 1947 ), " The metallic substances differ from all other materials by the fact that the outer shells of their atoms are bound rather loosely, and often let one of their electrons go free.

This extrapolation, however, is impossible ... atoms are not things.

The Lindemann criterion states that melting occurs because of vibrational instability, e. g. crystals melt when the average amplitude of thermal vibrations of atoms is relatively high compared with interatomic distances, e. g. < δu < sup > 2 </ sup >> 1 / 2 > δ < sub > L </ sub > R < sub > s </ sub >, where δu is the atomic displacement, the Lindemann parameter δ < sub > L </ sub > ≈ 0. 20 ... 0. 25 and R < sub > s </ sub > is a half of the inter-atomic distance.

But atoms and the elementary particles themselves are not as real ; they form a world of potentialities or possibilities rather than one of things or facts ...

If my mental processes are determined wholly by the motions of atoms in my brain, I have no reason to suppose that my beliefs are true ... and hence I have no reason for supposing my brain to be composed of atoms.

According to Frame, examples of attempts to explain reality are found in Plato and Aristotle's Form / Matter dualism ; the debate between the nominalists and the realists over the status of universals and particulars, and the " all is ... water, atoms, etc " of the pre-Socratics.

Haldane states " If my mental processes are determined wholly by the motions of atoms in my brain, I have no reason to suppose that my beliefs are true ... and hence I have no reason for supposing my brain to be composed of atoms.

In addition to de facto renunciation through apostasy, heresy, or schism, the Roman Catholic Church envisaged from 1983 to 2009 the possibility of formal defection from the Church through a decision manifested personally, consciously and freely, and in writing, to the competent church authority, who was then to judge whether it was genuinely a case of " true separation from the constitutive elements of the life of the Church ... ( by ) an act of apostasy, heresy or schism.

Since the elements can be uniquely sequenced by atomic number, conventionally from lowest to highest ( as in a periodic table ), sets of elements are sometimes specified by such notation as " through ", " beyond ", or " from ... through ", as in " through iron ", " beyond uranium ", or " from lanthanum through lutetium ".

Mainstream CBT helps individuals replace " maladaptive ... coping skills, cognitions, emotions and behaviors with more adaptive ones ", by challenging an individual's way of thinking and the way that he / she reacts to certain habits or behaviors, but there is still controversy about the degree to which these traditional cognitive elements account for the effects seen with CBT over and above the earlier behavioral elements such as exposure and skills training.

We list the elements of A effectively, n < sub > 0 </ sub >, n < sub > 1 </ sub >, n < sub > 2 </ sub >, n < sub > 3 </ sub >, ...

These set-ups are taken for granted by the genre conventions, and need not be explained for the reader anew ... though it should also be noted that these elements can easily be treated subversively as well, playing with some of the preconceptions inherent in formula fiction.

Yet just like intelligence, sexuality is a complex human feature that modern science is attempting to explain with genetics ... Rather than determining that this results from purely biological processes, a trait evolves from developmental processes that include both biological and social elements.

" Anticlericalism, just as in the rest of the libertarian movement, in another of the frequent elements which will gain relevance related to the measure in which the ( French ) Republic begins to have conflicts with the church ... Anti-clerical discourse, frequently called for by the french individualist André Lorulot, will have its impacts in Estudios ( a Spanish individualist anarchist publication ).

" For me ," he said, " the important distinction is between a stylistic approach to the design ; and an analytical approach giving the process of due consideration to time, place, and purpose ... My analytical approach requires a full understanding of the three essential elements ... to arrive at an ideal balance among them.

He regarded his move away from liberal politics as " a totally natural reaction once I began to see undisciplined elements in our country stimulating a breakdown of our system ... Those functionless creatures, the hippies ... just didn't appear out of a vacuum.

: The knowledge base underlying the INTERNIST system is composed of two basic types of elements: disease entities and manifestations .... also contains a ... hierarchy of disease categories, organized primarily around the concept of organ systems, having at the top level such categories as " liver disease ," " kidney disease ," etc.

* American Heritage Dictionary: " Of or relating to art, architecture, or literature that reacts against earlier modernist principles, as by reintroducing traditional or classical elements of style or by carrying modernist styles or practices to extremes: ' It roadhouse is so architecturally interesting ... with its postmodern wooden booths and sculptural clock.

However, Darwin wrote, " I can by no means agree ... that immigration and isolation are necessary elements ....

The television series Moonlighting ( 1985 – 1989 ), Married ... with Children ( 1987 – 1997 ), NewsRadio ( 1995 – 1999 ), Gilmore Girls ( 2000 – 2007 ), and Standoff ( 2006 – 2007 ) have also adapted elements of the screwball comedy genre for the small screen.

In 1992 the army was expanded to 6, 150 under President Joseph Saidu Momoh in a ' poorly designed strategy that eradicated the few remaining elements of cohesion in the military ... recruits were mainly drifters, rural and urban unemployed, a fair number of hooligans, drug addicts, and thieves.

The Supreme Court held in United States v. Carll, that “ in an indictment ... it is not sufficient to set forth the offense in the words of the statute, unless those words of themselves fully, directly, and expressly, without any uncertainty or ambiguity, set forth all the elements necessary to constitute the offense intended to be punished .” Vague wording, even if taken directly from a statute, does not suffice.

Today we burn our proud ship ... to protest against inhuman elements in the world of 1978 ... Now we are forced to stop at the entrance to the Red Sea.

On average, half the elements in a list A < sub > 1 </ sub > ... A < sub > j </ sub > are less than element A < sub > j + 1 </ sub >, and half are greater.

" circular and elliptical polarizations can be obtained using various feed arrangements or slight modifications made to the elements ... Circular polarization can be obtained if two orthogonal modes are excited with a 90 ° time-phase difference between them.

" The teacher would give us homework, which would consist of copying Chapter Eleven, including the illustrations ... a beetle or a plant, the pistil of a flower, or soldiers -- that type of thing.

James Coleman defined social capital functionally as “ a variety of entities with two elements in common: they all consist of some aspect of social structure, and they facilitate certain actions of actors ... within the structure ”— that is, social capital is anything that facilitates individual or collective action, generated by networks of relationships, reciprocity, trust, and social norms.

As Claude Lévi-Strauss would put it: the birth " would consist, therefore, in making explicit a situation originally existing on the emotional level and in rendering acceptable to the mind pains which the body refuses to tolerate ... the woman believes in the myth and belongs to a society which believes in it.

Such ceremonies took the form both of ' oblations, whether bloody or otherwise ', and of ' rites which ... consist in movements and cries whose object is to imitate the different aspects and attitudes of the animal whose reproduction is desired '.

According to the Court's decision, the materials in question primarily ... consist of pictures and drawings very explicitly depicting men and women in groups of two or more engaging in a variety of sexual activities, with genitals often prominently displayed.

The Blues, for example, whose lyrics consist of an endlessly suggestive stream of imaginative metaphors, are defined by circumlocutory poetic logic, as Ben Sidran makes clear in his book Black Talk: " The direct statement is considered crude and unimaginative ; the veiling of all contents in everchanging paraphrase is ... the criterion of intelligence "

They do not have a history of strong prime-time content: generally their home produced programmes consist of at least one independently produced programme, e. g. The Apprentice, a number of internal documentaries such as Ireland Undercover and a number of BCI licence fee-funded independent products such as School Run, Diary of ... andModern Ireland.

" True eloquence ," Oliver Goldsmith says, " Does not consist ... in saying great things in a sublime style, but in a simple style ; for there is, properly speaking, no such thing as a sublime style, the sublimity lies only in the things ; and when they are not so, the language may be turgid, affected, metaphorical, but not affecting.

Most often these defences consist of ... Nf6, ... e6, and ... d5 or ... Bb4 systemic responses by Black, or a Slav-like system consisting of ... c6 and ... d5, a direct King's Indian Defense setup with ... Nf6, ... g6, ... Bg7, ... 0-0, after which ... c5 and ... e5 are eschewed, or 1 ... f5, which usually transposes to a Dutch Defense once White plays d4.

... whereupon, although the wind was very scant, we first warped out of harbour that night, and upon Saturday turned out very hardly, the wind being at South-West ; and about three of the clock in the afternoon, descried the Spanish fleet, and did what we could to work for the wind, which this morning we had recovered, descrying their fto consist of 120 sail, whereof there are 4 g and many ships of great burden.

An S-signature is a signature inserted between forward slash marks, but not a handwritten signature ... ( i ) The S-signature must consist only of letters, or Arabic numerals, or both, with appropriate spaces and commas, periods, apostrophes, or hyphens for punctuation ...

:" The first part of our arithmetic organ ... should be a parallel storage organ which can receive a number and add it to the one already in it, which is also able to clear its contents and which can store what it contains.

... At least 2, 505 people were sentenced for cannibalism in the years 1932 and 1933 in Ukraine, though the actual number of cases was certainly much greater.

" Levy quotes Walter Tuchman: " hey asked us to stamp all our documents confidential ... We actually put a number on each one and locked them up in safes, because they were considered U. S. government classified.

He also lacked a symbol for a general number n. Where we would write, Diophantus has to resort to constructions like: ... a sixfold number increased by twelve, which is divided by the difference by which the square of the number exceeds three.

Smith has a justified true belief that a man with ten coins in his pocket will get the job ; however, according to Gettier, Smith does not know that a man with ten coins in his pocket will get the job, because Smith's belief is "... true by virtue of the number of coins in Jones's pocket, while Smith does not know how many coins are in Smith's pocket, and bases his belief ... on a count of the coins in Jones's pocket, whom he falsely believes to be the man who will get the job.

Bringing Up Baby ( 1938 ) was listed number 97 on the American Film Institute's AFI's 100 Years ... 100 Movies.

This particular fact was reinforced when TV Guide ranked the series number 10 on its 50 Worst Shows of All Time List in 2002 ... a full 10 years after the last first-run episode aired on May 30, 1992 ( although the entry specifically refers to the Hee Haw Honeys spinoff, not the main show itself ).

Let r be a non zero real number and let the r < sup > th </ sup > power mean ( M < sup > r </ sup > ) of a series of real variables ( a < sub > 1 </ sub >, a < sub > 2 </ sub >, a < sub > 3 </ sub >, ... ) be defined as

They established ... affinity groups that in 1912 came to, according to Max Nettlau, to the number of 20.

The integer sequence of the number of idempotent functions as given by the sum above for n = 0, 1, 2, ... starts with 1, 1, 3, 10, 41, 196, 1057, 6322, 41393, ...

Thomas Davidson taught a philosophy called " apeirotheism ", a " form of pluralistic idealism ... coupled with a stern ethical rigorism " which he defined as " a theory of Gods infinite in number.

... Had it not been for the ISI's logistic support and supply of a large number of rockets, Hekmatyar's forces would not have been able to target and destroy half of Kabul.

He said that a " peasant who is in possession of just the amount of land he can cultivate ," and " a family inhabiting a house which affords them just enough space ... considered necessary for that number of people " and the artisan " working with their own tools or handloom " would not be interfered with, arguing that " he landlord owes his riches to the poverty of the peasants, and the wealth of the capitalist comes from the same source.

In general, if b is the base, one writes a number in the numeral system of base b by expressing it in the form a < sub > n </ sub > b < sup > n </ sup > + a < sub > n − 1 </ sub > b < sup > n − 1 </ sup > + a < sub > n − 2 </ sub > b < sup > n − 2 </ sup > + ... + a < sub > 0 </ sub > b < sup > 0 </ sup > and writing the enumerated digits a < sub > n </ sub > a < sub > n − 1 </ sub > a < sub > n − 2 </ sub > ... a < sub > 0 </ sub > in descending order.

" Featured on the magazine cover is defensive player Dennis Gaubatz, number 53, in midair pursuit with this description: " That is he, looming 10 feet tall or taller above the Steelers ' signal caller ... Since Gaubatz acts like this on Sunday, I'll do my quarterbacking Monday.

Nation of Millions ... was voted Album of the Year by The Village Voice Pazz and Jop Poll, the first hip hop album to be ranked number one by predominantly rock critics in a major periodical.

Simple Plan, from Montréal, climbed to number three in the United States with Still Not Getting Any ... in 2004.

Historian Richard Altick writes that " To judge from the number of references to it in the private letters and memoirs of the 1840s ... Punch had become a household word within a year or two of its founding, beginning in the middle class and soon reaching the pinnacle of society, royalty itself ".