It is worth dwelling in some detail on the crisis of this story, because it brings together a number of characteristic elements and makes of them a curious, riddling compound obscurely but centrally significant for Mann's work.

This apparatus will also be used to measure transition probabilities of a large number of other elements.

Toward the turn of the twentieth century, a number of anthropologists became dissatisfied with this categorization of cultural elements ; historical reconstructions also came to seem increasingly speculative to them.

This placement is consistent with the modern practice of ordering the elements by proton number, Z, but this number was not known or suspected at the time.

Another problem was that the gradual identification of more and more chemically similar and indistinguishable lanthanides, which were of an uncertain number, led to inconsistency and uncertainty in the numbering of all elements at least from lutetium ( element 71 ) onwards ( hafnium was not known at this time ).

Synthesis of new elements is accomplished by bombarding target atoms of heavy elements with ions, such that the sum of the atomic numbers of the target and ion elements equals the atomic number of the element being created.

Six astatine isotopes, with mass numbers of 214 to 219, are present in nature as the products of various decay routes of heavier elements, but neither the most stable isotope of astatine ( with mass number 210 ) nor astatine-211 ( which is used in medicine ) is produced naturally.

The table itself is a visual representation of the periodic law, which states that certain chemical properties of elements repeat periodically when arranged by atomic number.

Isotopes were then explained as elements with the same number of protons, but different numbers of neutrons within the nucleus.

The repeating periodicity of the blocks of 2, 6, 10, and 14 elements within sections of the periodic table arises naturally from the total number of electrons which occupy a complete set of s, p, d and f atomic orbitals, respectively.

Typically, elements capable of variable coordination number and / or oxidation states tend to exhibit greater numbers of allotropic forms.

In mathematics, an associative algebra A is an associative ring that has a compatible structure of a vector space over a certain field K or, more generally, of a module over a commutative ring R. Thus A is endowed with binary operations of addition and multiplication satisfying a number of axioms, including associativity of multiplication and distributivity, as well as compatible multiplication by the elements of the field K or the ring R.

... the atoms of the elements consist of a number of negatively electrified corpuscles enclosed in a sphere of uniform positive electrification, ...

For any set containing n elements, the number of distinct k-element subsets of it that can be formed ( the k-combinations of its elements ) is given by the binomial coefficient.

These numbers also arise in combinatorics, where gives the number of different combinations of b elements that can be chosen from an n-element set.

The binomial coefficient can be interpreted as the number of ways to choose k elements from an n-element set.

Therefore, after combining like terms, the coefficient of x < sup > n − 2 </ sup > y < sup > 2 </ sup > will be equal to the number of ways to choose exactly 2 elements from an n-element set.

Although counting the number of elements in a set is a rather broad mathematical problem, many of the problems that arise in applications have a relatively simple combinatorial description.

Ninety – four different chemical elements or types of atoms based on the number of protons are observed on earth naturally, having at least one isotope that is stable or has a very long half-life.

The standard presentation of the chemical elements is in the periodic table, which orders elements by atomic number and groups them by electron configuration.

In aqueous solution the early lanthanides are surrounded by nine water molecules while the later lanthanides have a coordination number of 8.

For Tom Horn, it turned out, had a number of rancher and cowboy witnesses ready and willing to swear with straight faces that he had been in Bates Hole the day of the killing.

Die Frist ist um, und wiederum verstrichen sind sieben Jahr, the Maestro quoted The Flying Dutchman, as he told of his career and wanderings, explaining that the number seven had significantly recurred in his life several times.

If in any one calculation Ptolemy had had to invoke 83 epicycles all at once, while Copernicus never required more than one third this number, then ( in the sense obvious to Margenau ) Ptolemaic astronomy would be simpler than Copernican.

Fulton was a very close friend of Jackson, and had been his private secretary for a number of years in the old days.

The editorial was based on a news association dispatch which said that the telegraphers had secured an agreement whereby they were guaranteed 40 hours' pay per week whether they worked or not and that a reduction in their number was limited to 2 per cent per year.

People who take us for suckers are like the Westerner who had on exhibit his superior marksmanship in the form of a number of bull's-eye achievements.

`` We've had any number of calls about you.

The ledger was full of most precise information: date of laying, length of incubation period, number of chick reaching the first week, second week, fifth week, weight of hen, size of rooster's wattles and so on, all scrawled out in a hand that looked more Chinese than English, the most jagged and sprawling Alex had ever seen.

In addition, many of the hard-surface cleaners used for walls and woodwork had their genesis in trisodium orthophosphate, which is still the major ingredient of a number of such products.

Essentially this imposed two conditions: First, international law had to recognize and be compatible with an international political system in which a number of states were competitive, suspicious, and opportunistic in their political alignments with one another ; ;

The sheriff and District Attorney Mills hastily swore out a number of warrants against men who had been riding about armed, according to signed statements by Chavez and Dr. I. P. George, and ordered Deputy Barney Clark of Raton to rescue the posseman.

Even though we did not see many of your faces, it appears now quite evident that a considerable number of your profession heard, from those whom we had the fortune to encounter, that we had been in your midst.

We had looked forward to what we hoped to be our first informal meeting with a number of Moscow's artists.

Such understanding helps to explain why one matron celebrating thirty-five years of married life could declare with some pride that her husband had `` never seen her entirely naked '', while another woman, boasting an equal number of years of married life, is proud of having `` shared the nudist way of life -- the really free, natural nude life -- for most of that period ''.

`` But when I arrived and recognised a number of notorious characters I had thrown into the detective bureau basement half a dozen times, I knew I had been framed, and withdrew almost at once ''.

At last count, sixteen former Rhodes Scholars ( see box on page 13 ) had been appointed to the Administration, second in number only to its Harvard graduates.

By 1907 the number of undergraduates had risen to 1,107.

Moreover, prudence alone would indicate that, unless the local customs are already ready to fall when pushed, the results of direct economic action everywhere upon national chain stores will likely be simply to give undue advantage to local and state stores which conform to these customs, leading to greater decentralization and local autonomy within the company, or even ( as the final self-defeat of an unjust application of economic pressure to correct injustice ) to its going out of business in certain sections of the country ( as, for that matter, the Quakers, who once had many meetings in the pre-Civil War South, largely went out of business in that part of the country over the slavery issue, never to recover a large number of southern adherents ).

He had written out the license number of his car but had transposed the last two figures, an old dodge which is still good.

He also reminded himself that he had an unusual number of possibilities.