There can be no doubt that the American Catholic accomplishment in the field of higher education is most impressive: our European brethren never cease to marvel at the number and the size of our colleges and universities.

Systematic reviews of the field have found that the number of ATC are growing rapidly, but have focused on memory and planning, that there is emerging evidence for efficacy, that a lot of scope exists to develop new ATC.

Using the Fibonacci sequence would keep the number of grains within any one field at minimum.

The name algebraic integer comes from the fact that the only rational numbers which are algebraic integers are the integers, and because the algebraic integers in any number field are in many ways analogous to the integers.

If K is a number field, its ring of integers is the subring of algebraic integers in K, and is frequently denoted as O < sub > K </ sub >.

Some subfields of R have nontrivial field automorphisms, which however do not extend to all of R ( because they cannot preserve the property of a number having a square root in R ).

This is an example of renormalization in quantum field theory — the field theory being necessary because the number of particles changes from one to two and back again.

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

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.

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.

This instrument had the advantage of a larger field of view and he was able to obtain precise positions of a large number of stars that transited close to the zenith over the course of about two years.

As one of the brightest stars in the sky, Arcturus has been the subject of a number of studies in the emerging field of asteroseismology.

Originally a part of number theory and analysis, it is now considered a part of combinatorics or an independent field.

For example, a 1039 bit integer was factored with the special number field sieve using 400 computers over 11 months.

The factored number was of a special form ; the special number field sieve cannot be used on RSA keys.

The military also suffered several setbacks in its fight against the guerrillas, when several of its rural bases began to be overrun and a record number of soldiers and officers were taken prisoner by the FARC ( which since 1982 was attempting to implement a more " conventional " style of warfare, seeking to eventually defeat the military in the field ).

This work was fundamental in consolidating number theory as a discipline and has shaped the field to the present day.

The number of ligands that react with a central metal atom can be found using the 18-electron rule, saying that the valence shells of a transition metal will collectively accommodate 18 electrons, whereas the symmetry of the resulting complex can be predicted with the crystal field theory and ligand field theory.

* Artin conductor, an ideal or number associated to a representation of a Galois group of a local or global field

Table 1,, p. 394, shows a comparison of K factor ratings of a number of commercial insulating materials in common use, including two different types of rigid urethane foam.

If a description of s, d ( s ), is of minimal length ( i. e. it uses the fewest number of characters ), it is called a minimal description of s. Thus, the length of d ( s ) ( i. e. the number of characters in the description ) is the Kolmogorov complexity of s, written K ( s ).

* BB / K — Walk-to-strikeout ratio: number of bases on balls divided by number of strikeouts

* K — Strike out ( also abbreviated SO ): number of times that a third strike is taken or swung at and missed, or bunted foul.

* K — Strikeout: number of batters who received strike three

* K / BB — Strikeout-to-walk ratio: number of strikeouts divided by number of base on balls

Another style was to truncate the last 3 digits and append K, essentially using K as a decimal prefix similar to SI, but always truncating to the next lower whole number instead of rounding to the nearest.

" Tal Cohen of Tal Cohen's Bookshelf called The Edge of Human " a good book ", praising Jeter's " further, and deeper, investigation of the questions Philip K. Dick originally asked ", but criticized the book for its " needless grandioseness " and for " rel on Blade Runner too heavily, the number of new characters introduced is extremely small ..."

Vitamins come from a number of sources including fresh fruit and vegetables ( Vitamin C ), carrots, liver ( Vitamin A ), cereal bran, bread, liver e ( B vitamins ), fish liver oil ( Vitamin D ) and fresh green vegetables ( Vitamin K ).

Non-avian dinosaur fossils are found only below the K – T boundary, indicating that they became extinct during the boundary event .< ref > A very small number of dinosaur fossils have been found above the K – T boundary, but they have been explained as reworked fossils, that is, fossils that have been eroded from their original locations then preserved in later sedimentary layers.

A caecilian's skin has a large number of transverse folds and in some species contains tiny embedded dermal scales.

It contains 2800 proposed cognate sets, a set of sound laws based on those proposed sets, and a number of grammatical correspondences, as well as a few important changes to the reconstruction of Proto-Altaic.

These results refined Ernest Rutherford's and Antonius Van den Broek's model, which proposed that the atom contains in its nucleus a number of positive nuclear charges that is equal to its ( atomic ) number in the periodic table.

Each orbital is defined by a different set of quantum numbers ( n, l, and m ), and contains a maximum of two electrons each with their own spin quantum number.

After describing the manifestation of the Gospel in the Ogdoad and Hebdomad, he adds that the Basilidians have a long account of the innumerable creations and powers in the several ' stages ' of the upper world ( diastemata ), in which they speak of 365 heavens and say that " their great archon " is Abrasax, because his name contains the number 365, the number of the days in the year ; i. e. the sum of the numbers denoted by the Greek letters in ΑΒΡΑΣΑΞ according to the rules of isopsephy is 365:

Each canton contains a certain number of quartiers, " quarters ".

:" 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.

Each borough contains a number of localities ( Ortsteile ), which often have historic roots in older municipalities that predate the formation of Greater Berlin on 1 October 1920 and became urbanized and incorporated into the city.

Initially, A contains nothing but zero bytes, and B contains the number 1979.

However, the tree constructed by the living tree project, a collaboration between ARB-Silva and LPSN where a 16S ( and 23S if available ) tree of all validated species was constructed, the genus Bacillus contains a very large number of nested taxa and majorly in both 16S and 23S it is paraphyletic to Lactobacillales ( Lactobacillus, Streptococcus, Staphylococcus, Listeria, etc.

Monosaccharides are classified according to three different characteristics: the placement of its carbonyl group, the number of carbon atoms it contains, and its chiral handedness.

E is currently held in El Escorial and contains the largest number of songs ( 406 Cantigas, plus the Introduction and the Prologue ); it contains 41 carefully detailed miniatures and many illuminated letters.

The constellation contains a number of molecular clouds ( the Chamaeleon dark clouds ) that are forming low-mass T Tauri stars.

The District contains a number of large Victorian-style residences built by the lumber barons and businessmen who helped establish the city in the 1870s.

It contains a number of motels and restaurants.

In addition, each chakra has a number of ' spokes ' or ' petals ', which branch off into thousands of subtle channels running to every part of the body, and each contains a Sanskrit syllable.

Cheddar Gorge on the edge of the village contains a number of caves, which provided the ideal humidity and constant temperature for maturing the cheese.

According to a number of scholars, the Christ story contains mythical themes such as descent to the underworld, the heroic monomyth, and the " dying god " ( see section below on " mythical themes and types ").

If the sheet contains regions where the number of atoms in a ring is different from six, while the total number of atoms remains the same, a topological defect has formed.

* The top half contains the nationality, the eleven-digit birth number and the blood type.