While the particular limits of these groupings may seem artificially arbitrary, they do fairly express a corresponding grouping of more variable material, and they eventuate also in five classes, along a similar scale, containing approximately equal numbers of cases, namely 19, 14, 15, 11, 12 in Athabascan.

A row of mailboxes along the wall had numbers and names on them.

We place the natural numbers along the top row.

His attempts clarified the concept of complex numbers considerably along the way.

With eleven keys in a 3 / 4 / 4 arrangement, 43 symbols could be arranged allowing for lowercase text, numbers and a modest number of punctuation symbols to be represented along with a ' shift ' function for accessing uppercase letters.

Dikes, long, planar igneous intrusions, enter along cracks, and therefore often form in large numbers in areas that are being actively deformed.

The Hong Kong Transport Department ( HKTD ) allows and licenses the operation of two types of public light buses – ( 1 ) green minibuses that have route numbers, stop at designated stops ( many routes have hail and ride sections along which passengers can board and exit anywhere unless it's a no-stopping zone ) and which have their fares, service and frequency regulated by the HKTD ; and ( 2 ) red minibuses that may or may not have regular routes, may or may not be numbered, may or may not have fixed stops and whose fares and service levels are not regulated by HKTD.

KeyKode ( also written as either Keykode or KeyCode ) is an Eastman Kodak Company advancement on edge numbers, which are letters, numbers and symbols placed at regular intervals along the edge of 35 mm and 16 mm film to allow for frame-by-frame specific identification.

Edge numbers ( also called key numbers or footage numbers ) are a series of numbers with key lettering printed along the edge of a 35 mm negative at intervals of one foot ( 16 frames or 64 perforations ) and on a 16 mm negative at intervals of six inches ( twenty frames ).

On January 28, 2005, UN Security Council Resolution 1583 called upon the Government of Lebanon to fully extend and exercise its sole and effective authority throughout the south, including through the deployment of sufficient numbers of Lebanese armed and security forces, to ensure a calm environment throughout the area, including along the Blue Line, and to exert control over the use of force on its territory and from it.

As their numbers decreased along with their habitat, the birds could no longer rely on high population density for protection.

A user of RSA creates and then publishes the product of two large prime numbers, along with an auxiliary value, as their public key.

It is one of the most important dimensionless numbers in fluid dynamics and is used, usually along with other dimensionless numbers, to provide a criterion for determining dynamic similitude.

The program prints the numbers 1 to 10 to the screen along with their square.

These outcomes occur because giving some passengers full express services means bypassing often large numbers of passengers at intermediate stations along the corridors.

Increasing numbers of migrants from Burma, Laos, and Cambodia as well as nations such as Nepal, India, along with those from the West and Japan have pushed the number of non-nationals residing in Thailand to close to 2 million in 2008, up from about 1. 3 million in the year 2000.

The path loss for the first ten kilometers may be 150 -- 190 dB ( Note: These values are very approximate and are given here only as an illustration of the range in which the numbers used to express the path loss values can eventually be, these are not definitive or binding figures -- the path loss may be very different for the same distance along two different paths and it can be different even along the same path if measured at different times.

When the positive integers are arrayed along the Ulam spiral, prime numbers, represented by dots, tend to collect along diagonal lines.

In 1 we investigate a new series of line involutions in a projective space of three dimensions over the field of complex numbers.

While women had always attended ball games in small numbers ( it was the part of a `` dead game sport '' in the early years of the twentieth century to be taken out to the ball park and to root, root, root for the home team ), they had often sat in patient martyrdom, unable even to read the scoreboard, which sometimes seemed to indicate that one team led another by a score of three hundred and eighty to one hundred and fifty-one.

I used the alias of Robert C. Richards, gave the first three letters and the first and last figure of the license number on the agency heap, but a couple of phony numbers in between.

This polynomial is irreducible over the rationals, and so these three cosines are conjugate algebraic numbers.

A given ( hydrogen-like ) atomic orbital is identified by unique values of three quantum numbers: n, l, and m < sub > l </ sub >.

Ada Lovelace reported in her notes on the Analytical Engine: " Mr. Babbage believes he can, by his engine, form the product of two numbers, each containing twenty figures, in three minutes ".

Currently, Amaranthus includes three recognized subgenera and 70 species, although species numbers are questionable due to hybridization and species concepts.

Constitution of the Athenians, 4th century BCThere were three political bodies where citizens gathered in numbers running into the hundreds or thousands.

There are in round numbers three hundred and sixty uncompounded verbs in Beowulf, and forty of them are poetical words in the sense that they are unrecorded or rare in the existing prose writings.

Since the mass numbers of these are 12, 13 and 14 respectively, the three isotopes of carbon are known as carbon-12, carbon-13, and carbon-14, often abbreviated to < sup > 12 </ sup > C, < sup > 13 </ sup > C, and < sup > 14 </ sup > C.

Gauss also discovered that every positive integer is representable as a sum of at most three triangular numbers on 10 July and then jotted down in his diary the famous note: " ΕΥΡΗΚΑ!

The legacy of Genghis Khan has been contested between China, Mongolia, and Russia, all three states having significant numbers of ethnic Mongols within their borders, and holding territory that was conquered by Khan.

The coordinates of a point p are obtained by drawing a line through p perpendicular to each coordinate axis, and reading the points where these lines meet the axes as three numbers of these number lines.

Carmichael numbers have at least three positive prime factors.

By 1943 however, large numbers of fleet and light carriers became available, which required larger formations of three or four carriers.

The reason why there were three cases to Diophantus, while today we have only one case, is that he did not have any notion for zero and he avoided negative coefficients by considering the given numbers to all be positive in each of the three cases above.

Because this geometrical interpretation of multiplication was limited to three dimensions, there was no direct way of interpreting the product of four or more numbers, and Euclid avoided such products, although they are implied, e. g., in the proof of book IX, proposition 20.

He proved equations for the volumes and areas of various figures in two and three dimensions, and enunciated the Archimedean property of finite numbers.

Training of Wh-sentences has lead improvements in three main areas of discourse for aphasics: increased average length of utterances, higher proportions of grammatical sentences, and larger ratios of numbers of verbs to nouns produced.

The GCD of three or more numbers equals the product of the prime factors common to all the numbers, but it can also be calculated by repeatedly taking the GCDs of pairs of numbers.

The modern definition has four points, which it numbers zero to three in compliance with zero-based numbering common to computer systems.

Plutarch isn't sure exactly how Fabius came up with this number, although he believes it was to honor of the perfection of the number three, as it is the first of the odd numbers, and one of the first of the prime numbers.

The questions range from counting ( e. g., the number of graphs on n vertices with k edges ) to structural ( e. g., which graphs contain Hamiltonian cycles ) to algebraic questions ( e. g., given a graph G and two numbers x and y, does the Tutte polynomial T < sub > G </ sub >( x, y ) have a combinatorial interpretation ?).

It follows from Euler's polyhedron formula, V − E + F = 2 ( where V, E, F are the numbers of vertices, edges, and faces ), that there are exactly 12 pentagons in a fullerene and V / 2 − 10 hexagons.

EELS tends to work best at relatively low atomic numbers, where the excitation edges tend to be sharp, well-defined, and at experimentally accessible energy losses ( the signal being very weak beyond about 3 keV energy loss ).

where V, E, and F are respectively the numbers of vertices ( corners ), edges and faces in the given polyhedron.

It is straightforward to compute the connected components of a graph in linear time ( in terms of the numbers of the vertices and edges of the graph ) using either breadth-first search or depth-first search.

( Graph labeling usually refers to the assignment of labels ( usually natural numbers, usually distinct ) to the edges and vertices of a graph, subject to certain rules depending on the situation.

These hybrids may be present in low numbers even on the edges of Golden-winged Warbler range, far from any populations of Blue-winged Warblers.

The incidence matrix ( or unoriented incidence matrix ) of G is a p × q matrix, where p and q are the numbers of vertices and edges respectively, such that if the vertex and edge are incident and 0 otherwise.

They may be found in good numbers in flower-rich gardens at the edges of forests or plantations.

In other tunas with short pectoral fins, such vessels are either not present or present in small numbers along the edges.

Now replace each letter by four consecutive numbers, starting with 1, 2, 3, 4 in the centre square of the top row, and moving from block to block in the manner of the Siamese method: move up and right, wrapping around the edges, and move down whenever you are obstructed.

It is well known that the numbers along the three outside edges of the n < sup > th </ sup > Layer of the tetrahedron are the same numbers as the n < sup > th </ sup > Line of Pascal's triangle.

The number of edges of the arrangement is at most n < sup > 2 </ sup >, as may be seen either by using the Euler characteristic to calculate it from the numbers of vertices and cells, or by observing that each line is partitioned into at most n edges by the other n − 1 lines ; again, this worst-case bound is achieved for simple arrangements.

Large numbers of tabbed windows scale better with the tabs along the left or right edges of the window, instead of the top or bottom edges.

Instead, they wear a set of numbers stamped in brass, placed onto a piece of black fabric, with red piping on the edges, over the left breast on the uniform shirt.

On a board there are horizontal and vertical pairs that must match and numbers along the edges that can be chosen arbitrarily.

Externally, the mock-up features simulated thermal protection system tiles ( bearing numbers, as the genuine flight articles used to ), paneling that looks like reinforced carbon – carbon ( RCC ) panels on the leading edges of the wings, and actual Michelin tires on the landing gear which were flown in space.

Many of the surfaces of general type that have been investigated lie on ( or near ) the edges of the region of possible Chern numbers.

Other types of planar graphs can be used in lieu of the standard grid, with varying numbers of edges per vertex or vertices per polygon.