In the quantum picture of Heisenberg, Schrödinger and others, the Bohr atom number n for each orbital became known as an n-sphere in a three dimensional atom and was pictured as the mean energy of the probability cloud of the electron's wave packet which surrounded the atom.

For example a two dimensional array with three rows and four columns might provide access to the element at the 2nd row and 4th column by the expression: ( in a row major language ) and ( in a column major language ) in the case of a zero-based indexing system.

Thus two indices are used for a two dimensional array, three for a three dimensional array, and n for an n dimensional array.

The equation above is a vector equation: in a three dimensional flow, it can be expressed as three scalar equations.

Computer methods are utilised to rebuild a three dimensional view of the sample, prior to it being evaporated, providing atomic scale information on the structure of a sample, as well as providing the type atomic species information.

The computational conversion of the ion sequence data, as obtained from a position sensitive detector, to a three dimensional visualisation of atomic types, is termed " reconstruction ".

Such information may not be amenable to analysis by other means ( e. g. TEM ) owing to the difficulty in generating a three dimensional dataset with composition.

The word video in video game traditionally referred to a cathode ray tube ( CRT ) display device, but it now implies any type of display device that can produce two or three dimensional images.

In particular, they are used to engineer one, two and three dimensional lattices for a Hubbard model with pre-specified parameters.

Continuum mechanics models begin by assigning a region in three dimensional Euclidean space to the material body being modeled.

This formula shows how to calculate the curl of F in any coordinate system, and how to extend the curl to any oriented three dimensional Riemannian manifold.

Linear polymers are created using monomers with two reactive end groups and monomers with more than two end groups give three dimensional polymers which are crosslinked.

Most frequently, sophisticated mathematics is used to manipulate complex three dimensional polygons, apply “ textures ”, lighting and other effects to the polygons and finally rendering the complete image.

To draw this image the computer uses math to calculate how to project this image, defined by three dimensional data, onto a two dimensional computer screen.

Extension of this approach to three dimensional space curves leads to the Frenet – Serret formulas.

A three dimensional Cartesian coordinate system, with origin O and axis lines X, Y and Z, oriented as shown by the arrows.

In a three dimensional cartesian space a similar identification can be made with a subset of the quaternions.

In physical terms, the divergence of a three dimensional vector field is the extent to which the vector field flow behaves like a source or a sink at a given point.

" There was a diorama of a hub station where all three lines intersect located on the second floor of the north show building ( Interplanetary Convention Center ).

Two of the three Model Magazine in Japan, Hobby Japan and Dengeki Hobby was informed to build their own Turn A model using the old 1 / 100 kit for a display in the official announcement of the MS100 Turn A. Hobby Japan modeller Seira Masuo drastically redesigned the unit while Dengeki Hobby modeller went for the original approach of diorama.

Mimicking the regional administrative subdivision of the Nazi Party, the Bund divided the United States in the three Gaue: Gau Ost ( East ), Gau West, and Gau Midwest.

In total, there were twelve Jewish deputies in the Duma, falling to three in the Second Duma ( February 1907 to June 1907 ), two in the Third Duma ( 1907 – 1912 ) and again three in the fourth, elected in 1912, none of them being affiliated to the Bund.

In all, 4, 000 Jews received funds from Zegota directly, 5, 600 from the Jewish National Committee and 2, 000 from the Bund ( because of overlaps, the total number of Jews helped by all three organizations in Warsaw was about 8, 500 ).

The Jewish National Committee had some 5, 600 Jews under its care, and the Bund an additional 1, 500, but the activities of the three organizations overlapped to a considerable degree.

Avi Lewis is the great grandson of Moshe Losz ( Lewis ), an outspoken member of the Jewish Bund who left Svisloch, Poland ( today Belarus ), for Montreal in 1921, with his wife Rose ( née Lazarovitch ) and three children, after being interrogated by the Russians for days and threatened with death or the Gulag for his political activity.

There were three other men within this prison whom Barton would have liked to liberate, but they were in other cell blocks.

The only thing which would have attracted attention was that two wore the uniform of prison guards, three the striped suits of convicts.

It was spoiled now for seed, and it would sour and mold in three days if they failed to find a place and fuel to dry it.

Today's evidence, such as the fact that only three Southern states ( South Carolina, Alabama and Mississippi ) still openly defy integration, would have astounded many of yesterday's Southerners into speechlessness.

A more complete list would also include Bradbury's `` The Pedestrian '' ( 1951 ), Philip K. Dick's Solar Lottery ( 1955 ), David Karp's One ( 1953 ), Wilson Tucker's The Long Loud Silence ( 1952 ), Jack Vance's To Live Forever ( 1956 ), Gore Vidal's Messiah ( 1954 ), and Bernard Wolfe's Limbo ( 1952 ), as well as the three perhaps most outstanding dystopias, Frederik Pohl and C. M. Kornbluth's The Space Merchants ( 1953 ), Kurt Vonnegut's Player Piano ( 1952 ), and John Wyndham's Re-Birth ( 1953 ), works which we will later examine in detail.

The three would never meet again, but for some reason or other Mr. Podger was sure he would always remember the incident.

The publication last July of the party's Draft Program -- that blueprint for the `` transition to communism '' -- had led the uninitiated to suppose that this Twenty-second Congress would be a sort of apotheosis of the Khrushchev regime, a solemn consecration of ideas which had, in fact, been current over the last three or four years ( i.e., since the defeat of the `` anti-party group '' ) in all theoretical party journals.

I would not want to be one of those writers who begin each morning by exclaiming, `` O Gogol, O Chekhov, O Thackeray and Dickens, what would you have made of a bomb shelter ornamented with four plaster-of-Paris ducks, a birdbath, and three composition gnomes with long beards and red mobcaps ''??

Now she could let out the three parakeets without fear they would be stepped on or that Stowey would let them out one of the doors ; ;

Every few minutes she would awaken for a moment to review things: Stowey, yes, was on his way south, and the two boys were away in school, and nothing was burning on the stove, and Lucretia was coming for dinner and bringing three guests of hers.

Bobby Joe and two or three of the other boys declared they had never been possum-hunting, and Uncle Bill Farnworth ( from Mama Albright's side of the family ) said he would just get up from there and take them, right then.

These three installment dates would be: October 26, January 26, and April 25 ( Providence ) and November 15, February 16 and May 15 ( Cranston ).

You certainly couldn't take them into the little apartment and if you tried to farm them out for two or three days every week they would become so confused that they would have nervous breakdowns.

For exactly three unpaired electrons the coefficient would be 3.10.

It is distinctly possible, therefore, that simultaneous pressures in all three vessels would have rendered the shunts inoperable and hence, uninjectable.

He would tell the Poles, he said, that they had been `` given a fine place to live in, more than three hundred miles each way ''.

Then the dynamic program would require about a minute whereas the direct search would take more than three millennia!!

It would be made in three waves -- the first to lay down a smokescreen, the second to drop the gas bombs, the third to shower incendiaries which would burn everything below.

An average national figure for two to three years of treatment would be $650 to $1,000.