If the patient can perceive figure kinesthetically when he cannot perceive it visually, then, it would seem, the sense of touch has immediate contact with the spatial aspects of things in independence of visual representations, at least in regard to two dimensions, and, as we shall see, even this much spatial awareness on the part of unaided touch is denied by the authors.

It may be applied to two characteristic dimensions of a three-dimensional shape.

In this relief, the two principal figures, the stern and courageous pope and the dismayed and frightened Attila, surge forward from the center into three dimensions.

Usually the Cartesian coordinate system is applied to manipulate equations for planes, straight lines, and squares, often in two and sometimes in three dimensions.

In three dimensions, a single equation usually gives a surface, and a curve must be specified as the intersection of two surfaces ( see below ), or as a system of parametric equations.

Finally, Dürer discusses the Delian Problem and moves on to the ' construzione legittima ', a method of depicting a cube in two dimensions through linear perspective.

Instead, the ratio of the speed of the wind and that of the cups, the anemometer factor, depends on the dimensions of the cups and arms, and may have a value between two and a little over three.

Each string is a one-dimensional object, and the largest number of dimensions in which two strings will generically intersect ( and, presumably, annihilate ) is three.

After the advent of quantum mechanics, work done by Landau in 1930 predicted the quantization of the Hall conductance for electrons confined in two dimensions.

Rotating frames and fictitious forces can often reduce the description of motion in two dimensions to a simpler description in one dimension ( corresponding to a co-rotating frame ).

In two dimensions the position vector which has magnitude ( length ) and directed at an angle above the x-axis can be expressed in Cartesian coordinates using the unit vectors and:

The modern Cartesian coordinate system in two dimensions ( also called a rectangular coordinate system ) is defined by an ordered pair of perpendicular lines ( axes ), a single unit of length for both axes, and an orientation for each axis.

In two dimensions, the vector from the origin to the point with Cartesian coordinates ( x, y ) can be written as:

) Conversely, it is often helpful to use the geometry of Cartesian coordinates in two or three dimensions to visualize algebraic relationships between two or three of many non-spatial variables.

The data warehouse bus architecture is primarily an implementation of " the bus ", a collection of conformed dimensions and conformed facts, which are dimensions that are shared ( in a specific way ) between facts in two or more data marts.

Another product rule for the cross product of two vector fields F and G in three dimensions involves the curl and reads as follows:

This means that the radio spectrum is divided into physical channels in two dimensions: frequency and time.

In two dimensions, one way to detect if point D lies in the circumcircle of A, B, C is to evaluate the determinant:

A divide and conquer algorithm for triangulations in two dimensions is due to Lee and Schachter which was improved by Guibas and Stolfi and later by Dwyer.

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

In dimension one this is the real line ; in dimension two it is the Cartesian plane ; and in higher dimensions it is a coordinate space with three or more real number coordinates.

In two or more dimensions we must use, the del or gradient operator, which generalises the first derivative, obtaining

These seem about the only two ways in which the `` unhappy incident '' can now be closed.

A somewhat less fragmented hebephrenic patient of mine, who used to often seclude herself in her room, often sounded through the closed door -- as I would find on passing by, between our sessions -- for all the world like two persons, a scolding mother and a defensive child.

As the bus turned into the main highway and headed toward Hanover I settled back in my seat and closed my eyes, thinking over the events of the past two weeks, trying to put the pieces in order.

The two men watched as Dave closed the door behind them, watched them cross the sidewalk to their car.

The directors of the Comedie do not respond to adverse notices in as docile and subservient a manner as the Broadway producers who, in two instances this season, closed their plays after one performance.

In common with the rest of the South Wales coalfield, Aberdare's coal industry commenced a long decline after World War I, and the last two deep mines still in operation in the 1960s were the small Aberaman and Fforchaman collieries, which closed in 1962 and 1965 respectively.

Generally it is impossible to close two or three transactions at the same instant ; therefore, there is the possibility that when one part of the deal is closed, a quick shift in prices makes it impossible to close the other at a profitable price.

A Broadway staging in April 1988 received disastrous reviews, and closed after just two months.

It opened in July 1903 in Kingston upon Thames, but the show was unsuccessful and it closed after two weeks.

Musician Alan Stivell uses a similar dichotomy, between the Gaelic ( Irish / Scottish / Manx ) and the Brythonic ( Breton / Welsh / Cornish ) branches, which differentiate " mostly by the extended range ( sometimes more than two octaves ) of Irish and Scottish melodies and the closed range of Breton and Welsh melodies ( often reduced to a half-octave ), and by the frequent use of the pure pentatonic scale in Gaelic music.

Ellipses are closed curves and are the bounded case of the conic sections, the curves that result from the intersection of a circular cone and a plane that does not pass through its apex ; the other two ( open and unbounded ) cases are parabolas and hyperbolas.

Since then, nature and man have closed all but two main outlets: the east branch, Damietta ( also seen as Dumyat ; 240 km long ), and the west branch, Rosetta ( 235 km long ).

The two line poetic form as a closed couplet was also used by William Blake in his poem Auguries of Innocence and also by Byron ( Don Juan ( Byron ) XIII ); John Gay ( Fables ); Alexander Pope ( An Essay on Man ).

However, few real-world applications exist in closed isolation, and it is for this reason that two or more closed systems cannot be compared using enthalpy as a basis, although sometimes this is done erroneously.

A scenario with a door, which can be open or closed, and a light, which can be on or off, is statically represented by two propositions open and on.

The show ran for two years and closed in 1961.

The arrangement was terminated after two years when the Limelight closed its doors.

Most temples of the Alpha et Omega and Stella Matutina closed or went into abeyance by the end of the 1930s, with the exceptions of two Stella Matutina temples: Hermes Temple in Bristol, which operated sporadically until 1970, and the Whare Ra in Havelock North, New Zealand, which operated regularly until its closure in 1978.

In one example, references to Marx drastically decreased in Polish sociology after the fall of the revolutionary socialist governments, and two major research institutions which advocated the Marxist approach to sociology were closed.

At birth the joey, only long, crawls into the downward-facing pouch on the mother's belly ( which is closed by a drawstring-like muscle that the mother can tighten at will ) and attaches itself to one of the two teats.

* Balisong: A folding knife also known as a " butterfly knife " or " batangas ", with two handles counter-rotating around the tang such that, when closed, the blade is hidden within the handles.

:: A few years after the publication of my first written story, " Incommunicado ," written 1947 and published 1950, I was taking a break from two weeks of typing, walking down Fifth Avenue, noticing vaguely that there were no coffee shops, and the storefronts were closed and it was dark.

Up to reversal of the orientation of a simple closed curve, if it lies within one of the two crosscaps that make up the Klein bottle, then it is in homology class ( 1, 0 ) or ( 1, 1 ); if it cuts the Klein bottle into two Möbius bands, then it is in homology class ( 2, 0 ); if it cuts the Klein bottle into an annulus, then it is in homology class ( 0, 1 ); and if bounds a disk, then it is in homology class ( 0, 0 ).