If is an outward pointing in-plane normal, whereas is the unit vector perpendicular to the plane ( see caption at right ), then the orientation of C is chosen so that a tangent vector to C is positively oriented if and only if forms a positively oriented basis for R < sup > 3 </ sup > ( right-hand rule ).

As for the other examples above, because unit vectors cannot change magnitude, their rate of change is always perpendicular to their direction ( see the left-hand insert in the image above ):

To see this, the three corresponding normal vectors of the corner's perpendicular sides can be considered to form a basis ( a rectangular coordinate system ) ( x, y, z ) in which to represent the direction of an arbitrary incoming ray, b, c. When the ray reflects from the first side, say x, the ray's x component, a, is reversed to-a while the y and z components are unchanged, resulting in a direction of b, c. Similarly, when reflected from side y and finally from side z, the b and c components are reversed.

As the diagonals are the bisectors of the neighbouring sides, we can see that the pale line makes an angle equal to α / 2 with the perpendicular of the lines of each pattern.

Also, since the three columns of the rotation matrix represent the three versors of a reference frame rotating together with the rigid body, any rotation about any axis becomes now visible, while the vector would not rotate if the rotation axis were parallel to it, and hence it would only describe a rotation about an axis perpendicular to it ( i. e., it would not see the component of the angular velocity pseudovector parallel to it, and would only allow the computation of the component perpendicular to it ).

To make the perpendicular to the line AB through the point P using compass and straightedge, proceed as follows ( see figure ):

The Eixample grid introduced innovative design elements that made it exceptional at the time and even unique among subsequent grid plans: a ) a very large block measuring 113m by 113m ( 370 x 370 feet ) far larger than the old city blocks and larger than any Roman, Greek blocks and their mutations ( see drawing below ); b ) a 20 m ( 66 feet ) road width ( right of way ) compared to mostly 3 m in the old city c ) square blocks with truncated corners and d ) major roads perpendicular and diagonal measuring 50 m ( 164 feet ) in width.

From Prescott Street looking toward the curved studio space, one can see the brise-soleil that are placed perpendicular to the direction of the central portion of the ramp, making only their narrow ends visible from the street.

If an external magnetic field is then applied perpendicular to the direction of current flow, then the resulting Lorentz force will cause the electrons to accumulate at one edge of the sample ( see part ( c ) of the figure ).

The pair-rule genes are expressed in striped patterns of seven bands perpendicular to the anterior-posterior axis ( see Figure 6, even-skipped ).

The magnetization rotates along an axis that is perpendicular to the plane of the wall ( see image ) unlike the Néel wall where the rotation axis is parallel to the plane of the wall.

Crossflow is a design in which the air flow is directed perpendicular to the water flow ( see diagram below ).

In order to see the stereoscopic image, the viewer must sit within a very narrow angle that is nearly perpendicular to the screen, limiting the size of the audience.

Call the point closer to the perpendicular B, and the farther point C. Draw the line m connecting P to C. Then the distance from B to m is smaller than the distance from P to l, contradicting the original definition of P and l. One way to see this is to notice that the right triangle with hypotenuse BC is similar to and contained in the right triangle with hypotenuse PC.

Note that based on this form for B we can see that A is constant along any given magnetic field line, since is everywhere perpendicular to B.

Indeed, the format is ideally suited to such analysis because the viewer is afforded the opportunity to see how a person reacts on the outside through the constant recording of their actions and also what they feel on the inside through the Diary Room / Confession Room.

In 2003 Lance Milbrand stayed on the island for 41 days on a National Geographic Society expedition, recording his adventure in video, photos, and a written diary ( see links below ).

" At age nine, he observed another astronomical event, a lunar eclipse in 1580, recording that he remembered being " called outdoors " to see it and that the moon " appeared quite red ".

After auditioning " Monday Morning Blues " at his home, he took part in two recording sessions, in Memphis and New York City ( see Discography below ).

For example, the BBC suggests program makers who are recording in 16: 9 frame their shots in a 14: 9 aspect ratio which is then broadcast for non-widescreen televisions with small black bars at the top and bottom of the picture, while owners of widescreen TV sets see the full 16: 9 picture.

Ono has stated that the couple were thinking about going out to dinner ( after spending several hours in a recording studio ), but were returning to their apartment instead, because John wanted to see Sean before he was put to bed.

It is the only recording of a Puccini opera by its original conductor ( see Recordings below ).

( For related discussion, see MIDI timecode, word sync, and recording system synchronization.

Most digital media are based on translating analog data into digital data and vice-versa ( see digital recording, digital video, television versus digital television ).

There seems to be a complete album ( recorded but unreleased ) from that recording session, which George himself confirmed when he and Louis were interviewed around 1987 / 1988 for the Blues & Soul magazine in the United Kingdom ( see link below ).

* Elemental Cost Analysis, a method of recording which enables the cost of a scheme to be monitored during design development ; see Elemental cost planning

The Beatles had to share the studio with classical musicians, as McCartney would relate in 1988: " These days you go to a recording studio and you tend to see other groups, other musicians ... you'd see classical sessions going on in ' number one.

Shipman was the last person to see her alive, and later signed her death certificate, recording " old age " as cause of death.

As an academic discipline, it refers both to a set of objects of study and a method by which they are studied -- the method may be called variously " oral traditional theory ", " the theory of Oral-Formulaic Composition " and the " Parry-Lord theory " ( after two of its founders ; see below ) The study of oral tradition is distinct from the academic discipline of oral history, which is the recording of personal memories and histories of those who experienced historical eras or events.

As well as the booms ( see below for a recording ) and chings of their mating calls, it will often skraark to announce its location to other birds.

As technologies emerge, including VoIP, new questions are raised about law enforcement access to communications ( see VoIP recording ).

On December 30, 2008 Randy Stonehill's album Paradise Sky, the official soundtrack to Fallen Angel, was released by Bryan Duncan's Red Road Records, which was advertised as Paradise Sky: A Tribute to Larry Norman, attracting some criticism: " It ’ s hard to see how Randy Stonehill recording new versions of his own songs, but this time without the involvement of the late Larry Norman, is in any sense a tribute.

The orchestra's recording of Aaron Copland's Appalachian Spring at Sound 80 studios was one of the earliest digital audio recordings to see commercial release.

The song has the distinction of being the first Beatles recording to be referenced by the group themselves: the second verse of Lennon's " I Am the Walrus ", released on Magical Mystery Tour at the end of 1967, contains the lyric " see how they fly, like Lucy in the sky, see how they run ...".

Similarly, if one loads an old jazz recording into a DAW and tries to automatically calculate the average BPM, one may be surprised to see just how much the tempo naturally increases and decreases, depending on the current mood of the piece.

Brian Robertson, president of CRIA says, `` What this demonstrates is the vulnerability of the recording industry to new technology ... All we see is just another example of theft.

BCE demonstrated a color model in February 1955, using a longitudinal recording on half-inch ( 1. 3 cm ) tape, essentially similar to what RCA had demonstrated in 1953 ( see below ).

Due to the averaging it is far more stable than any clock would be alone ( see signal averaging for a discussion ).

This version includes only two verses, the second of which returns to Bates ' original intention ( see below ).

In Western countries, a bead frame similar to the Russian abacus but with straight wires and a vertical frame has been common ( see image ).

There is a wide variety of representations possible and one can express a given Turing machine program as a sequence of machine tables ( see more at finite state machine, state transition table and control table ), as flowcharts ( see more at state diagram ), or as a form of rudimentary machine code or assembly code called " sets of quadruples " ( see more at Turing machine ).

" It is often said that Korzybski opposed the use of the verb " to be ," which is an exaggeration ( see " Criticisms " below ).

A writing system for it was devised in 1119 AD and an inscription using this system is known from 1185 ( see List of Jurchen inscriptions ).

It is first attested by an inscription dated to 1224 or 1225 AD and by the Secret History of the Mongols, written in 1228 ( see Mongolic languages ).

** If the set A is infinite, then there exists an injection from the natural numbers N to A ( see Dedekind infinite ).

For the Hungarian clothing, see Atilla ( clothing ).

For other uses, see Attila ( disambiguation ).

Byzantine control was challenged by Arab raids starting in the 7th century ( see Byzantine – Arab Wars ), but in the 9th and 10th century a resurgent Byzantine Empire regained its lost territories and even expanded beyond its traditional borders, into Armenia and Syria ( ancient Aram ).

Anatolia remained multi-ethnic until the early 20th century ( see the rise of nationalism under the Ottoman Empire ).

Since the foundation of the Republic of Turkey in 1923, Anatolia has become Turkey, its inhabitants being mainly Turks and Kurds ( see demographics of Turkey and history of Turkey ).

The protons and neutrons, in turn, are held to each other in the nucleus by the nuclear force, which is a residuum of the strong force that has somewhat different range-properties ( see the article on the nuclear force for more ).

The Roman Catholic Church does not recognise most Anglican orders ( see Apostolicae Curae ).

" ( Revelation 22: 13, KJV, and see also 1: 8 ).

This education, history, and background are hinted at in the Margaret Rutherford films ( see below ), in which Miss Marple mentions her awards at marksmanship, fencing and equestrianism ( although these hints are played for comedic value ).

* 1917 – World War I: The United States declares war on Germany ( see President Woodrow Wilson's address to Congress ).

Shortly after, 18 British Army soldiers are killed in an ambush near Warrenpoint, Northern Ireland ( see Warrenpoint ambush ).

" There be some standing here which shall not taste of death till they see the Son of man coming in his kingdom " ( Matthew 16: 28 ) ( or, " until they see that the kingdom of God has come with power " ( Mark 9: 1 ); or, " till they see the kingdom of God " ( Luke 9: 27 ).

* For Ibn Sina's life, see Ibn Khallikan's Biographical Dictionary, translated by de Slane ( 1842 ); F. Wüstenfeld's Geschichte der arabischen Aerzte und Naturforscher ( Göttingen, 1840 ).