MakeSet ( u );

The other important operation, MakeSet, which makes a set containing only a given element ( a singleton ), is generally trivial.

It uses the MakeSet, Find, and Union functions of a disjoint-set forest.

Using this weighted-union heuristic, a sequence of m MakeSet, Union, and Find operations on n elements requires O ( m + nlog n ) time.

Just applying this technique alone yields a worst-case running-time of per MakeSet, Union, or Find operation.

MakeSet creates a list of one element.

In the C-plane we construct a set of rectangular Cartesian coordinates u, V with the origin at Q and such that both C and Af have finite slope at Q.

Muhammad ` Alí became jealous of his half-brother and set out to establish authority for himself as an alternative leader with the support of his brothers Badi ' u ' llah and Diya ' u ' llah.

The practice of dropping the letter u in such words was also considered a labour-saving technique during the early days of printing in which movable type was set manually.

To find the runner speed at maximum power, take the derivative of P with respect to u and set it equal to zero, 2ρQ ( V < sub > i </ sub > − 2u ).

The set of injective functions from X to Y may be denoted Y < sup >< u > X </ u ></ sup > using a notation derived from that used for falling factorial powers, since if X and Y are finite sets with respectively m and n elements, the number of injections from X to Y is n < sup >< u > m </ u ></ sup > ( see the twelvefold way ).

In the following algorithm, the code, searches for the vertex < code >< var > u </ var ></ code > in the vertex set < code >< var > Q </ var ></ code > that has the least < code > dist </ code > value.

Over the real numbers this is equivalent to being able to define a symmetric scalar product, u. v = ½ ( uv + vu ) that can be used to orthogonalise the quadratic form, to give a set of bases

A subset T is totally ordered if for any s, t in T we have s ≤ t or t ≤ s. Such a set T has an upper bound u in P if t ≤ u for all t in T. Note that u is an element of P but need not be an element of T. An element m of P is called a maximal element ( or non-dominated ) if there is no element x in P for which m < x.

For a grayscale image u ( x, y ), consider the set

* For any open set Ω ⊆ C, the set A ( Ω ) of all analytic functions u: Ω → C is a Fréchet space with respect to the uniform convergence on compact sets.

For satellite communications, the microwave frequencies of the C-band perform better under adverse weather conditions in comparison with K < sub > u </ sub > band ( 11. 2 GHz to 14. 5 GHz ) microwave frequencies, which are used by another large set of communication satellites.

And here we shall set forth the revelation, the declaration, and the narration of all that was hidden, the revelation by Tzacol, Bitol, Alom, Qaholom, who are called Hunahpú-Vuch, Hunahpú-Utiú, Zaqui-Nimá-Tziís, Tepeu, Gucumatz, u Qux cho, u Qux Paló, Ali Raxá Lac, Ah Raxá Tzel, as they were called.

Any member of B is in the set ker r + im u ; since for all b in B, b =

The album also went on pre-sale at the official t. A. T. u. web shop on 18 October, with a small number of buyers receiving a limited-edition postcard set as a prize.

depending on an ordered pair of real variables ( u, v ), and defined in an open set D in the uv-plane.

The transitive closure of G has an edge u → v for every related pair u ≤ v of distinct elements in the reachability relation of G, and may therefore be thought of as a direct translation of the reachability relation ≤ into graph-theoretic terms: every partially ordered set may be translated into a DAG in this way.

Find ( u ). ancestor := u ;

The projection function P takes as its input a camera vector ( denoted < u > camera </ u >) and another vector the position of a 3D point in space ( denoted < u > xyz </ u >) and returns a 2D point that has been projected onto a plane in front of the camera ( denoted < u > XY </ u >).

Given a finite set of data, the algorithm returns a list of c cluster centres and a partition matrix, where each element u < sub > ij </ sub > tells

* < tt >- u </ tt >: Backspaces and carriage returns to be treated as printable characters ;

REVmb or 802. 11mb, as it was called, created a single document that merged ten amendments ( 802. 11k, r, y, n, w, p, z, v, u, s ) with the 2007 base standard.

Assuming hydrogen and oxygen are standard weights in this image ( as opposed to deuterium oxide ) the molecular mass should be 18. 01528 u.

The unified atomic mass unit ( symbol: u ) or dalton ( symbol: Da ) is the standard unit that is used for indicating mass on an atomic or molecular scale ( atomic mass ).

An underlined < u > k </ u > sometimes appears when writing the Southern dialect, to indicate that the / k / in question corresponds to the ng of the standard language.

This follows from the fact that the standard dot product between two vectors u and v can be written purely in terms of length:

In standard usage ( outside heavy metal ) the umlaut version of a vowel is pronounced differently from the normal vowel ; the letters u and ü represent distinct sounds, as do o vs. ö and a vs. ä.

It mandates the support of one option flag, u ( unbuffered ), by which each byte is written to standard output without buffering as it is read.

giving precisely the left-handed fermionic content of the standard model, where for every generation d < sup > c </ sup >, u < sup > c </ sup >, e < sup > c </ sup > and ν < sup > c </ sup > stand for anti-down-type quark, anti-up-type quark, anti-down-type lepton and anti-up-type lepton, respectively, and q and l stand for quark and lepton.

Some digital signals remain freely accessible ( sometimes using K < sub > u </ sub > band dishes as small as one meter ) under the international DVB-S standard or the US Motorola-proprietary Digicipher system.

Whatever you succeed in producing is < u > by-definition </ u > merely another standard number.

Older Spanish transcriptions ( as well as the 1975 standard ) used the letters o and e as well ; this is because the pronunciation of / u / and / i / opens to and adjacent to a / q /, an instance of allophonic variation.

In the central area of the subdialect, the diphthong uo exists in some words instead of the archaic l and more common u like vuok or stuop, instead of the standard modern vuk and stup.

Also, izhitsa in its standard form or ( mostly ) in a tailed variant ( similar to lowercase y ) was a part of a digraph оѵ / оу representing sound / u / ( the digraph is known as Cyrillic letter Uk, and today's Cyrillic letter U originates from its simplified form ).

Unlike standard magoptical prints, in which the optical track was a mono version of the magnetic stereo tracks, the optical track on magnetic Sensurround prints contained < u > only </ u > the control tones.

The Sackur – Tetrode constant, written S < sub > 0 </ sub >/ R, is equal to S / kN evaluated at a temperature of T = 1 kelvin, at standard pressure ( 100 kPa or 101. 325 kPa, to be specified ), for one mole of an ideal gas composed of particles of mass equal to one atomic mass unit ( m < sub > u </ sub > = ).

* The defunct PBS-X ( east / west, with the western feed tagged " XD ") and other secondary PBS services ( such as PBS You and PBS Kids ( in standard definition ) are or had been also on the AMC-21 satellite as K < sub > u </ sub >- band transponder 24 ( 12180 MHz, vertical polarity, DVB AC3-only ), unencrypted.