Given these connotations, dandyism can be seen as a political protestation against the rise of levelling egalitarian principles, often including nostalgic adherence to feudal or pre-industrial values, such as the ideals of " the perfect gentleman " or " the autonomous aristocrat ", though paradoxically, the dandy required an audience, as Susann Schmid observed in examining the " successfully marketed lives " of Oscar Wilde and Lord Byron, who exemplify the dandy's roles in the public sphere, both as writers and as personae providing sources of gossip and scandal.

Given this account, historian Oscar G. Darlington asserts that Gerbert's division by 60 degrees instead of 360 allowed the lateral lines of his sphere to equal to six degrees.

Given the sphere defined by the points ( x, y, z ) such that

Given a point in the plane, draw a straight line connecting it with the north pole on the sphere.

Given a vector at the north pole, one can transport this vector along a curve by rotating the sphere in such a way that the north pole moves along the curve without axial rolling.

Given a unit sphere, a " triangle " on the surface of the sphere is defined by the great circles connecting three points u, v, and w on the sphere.

* Given Imaging ( NASDAQ: GIVN )-a pioneer in the sphere of capsule endoscopy.

Given that this mass is confined inside a 44 million km diameter sphere, this yields a density ten times higher than previous estimates.

Given any r on this sphere, and an angle – π < a ≤ π, the versor is on the 3-sphere of H.

Given a reasonable prior knowledge function, BME will yield a state strictly within the n-dimensional bloch sphere.

Given the definition of morpheme as " the smallest meaningful unit " Nanosyntax aims to account for idioms where it is often an entire syntactic tree which contributes " the smallest meaningful unit.

Given that the unified atomic mass unit is one twelfth the mass of one atom of carbon-12, meaning the mass of such an atom is 12 u, it follows that there are N < sub > A </ sub > atoms of carbon-12 in 0. 012 kg of carbon-12.

A conceptually very simple method for generating exponential variates is based on inverse transform sampling: Given a random variate U drawn from the uniform distribution on the unit interval ( 0, 1 ), the variate

Given a system of n-dimensional variables ( physical variables ), in k ( physical ) dimensions, write the dimensional matrix M, whose rows are the dimensions and whose columns are the variables: the ( i, j ) th entry is the power of the ith unit in the jth variable.

Given a ring R and a unit u in R, the map ƒ ( x ) = u < sup >− 1 </ sup > xu is a ring automorphism of R. The ring automorphisms of this form are called inner automorphisms of R. They form a normal subgroup of the automorphism group of R.

Given ω = ( xθ, yθ, zθ ), with v = ( x, y, z ) a unit vector, the correct skew-symmetric matrix form of ω is

Given the ferocity of the Russian defense, everyone was aware that such a move would cost the lives of thousands of Guardsmen, but it was thought that the presence of this prestigious unit would bolster the morale of the entire army for a final decisive push.

Given a unit vector n in R < sup > 3 </ sup > and an angle φ, let R ( φ, n ) represent a counterclockwise rotation about the axis through n ( with orientation determined by n ).

Given *- representations π, π ' each with unit norm cyclic vectors ξ ∈ H, ξ ' ∈ K such that their respective associated states coincide, then π, π ' are unitarily equivalent representations.

Given this diversity, it is difficult to generalize widely about the folklore of India as a unit.

Given an incident direction from the surface to the light source and the surface normal direction the specularly reflected direction ( all unit vectors ) is:

Given the variable half-life of flecainide and the characteristic QRS prolongation on ECG elicited in flecainide toxicity, especially at rapid heart rates, starting flecainide or changing the level of the drug is done under telemetry monitoring ( preferably in a hospital telemetry unit ) until a steady state plasma level has been achieved, typically three to five days after the dose has been increased.

Given a unit vector u = ( u < sub > x </ sub >, u < sub > y </ sub >, u < sub > z </ sub >), where u < sub > x </ sub >< sup > 2 </ sup > + u < sub > y </ sub >< sup > 2 </ sup > + u < sub > z </ sub >< sup > 2 </ sup > = 1, the matrix for a rotation by an angle of θ about an axis in the direction of u is

The chords are of considerable historical importance because, along with the sides of the triangle and tetragon ( square ), they enable the generation of a table of half chords ( effectively sine values ) Given the unit circle with sector ABO subtending an arc of, we may write − a relationship expressed in words by Copernicus:

Given a rotation axis z represented by a unit vector k

Given that LRAC is an average quantity, one must not confuse it with the long-run marginal cost curve, which is the cost of one more unit.

Given the time required for bonding and cohesion to build in standard military units, it is questionable if six-month rotations are long enough to generate high unit cohesiveness in an international, joint-services force such as the NRF:

→ Given a fixed stock of labor, the impact on output of the last unit of capital accumulated will always be less than the one before.

Given a highly controlled moral teaching unit at a young age, he is able to re-program it by instinct to become his personal assistant and, eventually, partner in crime.

Given a timelike unit vector field ( which can be interpreted as a family or congruence of nonintersecting world lines, not necessarily geodesics ), Raychaudhuri's equation can be written

Given a circle k, with a center O, and a point P outside of the circle, we want to construct the ( red ) tangent ( s ) to k that pass through P. Suppose the ( as yet unknown ) tangent t touches the circle in the point T. From symmetry, it is clear that the radius OT is orthogonal to the tangent.

Given the lack of any variable-ratio transmission between the piston engine and the wheels, the designer is forced to compromise between desired torque and desired maximum speed ; the radius of the driving wheels determines this.

Given three mutually tangent circles (< font color =" black "> black </ font >), what radius can a fourth tangent circle have?

Given a mean AGB lifetime of one Myr and an outer velocity of, its maximum radius can be estimated to be roughly ( 30 light years ).

Given that spinning a Dyson Sphere would result in the atmosphere pooling around the equator, the Ringworld removes all the extraneous parts of the structure, leaving a spinning band landscaped on the sun-facing side, with the atmosphere and inhabitants kept in place through centrifugal force and 1000 mile high perimeter walls ( rim walls ).

Given that Fine Gael normally received 25 % of the election result, and were reduced to third place this was an achievement in itself.

The functional equation was established by Riemann in his 1859 paper On the Number of Primes Less Than a Given Magnitude and used to construct the analytic continuation in the first place.

Given that this is the only colonial era mention of this place and that at the time it was already in ruins, perhaps a pre-revolt estancia which was located there gave its name to the area.

* An episode of The Simpsons titled Any Given Sundance took place primarily in Park City, Utah.

When the measure was sent in May to the parliament they said " Given the damage it produces on those rules which allow the life in community, ensure the dignity of the person and equality between sexes, this practice, even if it is voluntary, cannot be tolerated in any public place ".

Given Reagan National Airport's proximity to the city and high-security facilities, Reagan National has extra security precautions required by the Washington Air Defense Identification Zone that were in place since the airport began operations.

Trials are now held at the Hall of the Worshipful Company of Goldsmiths, having previously taken place at the Palace of Westminster Given modern production methods, it is unlikely that coins would not conform, although this has been a problem in the past as it would have been tempting for the Master of the Mint to steal precious metals.

Given that the tune was developed in an oral tradition, it is impossible to say for certain which of these influences may have played a specific role in the creation of this tune, but it is certain that numerous folk influences from different cultures such as these were prominent in the musical culture of the camp meeting, and that such influences were freely combined in the music-making that took place in the revival movement.

Given that most university study is subsidized ( either because it takes place at a state or public university, or because the student receives government loans or grants ), this type of underemployment may also be an ineffective use of public resources.

Given its prominent place in the Forum, it seems that the Curia Hostilia was a symbol of the strength of the Roman Republic.

Given the lack of standardized road signs at the time, it was decided to place distinctive bells along the route, hung on supports in the form of an high shepherd's crook, also described as " a Franciscan walking stick.

Given the tendency of political parties in India to make and break alliances frequently, the National Democratic Alliance does not have a formal governing structure in place, such as an executive board or politburo.

Given its proximity to these buildings and the fact that it has served as a home and meeting place for many notable political figures over the years, the hotel has often been referred to as " the third chamber of Parliament ".

Given that the cost of egg removal concurrent with parasitism is unrecoverable, the best defense for hosts is avoiding parasitism in the first place.

Although he submitted a transfer request during the 2000 – 01 campaign after losing his position in the starting line-up, it was denied, and Given went on to regain his place.

Given submitted a written transfer request in December 2000, after failing to regain his place in the first-team from Steve Harper after a thigh injury had ruled him out of a match against Leeds United.

" An injury to Harper led to Given being recalled to the first team, and he kept his place for the rest of the season.

Given played all 38 league games for the club, as well as his 12 European appearances, as the team finished in third place in the Premier League, meaning the club would enter the Champions League qualifying round in 2003 – 04.

Given missed two Premier League games as the club finished in 14th place.

Given returned on 18 November for Newcastle's 1 – 1 Premier League draw at Arsenal, and ended the season with 22 league appearances as the club finished in 13th place, and reached the last 16 of the UEFA Cup.

Given the choice of a harbour or a new church, in 1875 the islanders asked the estate to provide a place of worship ; a Methodist chapel was built.

Given the series ' style, for some critics the robot battles seem out of place, Commissioned by Beck, with the purpose of finally humiliating Roger and Big O, and constructed by Yoshifura-Yakamoto Industries, in a ploy for lucrative contracts with the Paradigm Corporation.

Given that the mythological and allegorical elements of the story defy place and time, the historicity of figures in the cycle is indeterminate.