For each element a of a group G, conjugation by a is the operation φ < sub > a </ sub >: G → G given by ( or a < sup >− 1 </ sup > ga ; usage varies ).

Where U and V are tangent vectors and g < sub > ij </ sub > are the components of the metric tensor G,

With the definitions used before 2012, the astronomical unit was dependent on the heliocentric gravitational constant, that is the product of the gravitational constant G and the solar mass M < sub >☉</ sub >.

Neither G nor M < sub >☉</ sub > can be measured to high accuracy in SI units, but the value of their product is known very precisely from observing the relative positions of planets ( Kepler's Third Law expressed in terms of Newtonian gravitation ).

( When measured in decibels it is logarithmically related to the power ratio: G ( dB )= 10 log ( P < sub > out </ sub > /( P < sub > in </ sub >)).

* If G is a locally compact Hausdorff topological group and μ its Haar measure, then the Banach space L < sup > 1 </ sup >( G ) of all μ-integrable functions on G becomes a Banach algebra under the convolution xy ( g ) = ∫ x ( h ) y ( h < sup >− 1 </ sup > g ) dμ ( h ) for x, y in L < sup > 1 </ sup >( G ).

The questions range from counting ( e. g., the number of graphs on n vertices with k edges ) to structural ( e. g., which graphs contain Hamiltonian cycles ) to algebraic questions ( e. g., given a graph G and two numbers x and y, does the Tutte polynomial T < sub > G </ sub >( x, y ) have a combinatorial interpretation ?).

The two functors F and G are called naturally isomorphic if there exists a natural transformation from F to G such that η < sub > X </ sub > is an isomorphism for every object X in C.

The cell cycle consists of four distinct phases: G < sub > 1 </ sub > phase, S phase ( synthesis ), G < sub > 2 </ sub > phase ( collectively known as interphase ) and M phase ( mitosis ).

28 .</ ref > One of the three Milesian philosophers, he is identified as a younger friend or student of Anaximander .< ref > Kirk, G. S., J. E.

124-126 .</ ref > While other philosophers also recognized such transitions in states of matter, Anaximenes was the first to associate the quality pairs hot / dry and cold / wet with the density of a single material and add a quantitative dimension to the Milesian monistic system .< ref > Kirk, G. S., J. E.

While the sun is similarly described as being aflame, it is not composed of rarefied air like the stars but rather of earth like the moon ; its burning comes not from its composition but rather from its rapid motion .< ref > Kirk, G. S., J. E.

In 1978, Joyce G. Baldwin, former principal of Trinity College, Bristol, proposed her view of the chiastic language structure for the Aramaic portion of Daniel chapters 2-7 .</ sup >

* Nicola Melis, “ Lo statuto giuridico degli ebrei dell ’ Impero Ottomano ”, in M. Contu – N. Melis – G. Pinna ( a cura di ), Ebraismo e rapporti con le culture del Mediterraneo nei secoli XVIII-XX, Giuntina, Firenze 2003.

: 1 ⊆ G < sub > nil </ sub > ⊆ G < sub > sol </ sub > ⊆ G < sub > con </ sub > ⊆ G.

: G / G < sub > con </ sub > is discrete

: G < sub > con </ sub >/ G < sub > sol </ sub > is a central extension of a product of simple connected Lie groups.

The Pope sent as nuncio extraordinary to Ireland, Giovanni Battista Rinuccini, archbishop of Fermo, who arrived at Kilkenny with a large quantity of arms, military supplies including twenty thousand pounds of gunpowder, and a very large sum of money .< ref >" con somme cospicue di pecunia ed altre munizioni ", G. Alazzi, Nunciatura in Irlanda di Monsignor Gio.

* Sarabande con Variazioni in G minor on a Theme by George Frideric Handel for violin and viola ( 1897 )

' Ovadyah Sforno e i suoi rapporti con i cristiani, in M. G.

# Andante con moto, Cantabile e con piacevole, G major, 3 / 4 time

575 BC ) from Castelletto Ticino ( S 113 ), containing the name χosioiso ( from: F. M. Gambari, G. Colonna, ‘ Il bicchiere con iscrizione arcaica da Castelletto Ticino e l ’ adozione della scrittura nell ’ Italia nord-occidentale ,’ Studi Etruschi 54 ( 1986 ), 130 ).

# Allegro con brio, 4 / 4 in G minor

* Carlo, G. De, and F. Karrer, Paesaggio con figure, Spazio e Società 1988, no.

* Al G. Swindler ( Voiced by Carl Ballantine ): As his name suggests, he is a businessman and con artist who constantly swindles the perennially gullible Jon, but is eventually outwitted by Garfield.

# Allegro con brio ( G major ) – The first movement is a powerful and glowing exposition characterized by liberal use of timpani.

* Catalogo del Museo Civico Gaetano Filangieri principe di Satriano ; a cura di B. Capasso, E. Cerillo ; con note di G. Filangieri, Napoli 1888

# Molto allegro con fuoco in G minor

# Andante con moto, in G minor and divided common ( 2 / 2 ) time

* La guerra e il mortale, a cura di L. Taddio, con un saggio di G. Brianese, Milano-Udine, Mimesis, 2010 ( con due CD audio ).

For loan to the Government of India under subsection ( G ) of Section 104 of the Act, the rupee equivalent of not more than $538 million for financing such projects to promote balanced economic development as may be mutually agreed.

With respect to Article 2,, paragraphs 1 ( B ) and 1 ( C ): Uses of Section 104 ( E ) and Section 104 ( G ) rupees: The Government of India will use the amount of rupees granted or loaned to it by the United States pursuant to paragraphs 1 ( B ) and 1 ( C ) for projects to promote economic development with emphasis upon the agricultural sector including food reserve storage structures and facilities as may from time to time be agreed upon by the authorized representatives of the United States and the authorized representatives of the Government of India, in the following sectors: A.

Additionally, consider for instance the unit circle S, and the action on S by a group G consisting of all rational rotations.

The tones in between are then given by 16: 9 for D, 8: 5 for E, 3: 2 for F, 4: 3 for G, 6: 5 for A, and 16: 15 for B, in ascending order.

( See G. F. Hill, The Development of Arabic Numerals in Europe for more examples.

The manuscript, which is being edited for publication by G. Maltsiniotis, later led to another of his monumental works, Les Dérivateurs.

In this case, the 0. 5 value for the G channel actually indicates 100 % green intensity ( with 50 % opacity ).

The AVL tree is named after its two Soviet inventors, G. M. Adelson-Velskii and E. M. Landis, who published it in their 1962 paper " An algorithm for the organization of information.

The standard tuning for an acoustic guitar is E-A-D-G-B-E ( low to high ), although many players, particularly fingerpickers, use alternate tunings ( scordatura ), such as " open G " ( D-G-D-G-B-D ), " open D " ( D-A-D-F-A-D ), or " drop D " ( D-A-D-G-B-E ).

* awb-AMR-WB audio, used primarily for speech, same as the ITU-T's G. 722. 2 specification.

If F is an antiderivative of f, and the function f is defined on some interval, then every other antiderivative G of f differs from F by a constant: there exists a number C such that G ( x ) = F ( x ) + C for all x.

Its title is a literal English translation of the German name for Mozart's Serenade No. 13 for strings in G major, Eine kleine Nachtmusik.

There is a Mozart reference in the title — A Little Night Music is an occasionally used translation of Eine kleine Nachtmusik, the nickname of Mozart's Serenade No. 13 for strings in G major, K. 525.

The latter notation corresponds to viewing R as the characteristic function on " X " x " Y " for the set of pairs of G.