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.

: G < sub > con </ sub > for the connected component of the identity

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

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

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 ).

Duplication of centrioles starts at the time of the G < sub > 1 </ sub >/ S transition and ends before the onset of mitosis.

: G < sub > sol </ sub >/ G < sub > nil </ sub > is abelian.

: G < sub > nil </ sub >/ 1 is nilpotent, and therefore its ascending central series has all quotients abelian.

* It can induce growth arrest by holding the cell cycle at the G < sub > 1 </ sub >/ S regulation point on DNA damage recognition ( if it holds the cell here for long enough, the DNA repair proteins will have time to fix the damage and the cell will be allowed to continue the cell cycle ).

The product is a function of the temperature, as the probability of getting enough thermal energy to produce a pair increases with temperature, being approximately exp (− E < sub > G </ sub >/ kT ), where k is Boltzmann's constant, T is absolute temperature and E < sub > G </ sub > is band gap.

They are coupled to G < sub > i </ sub >/ G < sub > o </ sub > and decrease the cellular concentrations of cAMP by inhibition of adenylate cyclase.

* In the fields of electrical engineering and solid-state physics, the fine-structure constant is one fourth the product of the characteristic impedance of free space, Z < sub > 0 </ sub > = 1 /( c ε < sub > 0 </ sub >), and the conductance quantum, G < sub > 0 </ sub > = e < sup > 2 </ sup >/ h:

Furthermore, the conductivity can undergo a quantization in energy: i. e. the energy of the electrons going through a nanowire can assume only discrete values, which are multiples of the Von Klitzing constant G = 2e < sup > 2 </ sup >/ h ( where e is the charge of the electron and h is the Planck constant ).

Based on his results, one can calculate a value for G of 6. 754 × 10 < sup >− 11 </ sup > N-m < sup > 2 </ sup >/ kg < sup > 2 </ sup >, which compares favourably with the modern value of 6. 67428 × 10 < sup >− 11 </ sup > N-m < sup > 2 </ sup >/ kg < sup > 2 </ sup >.< ref >

< TD > 39 </ TD >< TD >'</ TD >< TD >/ G </ TD >< TD bgColor ="# FFFFFF "></ TD >

* c < sup > 2 </ sup >/ G

* c < sup > 3 </ sup >/ G

The summations after the coefficients 60 and 140 are the first two Eisenstein series, which are modular forms when considered as functions G < sub > 4 </ sub >( τ ) and G < sub > 6 </ sub >( τ ), respectively, of τ = ω < sub > 2 </ sub >/ ω < sub > 1 </ sub > with Im ( τ ) > 0.

In other words, there exists a faithfully flat map X → S such that any point in X has a quasi-compact open neighborhood U whose image is an open affine subscheme of S, such that base change to U yields a finite product of copies of GL < sub > 1, U </ sub > = G < sub > m </ sub >/ U. One particularly important case is when S is the spectrum of a field K, making a torus over S an algebraic group whose extension to some finite separable extension L is a finite product of copies of G < sub > m </ sub >/ L.

If a torus is isomorphic to a product of multiplicative groups G < sub > m </ sub >/ S, the torus is said to be split.