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S and r
One of the subsidiary of Roma ( joint venture with SS Lazio, 37. 5 % x2 and Parma, 25 %), Società Diritti Sportivi S. r. l.
Angular momenta of a classical object .< p > Left: intrinsic " spin " angular momentum S is really orbital angular momentum of the object at every point ,</ p >< p > right: extrinsic orbital angular momentum L about an axis ,</ p >< p > top: the moment of inertia tensor | moment of inertia tensor I and angular velocity ω ( L is not always parallel to ω )</ p >< p > bottom: momentum p and it's radial position r from the axis .</ p > The total angular momentum ( spin + orbital ) is J.
If the relative priorities of these substituents need to be established, R takes priority over S. When this happens, the descriptor of the stereocenter is a lowercase letter ( r or s ) instead of the uppercase letter normally used.
* 1965 – Iginio Straffi, Italian businessman, founder of Rainbow S. r. l.
More rigorously, if a surface S is a union of finitely many pieces S < sub > 1 </ sub >, …, S < sub > r </ sub > which do not overlap except at their boundaries then
For any natural number n, an " n-sphere ," often written as S < sup > n </ sup >, is the set of points in ()- dimensional Euclidean space which are at a fixed distance r from a central point of that space, where r is, as before, a positive real number.
Fully expressed, for X a metric space with metric d, x is a point of closure of S if for every r > 0, there is a y in S such that the distance d ( x, y ) < r. ( Again, we may have x
A subset S of a metric space ( M, d ) is bounded if it is contained in a ball of finite radius, i. e. if there exists x in M and r > 0 such that for all s in S, we have d ( x, s ) < r. M is a bounded metric space ( or d is a bounded metric ) if M is bounded as a subset of itself.
The proof follows by the fact that if f were indeed a map onto P ( S )), then we could find r in S, such that f (
Fully expressed, if X is a metric space with metric d, then x is an interior point of S if there exists r > 0, such that y is in S whenever the distance d ( x, y ) < r.
If S is a commutative associative algebra over R, if I is an ideal of S such that the I-adic topology on S is complete, and if x < sub > 1 </ sub >, ..., x < sub > r </ sub > are elements of I, then there is a unique Φ: R < nowiki ></ nowiki > X < sub > 1 </ sub >, ..., X < sub > n </ sub >< nowiki ></ nowiki > → S with the following properties:

S and f
Using the above theorem it is easy to see that the original Borsuk Ulam statement is correct since if we take a map f: S < sup > n </ sup > → ℝ < sup > n </ sup > that does not equalize on any antipodes then we can construct a map g: S < sup > n </ sup > → S < sup > n-1 </ sup > by the formula
A set S is called countable if there exists an injective function f from S to the natural numbers Since there is an obvious bijection between and it makes no difference whether one considers 0 to be a natural number of not.
If f is also surjective and therefore bijective ( since f is already defined to be injective ), then S is called countably infinite.
Its similarities to the original transform, S ( f ), and its relative computational ease are often the motivation for computing a DFT.
Given a trigonometric series f ( x ) with S as its set of zeros, Cantor had discovered a procedure that produced another trigonometric series that had S ' as its set of zeros, where S ' is the set of limit points of S. If p ( 1 ) is the set of limit points of S, then he could construct a trigonometric series whose zeros are p ( 1 ).
* If f is an irreducible polynomial of prime degree p with rational coefficients and exactly two non-real roots, then the Galois group of f is the full symmetric group S < sub > p </ sub >.
A unary operation f, that is, a map from some set S into itself, is called idempotent if, for all x in S,
A unary operation is idempotent if it maps each element of S to a fixed point of f. For a set with n elements there are
Thus, the statement that f is an idempotent unary operation on S is equivalent to the statement that f is an idempotent element with respect to the function composition operation ∘ on functions from S to S.
: if S is any ring and f < sub > i </ sub >: S → R < sub > i </ sub > is a ring homomorphism for every i in I, then there exists precisely one ring homomorphism f: S → R such that p < sub > i </ sub > o f = f < sub > i </ sub > for every i in I.

S and =
* If S and T are in M with ST then TS is in M and a ( TS ) =
In the < tt > SubBytes </ tt > step, each byte in the state is replaced with its entry in a fixed 8-bit lookup table, S ; b < sub > ij </ sub > = S ( a < sub > ij </ sub >).
At temperatures near 0 K, nearly all molecular motion ceases and, when entropy = S, ΔS = 0 for any adiabatic process.
The Nernst postulate identifies the isotherm T = 0 as coincident with the adiabat S = 0, although other isotherms and adiabats are distinct.
In an adiabatic irreversible process, dQ = 0 is not equal to TdS ( TdS > 0 ) where Q is thermal energy, T is temperature, and S is entropy.
The U. S. survey acre is about 4, 046. 872 609 874 252 square metres ; its exact value ( m < sup > 2 </ sup >) is based on an inch defined by 1 metre = 39. 37 inches exactly, as established by the Mendenhall Order.
( For one particle, J = L + S.
| PLACE OF BIRTH = Newark, New Jersey, U. S.
The concept of being relatively prime can also be extended to any finite set of integers S =
outer ring: I = Interphase, M = Mitosis ; inner ring: M = Mitosis, G < sub > 1 </ sub > = G1 phase | Gap 1, G < sub > 2 </ sub > = G2 phase | Gap 2, S = S phase | Synthesis ; not in ring: G < sub > 0 </ sub > = G0 phase | Gap 0 / Resting.

S and o
< center > A ( a ), B ( be ), C ( ce ), D ( de ), E ( e ), F ( ef ), G ( ge ), H ( ha ), I ( i ), J ( jot ), K ( ka ), L ( el ), M ( em ), N ( en ), O ( o ), P ( pe ), Q ( qu ), R ( er ), S ( es ), T ( te ), U ( u ), V ( ve ), W ( duplic ve ), X ( ix ), Y ( ypsilon ), Z ( zet )</ center >
U. S .$ 1. 65 billion f. o. b. ( 2007 est.
U. S .$ 3. 650 billion f. o. b. ( 2010 est.
Aromatic C, O, S and N atoms are shown in their lower case ' c ', ' o ','s ' and ' n ' respectively.
*** S. o. oxyrhynchus
*** S. o. salonitana
*** S. o. krkensis
*** S. o. zetensis
*** S. o. rynolanis
*** S. o. cordonia
*** S. o. alexiumsis
New Circle Road ( KY 4 ) acts as an inner-beltway around the city, Man o ' War Boulevard is a semi outer-beltway south of New Circle Road, and numerous U. S. routes and arterial highways radiate out from downtown to provide access to the numerous bedroom communities ringing the metropolitan area.
The interior of a set S is the set of all interior points of S. The interior of S is denoted int ( S ), Int ( S ), or S < sup > o </ sup >.
He is considered to be one of the greatest Thoroughbreds of all time, ranking second behind Man o ' War in The Blood-Horse's List of the Top 100 U. S. Racehorses of the 20th Century.
As of late 2006, however, majority ownership ( 80. 51 %) lies in the hands of Tatra Holdings s. r. o., an international consortium comprising Vectra Limited of UK, Sam Eyde of the U. S., KBC Private Equity of Belgium, Meadowhill s. r. o.
: Lucubo Arquienob ( o ) C ( aius ) Iulius Hispanus V ( otum ) L ( ibens ) S ( olvit ) M ( erito )

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