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Page "Divergent series" ¶ 8
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operator and giving
Oftel was accused by its critics of having been " captured " by BT, and of giving the dominant operator too much freedom to leverage its monopoly status in fixed line telephony into other markets such as ADSL.
Near the bottom of a potential well, the Hamiltonian of a system ( the quantum-mechanical operator giving its energy ) can be approximated as
Bridgeport after Barnum, and endowed the circus operator bear with a Barnum-like outsized personality and word balloons with lettering that resembled 19th century circus posters giving graphic depiction of the sort of colorful language Barnum was prone to use.
Some models have the operator's head exposed ; this has the advantage of giving the operator unobstructed vision, hearing, and some cooling, with the disadvantage of being more exposed to weather and less aerodynamic.
Draper also claimed that he and a friend once placed a direct call to the White House during the Nixon administration, and after giving the operator President Nixon's secret code name of " Olympus ", and asking to speak to the president about a national emergency, they were connected with someone who sounded like Richard Nixon ; Draper's friend told the man about a toilet paper shortage in Los Angeles, at which point the person on the other end of the line angrily asked them how they'd managed to get connected to him.
Whale watching operator giving a talk about whales and their conservation
In a Canadian Press article, commissioner Adrian Burns noted concerns with giving one operator control of multiple music channels ; Znaimer, meanwhile, claimed that there was no room for more than one operator of music channels in Canada.
The first example was delivered on 28 February 2005, thereby giving China Southern the title of the first mainland Chinese A330 operator.
VASP was allowed to operate charter services until April 2005, giving it a chance to prove its financial stability in order to retain its air operator certificate.
In simple terms, the operator calculates the gradient of the image intensity at each point, giving the direction of the largest possible increase from light to dark and the rate of change in that direction.
It issued notice to its subscribers, giving them 30 days to change operator.
In a dramatic arts production, the television director's role can be similar to that of a film director, giving cues to actors and directing the video tape operator when to start and stop the video tape recorder ( VTR ).
This vertex operator algebra contains the E < sub > 8 </ sub > Lie algebra over F < sub > 3 </ sub >, giving the embedding of Th into E < sub > 8 </ sub >( 3 ).
These saws are often fitted with a built-in air blower to cool the blade and to blow chips away from the cut area giving the operator a clear view of the work.
The operator or " attendant " had a large and complex attendant console, replacing the old, larger and even more complex switchboard and giving additional control of a connection.
Depending on the model of machine, the mold disk could have 4 ( standard ), 6, or 2 molds, giving the operator his choice of line lengths and body sizes.
Some models are fitted with a panel at both locations or with a remote control, giving operator a choice of position.
Vann Kennedy, original owner and operator of KZTV and KVTV in Laredo, also has the distinction of giving legendary broadcaster Walter Cronkite his first job in journalism.
The Indians also had model 1860 Henry repeating rifles that held 15 rounds of. 44 rimfire cartridges, giving the operator 14 more shots than the soldiers without the need to reload.
A large number of two-person operated open-platform Routemaster buses were purchased from London Transport for these services, which gave the company the advantage of giving change ( as opposed to the exact fare the city operator demanded ) without the buses having to linger at bus stops.
Many of the smaller independent operators that competed heavily with Kelvin Central were successfully purchased, paving the way for Kelvin Central to become the dominant operator once again in much of Lanarkshire but also giving it a rather mixed and sometimes rather elderly fleet.
Two pairs of tracks ( one pair for each operator ) run through the station giving it a narrow Y-shaped arrangement with a shared central island platform and two separate platforms across the tracks for opposite directions.
Perl also has a operator that does not create automatic variables, instead giving global ( package ) variables a temporary value, which is dynamically scoped to the enclosing block.

operator and sum
We are trying to study a linear operator T on the finite-dimensional space V, by decomposing T into a direct sum of operators which are in some sense elementary.
Then every linear operator T in V can be written as the sum of a diagonalizable operator D and a nilpotent operator N which commute.
whose sum is still the identity operator as before ( the resolution of identity ).
The inverse operator of the forward difference operator, so then the umbral integral, is the indefinite sum or antidifference operator.
* Prefix sum is an operation on lists that is also known as the scan operator
The operator of the magnetic moment of an electron is a sum of the contributions of the orbital angular momentum and the spin angular momentum, with each multiplied by the appropriate gyromagnetic ratio:
In the case is the sum of an Hermitian H and a skew-Hermitian ( see skew-Hermitian matrix ) operator, one defines the biorthogonal basis set
The Jordan Chevalley decomposition expresses an operator as the sum of its semisimple ( i. e., diagonalizable ) part and its nilpotent part.
We also define the total number operator for the field which is a sum of number operators of each mode:
This degenerate Campbell Baker Hausdorff formula then displays the product of two displacement operators as another displacement operator ( up to a phase factor ), with the resultant displacement equal to the sum of the two displacements,
In the modern interpretation, the field operator for a Dirac spinor is a sum of creation operators and annihilation operators, in a schematic notation:
Note that π ( x ) is a bounded linear operator since it is the direct sum of a family of operators, each one having norm ≤ || x ||.
Take X to be a complex manifold with a complex vector bundle V. We let the vector bundles E and F be the sums of the bundles of differential forms with coefficients in V of type ( 0, i ) with i even or odd, and we let the differential operator D be the sum
Conversely the index theorem for an elliptic complex can easily be reduced to the case of an elliptic operator: the two vector bundles are given by the sums of the even or odd terms of the complex, and the elliptic operator is the sum of the operators of the elliptic complex and their adjoints, restricted to the sum of the even bundles.
These are characterized by the assertion that the covariant derivative, which is the sum of the exterior derivative operator d and the connection A, transforms in the adjoint representation of the gauge group G. The square of the covariant derivative with itself can be interpreted as a g-valued 2-form F called the curvature form or field strength.
a maximal function ), Stein complementary series representations, Nikishin Pisier Stein factorization in operator theory, the Tomas Stein restriction theorem in Fourier analysis, the Kunze Stein phenomenon in convolution on semisimple groups, the Cotlar Stein lemma concerning the sum of almost orthogonal operators, and the Fefferman Stein theory of the Hardy space and the space of functions of bounded mean oscillation.
The Fock operator is an effective one-electron Hamiltonian operator being the sum of two terms.

operator and convergent
A bounded linear operator T: X → Y is called completely continuous if, for every weakly convergent sequence from X, the sequence is norm-convergent in Y.
In quantum field theory, the operator product expansion ( OPE ) is a convergent expansion of the product of two fields at different points as a sum ( possibly infinite ) of local fields.

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