where n < sup > c </ sup > denotes the charge conjugate state, i. e., the antiparticle.

where we use the symbol k to denote the quantum numbers p and σ of the previous section and the sign of the energy, E ( k ), and a < sub > k </ sub > denotes the corresponding annihilation operators.

where r is the position vector of the particle relative to the origin, p is the linear momentum of the particle, and × denotes the cross product.

respectively, where e < sub > x </ sub >, e < sub > y </ sub >, e < sub > z </ sub > denotes the cartesian basis vectors ( all are orthogonal unit vectors ) and A < sub > x </ sub >, A < sub > y </ sub >, A < sub > z </ sub > are the corresponding coordinates, in the x, y, z directions.

where denotes the complex conjugate of.

denotes the rank-one operator that maps the ket to the ket ( where is a scalar multiplying the vector ).

Just as kets and bras can be transformed into each other ( making into ) the element from the dual space corresponding with is where A < sup >†</ sup > denotes the Hermitian conjugate ( or adjoint ) of the operator A.

where Z denotes J, Y, H < sup >( 1 )</ sup >, or H < sup >( 2 )</ sup >.

where C < sub > α </ sub > denotes I < sub > α </ sub > or e < sup > απi </ sup > K < sub > α </ sub >.

where ε denotes the Levi-Civita symbol, the metric tensor is used to lower the index on F, and the Einstein summation convention implies that repeated indices are summed over.

where denotes the length of a string p.

where J denotes the Jacobian matrix of partial derivatives of ƒ and is the induced norm on the matrix.

for every automorphism φ of G ( where φ ( H ) denotes the image of H under φ ).

where denotes the vector cross product and square brackets denote evaluation in the rotating frame of reference.

This functional relationship is often denoted y = f ( x ), where f denotes the function.

The common notation for the divergence ∇· F is a convenient mnemonic, where the dot denotes an operation reminiscent of the dot product: take the components of ∇ ( see del ), apply them to the components of F, and sum the results.

where the star denotes complex conjugation.

A *( B *( C * D )) where A, B, C, D are partially transparent image layers and "*" denotes a compositing operator ( with the left layer on top of the right layer ).

With this view it turns out that the extractor property is equivalent to: for any source of randomness that gives bits with min-entropy, the distribution is-close to, where denotes the uniform distribution on.

In mathematics and abstract algebra, a group is the algebraic structure, where is a non-empty set and denotes a binary operation called the group operation.

where denotes the largest integer that

where ζ denotes the Riemann zeta function ( see Lehmer ; one approach to prove the inequality is to obtain the Fourier series for the polynomials B < sub > n </ sub >).

where denotes the largest integer that is not greater than x.

where denotes Newton's gravitational constant,

Here, the twin assumptions of rationality and market efficiency lead to modern portfolio theory ( the CAPM ), and to the Black – Scholes theory for option valuation ; it further studies phenomena and models where these assumptions do not hold, or are extended.

In 1875 American illustrator Henry Chapman Ford began visiting each of the twenty-one mission sites, where he created a historically-important portfolio of watercolors, oils, and etchings.

There was particular concern over BCCI's loan portfolio because of its roots in areas where modern banking was still an alien concept.

Top of the Pops magazine has been running since February 1995, and filled the void in the BBC magazine portfolio where Number One magazine used to be.

After this event he held the portfolio of foreign affairs for a few days, and then became governor of the Invalides, where his last years were spent.

Copps ' position was that Valeri should have sought the nomination in Niagara West-Glanbrook, where he resided and in which there was a regional airport that would complement his transport portfolio.

He was subsequently elevated to Vice-Premier of the State Council in 1995 under Premier Li Peng, where he served in a portfolio dealing with industry and reforming state-owned enterprises, ranking third.

Following Fianna Fáil's success at the 1969 general election, Colley held onto his existing cabinet post and also took charge of the Gaeltacht portfolio, an area where he had a personal interest.

The product has many variations, including where there is a basket or portfolio of reference entities, although fundamentally, the principles remain the same.

There are a number of places where a prospective investor can buy stamps: A British 1 shilling embossed stamp, typical of the type included in an investment portfolio.

His portfolio was expanded in 2000, and he became the first Minister for Young People, where his priority was to listen to and be a voice for Britain's youth.

In 1953, Governor General Vincent Massey, on the advice of Prime Minister Louis St. Laurent, appointed Macdonald to the Canadian Senate, where he became Leader of the Government in the Canadian Senate and a minister without portfolio in the Canadian Cabinet.

The electronic portfolio on the other hand is a more formal setting where students must apply both their knowledge of how the web works and the message that they want to convey.

In some countries where the executive branch is not composed of a coalition of parties and, more often, in countries with purely presidential systems of government, such as the United States, the position ( or an equivalent position ) of minister without portfolio is uncommon.

The EU authorities have also focussed lately on the effect of conglomerate mergers, where companies acquire a large portfolio of related products, though without necessarily dominant shares in any individual market.

She joined the Gillard ministry in a reshuffle in March 2012, where she received the Minister for Sport portfolio following the retirement of Senator Mark Arbib, and was also made Minister for Multicultural Affairs.

At this time, CSL was given elevated status, where in the words of Power Corporation "... in order to increase its Corporation's own cash flow and take advantage of new federal tax regulations benefiting operating companies over holding companies, CSL took over most of Power's investment portfolio at book value.

He sailed for the Crimea on February 19, 1856 where he spent six weeks compiling a portfolio of sketches, as well as visiting the battlefield of Inkerman.

: where is the return on the portfolio, is the return on asset i and is the weighting of component asset ( that is, the share of asset i in the portfolio ).

She lived with her mother in Toronto for several years, where she started formulating a photo portfolio and laying plans for a career.

It is based in Poole, Dorset from where it manages a portfolio of brands and over 50 attractions including the Madame Tussauds waxworks, Legoland Parks, Sealife Centres, Gardaland in Italy, The Dungeons and the London Eye, Alton Towers, Thorpe Park, and Chessington World of Adventures.

where r < sub > a </ sub > measures the rate of return of the asset, r < sub > p </ sub > measures the rate of return of the portfolio, and cov ( r < sub > a </ sub >, r < sub > p </ sub >) is the covariance between the rates of return.

Prem Watsa's professional career began in 1974 when he joined Confederation Life Insurance Co. in Toronto, where he quickly moved from his position as an investment and research analyst to one of a stock portfolio manager for pension clients.