Duality (mathematics)In mathematics, a duality translates concepts, theorems or mathematical structures into other concepts, theorems or structures, in a one-to-one fashion, often (but not always) by means of an involution operation: if the dual of A is B, then the dual of B is A. Such involutions sometimes have fixed points, so that the dual of A is A itself. For example, Desargues' theorem is self-dual in this sense under the standard duality in projective geometry. In mathematical contexts, duality has numerous meanings.
Verdier dualityIn mathematics, Verdier duality is a cohomological duality in algebraic topology that generalizes Poincaré duality for manifolds. Verdier duality was introduced in 1965 by as an analog for locally compact topological spaces of Alexander Grothendieck's theory of Poincaré duality in étale cohomology for schemes in algebraic geometry. It is thus (together with the said étale theory and for example Grothendieck's coherent duality) one instance of Grothendieck's six operations formalism.
Business planA business plan is a formal written document containing the goals of a business, the methods for attaining those goals, and the time-frame for the achievement of the goals. It also describes the nature of the business, background information on the organization, the organization's financial projections, and the strategies it intends to implement to achieve the stated targets. In its entirety, this document serves as a road-map (a plan) that provides direction to the business.
Coherent dualityIn mathematics, coherent duality is any of a number of generalisations of Serre duality, applying to coherent sheaves, in algebraic geometry and complex manifold theory, as well as some aspects of commutative algebra that are part of the 'local' theory. The historical roots of the theory lie in the idea of the adjoint linear system of a linear system of divisors in classical algebraic geometry. This was re-expressed, with the advent of sheaf theory, in a way that made an analogy with Poincaré duality more apparent.
Business schoolA business school is a university-level institution or professional school that confers degrees in business administration or management. A business school may also be referred to as school of management, management school, school of business administration, or colloquially b-school or biz school.
Dual quaternionIn mathematics, the dual quaternions are an 8-dimensional real algebra isomorphic to the tensor product of the quaternions and the dual numbers. Thus, they may be constructed in the same way as the quaternions, except using dual numbers instead of real numbers as coefficients. A dual quaternion can be represented in the form A + εB, where A and B are ordinary quaternions and ε is the dual unit, which satisfies ε2 = 0 and commutes with every element of the algebra. Unlike quaternions, the dual quaternions do not form a division algebra.
Quality investingQuality investing is an investment strategy based on a set of clearly defined fundamental criteria that seeks to identify companies with outstanding quality characteristics. The quality assessment is made based on soft (e.g. management credibility) and hard criteria (e.g. balance sheet stability). Quality investing supports best overall rather than best-in-class approach. The idea for quality investing originated in the bond and real estate investing, where both the quality and price of potential investments are determined by ratings and expert attestations.
InvestorAn investor is a person who allocates financial capital with the expectation of a future return (profit) or to gain an advantage (interest). Through this allocated capital most of the time the investor purchases some species of property. Types of investments include equity, debt, securities, real estate, infrastructure, currency, commodity, token, derivatives such as put and call options, futures, forwards, etc. This definition makes no distinction between the investors in the primary and secondary markets.
Structured productA structured product, also known as a market-linked investment, is a pre-packaged structured finance investment strategy based on a single security, a basket of securities, options, indices, commodities, debt issuance or foreign currencies, and to a lesser extent, derivatives. Structured products are not homogeneous — there are numerous varieties of derivatives and underlying assets — but they can be classified under the aside categories. Typically, a desk will employ a specialized "structurer" to design and manage its structured-product offering.
Organizational conflictOrganizational conflict, or workplace conflict, is a state of discord caused by the actual or perceived opposition of needs, values and interests between people working together. Conflict takes many forms in organizations. There is the inevitable clash between formal authority and power and those individuals and groups affected. There are disputes over how revenues should be divided, how the work should be done, and how long and hard people should work. There are jurisdictional disagreements among individuals, departments, and between unions and management.
