Generalizations of the derivativeIn mathematics, the derivative is a fundamental construction of differential calculus and admits many possible generalizations within the fields of mathematical analysis, combinatorics, algebra, geometry, etc. The Fréchet derivative defines the derivative for general normed vector spaces . Briefly, a function , an open subset of , is called Fréchet differentiable at if there exists a bounded linear operator such that Functions are defined as being differentiable in some open neighbourhood of , rather than at individual points, as not doing so tends to lead to many pathological counterexamples.
High-frequency tradingHigh-frequency trading (HFT) is a type of algorithmic trading in finance characterized by high speeds, high turnover rates, and high order-to-trade ratios that leverages high-frequency financial data and electronic trading tools. While there is no single definition of HFT, among its key attributes are highly sophisticated algorithms, co-location, and very short-term investment horizons in trading securities. HFT uses proprietary trading strategies carried out by computers to move in and out of positions in seconds or fractions of a second.
Law of one priceThe law of one price (LOOP) states that in the absence of trade frictions (such as transport costs and tariffs), and under conditions of free competition and price flexibility (where no individual sellers or buyers have power to manipulate prices and prices can freely adjust), identical goods sold in different locations must sell for the same price when prices are expressed in a common currency. This law is derived from the assumption of the inevitable elimination of all arbitrage.
The Co-operative GroupThe Co-operative Group Limited, trading as Co-op, is a British consumer co-operative with a group of retail businesses including grocery retail and wholesale, legal services, funerals and insurance retailing. The Co-operative Group has over 65,000 employees across the UK. The group has its headquarters in One Angel Square in Manchester.
British co-operative movementThe United Kingdom is home to a widespread and diverse co-operative movement, with over 7,000 registered co-operatives owned by 17 million individual members and which contribute £34bn a year to the British economy. Modern co-operation started with the Rochdale Pioneers' shop in the northern English town of Rochdale in 1844, though the history of co-operation in Britain can be traced back to before 1800.
