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Maxims of equity are legal maxims that serve as a set of general principles or rules which are said to govern the way in which equity operates. They tend to illustrate the qualities of equity, in contrast to the common law, as a more flexible, responsive approach to the needs of the individual, inclined to take into account the parties' conduct and worthiness.
The original proof is based on the Taylor series expansions of the exponential function e z (where z is a complex number) and of sin x and cos x for real numbers x . In fact, the same proof shows that Euler's formula is even valid for all complex numbers x .
Ptolemy's theorem states that the sum of the products of the lengths of opposite sides is equal to the product of the lengths of the diagonals. When those side-lengths are expressed in terms of the sin and cos values shown in the figure above, this yields the angle sum trigonometric identity for sine: sin(α + β) = sin α cos β + cos α sin β.
The Dottie number is the unique real fixed point of the cosine function. In mathematics, the Dottie number or the cosine constant is a constant that is the unique real root of the equation =, where the argument of is in radians. The decimal expansion of the Dottie number is given by:
The return on equity (ROE) is a measure of the profitability of a business in relation to its equity; [1] where: . ROE = Net Income / Average Shareholders' Equity [1] Thus, ROE is equal to a fiscal year's net income (after preferred stock dividends, before common stock dividends), divided by total equity (excluding preferred shares), expressed as a percentage.
Equity accounts are used to recognize ownership equity. The terms equity [for profit enterprise] or net assets [not-for-profit enterprise] represent the residual interest in the assets of an entity that remains after deducting its liabilities (CF E61). Equity accounts include common stock, paid-in capital, and retained earnings. Equity accounts ...
The number e is a mathematical constant approximately equal to 2.71828 that is the base of the natural logarithm and exponential function.It is sometimes called Euler's number, after the Swiss mathematician Leonhard Euler, though this can invite confusion with Euler numbers, or with Euler's constant, a different constant typically denoted .
Economic equity is the construct, concept or idea of fairness in economics and justice in the distribution of wealth, resources, and taxation within a society. Equity is closely tied to taxation policies, welfare economics, and the discussions of public finance, influencing how resources are allocated among different segments of the population.