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A Riemann

**sum**of a function f with respect to such a tagged partition is defined as ∑ i = 1 n f ( t i ) Δ i ; {\displaystyle \**sum**_{i=1}^{n}f(t_{i})\,\Delta _{i};} thus each term of the**sum**is the area of a rectangle with height equal to the function value at the distinguished point of the given sub-interval, and width the same as the width ...The

**exponential function**is a mathematical function denoted by () = or (where the argument x is written as an exponent).Unless otherwise specified, the term generally refers to the positive-valued function of a real variable, although it can be extended to the complex numbers or generalized to other mathematical objects like matrices or Lie algebras.The classical rocket equation, or ideal rocket equation is a mathematical equation that describes the motion of vehicles that follow the basic principle of a rocket: a device that can apply acceleration to itself using thrust by expelling part of its mass with high velocity can thereby move due to the conservation of momentum.

**Life insurance**(or life assurance, especially in the Commonwealth of Nations) is a contract between an insurance policy holder and an insurer or assurer, where the insurer promises to pay a designated beneficiary a**sum**of money upon the death of an insured person (often the policyholder).**Sum**complement. A variant of the previous algorithm is to add all the "words" as unsigned binary numbers, discarding any overflow bits, and append the two's complement of the total as the**checksum**. To validate a message, the receiver adds all the words in the same manner, including the**checksum**; if the result is not a word full of zeros, an ...Because Dan Bricklin and Bob Frankston implemented VisiCalc on the Apple II in 1979 and the IBM PC in 1981, the

**spreadsheet**concept became widely known in the early 1980s. . VisiCalc was the first**spreadsheet**that combined all essential features of modern**spreadsheet**applications (except for forward referencing/natural order recalculation), such as WYSIWYG interactive user interface, automatic ...In mathematics,

**sine and cosine**are trigonometric functions of an angle.The**sine and cosine**of an acute angle are defined in the context of a right triangle: for the specified angle, its sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse), and the cosine is the ratio of the length of the adjacent leg to that ...The

**mortgage industry of the United States**is a major financial sector. The federal government created several programs, or government sponsored entities, to foster mortgage lending, construction and encourage home ownership.