PhasorIn physics and engineering, a phasor (a portmanteau of phase vector) is a complex number representing a sinusoidal function whose amplitude (A), angular frequency (ω), and initial phase (θ) are time-invariant. It is related to a more general concept called analytic representation, which decomposes a sinusoid into the product of a complex constant and a factor depending on time and frequency. The complex constant, which depends on amplitude and phase, is known as a phasor, or complex amplitude, and (in older texts) sinor or even complexor.
OscillationOscillation is the repetitive or periodic variation, typically in time, of some measure about a central value (often a point of equilibrium) or between two or more different states. Familiar examples of oscillation include a swinging pendulum and alternating current. Oscillations can be used in physics to approximate complex interactions, such as those between atoms.
ExponentiationIn mathematics, exponentiation is an operation involving two numbers, the base and the exponent or power. Exponentiation is written as bn, where b is the base and n is the power; this is pronounced as "b (raised) to the (power of) n". When n is a positive integer, exponentiation corresponds to repeated multiplication of the base: that is, bn is the product of multiplying n bases: The exponent is usually shown as a superscript to the right of the base.
Intermediate consumptionIntermediate consumption (also called "intermediate expenditure") is an economic concept used in national accounts, such as the United Nations System of National Accounts (UNSNA), the US National Income and Product Accounts (NIPA) and the European System of Accounts (ESA). Conceptually, the aggregate "intermediate consumption" is equal to the amount of the difference between gross output (roughly, the total sales value) and net output (gross value added or GDP). In the US economy, total intermediate consumption represents about 45% of gross output.
Approximations of πApproximations for the mathematical constant pi (pi) in the history of mathematics reached an accuracy within 0.04% of the true value before the beginning of the Common Era. In Chinese mathematics, this was improved to approximations correct to what corresponds to about seven decimal digits by the 5th century. Further progress was not made until the 15th century (through the efforts of Jamshīd al-Kāshī).
Plus and minus signsThe plus sign and the minus sign are mathematical symbols used to represent the notions of positive and negative, respectively. In addition, represents the operation of addition, which results in a sum, while represents subtraction, resulting in a difference. Their use has been extended to many other meanings, more or less analogous. Plus and minus are Latin terms meaning "more" and "less", respectively. Though the signs now seem as familiar as the alphabet or the Hindu-Arabic numerals, they are not of great antiquity.
Negative frequencyIn mathematics, signed frequency (negative and positive frequency) expands upon the concept of frequency, from just an absolute value representing how often some repeating event occurs, to also have a positive or negative sign representing one of two opposing orientations for occurrences of those events. The following examples help illustrate the concept: For a rotating object, the absolute value of its frequency of rotation indicates how many rotations the object completes per unit of time, while the sign could indicate whether it is rotating clockwise or counterclockwise.
Arnold tongueIn mathematics, particularly in dynamical systems, Arnold tongues (named after Vladimir Arnold) are a pictorial phenomenon that occur when visualizing how the rotation number of a dynamical system, or other related invariant property thereof, changes according to two or more of its parameters. The regions of constant rotation number have been observed, for some dynamical systems, to form geometric shapes that resemble tongues, in which case they are called Arnold tongues.
Value addedValue added is a term in financial economics for calculating the difference between market value of a product or service, and the sum value of its constituents. It is relatively expressed to the supply-demand curve for specific units of sale. It represents a market equilibrium view of production economics and financial analysis. Value added is distinguished from the accounting term added value which measures only the financial profits earned upon transformational processes for specific items of sale that are available on the market.
Hyphen-minusThe hyphen-minus is the most commonly used type of hyphen, widely used in digital documents. In ASCII or on most keyboards it is the only character that resembles a minus sign or a dash so it is also used for these. The name "hyphen-minus" derives from the original ASCII standard, where it was called "hyphen (minus)". The character is referred to as a "hyphen", a "minus sign", or a "dash" according to the context where it is being used.
