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A field is an algebraic structure in which multiplication, addition, subtraction, and division are defined and satisfy the properties that multiplication is associative and every nonzero element has a multiplicative inverse. This implies that exponentiation with integer exponents is well-defined, except for nonpositive powers of 0.
Some variants are commonly referred to as square-and-multiply algorithms or binary exponentiation. These can be of quite general use, for example in modular arithmetic or powering of matrices. For semigroups for which additive notation is commonly used, like elliptic curves used in cryptography , this method is also referred to as double-and-add .
In elementary algebra, FOIL is a mnemonic for the standard method of multiplying two binomials [1] —hence the method may be referred to as the FOIL method. The word FOIL is an acronym for the four terms of the product: First ("first" terms of each binomial are multiplied together)
One curve represents the real component () of the formula, while another curve, rotated 90 degrees around the z-axis (due to multiplication by ), represents the imaginary component (). Around 1740 Leonhard Euler turned his attention to the exponential function and derived the equation named after him by comparing the series expansions of ...
President-elect Donald Trump is now considering tapping Richard Grenell, his former intelligence chief, to be a special envoy for Iran, according to two people familiar with the transition plans.
The incoming Trump administration is preparing a list of countries to which it may deport migrants when their home countries refuse to accept them, according to three sources familiar with the plans.
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