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  2. Exponentiation - Wikipedia

    en.wikipedia.org/wiki/Exponentiation

    The binary number system expresses any number as a sum of powers of 2, and denotes it as a sequence of 0 and 1, separated by a binary point, where 1 indicates a power of 2 that appears in the sum; the exponent is determined by the place of this 1: the nonnegative exponents are the rank of the 1 on the left of the point (starting from 0), and ...

  3. Power rule - Wikipedia

    en.wikipedia.org/wiki/Power_rule

    Solving for , = = = = = Thus, the power rule applies for rational exponents of the form /, where is a nonzero natural number. This can be generalized to rational exponents of the form p / q {\displaystyle p/q} by applying the power rule for integer exponents using the chain rule, as shown in the next step.

  4. Exponentiation by squaring - Wikipedia

    en.wikipedia.org/wiki/Exponentiation_by_squaring

    Namely, an attacker observing the sequence of squarings and multiplications can (partially) recover the exponent involved in the computation. This is a problem if the exponent should remain secret, as with many public-key cryptosystems. A technique called "Montgomery's ladder" [2] addresses this concern.

  5. List of logarithmic identities - Wikipedia

    en.wikipedia.org/wiki/List_of_logarithmic_identities

    These are the three main logarithm laws/rules/principles, [3] from which the other properties listed above can be proven. Each of these logarithm properties correspond to their respective exponent law, and their derivations/proofs will hinge on those facts. There are multiple ways to derive/prove each logarithm law – this is just one possible ...

  6. Order of operations - Wikipedia

    en.wikipedia.org/wiki/Order_of_operations

    The Order of Operations emerged progressively over centuries. The rule that multiplication has precedence over addition was incorporated into the development of algebraic notation in the 1600s, since the distributive property implies this as a natural hierarchy. As recently as the 1920s, the historian of mathematics, Florian Cajori, identifies ...

  7. Slide rule scale - Wikipedia

    en.wikipedia.org/wiki/Slide_rule_scale

    A slide rule scale is a line with graduated markings inscribed along the length of a slide rule used for mathematical calculations. The earliest such device had a single logarithmic scale for performing multiplication and division, but soon an improved technique was developed which involved two such scales sliding alongside each other.

  8. Power law - Wikipedia

    en.wikipedia.org/wiki/Power_law

    The equivalence of power laws with a particular scaling exponent can have a deeper origin in the dynamical processes that generate the power-law relation. In physics, for example, phase transitions in thermodynamic systems are associated with the emergence of power-law distributions of certain quantities, whose exponents are referred to as the ...

  9. Could changes be coming to Medicare, Medicaid with Dr. Oz ...

    www.aol.com/could-changes-coming-medicare...

    With President-elect Donald Trump's recent announcement of former surgeon-turned-TV host Dr. Mehmet Oz to lead the Centers for Medicare and Medicaid Services (CMS), questions are swirling about ...

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