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  2. Equivalent annual cost - Wikipedia

    en.wikipedia.org/wiki/Equivalent_annual_cost

    Equivalent annual cost. In finance, the equivalent annual cost ( EAC) is the cost per year of owning and operating an asset over its entire lifespan. It is calculated by dividing the negative NPV of a project by the "present value of annuity factor": where r is the annual interest rate and. t is the number of years.

  3. Fibonacci sequence - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_sequence

    There is an equivalent statement about subsets. Yuri Matiyasevich was able to show that the Fibonacci numbers can be defined by a Diophantine equation, which led to his solving Hilbert's tenth problem. [68] The Fibonacci numbers are also an example of a complete sequence. This means that every positive integer can be written as a sum of ...

  4. Golden ratio - Wikipedia

    en.wikipedia.org/wiki/Golden_ratio

    The golden ratio's negative −φ and reciprocal φ−1 are the two roots of the quadratic polynomial x2 + x − 1. The golden ratio is also an algebraic number and even an algebraic integer. It has minimal polynomial. This quadratic polynomial has two roots, and. The golden ratio is also closely related to the polynomial.

  5. Mass–energy equivalence - Wikipedia

    en.wikipedia.org/wiki/Mass–energy_equivalence

    In the SI system (expressing the ratio ⁠E m⁠ in joules per kilogram using the value of c in metres per second ): [ 35] E m⁠ = c2 = (299 792 458 m/s)2 = 89 875 517 873 681 764 J/kg (≈ 9.0 × 10 16 joules per kilogram). So the energy equivalent of one kilogram of mass is. 89.9 petajoules.

  6. If and only if - Wikipedia

    en.wikipedia.org/wiki/If_and_only_if

    The corresponding logical symbols are "", "", [6] and , [10] and sometimes "iff".These are usually treated as equivalent. However, some texts of mathematical logic (particularly those on first-order logic, rather than propositional logic) make a distinction between these, in which the first, ↔, is used as a symbol in logic formulas, while ⇔ is used in reasoning about those logic formulas ...

  7. Pi - Wikipedia

    en.wikipedia.org/wiki/Pi

    t. e. The number π ( / paɪ /; spelled out as " pi ") is a mathematical constant that is the ratio of a circle 's circumference to its diameter, approximately equal to 3.14159. The number π appears in many formulae across mathematics and physics.

  8. Logarithm - Wikipedia

    en.wikipedia.org/wiki/Logarithm

    In mathematics, the logarithm is the inverse function to exponentiation. That means that the logarithm of a number x to the base b is the exponent to which b must be raised to produce x. For example, since 1000 = 103, the logarithm base of 1000 is 3, or log10 (1000) = 3.

  9. Java version history - Wikipedia

    en.wikipedia.org/wiki/Java_version_history

    Some programs allow the conversion of Java programs from one version of the Java platform to an older one (for example Java 5.0 backported to 1.4) (see Java backporting tools). Regarding Oracle Java SE Support Roadmap, [ 4 ] version 22 is the latest one, and versions 21, 17, 11 and 8 are the currently supported long-term support (LTS) versions ...