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  2. Kapustinskii equation - Wikipedia

    en.wikipedia.org/wiki/Kapustinskii_equation

    The calculated lattice energy gives a good estimation for the Born–Landé equation; the real value differs in most cases by less than 5%. Furthermore, one is able to determine the ionic radii (or more properly, the thermochemical radius) using the Kapustinskii equation when the lattice energy is known.

  3. Trapezoidal rule (differential equations) - Wikipedia

    en.wikipedia.org/wiki/Trapezoidal_rule...

    Suppose that we want to solve the differential equation ′ = (,). The trapezoidal rule is given by the formula + = + ((,) + (+, +)), where = + is the step size. [1]This is an implicit method: the value + appears on both sides of the equation, and to actually calculate it, we have to solve an equation which will usually be nonlinear.

  4. Trapezoidal rule - Wikipedia

    en.wikipedia.org/wiki/Trapezoidal_rule

    The trapezoidal rule is one of a family of formulas for numerical integration called Newton–Cotes formulas, of which the midpoint rule is similar to the trapezoid rule. ...

  5. Trapezoid - Wikipedia

    en.wikipedia.org/wiki/Trapezoid

    In geometry, a trapezoid (/ ˈ t r æ p ə z ɔɪ d /) in North American English, or trapezium (/ t r ə ˈ p iː z i ə m /) in British English, [1] [2] is a quadrilateral that has at least one pair of parallel sides.

  6. Boundary value problem - Wikipedia

    en.wikipedia.org/wiki/Boundary_value_problem

    Boundary value problems are similar to initial value problems.A boundary value problem has conditions specified at the extremes ("boundaries") of the independent variable in the equation whereas an initial value problem has all of the conditions specified at the same value of the independent variable (and that value is at the lower boundary of the domain, thus the term "initial" value).

  7. Greek letters used in mathematics, science, and engineering

    en.wikipedia.org/wiki/Greek_letters_used_in...

    the value of the integration of information in a system (based on integrated information theory) Geopotential; Alternative symbol for a wave function in quantum mechanics; Note: The empty set symbol ∅ looks similar, but is unrelated to the Greek letter. or represents:

  8. Root mean square - Wikipedia

    en.wikipedia.org/wiki/Root_mean_square

    Peak values can be calculated from RMS values from the above formula, which implies V P = V RMS × √ 2, assuming the source is a pure sine wave. Thus the peak value of the mains voltage in the USA is about 120 × √ 2, or about 170 volts. The peak-to-peak voltage, being double this, is about 340 volts.

  9. Trapezium - Wikipedia

    en.wikipedia.org/wiki/Trapezium

    Comparisons of "trapezium" in both British and American English. Trapezium, plural trapezia, may refer to: . Trapezium, in British and other forms of English, a trapezoid, a quadrilateral that has exactly one pair of parallel sides