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  2. Beta function (physics) - Wikipedia

    en.wikipedia.org/wiki/Beta_function_(physics)

    written in terms of the fine structure constant in natural units, α = e 2 /4π. [2] This beta function tells us that the coupling increases with increasing energy scale, and QED becomes strongly coupled at high energy. In fact, the coupling apparently becomes infinite at some finite energy, resulting in a Landau pole. However, one cannot ...

  3. List of Golden Globe Award winning films - Wikipedia

    en.wikipedia.org/wiki/List_of_Golden_Globe_Award...

    Boys Don't Cry (1999) Braveheart (1995) Breaking Away (1979) The Bridge on the River Kwai (1957) Brokeback Mountain (2005) The Brutalist (2024) Bugsy (1991) Bullets over Broadway (1994) Burlesque (2010) Buster (1988) Butch Cassidy and the Sundance Kid (1969)

  4. Eisenstein integer - Wikipedia

    en.wikipedia.org/wiki/Eisenstein_integer

    The sum of the reciprocals of all Eisenstein integers excluding 0 raised to the sixth power can be expressed in terms of the gamma function: {} = = (/) where E are the Eisenstein integers and G 6 is the Eisenstein series of weight 6.

  5. Paschen's law - Wikipedia

    en.wikipedia.org/wiki/Paschen's_law

    Paschen curves obtained for helium, neon, argon, hydrogen and nitrogen, using the expression for the breakdown voltage as a function of the parameters A,B that interpolate the first Townsend coefficient.

  6. Pythagorean trigonometric identity - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_trigonometric...

    Similar right triangles illustrating the tangent and secant trigonometric functions Trigonometric functions and their reciprocals on the unit circle. The Pythagorean theorem applied to the blue triangle shows the identity 1 + cot 2 θ = csc 2 θ, and applied to the red triangle shows that 1 + tan 2 θ = sec 2 θ.

  7. Mathematics of three-phase electric power - Wikipedia

    en.wikipedia.org/wiki/Mathematics_of_three-phase...

    For example, balanced two-phase power can be obtained from a three-phase network by using two specially constructed transformers, with taps at 50% and 86.6% of the primary voltage. This Scott T connection produces a true two-phase system with 90° time difference between the

  8. Orthodiagonal quadrilateral - Wikipedia

    en.wikipedia.org/wiki/Orthodiagonal_quadrilateral

    A formula for the area K of a cyclic orthodiagonal quadrilateral in terms of the four sides is obtained directly when combining Ptolemy's theorem and the formula for the area of an orthodiagonal quadrilateral. The result is [11]: p.222 = (+).