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  2. Binomial theorem - Wikipedia

    en.wikipedia.org/wiki/Binomial_theorem

    In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial.According to the theorem, it is possible to expand the polynomial (x + y) n into a sum involving terms of the form ax b y c, where the exponents b and c are nonnegative integers with b + c = n, and the coefficient a of each term is a specific positive integer depending ...

  3. Covariance - Wikipedia

    en.wikipedia.org/wiki/Covariance

    The covariance is the sum of the volumes of the cuboids in the 1st and 3rd quadrants (red) minus those in the 2nd and 4th (blue). Suppose that and have the following joint probability mass function, [6] in which the six central cells give the discrete joint probabilities of the six hypothetical realizations : f ( x , y ) {\displaystyle f (x,y)}

  4. 46,XX/46,XY - Wikipedia

    en.wikipedia.org/wiki/46,XX/46,XY

    46,XX/46,XY is an example of tetragametic chimerism because it requires four gametes – two sperm and two ova. 46,XX/46,XY is most commonly explained during in conception combination of two fertilized eggs zygotes. Two ova from the mother are fertilized by two sperm from the father. One sperm contains an X chromosome; the other contains a Y ...

  5. Quadratic formula - Wikipedia

    en.wikipedia.org/wiki/Quadratic_formula

    Quadratic formula. The roots of the quadratic function y = ⁠ 1 2 ⁠x2 − 3x + ⁠ 5 2 ⁠ are the places where the graph intersects the x -axis, the values x = 1 and x = 5. They can be found via the quadratic formula. In elementary algebra, the quadratic formula is a closed-form expression describing the solutions of a quadratic equation.

  6. Partial differential equation - Wikipedia

    en.wikipedia.org/wiki/Partial_differential_equation

    In mathematics, a partial differential equation (PDE) is an equation which computes a function between various partial derivatives of a multivariable function.. The function is often thought of as an "unknown" to be solved for, similar to how x is thought of as an unknown number to be solved for in an algebraic equation like x 2 − 3x + 2 = 0.

  7. Related rates - Wikipedia

    en.wikipedia.org/wiki/Related_rates

    Substitute in x, y, dx/dt, dy/dt; Simplify. Choose coordinate system: Let the y-axis point North and the x-axis point East. Identify variables: Define y(t) to be the distance of the vehicle heading North from the origin and x(t) to be the distance of the vehicle heading West from the origin. Express c in terms of x and y via the Pythagorean ...

  8. Daniel Craig opens up about filming explicit gay sex scenes ...

    www.aol.com/daniel-craig-opens-filming-explicit...

    Daniel Craig at the Venice Film Festival on Sept. 2, 2024. According to IndieWire's Ryan Lattanzio, "Queer" features the "most explicit gay sex scenes I can remember in any mainstream movie ...

  9. Trigonometric substitution - Wikipedia

    en.wikipedia.org/wiki/Trigonometric_substitution

    In calculus, trigonometric substitutions are a technique for evaluating integrals. In this case, an expression involving a radical function is replaced with a trigonometric one. Trigonometric identities may help simplify the answer. [1][2] Like other methods of integration by substitution, when evaluating a definite integral, it may be simpler ...