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  2. Sides of an equation - Wikipedia

    en.wikipedia.org/wiki/Sides_of_an_equation

    In solving mathematical equations, particularly linear simultaneous equations, differential equations and integral equations, the terminology homogeneous is often used for equations with some linear operator L on the LHS and 0 on the RHS. In contrast, an equation with a non-zero RHS is called inhomogeneous or non-homogeneous, as exemplified by ...

  3. List of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/List_of_trigonometric...

    However, the discriminant of this equation is positive, so this equation has three real roots (of which only one is the solution for the cosine of the one-third angle). None of these solutions are reducible to a real algebraic expression , as they use intermediate complex numbers under the cube roots .

  4. Inverse function - Wikipedia

    en.wikipedia.org/wiki/Inverse_function

    In fact, if a function has a left inverse and a right inverse, they are both the same two-sided inverse, so it can be called the inverse. If g {\displaystyle g} is a left inverse and h {\displaystyle h} a right inverse of f {\displaystyle f} , for all y ∈ Y {\displaystyle y\in Y} , g ( y ) = g ( f ( h ( y ) ) = h ( y ) {\displaystyle g(y)=g(f ...

  5. Isosceles triangle - Wikipedia

    en.wikipedia.org/wiki/Isosceles_triangle

    The area, perimeter, and base can also be related to each other by the equation [24] 2 p b 3 − p 2 b 2 + 16 T 2 = 0. {\displaystyle 2pb^{3}-p^{2}b^{2}+16T^{2}=0.} If the base and perimeter are fixed, then this formula determines the area of the resulting isosceles triangle, which is the maximum possible among all triangles with the same base ...

  6. Tetrahedron - Wikipedia

    en.wikipedia.org/wiki/Tetrahedron

    4-sided dice The Royal Game of Ur , dating from 2600 BC, was played with a set of tetrahedral dice. Especially in roleplaying , this solid is known as a 4-sided die , one of the more common polyhedral dice , with the number rolled appearing around the bottom or on the top vertex.

  7. Two-sided Laplace transform - Wikipedia

    en.wikipedia.org/wiki/Two-sided_Laplace_transform

    Two-sided Laplace transforms are closely related to the Fourier transform, the Mellin transform, the Z-transform and the ordinary or one-sided Laplace transform. If f(t) is a real- or complex-valued function of the real variable t defined for all real numbers, then the two-sided Laplace transform is defined by the integral