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  2. Planck's law - Wikipedia

    en.wikipedia.org/wiki/Planck's_law

    In 1905, "Einstein believed that Planck's theory could not be made to agree with the idea of light quanta, a mistake he corrected in 1906." [133] Contrary to Planck's beliefs of the time, Einstein proposed a model and formula whereby light was emitted, absorbed, and propagated in free space in energy quanta localized in points of space. [132]

  3. Taylor series - Wikipedia

    en.wikipedia.org/wiki/Taylor_series

    Nonstandard analysis. v. t. e. In mathematics, the Taylor series or Taylor expansion of a function is an infinite sum of terms that are expressed in terms of the function's derivatives at a single point. For most common functions, the function and the sum of its Taylor series are equal near this point.

  4. Quantum entanglement - Wikipedia

    en.wikipedia.org/wiki/Quantum_entanglement

    e. Quantum entanglement is the phenomenon of a group of particles being generated, interacting, or sharing spatial proximity in such a way that the quantum state of each particle of the group cannot be described independently of the state of the others, including when the particles are separated by a large distance.

  5. Maxwell's equations - Wikipedia

    en.wikipedia.org/wiki/Maxwell's_equations

    Maxwell's equations, or Maxwell–Heaviside equations, are a set of coupled partial differential equations that, together with the Lorentz force law, form the foundation of classical electromagnetism, classical optics, electric and magnetic circuits. The equations provide a mathematical model for electric, optical, and radio technologies, such ...

  6. Singular value decomposition - Wikipedia

    en.wikipedia.org/wiki/Singular_value_decomposition

    Bottom: The action of Σ, a scaling by the singular values σ1 horizontally and σ2 vertically. Right: The action of U, another rotation. In linear algebra, the singular value decomposition (SVD) is a factorization of a real or complex matrix into a rotation, followed by a rescaling followed by another rotation.

  7. Isaac Newton - Wikipedia

    en.wikipedia.org/wiki/Isaac_Newton

    Sir Isaac Newton FRS (25 December 1642 – 20 March 1726/27 [a]) was an English polymath active as a mathematician, physicist, astronomer, alchemist, theologian, and author who was described in his time as a natural philosopher. [7]

  8. Potassium permanganate - Wikipedia

    en.wikipedia.org/wiki/Potassium_permanganate

    It is a purplish-black crystalline salt, that dissolves in water as K + and MnO−. 4, an intensely pink to purple solution. Potassium permanganate is widely used in the chemical industry and laboratories as a strong oxidizing agent, and also as a medication for dermatitis, for cleaning wounds, and general disinfection.

  9. Fermat's Last Theorem - Wikipedia

    en.wikipedia.org/wiki/Fermat's_Last_Theorem

    Fermat's Last Theorem considers solutions to the Fermat equation: a n + b n = c n with positive integers a, b, and c and an integer n greater than 2. There are several generalizations of the Fermat equation to more general equations that allow the exponent n to be a negative integer or rational, or to consider three different exponents.