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  2. Millennium Prize Problems - Wikipedia

    en.wikipedia.org/wiki/Millennium_Prize_Problems

    The question is whether or not, for all problems for which an algorithm can verify a given solution quickly (that is, in polynomial time), an algorithm can also find that solution quickly. Since the former describes the class of problems termed NP, while the latter describes P, the question is equivalent to asking whether all problems in NP are ...

  3. List of unsolved problems in physics - Wikipedia

    en.wikipedia.org/wiki/List_of_unsolved_problems...

    The following is a list of notable unsolved problems grouped into broad areas of physics. [1]Some of the major unsolved problems in physics are theoretical, meaning that existing theories seem incapable of explaining a certain observed phenomenon or experimental result.

  4. List of unsolved problems in mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_unsolved_problems...

    Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.

  5. Mathematical formulation of the Standard Model - Wikipedia

    en.wikipedia.org/wiki/Mathematical_formulation...

    Any such term must be both gauge and reference-frame invariant, otherwise the laws of physics would depend on an arbitrary choice or the frame of an observer. Therefore, the global Poincaré symmetry , consisting of translational symmetry , rotational symmetry and the inertial reference frame invariance central to the theory of special ...

  6. List of theorems - Wikipedia

    en.wikipedia.org/wiki/List_of_theorems

    Hasse–Arf theorem (local class field theory) Hasse–Minkowski theorem (number theory) Heckscher–Ohlin theorem ; Heine–Borel theorem (real analysis) Heine–Cantor theorem (metric geometry) Hellinger–Toeplitz theorem (functional analysis) Hellmann–Feynman theorem ; Helly–Bray theorem (probability theory)

  7. Relationship between mathematics and physics - Wikipedia

    en.wikipedia.org/wiki/Relationship_between...

    During this period there was little distinction between physics and mathematics; [17] as an example, Newton regarded geometry as a branch of mechanics. [18] In the 19th century Auguste Comte in his hierarchy of the sciences, placed physics and astronomy as less general and more complex than mathematics, as both depend on it. [19]

  8. She Lived with These Parkinson’s Symptoms for Over a ... - AOL

    www.aol.com/she-lived-parkinson-symptoms-over...

    Veronica Brown lived with chronic fatigue, depression, and anxiety for over 10 years before she learned they were early signs of Parkinson's disease. Here's how she found relief after diagnosis.

  9. Lists of physics equations - Wikipedia

    en.wikipedia.org/wiki/Lists_of_physics_equations

    In physics, there are equations in every field to relate physical quantities to each other and perform calculations. Entire handbooks of equations can only summarize most of the full subject, else are highly specialized within a certain field. Physics is derived of formulae only.