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  2. Hume-Rothery rules - Wikipedia

    en.wikipedia.org/wiki/Hume-Rothery_rules

    Hume-Rothery rules, named after William Hume-Rothery, are a set of basic rules that describe the conditions under which an element could dissolve in a metal, forming a solid solution. There are two sets of rules; one refers to substitutional solid solutions, and the other refers to interstitial solid solutions.

  3. Halting problem - Wikipedia

    en.wikipedia.org/wiki/Halting_problem

    The universal halting problem, also known (in recursion theory) as totality, is the problem of determining whether a given computer program will halt for every input (the name totality comes from the equivalent question of whether the computed function is total). This problem is not only undecidable, as the halting problem is, but highly ...

  4. Hund's rules - Wikipedia

    en.wikipedia.org/wiki/Hund's_rules

    However Hund's rules should not be used to order states other than the lowest for a given configuration. [5] For example, the titanium atom ground state configuration is ...3d 2 for which a naïve application of Hund's rules would suggest the ordering 3 F < 3 P < 1 G < 1 D < 1 S. In reality, however, 1 D lies below 1 G.

  5. Theory of everything - Wikipedia

    en.wikipedia.org/wiki/Theory_of_everything

    No matter how many problems we solve, there will always be other problems that cannot be solved within the existing rules. […] Because of Gödel's theorem, physics is inexhaustible too. The laws of physics are a finite set of rules, and include the rules for doing mathematics, so that Gödel's theorem applies to them." [48]

  6. Hierarchy problem - Wikipedia

    en.wikipedia.org/wiki/Hierarchy_problem

    In theoretical physics, the hierarchy problem is the problem concerning the large discrepancy between aspects of the weak force and gravity. [1] There is no scientific consensus on why, for example, the weak force is 10 24 times stronger than gravity .

  7. Selection rule - Wikipedia

    en.wikipedia.org/wiki/Selection_rule

    In physics and chemistry, a selection rule, or transition rule, formally constrains the possible transitions of a system from one quantum state to another. Selection rules have been derived for electromagnetic transitions in molecules, in atoms, in atomic nuclei, and so on. The selection rules may differ according to the technique used to ...

  8. NYT ‘Connections’ Hints and Answers Today, Saturday, January 11

    www.aol.com/nyt-connections-hints-answers-today...

    Get ready for all of today's NYT 'Connections’ hints and answers for #580 on Saturday, January 11, 2025. Today's NYT Connections puzzle for Saturday, January 11, 2025 The New York Times

  9. 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 ...

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