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  2. Snell's law - Wikipedia

    en.wikipedia.org/wiki/Snell's_law

    For example, when n = 4, given the lines a, b, c, and d and a point A on a, B on b, and so on, find the locus of points Q such that the product QA*QB equals the product QC*QD. When the lines are not all parallel, Pappus showed that the loci are conics, but when Descartes considered larger n, he obtained cubic and higher degree curves.

  3. Problem of Apollonius - Wikipedia

    en.wikipedia.org/wiki/Problem_of_Apollonius

    Although successful in solving Apollonius' problem, van Roomen's method has a drawback. A prized property in classical Euclidean geometry is the ability to solve problems using only a compass and a straightedge. [18] Many constructions are impossible using only these tools, such as dividing an angle in three equal parts.

  4. Locus (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Locus_(mathematics)

    Each curve in this example is a locus defined as the conchoid of the point P and the line l.In this example, P is 8 cm from l. In geometry, a locus (plural: loci) (Latin word for "place", "location") is a set of all points (commonly, a line, a line segment, a curve or a surface), whose location satisfies or is determined by one or more specified conditions.

  5. Extraneous and missing solutions - Wikipedia

    en.wikipedia.org/wiki/Extraneous_and_missing...

    The solution = is in fact a valid solution to the original equation; but the other solution, =, has disappeared. The problem is that we divided both sides by x {\displaystyle x} , which involves the indeterminate operation of dividing by zero when x = 0. {\displaystyle x=0.}

  6. Problem solving - Wikipedia

    en.wikipedia.org/wiki/Problem_solving

    Problem solving is the process of achieving a goal by overcoming obstacles, a frequent part of most activities. Problems in need of solutions range from simple personal tasks (e.g. how to turn on an appliance) to complex issues in business and technical fields.

  7. BCG consultants solving business problems with OpenAI’s GPT-4 ...

    www.aol.com/finance/bcg-consultants-solving...

    In the BCG study, participants using OpenAI’s GPT-4 for solving business problems actually performed 23% worse than those doing the task without GPT-4. Read more here . Other news below.

  8. Lex loci contractus - Wikipedia

    en.wikipedia.org/wiki/Lex_loci_contractus

    In contract law, the lex loci contractus is the Law Latin term meaning "law of the place where the contract is made". [ 1 ] [ 2 ] It refers (in the context of conflict of laws ) to resolving contractual disputes among parties of differing jurisdictions by using the law of the jurisdiction in which the contract was created.

  9. List of unsolved problems in economics - Wikipedia

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

    Transformation problem: The transformation problem is the problem specific to Marxist economics, and not to economics in general, of finding a general rule by which to transform the values of commodities based on socially necessary labour time into the competitive prices of the marketplace. The essential difficulty is how to reconcile profit in ...