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  2. Extraneous and missing solutions - Wikipedia

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

    Therefore, the solution = is extraneous and not valid, and the original equation has no solution. For this specific example, it could be recognized that (for the value x = − 2 {\displaystyle x=-2} ), the operation of multiplying by ( x − 2 ) ( x + 2 ) {\displaystyle (x-2)(x+2)} would be a multiplication by zero.

  3. Not In Our Town - Wikipedia

    en.wikipedia.org/wiki/Not_In_Our_Town

    An initial campaign was launched by a middle school teacher in Auburn, Maine in 1996. A hallmark of Not In Our School campaigns is that students are supported in defining the problems and identifying solutions. These solutions incorporate peer-to-peer actions to make schools safe and help bystanders gather the courage to become upstanders.

  4. Indeterminate system - Wikipedia

    en.wikipedia.org/wiki/Indeterminate_system

    An indeterminate system by definition is consistent, in the sense of having at least one solution. [3] For a system of linear equations, the number of equations in an indeterminate system could be the same as the number of unknowns, less than the number of unknowns (an underdetermined system ), or greater than the number of unknowns (an ...

  5. Eight queens puzzle - Wikipedia

    en.wikipedia.org/wiki/Eight_queens_puzzle

    However, one of the 12 fundamental solutions (solution 12 below) is identical to its own 180° rotation, so has only four variants (itself and its reflection, its 90° rotation and the reflection of that). [b] Thus, the total number of distinct solutions is 11×8 + 1×4 = 92. All fundamental solutions are presented below:

  6. Many-one reduction - Wikipedia

    en.wikipedia.org/wiki/Many-one_reduction

    A set is many-one reducible to the halting problem if and only if it is recursively enumerable. This says that with regards to many-one reducibility, the halting problem is the most complicated of all recursively enumerable problems. Thus the halting problem is r.e. complete. Note that it is not the only r.e. complete problem.

  7. Forest Hills Eastern High School - Wikipedia

    en.wikipedia.org/wiki/Forest_Hills_Eastern_High...

    The school is managed by a principal and overseen by The Forest Hills School Board. It shares a building with Forest Hills Eastern Middle School which services grades 6th through 8th. Forest Hills Eastern High School was founded in 2004 and is the newest (and smallest) of three high schools in the school district.

  8. Knapsack problem - Wikipedia

    en.wikipedia.org/wiki/Knapsack_problem

    If one rounds off some of the least significant digits of the profit values then they will be bounded by a polynomial and 1/ε where ε is a bound on the correctness of the solution. This restriction then means that an algorithm can find a solution in polynomial time that is correct within a factor of (1-ε) of the optimal solution.

  9. Equation solving - Wikipedia

    en.wikipedia.org/wiki/Equation_solving

    When seeking a solution, one or more variables are designated as unknowns. A solution is an assignment of values to the unknown variables that makes the equality in the equation true. In other words, a solution is a value or a collection of values (one for each unknown) such that, when substituted for the unknowns, the equation becomes an equality.

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