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  2. Word problem for groups - Wikipedia

    en.wikipedia.org/wiki/Word_problem_for_groups

    On the other hand, the fact that a particular algorithm does not solve the word problem for a particular group does not show that the group has an unsolvable word problem. For instance Dehn's algorithm does not solve the word problem for the fundamental group of the torus. However this group is the direct product of two infinite cyclic groups ...

  3. Algebra - Wikipedia

    en.wikipedia.org/wiki/Algebra

    Solving an equation corresponds to adding and removing objects on both sides in such a way that the sides stay in balance until the only object remaining on one side is the object of unknown mass. [132] Word problems are another tool to show how algebra is applied to real-life situations. For example, students may be presented with a situation ...

  4. 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.

  5. How to Solve It - Wikipedia

    en.wikipedia.org/wiki/How_to_Solve_It

    How to Solve It suggests the following steps when solving a mathematical problem: . First, you have to understand the problem. [2]After understanding, make a plan. [3]Carry out the plan.

  6. TK Solver - Wikipedia

    en.wikipedia.org/wiki/TK_Solver

    Konopasek's goal in inventing the TK Solver concept was to create a problem solving environment in which a given mathematical model built to solve a specific problem could be used to solve related problems (with a redistribution of input and output variables) with minimal or no additional programming required: once a user enters an equation, TK ...

  7. Timeline of algebra - Wikipedia

    en.wikipedia.org/wiki/Timeline_of_algebra

    He also discovers the first numerical solution to equations of the form ax 2n + bx n = c. [13] Al-Karaji is also regarded as the first person to free algebra from geometrical operations and replace them with the type of arithmetic operations which are at the core of algebra today.

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