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  2. Sentence (mathematical logic) - Wikipedia

    en.wikipedia.org/wiki/Sentence_(mathematical_logic)

    is a sentence. This sentence means that for every y, there is an x such that =. This sentence is true for positive real numbers, false for real numbers, and true for complex numbers. However, the formula (=) is not a sentence because of the presence of the free variable y.

  3. Federal Board of Intermediate and Secondary Education

    en.wikipedia.org/wiki/Federal_Board_of...

    The FBISE was established under the FBISE Act 1975. [2] It is an autonomous body of working under the Ministry of Federal Education and Professional Training. [3] The official website of FBISE was launched on June 7, 2001, and was inaugurated by Mrs. Zobaida Jalal, the Minister for Education [4] The first-ever online result of FBISE was announced on 18 August 2001. [5]

  4. Number sentence - Wikipedia

    en.wikipedia.org/wiki/Number_sentence

    A valid number sentence that is true: 83 + 19 = 102. A valid number sentence that is false: 1 + 1 = 3. A valid number sentence using a 'less than' symbol: 3 + 6 < 10. A valid number sentence using a 'more than' symbol: 3 + 9 > 11. An example from a lesson plan: [6] Some students will use a direct computational approach.

  5. Existential quantification - Wikipedia

    en.wikipedia.org/wiki/Existential_quantification

    (In particular, the sentence explicitly specifies its domain of discourse to be the natural numbers, not, for example, the real numbers.) This particular example is true, because 5 is a natural number, and when we substitute 5 for n , we produce the true statement 5 × 5 = 25 {\displaystyle 5\times 5=25} .

  6. Word problem (mathematics) - Wikipedia

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

    A timeline of papers relevant to the Novikov-Boone theorem is as follows: [3] [4] 1910 (): Axel Thue poses a general problem of term rewriting on tree-like structures. He states "A solution of this problem in the most general case may perhaps be connected with unsurmountable difficulties".

  7. Word problem (mathematics education) - Wikipedia

    en.wikipedia.org/wiki/Word_problem_(mathematics...

    Word problem from the Līlāvatī (12th century), with its English translation and solution. In science education, a word problem is a mathematical exercise (such as in a textbook, worksheet, or exam) where significant background information on the problem is presented in ordinary language rather than in mathematical notation.

  8. Mathematical visualization - Wikipedia

    en.wikipedia.org/wiki/Mathematical_visualization

    The Mandelbrot set, one of the most famous examples of mathematical visualization.. Mathematical phenomena can be understood and explored via visualization.Classically, this consisted of two-dimensional drawings or building three-dimensional models (particularly plaster models in the 19th and early 20th century).

  9. Reverse mathematics - Wikipedia

    en.wikipedia.org/wiki/Reverse_mathematics

    [1] theorem II.10.8; A weak version of Gödel's completeness theorem (for a set of sentences, in a countable language, that is already closed under consequence). The existence of an algebraic closure for a countable field (but not its uniqueness). [1] II.9.4--II.9.8; The existence and uniqueness of the real closure of a countable ordered field. [1]