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  2. Continuum hypothesis - Wikipedia

    en.wikipedia.org/wiki/Continuum_hypothesis

    In mathematics, specifically set theory, the continuum hypothesis (abbreviated CH) is a hypothesis about the possible sizes of infinite sets. It states: It states: There is no set whose cardinality is strictly between that of the integers and the real numbers .

  3. IISER Aptitude Test - Wikipedia

    en.wikipedia.org/wiki/IISER_Aptitude_Test

    IAT consists of 60 questions: 15 questions each from Biology, Chemistry, Mathematics, and Physics. Total time for answering the test is 3 hours. Questions are of multiple choice type with only one correct answer. Each correct answer is awarded 4 marks. Each incorrect answer leads to the deduction of 1 mark. Unanswered questions are awarded 0 mark.

  4. Vector (mathematics and physics) - Wikipedia

    en.wikipedia.org/wiki/Vector_(mathematics_and...

    [9] [12] Bound vector quantities are formulated as a directed line segment, with a definite initial point besides the magnitude and direction of the main vector. [ 9 ] [ 11 ] For example, a force on the Euclidean plane has two Cartesian components in SI unit of newtons and an accompanying two-dimensional position vector in meters, for a total ...

  5. Physical chemistry - Wikipedia

    en.wikipedia.org/wiki/Physical_chemistry

    Physical chemistry is the study of macroscopic and microscopic phenomena in chemical systems in terms of the principles, practices, and concepts of physics such as motion, energy, force, time, thermodynamics, quantum chemistry, statistical mechanics, analytical dynamics and chemical equilibria.

  6. Pythagorean triple - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_triple

    Euclid's formula for Pythagorean triples and the inverse relationship t = y / (x + 1) mean that, except for (−1, 0), a point (x, y) on the circle is rational if and only if the corresponding value of t is a rational number. Note that t = y / (x + 1) = b / (a + c) = n / m is also the tangent of half of the angle that is opposite the triangle ...

  7. Chinese remainder theorem - Wikipedia

    en.wikipedia.org/wiki/Chinese_remainder_theorem

    In mathematics, the Chinese remainder theorem states that if one knows the remainders of the Euclidean division of an integer n by several integers, then one can determine uniquely the remainder of the division of n by the product of these integers, under the condition that the divisors are pairwise coprime (no two divisors share a common factor other than 1).

  8. Mathematical beauty - Wikipedia

    en.wikipedia.org/wiki/Mathematical_beauty

    Starting at e 0 = 1, travelling at the velocity i relative to one's position for the length of time π, and adding 1, one arrives at 0. (The diagram is an Argand diagram.) Some mathematicians see beauty in mathematical results that establish connections between two areas of mathematics that at first sight appear to be unrelated. [5]

  9. 12/1 - Wikipedia

    en.wikipedia.org/wiki/12/1

    1/12 (disambiguation) 112 (disambiguation) 12 (disambiguation) 1 (disambiguation) This page was last edited on 31 January 2025, at 10:02 (UTC). Text is available ...