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  2. Explanation - Wikipedia

    en.wikipedia.org/wiki/Explanation

    It is thus assumed that there is a single kind or form of explanation that is “scientific”. In fact, the notion of “scientific explanation” suggests a contrast between those "explanations", that are characteristic of "science" and those which are outside the science, and second a contrast between "explanation" and something else.

  3. Mass versus weight - Wikipedia

    en.wikipedia.org/wiki/Mass_versus_weight

    All objects on the Earth's surface are subject to a gravitational acceleration of approximately 9.8 m/s 2. The General Conference on Weights and Measures fixed the value of standard gravity at precisely 9.80665 m/s 2 so that disciplines such as metrology would have a standard value for converting units of defined mass into defined forces and ...

  4. Relationship between mathematics and physics - Wikipedia

    en.wikipedia.org/wiki/Relationship_between...

    The relationship between mathematics and physics has been a subject of study of philosophers, mathematicians and physicists since antiquity, and more recently also by historians and educators. [2] Generally considered a relationship of great intimacy, [ 3 ] mathematics has been described as "an essential tool for physics" [ 4 ] and physics has ...

  5. Glossary of mathematical symbols - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_mathematical...

    3. Between two groups, may mean that the first one is a proper subgroup of the second one. > (greater-than sign) 1. Strict inequality between two numbers; means and is read as "greater than". 2. Commonly used for denoting any strict order. 3. Between two groups, may mean that the second one is a proper subgroup of the first one. ≤ 1.

  6. Arithmetic - Wikipedia

    en.wikipedia.org/wiki/Arithmetic

    If this number is truncated to 4 decimal places, the result is 3.141. Rounding is a similar process in which the last preserved digit is increased by one if the next digit is 5 or greater but remains the same if the next digit is less than 5, so that the rounded number is the best approximation of a given precision for the original number.

  7. Relation (mathematics) - Wikipedia

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

    As an example, "is less than" is a relation on the set of natural numbers; it holds, for instance, between the values 1 and 3 (denoted as 1 < 3), and likewise between 3 and 4 (denoted as 3 < 4), but not between the values 3 and 1 nor between 4 and 4, that is, 3 < 1 and 4 < 4 both evaluate to false.

  8. Difference of two squares - Wikipedia

    en.wikipedia.org/wiki/Difference_of_two_squares

    The resulting identity is one of the most commonly used in mathematics. Among many uses, it gives a simple proof of the AM–GM inequality in two variables. The proof holds in any commutative ring. Conversely, if this identity holds in a ring R for all pairs of elements a and b, then R is commutative. To see this, apply the distributive law to ...

  9. Material conditional - Wikipedia

    en.wikipedia.org/wiki/Material_conditional

    [7] [9] Recent work in formal semantics and philosophy of language has generally eschewed material implication as an analysis for natural-language conditionals. [9] In particular, such work has often rejected the assumption that natural-language conditionals are truth functional in the sense that the truth value of "If P , then Q " is ...