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  2. Proportional reasoning - Wikipedia

    en.wikipedia.org/wiki/Proportional_reasoning

    Here is a picture of two students working with the "water triangle". Given the problem noted above, most students predict the water level on the left side will drop to two units when the water triangle is tilted. When they carry out the experiment and see that the answer is 3 units, this establishes some cognitive dissonance.

  3. Proportionality (mathematics) - Wikipedia

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

    The variable y is directly proportional to the variable x with proportionality constant ~0.6. The variable y is inversely proportional to the variable x with proportionality constant 1. In mathematics, two sequences of numbers, often experimental data, are proportional or directly proportional if their corresponding elements have a constant ratio.

  4. Proportionality - Wikipedia

    en.wikipedia.org/wiki/Proportionality

    Proportionality (mathematics), the property of two variables being in a multiplicative relation to a constant; Ratio, of one quantity to another, especially of a part compared to a whole Fraction (mathematics) Aspect ratio or proportions; Proportional division, a kind of fair division; Percentage, a number or ratio expressed as a fraction of 100

  5. ‘Connections’ Hints and Answers for NYT's Tricky ... - AOL

    www.aol.com/connections-hints-answers-nyts...

    Get ready for all of the NYT 'Connections’ hints and answers for #206 on Wednesday, January 3, 2024. Connections game on Wednesday, January 3 , 2024 New York Times

  6. Finitary relation - Wikipedia

    en.wikipedia.org/wiki/Finitary_relation

    In mathematics, a finitary relation over a sequence of sets X 1, ..., X n is a subset of the Cartesian product X 1 × ... × X n; that is, it is a set of n-tuples (x 1, ..., x n), each being a sequence of elements x i in the corresponding X i. [1] [2] [3] Typically, the relation describes a possible connection between the elements of an n-tuple.

  7. Connected relation - Wikipedia

    en.wikipedia.org/wiki/Connected_relation

    In mathematics, a relation on a set is called connected or complete or total if it relates (or "compares") all distinct pairs of elements of the set in one direction or the other while it is called strongly connected if it relates all pairs of elements.

  8. Connection (mathematics) - Wikipedia

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

    An Ehresmann connection is a connection in a fibre bundle or a principal bundle by specifying the allowed directions of motion of the field. A Koszul connection is a connection which defines directional derivative for sections of a vector bundle more general than the tangent bundle.

  9. Square–cube law - Wikipedia

    en.wikipedia.org/wiki/Square–cube_law

    Its volume would be multiplied by the cube of 2 and become 8 m 3. The original cube (1 m sides) has a surface area to volume ratio of 6:1. The larger (2 m sides) cube has a surface area to volume ratio of (24/8) 3:1. As the dimensions increase, the volume will continue to grow faster than the surface area. Thus the square–cube law.