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  2. Proportional reasoning - Wikipedia

    en.wikipedia.org/wiki/Proportional_reasoning

    Typical Solutions. Someone with knowledge about the area of triangles might reason: "Initially the area of the water forming the triangle is 12 since ⁠ 1 / 2 ⁠ × 4 × 6 = 12. The amount of water doesn't change so the area won't change. So the answer is 3 because ⁠ 1 / 2 ⁠ × 3 × 8 = 12." A correct multiplicative answer is relatively rare.

  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. Block-stacking problem - Wikipedia

    en.wikipedia.org/wiki/Block-stacking_problem

    The first nine blocks in the solution to the single-wide block-stacking problem with the overhangs indicated. In statics, the block-stacking problem (sometimes known as The Leaning Tower of Lire (Johnson 1955), also the book-stacking problem, or a number of other similar terms) is a puzzle concerning the stacking of blocks at the edge of a table.

  5. Power law - Wikipedia

    en.wikipedia.org/wiki/Power_law

    In statistics, a power law is a functional relationship between two quantities, where a relative change in one quantity results in a relative change in the other quantity proportional to the change raised to a constant exponent: one quantity varies as a power of another. The change is independent of the initial size of those quantities.

  6. Intercept theorem - Wikipedia

    en.wikipedia.org/wiki/Intercept_theorem

    The intercept theorem, also known as Thales's theorem, basic proportionality theorem or side splitter theorem, is an important theorem in elementary geometry about the ratios of various line segments that are created if two rays with a common starting point are intercepted by a pair of parallels.

  7. Iterative proportional fitting - Wikipedia

    en.wikipedia.org/wiki/Iterative_proportional_fitting

    The iterative proportional fitting procedure (IPF or IPFP, also known as biproportional fitting or biproportion in statistics or economics (input-output analysis, etc.), RAS algorithm [1] in economics, raking in survey statistics, and matrix scaling in computer science) is the operation of finding the fitted matrix which is the closest to an initial matrix but with the row and column totals of ...

  8. Related rates - Wikipedia

    en.wikipedia.org/wiki/Related_rates

    The most common way to approach related rates problems is the following: [2] Identify the known variables, including rates of change and the rate of change that is to be found. (Drawing a picture or representation of the problem can help to keep everything in order)

  9. Proportionality - Wikipedia

    en.wikipedia.org/wiki/Proportionality

    Proportional representation, in electoral systems Topics referred to by the same term This disambiguation page lists articles associated with the title Proportionality .