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The use of multiple representations supports and requires tasks that involve decision-making and other problem-solving skills. [2] [3] [4] The choice of which representation to use, the task of making representations given other representations, and the understanding of how changes in one representation affect others are examples of such mathematically sophisticated activities.
In another generalization of this problem, we have two balance scales that can be used in parallel. For example, if you know exactly one coin is different but do not know if it is heavier or lighter than a normal coin, then in n {\displaystyle n} rounds, you can solve the problem with at most ( 5 n − 5 ) / 2 {\displaystyle (5^{n}-5)/2} coins.
Level of measurement or scale of measure is a classification that describes the nature of information within the values assigned to variables. [1] Psychologist Stanley Smith Stevens developed the best-known classification with four levels, or scales, of measurement: nominal, ordinal, interval, and ratio.
Advanced slide rules have many scales and they are often designed with particular types of user in mind, for example electrical engineers or surveyors. [9] [10] There are rarely scales for addition and subtraction but a workaround is possible. [note 4] [11] The rule illustrated is an Aristo 0972 HyperLog, which has 31 scales.
Although written in the form of proposition, an equation is not a statement that is either true or false, but a problem consisting of finding the values, called solutions, that, when substituted for the unknowns, yield equal values of the expressions A and B. For example, 2 is the unique solution of the equation x + 2 = 4, in which the unknown ...
Water pouring puzzles (also called water jug problems, decanting problems, [1] [2] measuring puzzles, or Die Hard with a Vengeance puzzles) are a class of puzzle involving a finite collection of water jugs of known integer capacities (in terms of a liquid measure such as liters or gallons). Initially each jug contains a known integer volume of ...
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