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Fermat's last theorem in the case of exponent 3 states that the sum of two non-zero integer cubes does not result in a non-zero integer cube. The first recorded proof of the exponent 3 case was given by Euler. Taxicab and Cabtaxi numbers. Taxicab numbers are numbers that can be expressed as a sum of two positive integer cubes in n distinct ways.
The recognition-by-components theory, or RBC theory, [1] is a process proposed by Irving Biederman in 1987 to explain object recognition. According to RBC theory, we are able to recognize objects by separating them into geons (the object's main component parts). Biederman suggested that geons are based on basic 3-dimensional shapes (cylinders ...
If the resulting sum has two or more digits, sum those digits as in step one; repeat this step until the resulting sum has only one digit. Repeat steps one and two with the second operand. At this point there are two single-digit numbers, the first derived from the first operand and the second derived from the second operand.
Mathematical psychology is an approach to psychological research that is based on mathematical modeling of perceptual, thought, cognitive and motor processes, and on the establishment of law-like rules that relate quantifiable stimulus characteristics with quantifiable behavior (in practice often constituted by task performance).
In arithmetic and algebra, the cube of a number n is its third power, that is, the result of multiplying three instances of n together. The cube of a number or any other mathematical expression is denoted by a superscript 3, for example 23 = 8 or (x + 1)3 . The cube is also the number multiplied by its square : n3 = n × n2 = n × n × n.
Molyneux's problem. Molyneux's problem is a thought experiment in philosophy [1] concerning immediate recovery from blindness. It was first formulated by William Molyneux, and notably referred to in John Locke 's An Essay Concerning Human Understanding (1689). The problem can be stated in brief, "if a man born blind can feel the differences ...
The quadratic trinomial in standard form (as from above): sum or difference of two cubes: A special type of trinomial can be factored in a manner similar to quadratics since it can be viewed as a quadratic in a new variable ( xn below). This form is factored as: x 2 n + r x n + s = ( x n + a 1 ) ( x n + a 2 ) , {\displaystyle x^ {2n}+rx^ {n}+s ...
Peak–end rule. The peak–end rule is a psychological heuristic in which people judge an experience largely based on how they felt at its peak (i.e., its most intense point) and at its end, rather than based on the total sum or average of every moment of the experience. The effect occurs regardless of whether the experience is pleasant or ...