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Also bear in mind that the fraction 2/3 is the single exception, used in addition to integers, that Ahmes uses alongside all (positive) rational unit fractions to express Egyptian fractions. The 2/n table can be said to partially follow an algorithm (see problem 61B) for expressing 2/n as an Egyptian fraction of 2 terms, when n is composite.
A fractal dimension is an index for characterizing fractal patterns or sets by quantifying their complexity as a ratio of the change in detail to the change in scale. [5] : 1 Several types of fractal dimension can be measured theoretically and empirically ( see Fig. 2 ). [3] [9] Fractal dimensions are used to characterize a broad spectrum of ...
Merton's portfolio problem. Merton's portfolio problem is a problem in continuous-time finance and in particular intertemporal portfolio choice. An investor must choose how much to consume and must allocate their wealth between stocks and a risk-free asset so as to maximize expected utility.
[117] The researchers stated, "The effect of a US$1 increase in the minimum wage ranged from a 3.4% decrease (95% CI 0.4 to 6.4) to a 5.9% decrease (95% CI 1.4 to 10.2) in the suicide rate among adults aged 18–64 years with a high school education or less. We detected significant effect modification by unemployment rate, with the largest ...
Capricorn will let loose and Sagittarius will get in line. It’s possible these two traveled to take a long road in order to get to where they are today. They will come to appreciate one another ...
Japan's Hi-Vision originally started with a 5:3 (= 15:9) ratio but converted when the international standards group introduced a wider ratio of 5 + 1 ⁄ 3 to 3 (= 16:9). Many digital video cameras have the capability to record in 16:9 (= 4 2 :3 2 ), and 16:9 is the only widescreen aspect ratio natively supported by the DVD standard.
The Rhind Mathematical Papyrus, [1] [2] an ancient Egyptian mathematical work, includes a mathematical table for converting rational numbers of the form 2/ n into Egyptian fractions (sums of distinct unit fractions ), the form the Egyptians used to write fractional numbers. The text describes the representation of 50 rational numbers.
The buckling formula: A puzzle involving "colliding billiard balls": is the number of collisions made (in ideal conditions, perfectly elastic with no friction) by an object of mass m initially at rest between a fixed wall and another object of mass b2Nm, when struck by the other object. [1] (.