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The human pupil in its constricted (3 mm) and fully dilated (9 mm) states. At 9 mm, the effective f-number is approximately f /1.6. Computing the f-number of the human eye involves computing the physical aperture and focal length of the eye. Typically, the pupil can dilate to be as large as 6–7 mm in darkness, which translates into the ...
Therefore, there are 3 4 =81 partial differential equations, however due to symmetry conditions, this number reduces to six different compatibility conditions. We can write these conditions in index notation as [ 4 ]
5.2 Mm Typical distance covered by the winner of the 24 Hours of Le Mans automobile endurance race 6.259 Mm Length of the Great Wall of China: 6.371 Mm Average radius of Earth: 6.378 Mm Equatorial radius of Earth 6.6 Mm Approximate length of the two longest rivers, the Nile and the Amazon: 7.821 Mm Length of the Trans-Canada Highway: 9.288 Mm
In materials science and engineering, the von Mises yield criterion is also formulated in terms of the von Mises stress or equivalent tensile stress, . This is a scalar value of stress that can be computed from the Cauchy stress tensor .
Two linear systems using the same set of variables are equivalent if each of the equations in the second system can be derived algebraically from the equations in the first system, and vice versa. Two systems are equivalent if either both are inconsistent or each equation of each of them is a linear combination of the equations of the other one.
The unique pair of values a, b satisfying the first two equations is (a, b) = (1, 1); since these values also satisfy the third equation, there do in fact exist a, b such that a times the original first equation plus b times the original second equation equals the original third equation; we conclude that the third equation is linearly ...
[6] In mathematics, the triple bar is sometimes used as a symbol of identity or an equivalence relation (although not the only one; other common choices include ~ and ≈). [7] [8] Particularly, in geometry, it may be used either to show that two figures are congruent or that they are identical. [9]
The first use of an equals sign, equivalent to 14x + 15 = 71 in modern notation. From The Whetstone of Witte by Robert Recorde of Wales (1557). [1]In mathematics, an equation is a mathematical formula that expresses the equality of two expressions, by connecting them with the equals sign =.