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In fluid dynamics, the Taylor number (Ta) is a dimensionless quantity that characterizes the importance of centrifugal "forces" or so-called inertial forces due to rotation of a fluid about an axis, relative to viscous forces. [1] In 1923 Geoffrey Ingram Taylor introduced this quantity in his article on the stability of flow. [2]
In mathematics, the nth taxicab number, typically denoted Ta(n) or Taxicab(n), is defined as the smallest integer that can be expressed as a sum of two positive integer cubes in n distinct ways. [1] The most famous taxicab number is 1729 = Ta(2) = 1 3 + 12 3 = 9 3 + 10 3 , also known as the Hardy-Ramanujan number.
where K is the stress intensity factor (with units of stress × length 1/2) and is a dimensionless quantity that varies with the load and geometry. Theoretically, as r goes to 0, the stress σ i j {\displaystyle \sigma _{ij}} goes to ∞ {\displaystyle \infty } resulting in a stress singularity. [ 5 ]
Figure 1 shows a typical plot of the rate of crack growth as a function of the alternating stress intensity or crack tip driving force plotted on log scales. The crack growth rate behaviour with respect to the alternating stress intensity can be explained in different regimes (see, figure 1) as follows
The value of the function at a critical point is a critical value. [1] More specifically, when dealing with functions of a real variable, a critical point, also known as a stationary point, is a point in the domain of the function where the function derivative is equal to zero (or where the function is not differentiable). [2]
In her new book Cher: The Memoir, Part 1, out Tuesday, Nov. 19, the entertainment legend opens up about the downfall of their marriage. Cher and Bono were 16 and 27, respectively, when they met.
The majority of registered voters say they accept President-elect Trump’s victory in the White House race, regardless of feelings, according to a recent exit poll. The YouGov/Economist survey ...
A Georgia poll worker was arrested on Monday on U.S. charges that he sent a letter threatening to bomb election workers that he wrote to appear as if it came from a voter in the presidential ...