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Comparison functions are primarily used to obtain quantitative restatements of stability properties as Lyapunov stability, uniform asymptotic stability, etc. These restatements are often more useful than the qualitative definitions of stability properties given in ε - δ {\displaystyle \varepsilon {\text{-}}\delta } language.
Theoretical tensile strength of a carbon nanotube (CNT) [86] 130 GPa Ultimate tensile strength of monolayer graphene [87] 360 GPa Pressure inside Earth's inner core (3.64 million bar) [88] [89] 495 GPa Lower bound at which metallic hydrogen theoretically forms > 600 GPa Pressure attainable with a diamond anvil cell [90] 10 12 Pa
The Bulgars, at least the Danubian Bulgars, had a well-developed clan and military administrative system of "inner" and "outer" tribes, [112] governed by the ruling clan. [113] They had many titles, and according to Steven Runciman the distinction between titles which represented offices and mere ornamental dignities was somewhat vague. [ 114 ]
Examples of force. The following list shows different orders of magnitude of force.. Since weight under gravity is a force, several of these examples refer to the weight of various objects.
Scale analysis (or order-of-magnitude analysis) is a powerful tool used in the mathematical sciences for the simplification of equations with many terms. First the approximate magnitude of individual terms in the equations is determined.
The test functions used to evaluate the algorithms for MOP were taken from Deb, [4] Binh et al. [5] and Binh. [6] The software developed by Deb can be downloaded, [ 7 ] which implements the NSGA-II procedure with GAs, or the program posted on Internet, [ 8 ] which implements the NSGA-II procedure with ES.
Volga Bulgaria or Volga–Kama Bulgaria (sometimes referred to as the Volga Bulgar Emirate [2]) was a historical Bulgar [3] [4] [5] state that existed between the 9th and 13th centuries around the confluence of the Volga and Kama River, in what is now European Russia.
The plot also shows that ammonia is a stronger Lewis base than acetonitrile irrespective of its Lewis acid partner, whereas the relative strengths of ammonia and dimethyl sulfide as Lewis bases depends on the bonding characteristics of the Lewis acid, swapping order when R a = 0.1. (NB: guesstimate).