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[1] The approximation can be proven several ways, and is closely related to the binomial theorem . By Bernoulli's inequality , the left-hand side of the approximation is greater than or equal to the right-hand side whenever x > − 1 {\displaystyle x>-1} and α ≥ 1 {\displaystyle \alpha \geq 1} .
U+2252 ≒ APPROXIMATELY EQUAL TO OR THE IMAGE OF: Which is used like "≈" or "≃" in Japan, Taiwan, and Korea. U+2253 ≓ IMAGE OF OR APPROXIMATELY EQUAL TO: A reversed variation of U+2252 ≒ APPROXIMATELY EQUAL TO OR THE IMAGE OF. U+225F ≟ QUESTIONED EQUAL TO: U+2A85 ⪅ LESS-THAN OR APPROXIMATE: U+2A86 ⪆ GREATER-THAN OR APPROXIMATE
which also has convergence order 2. Another simple explicit method of order 2, the improved Euler method, is obtained by the following consideration: A "mean" slope in the method step would be the slope of the solution 𝑦 in the middle of the step, i.e. at the point +. However, as the solution is unknown, it is approximated by an explicit ...
In the linear approximation, the period of swing is approximately the same for different size swings: that is, the period is independent of amplitude. This property, called isochronism, is the reason pendulums are so useful for timekeeping. [7] Successive swings of the pendulum, even if changing in amplitude, take the same amount of time.
Calculator spelling is an unintended characteristic of the seven-segment display traditionally used by calculators, in which, when read upside-down, the digits resemble letters of the Latin alphabet. Each digit may be mapped to one or more letters, creating a limited but functional subset of the alphabet, sometimes referred to as beghilos (or ...
An alternative version uses the fact that the Poisson distribution converges to a normal distribution by the Central Limit Theorem. [5]Since the Poisson distribution with parameter converges to a normal distribution with mean and variance , their density functions will be approximately the same:
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One barn is equal to 1.0 × 10 −28 m 2. The name derives from the folk expressions "As big as a barn," and "Couldn't hit the broad side of a barn", used by particle accelerator physicists to refer to the probability of achieving a collision between particles. For nuclear purposes, 1.0 × 10 −28 m 2 is actually rather large. [25]