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Slope may still be expressed when the horizontal run is not known: the rise can be divided by the hypotenuse (the slope length). This is not the usual way to specify slope; this nonstandard expression follows the sine function rather than the tangent function, so it calls a 45 degree slope a 71 percent grade instead of a 100 percent. But in ...
An example capital allocation line. As illustrated by the article, the slope dictates the amount of return that comes with a certain level of risk. Capital allocation line (CAL) is a graph created by investors to measure the risk of risky and risk-free assets. The graph displays the return to be made by taking on a certain level of risk.
The slope of the SML is equal to the market risk premium and reflects the risk return tradeoff at a given time: : = + [()] where: E(R i) is an expected return on security E(R M) is an expected return on market portfolio M β is a nondiversifiable or systematic risk
Actuarial notation is a shorthand method to allow actuaries to record mathematical formulas that deal with interest rates and life tables.. Traditional notation uses a halo system, where symbols are placed as superscript or subscript before or after the main letter.
Pearson's correlation coefficient is the covariance of the two variables divided by the product of their standard deviations. The form of the definition involves a "product moment", that is, the mean (the first moment about the origin) of the product of the mean-adjusted random variables; hence the modifier product-moment in the name.
The gradient of the function f(x,y) = −(cos 2 x + cos 2 y) 2 depicted as a projected vector field on the bottom plane. The gradient (or gradient vector field) of a scalar function f(x 1, x 2, x 3, …, x n) is denoted ∇f or ∇ → f where ∇ denotes the vector differential operator, del.
The runoff curve number (also called a curve number or simply CN) is an empirical parameter used in hydrology for predicting direct runoff or infiltration from rainfall excess. [1]
Hsu gives a simple formula for a gust factor (G ) for winds as a function of the exponent (p), above, where G is the ratio of the wind gust speed to baseline wind speed at a given height: [28] G = 1 + 2 p {\displaystyle G=1+2p}