Sentence examples for modulus is given from inspiring English sources

An alternative proof for the final Montgomery multiplication by 1, removing the condition on the modulus, is given.

The distance modulus is given by μ = 5 log d L + 25, (42 where the luminosity distance d L is defined as d L = r 1 1 + z a 0. (43).

The secant modulus is given by the slope of a line drawn from the origin to a point on the curve corresponding to a 40% stress of the failure load (Mehta and Monteiro 2006).

For any complex number :z = x + iy,\, the absolute value or modulus is given by :r = |z|=\sqrt{x^2 + y^2}.\, So the three quantities, r, x and y are related by the Pythagorean equation, :r^2 = x^2 + y^2.\, Note that r is defined to be a positive number or zero but x and y can be negative as well as positive.

From this value and the height (diameter) [ 60] of the fibrils, the bending modulus is given by equation (5).

The P wave modulus is given by, where ρbulk is the bulk sample density and V P is the P wave velocity.

The specific gravity, water absorption, and fineness modulus are given in Table 3.

To illustrate this a historical review of the modulus concept is given and its applicability for today's mechanical engineering practise is shown.

The actual calculation is made for systems in which the elastic relaxation modulus L t) is given by a linear combination of n exponential functions.

If the crystalline effect is considered in the Young's modulus which is given by [19] (35).

For a homogeneous and linearly elastic solid the general expression of Young's modulus E(n) is given, and a constrained extremum problem is formulated for the evaluation of the directions n corresponding to stationary values of the modulus.