Sentence examples for and so the function from inspiring English sources

and so the function is quadratic.

We conclude that (delta>0) and so the function (E lambda)) has only a finite number of zeros.

The absolute value of the exponent in the function is thus very small, and so the function can be approximated by 1 - 2ik1h Utilising the assumption σ2 ≫ σ1 and Eq. (8), we may consider ▮k2▮much larger than ▮k1▮.

As a result, under the condition θ ∉ ( − 1, 0 ), 1. when θ ≤ − 1, the function q x and the derivative h θ ′ ( x ) are negative, and so the function h θ ( x ) is strictly decreasing on ( 0, ∞ ) ;   2.

when 0 ≤ θ ≤ 2, the function q x and the derivative h θ ′ ( x ) are positive, and so the function h θ ( x ) is strictly increasing on ( 0, ∞ ) ;   3.

We know that Q K 1 ( p, q ) = Q K 2 ( p, q ) Open image in new window for K2 = inf K1(r),K1(1)) (see [8], Theorem 3.1), and so the function K can be assumed to be bounded.

Thus convergence of a sequence of holomorphic functions in L2(D) implies also compact convergence, and so the limit function is also holomorphic.

Noting that is strictly monotone in, has a unique solution, and so the implicit function is well defined.

The kernel coefficients,, are subject to the constraints: (9) and so the objective function to optimize in and is given by (10) which we optimize via (11) subject to the constraints (5) and (9).

By contrast, the EC50 value was defined with regard to the intracellular concentration of docetaxel in hematopoietic cells in this model, and so the decreased function of MRP2 corresponds to the decrease in EC50 values.

By contrast, in Danforth (1979) employment is an absorbing state and so the conditional value function will be concave.