Sentence examples for multiplication with an from inspiring English sources

New classes of generalized Nevanlinna functions, which under multiplication with an arbitrary fixed symmetric rational function remain generalized Nevanlinna functions, are introduced.

The product of the two one-dimensional GMs is a two-dimensional GM, to which the affine transformation (multiplication with an invertible matrix T and addition of a mean μ) is applied.

In particular, the term order relation must be preserved after multiplication with an arbitrary term.

Therefore, the advection in Fourier space is described by the multiplication with an appropriate phase factor.

A-scan values falling below the fifth percentile of the distribution in our normal reference material were transformed through multiplication with an exponential factor.

Following acquisition, the FIDs were apodized by multiplication with an exponential function equivalent to 1.5-Hz line broadening and baseline-corrected using a first-order polynomial prior to DOSY processing using the DOSY Toolbox software [ 29].

A multiplication with a coefficient provides the multiplicative decrease and a constant increase rate after reduction provides the additive increase property.

Respondents were challenged by long division and multiplication, with a quarter unable to remember how to do the former and 23% the latter.

We can also carry out multiplication with a known plaintext in the encrypted domain.

Multiplication with a number to which only the ciphertext is known can also be accomplished with a simple communication protocol.

Zero-filling to 1024 for F1 and multiplication with a Lorenz-Gaussian window (GB = 0.5, LB = -2) in F2 and multiplication with a sine-bell shifted by π/8 window F1 were performed prior to 2D Fourier transformation.