Sentence examples for transformed under the from inspiring English sources

Hence the necessity for showing how the norming constants are transformed under the transformations given in Theorems 2.1 and 3.1.

All microarray datasets containing values higher than 25 were log transformed, under the assumption this data was non-log-transformed data.

The country was rebuilt and transformed under the U.S.-administered Marshall Plan.

He was again a steady presence the following season, making 33 appearances as Derby's fortunes were transformed under the stewardship of Billy Davies.

Perhaps the best singing of the night came from the chorus, which has been transformed under the direction of Donald Palumbo, its new chorus master.

The Standard was transformed under the editorship of Veronica Wadley from an independent-minded centre-right paper into a rabidly partisan outpost of the Daily Mail.

Since modern humans emerged from the evolutionary brambles of our ancient ancestry, our bodies and minds have been transforming under the pressures of natural and sexual selection.

From this behaviour of the Fourier transform under the action of the group of translations, some of those properties in Fourier analysis which are wonderful for engineering like the formula for the Fourier transform of a derivative follow immediately.

In this section, we show how obeying the non-Dirichlet boundary conditions (3.2), (3.13) transforms under the following mapping: (3.1). to give obeying boundary conditions which depend affinely on the eigenparamter.

If all symmetry operators that leave the operator A invariant are found, then it is possible to classify all eigenstates of operator A in terms of how they transform under the various symmetry operators.

Linear system (7) can be iteratively solved in a phase space very efficiently via discrete sine transform under the conditions max j, k, l | φ 1 j k l n + 1 − φ 1 j k l n | < 10 − 6 and max j, k, l | φ 2 j k l n + 1 − φ 2 j k l n | < 10 − 6. Example 1 Consider the ground state of the BEC with V ( r ) = 1 2 ( x 2 + 2 y 2 + 2 z 2 ).