Sentence examples for interchanged by from inspiring English sources

Through her watchful eyes, Mr. Shakar takes the reader into a realm of glib but revealing deductions about how freedom and consumerism can be shrewdly interchanged by marketing experts, and how fashion fantasies can supplant reality in the public consciousness.

As mutational events occurred leading to greater degrees of substrate specificity, the dimeric phosphagen kinases became evolutionary separated such that the substrate specificity could not be interchanged by a small number of mutations.

However, this solution can easily be interchanged by creating or configuring different drivers with other existing abstractions, for example Hibernate OGM [23] or Impetus Kundera [24] as data access middleware.

It can be noted, from simple arguments, that hh- or lh-mass character of the valence-band ground-state can be interchanged by weakening the spatial confinement strength in the direction [ 0 1 ¯ 1 ].

Furthermore, the order of integration in the last line of (4.16) can be interchanged by Fubini's theorem, and one obtains begin{aligned} I=lim _{Rrightarrow infty } int _0^R left( int _0^infty f(t) cos (vt) dtright) v^{s-1},dv, end{aligned}which proves the desired interchange of integrals in (4.15).

In the real and complex numbers, addition and multiplication can be interchanged by the exponential function: :ea + b = ea eb.

The second part of the lemma can easily be found by interchanging X by PX in the above equation.

In fact, we provide another result that recovers a known characterization of duality by the property of order reversing, and up to a mild condition, also a characterization of duality by interchanging sections by projections.

If we interchange X by PX in (i) we get (ii) by using Theorem 2.1 and Lemma 3.1(i).

Interchanging X by PX in (3.3), we get the last result of the lemma.

Also, if we interchange Z by PZ in (22), then we have (g(A_{FPZ}{X}, Y)=0), i.e., (A_{FPZ}{X}) also has no components (TM_T).