Sentence examples for let us then define from inspiring English sources

Let us then define the following equivalent IDFT output: S ~ mod ( m r − m b 2 N ss, P t ) P t [ l ] ≐ IDFT m r − m b 2 N ss, P t ( s ~ [ l ] ) (26) = ∑ n = 0 N − 1 s ~ n [ l ] e j 2 πn m r − m b 2 N ss P t (27) = ∑ n = 0 N − 1 s n [ l ] e j 2 πn m b 2 N ss P t e j 2 πn m r − m b 2 N ss P t = IDFT m r, P t ( s [ l ] ), (28).

Let us then define a statistic, t F I T R (i ) (D a t a   from   t i − 1   to   t i ) = Y 0, i 1 R ∑ h = 1 R Y h, i 2 (3) = Δ x 0, i 1 R ∑ h = 1 R Δ x h, i 2. (4)The statistic t F I T R (i ) is independent of N i, as seen in (4), because N i in (3) is canceled out.

Let us then isolate the challenge by defining the ergodic limit span Y : = y ∃ p ∈ P for which y = E f 1 h, p ( h ).

Let us define ; then the eigenvalues of are.

Let us define and ; then (A.9).

Let us fix and define (3.15).

Then, let us define Σ=supp(s).

Then let us define the following costs Open image in new window for every variable qii′jj′: Open image in new window, if qii′jj′ is a green variable; Open image in new window, otherwise.

Then, let us define a renewal event as the following occurrence: the system stops transmitting the current packet because either an ACK is received or because the PR limit L is reached.

If there exist no such outgoing reactions then let us define ϕ(i) = i.

Let us additionally define.