Here performance and composition merge when players often stumble upon notes, chords, and rhythms that defy expected patterns and beget entirely new structures.
Each team member's response was built not only upon memory in hindsight, but also upon notes taken throughout the research process.
When it's time for you to get up in front of people and make your pitch, you don't want to have to rely upon notes or a teleprompter to get you through the speech.
In 1676 the Danish astronomer Ole Rømer, upon noting discrepancies between the observed and calculated times of such eclipses, correctly explained them as being due to the difference in the travel time of light when Earth is nearest to Jupiter or farther away from it.
Inequality (2.1) follows from above upon noting that.
where the last inequality follows upon noting the positive semi-definite ordering.
Note also that from (2.20) it follows upon noting (F'>0) that the solution (mathscr{G}) is monotone in r, that is, increasing when (2pi m + z>0) and decreasing when (2pi m + z<0).
end{aligned} (31) Expression (31) can be simply shown by induction upon noting that, due to remark 1), we have φ(ℓ+j)=φ and hence r(ℓ+j)=r and γ(ℓ+j)=γ, for j∈[0,L−ℓ]. .
Proof The 'if' part follows from Theorem 2.2, Corollary 2.3 and Corollary 2.4 upon noting that S H ¯ μ q ( n, p, λ, α ) ⊂ S H μ q ( n, p, λ, α ).
Proof Upon noting that in the stretched coordinate system ϱ, ϑ introduced in the x, y plane, the considered domain turns into the circular annulus of radii a and b, one can readily adopt the usual eigenfunction method [10] in combination with the separation of variables (with respect to r and ϑ).
Proof Upon noting that in the stretched coordinate system ϱ, ϑ introduced in the x, y plane, the considered domain A turns into the circular annulus of radii a and b, one can readily adopt the usual eigenfunction method [11] in combination with the separation of variables (with respect to r and ϑ).
