This is a linear set of equations in the unknowns { q _ { kj } }.
3.
L is said to be a " linear set " if C consists of exactly one element, and P is finite.
4.
A subset of N ^ n is said to be "'semilinear "'if it is a finite union of linear sets.
5.
If S is any semi-linear set, the language of words whose Parikh vectors are in S is commutatively equivalent to some regular language.
6.
People build an overall and ever shifting impression of a brand through a non-linear set of messages, whether that brand exposure is a million-dollar TV ad, a beer coaster, bumper sticker, or an editorial piece they read on the train.
7.
Instead of offering a linear set of tracks for recording, the TS required the user to record short sequences ( 12 tracks each ) to use as a base for song structure, then chaining them and optionally layering another 12 linear tracks on top of the chained blocks.
8.
Substituting the result e'into e _ 2'and differentiating e'_ 2 with respect to denominator coefficients b \ left ( q _ 1, q _ 2, . . ., q _ n \ right ), the linear set of equations is obtained as
9.
For fluids that are sufficiently dense to be a continuum, do not contain ionized species, and have flow velocities small in relation to the speed of light, the momentum equations for Newtonian fluids are the Navier Stokes equations which is a non-linear set of differential equations that describes the flow of a fluid whose stress depends linearly on flow velocity gradients and pressure.
10.
Most MIDI sequencers presented a song as a linear set of tracks; however, Notator and Vision were pattern-based sequencers : songs were built by recording patterns ( which might represent for example Intro, Verse, Chorus, Middle-8, Outro ) with up to 16 tracks each, then assembling an Arrangement of these patterns, with up to 4 patterns playing simultaneously at any one time in the song.
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