Exact(5)
We prove Theorem 4.10 by using the following bounds on the repetitive function.
By definition, the repetitive function is monotonically increasing, and so (R(2^{j-1} - 1) le R(n) le R(2^{j} - 1)).
The repetitive function for an l-Grigorchuk subshift satisfies the following inequalities, for (j in mathbb {N}), begin{aligned} 2^{l_{N j) + 1} + l_{N j)} - q(j) + j + 1} le Rleft( 2^{j + 1} - 1 right) le 2^{l_{N j) + 1} + l_{N j)} - q(j) + j + 2}.
We would also like to mention here that an exact formula for the repetitive function of an l-Grigorchuk subshift has been obtained, independently, in [32], and hence they have also obtained a criterion similar to ours for an l-Grigorchuk subshift to be (alpha )-repetitive.
The repetitive function (R :mathbb {N} rightarrow mathbb {N}) of a subshift Y assigns to r the smallest (r') such that any element of ({mathcal {L}}(Y)) with length (r') contains (as factors) all elements of ({mathcal {L}}(Y)) with length r.
Similar(55)
Many other mechanical devices built during the 19th century also performed repetitive functions more or less automatically, but few had any application to computing.
We develop a generic data acquisition and transmission framework by modularizing the repetitive functions.
That makes GPUs perfect for operations that require large amounts of repetitive functions — like generating the billions of polygons used to create 3D graphics in gaming environments.
UiPath, a startup out of Romania that builds apps for businesses to automate repetitive functions like processing insurance claims, or going through employee onboarding, has raised $30 million in a Series A round of funding led by Accel.
Turn off the practical humdrum switch in your brain, comforted by numbers and lists and repetitive functions that can cause carpal tunnel brain syndrome.
The pipet tips containing the protein A and protein A/G monolithic micro-columns were placed on the Finnpipette® Novus i multichannel, which is an automated device having a repetitive cycling function.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com