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Then there exists a natural number (n_{0}) such that for all (ngeqmax { n_{0}, [ ln^{1+chi}h^{-1} ] +1 } ), (chi>0) being a fixed number, max_{overline{D}_{ast}^{h,n}}vert u_{h}-uvert leq ch^{4}.
Theorem 4.3 There exists a natural number n 0 such that for all n ≥ max { n 0, [ ln 1 + ϰ h − 1 ] }, ϰ > 0 being a fixed number, max G ¯ ∗ h, n | u h − u | ≤ c h 4. (4.26).
By analogy to the proof of Lemma 6.2 in [9], it is shown that there exists a natural number n 0, such that for all n ≥ max { n 0, [ ln 1 + ϰ h − 1 ] + 1 }, ϰ > 0 being a fixed number, max j ∈ E | r j h 3 | ≤ c 4 h 4. (4.25).
There is a natural number n 0 such that for all n ≥ max { n 0, [ ln 1 + ϰ h − 1 ] }, ϰ > 0 being a fixed number, the following estimations hold: | U h ( r j, θ j ) − u ( r j, θ j ) | ≤ c 0 h 4 on T ¯ j 3, j ∈ E, (4.27).
There is a natural number (n_{0}) such that for all (ngeqmax { n_{0}, [ ln^{1+chi}h^{-1} ] } ), (chi>0) being a fixed number, the following estimations hold: For (alpha_{j}=1), (pgeq1), bigglvert frac{partial^{p}}{partial x^{p-q}, partial y^{q}} bigl( U_{h}(r_{j},theta _{j} -u(r_{j} -ueta_{j}) bigr_{j},theta_{j}q c_{p}h^{4}quadtextit{on }overline{T}_{j}^{3}.
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More suggestions(15)
being a substantial number
being a fixed endpoint
being a fixed multiple
being a relative number
being a fixed point
being a fixed function
being a negative number
being a fixed percentage
being a transcendental number
being a sizeable number
being a fixed style
being a similar number
being a clear number
being a small number
being a fixed hardware
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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