Sentence examples for note that the embedding from inspiring English sources

Note that the embedding (2.14) holds: (3.2).

vertical if it becomes so after projection to (Delta ^flat ), and note that the embedding (6.22) then defines a natural embedding begin{aligned} lambda ^flat _i:left( Delta ^flat _< Iright) _i rightarrow left( Delta ^flat _+ Iright) _i end{aligned} (6.23 that sends horizontal resp.

Note that the embedding (L^{p}(Omega)hookrightarrow L^{ q-1 p'}(Omega)) is continuous, that is, Vert u Vert _{(q-1)p'} L^{ q-1 p Vert u Vert _{p} quad text{for all } u in L^{p}(Omega), (4.3) where (c_{1}) is a positive constant.

Let (Delta _+^flat = Delta _+ times _Delta Delta ^flat ), and note that the embedding (lambda :Delta rightarrow Delta _+) extends to an embedding begin{aligned} lambda ^flat :Delta ^flat rightarrow Delta _+^flat end{aligned} (6.22 that adds a new initial element to an ordinal [n], but keeps the same distinguished element l.

It is interesting to note that the embedded PTFE particles were still stable even when heat treated at 450 °C, probably owing to the Ni P metal matrix package effect.

The official Twitter account basically has everything of note that happened embedded either as gifs or, in the case of Shawn Mendes' performance and various other memorable moments, entire videos.

Note that miRNAs embedded in protein gene regions but on the opposite strand to the host gene's were assigned to the so-called 'intergenic' group.

Note that word "embedded".

Moreover, considering the operator (J: Xto X^) given by langle Ju, vrangle= -int_{Omega} u v,dx quad text{for } u,v in X, it can be seen that J is compact, by noting that the embedding (i: L^{p}(Omega)hookrightarrow L^{p'}(Omega)) is continuous and (J=-I^circ icirc I).

We note that the watermark embedded in a higher decomposition level (low frequency band) has better resistance against distortions.

(Note that the screenshot embedded at the top of the article depicts the Windows Live Messenger application on Facebook).