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Then, it can be shown that is continuous and satisfies (3.61).

It was shown that are continuous on and symmetric with respect to both and, and and.

It can be shown that is convex, closed, and bounded, hence weakly compact.

Moreover, it can be shown that,,, and.

It was shown that and are complete metric spaces (see [7]).

where it can be shown that, and the term can be neglected.

It can be shown that, and the negative elements of and cause artifacts in the extracted TF features.

It can be shown that and providing the lower and upper bounds of θ respectively.

It has been shown that LA and DHLA and NAC inhibit the NFκB pathway [ 54– 54].

Make it absolutely clear what you did and what other people did, for example by using phrases such as "It has previously been shown that... .. and "Here we tested..."...   Summarise, in a sequence broadly similar to that of your Results section, what your findings are, making sure you refer to the techniques you used.

It has since been shown that birds and humans have this gene in common.

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