Sentence examples for mathematical remarks from inspiring English sources

The properties of the model are derived from the axiomatic biologically motivated assumptions A1 A4 (and are independent of the details of the explicit model Eq. (1), see Mathematical Remarks).

"Nothing pleases me so much," Alberti was to have a figure in one of his dialogues remark, "as mathematical investigations and demonstrations, especially when I can turn them to some useful practice as Battista here did, who drew from mathematics the principles of painting [perspective] and also his amazing propositions on the moving of weights".

But before he can deliver his remarks on "The Mathematical Inevitability of a One-World Economy," a bomb charged with rocket fuel delivers a surgical strike on his hotel room.

According to (39), (43) and applying (15) in Remark 1 and mathematical induction to m, we complete the proof.

Remark 2. From mathematical point of view, a discussion about the interpolation technique can be done.

On a mathematical note we want to remark that the network does not need to be disconnected to result in a non-ergodic Markov chain.

On a mathematical note we want to remark that the fact that rank(D i ) and rank(d out ) respectively rank(d in ) are correlated, as shown in the beginning of the results section, does not imply that our measure approximates or is even identical to the ranking of the degrees.

Robert Harley (1828 1910), Boole's first biographer, discussed this information in a paper entitled "Remarks on Boole's Mathematical Analysis of Logic" (1867).

As a consequence, one can find philosophically pregnant remarks sprinkled through their mathematical works, as exemplified by Dedekind (1872) and (1888a).

And since GMunk also links to the mathematical Menger sponge in his end remarks, maybe we can also look forward to a cubic upgrade for Mr. Squarepants.  .

In both reports, they remarked on the usefulness of mathematical models for examining different pandemic scenarios and the effectiveness of strategies, such as vaccination, in mitigating outbreaks [ 9, 82].