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In this study the specific energy absorption (SEA) and mean crushing force (MCF) are taken as the objective functions by using mathematical regression analysis.
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We prove (2.10) by using mathematical induction.
We proceed by using mathematical induction.
(6.2). for every by using mathematical induction.
We show this lemma by using mathematical induction.
We shall prove (1) by using mathematical induction.
We will prove the result by using mathematical induction.
By using mathematical concepts, we can draw interesting shapes.
I have created the following drawings by using mathematical formulas.
Neuroscience has quite a number of problems that have been critically advanced by using mathematical models.
This task could be accomplished by using mathematical models (10), a subject for further research (25).
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