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Next, we will prove the positivity of solution by using the inductive method.
As in the previously theorem, the proof is completed by using the inductive method.
Finally, it can be easily verified that Eq. (3.3) satisfies condition (3.2). 'Sufficiency', we will prove that the solutions of system (1.1) satisfy Eq. (3.3) by using the inductive method.
By using the inductive method, we can easily get the following result from (2.6): |x_{n+1}-p| leq maxbiggl{ |x_{0} - p|, frac{|eta f(p) -Tp|}{overline{gamma}-k eta}biggr}.
If there is some α i = 0, then delete the number α i and for the remaining n − 1 number, inequality (3.1) is obvious by using the inductive hypothesis.
By using the inductive method, we can easily get the following result from (13): |x_{n+1}-p| leq maxbiggl{ |x_{0} - p|, frac{|eta f(p) -Tp|}{overline{gamma}-k eta}biggr} +sum_{k = 0}^{n} |e_{k}|, which implies that ({x_{n}}) is bounded.
Similar(53)
Responses were analysed using the inductive thematic analysis procedure described by Hayes [ 19].
Our proposal in this paper is to utilize piezoelectric transducers to realize the high voltage on one of the films: the slider film, by using the transducers as inductive elements that resonate with the electrostatic motor.
It works by using the Qi standard for inductive charging of the Everpurse battery.
As in Thomas and Harden (2008), "going beyond" the content of the original studies was achieved by using the descriptive themes identified in inductive analysis of study findings.
MTL is an approach to inductive transfer that improves generalization by using the domain information contained in the training samples of related tasks as an inductive bias [20].
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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