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The scientific problem can now be stated in the form of the following questions.
Note that, for a (strictly) positive convex function, Jensen's inequality can also be stated in the form (1.4).
These new Green's functions enable us to introduce some new identities, stated in the form of the following lemma.
Stated in the form of an equation, it would read as follows: Economic Responsibilities + Legal responsibilities + Ethical Responsibilities + Philanthropic Responsibilities = Total Corporate Social Responsibility.
In the case that general weights are replaced by a power function, the result can be stated in the form of the following theorem.
Design rules are stated in the form of a predictor of failure initiation and its allowable value in the context of design of mechanical and structural components subjected to cyclic loading.
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The following statement, which we state in the form of proposition, is usually called the Kakutani-Ky Fan-type fixed point theorem.
The main result of this paper can be stated in the following form.
Because these polynomials are homogeneous with respect to the arguments and, they can be stated in the following form: (229).
In fact, you have stated in the explanation form that XXX participants will be recruited.
None of the participants were given compensation or incentives for participation and this was stated in the consent form.
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