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We will show two examples that satisfy the above properties first.
To consider some examples that satisfy hypothesis (J6), we observe the following argument which is given in [16].
Two types of optimal training signal examples that satisfy the optimality conditions are presented for practical implementations in MIMO-OFDM systems.
Indeed, while Barwise (1988 , 1989 proves a result showing that the fixed point account implies the hierarchical account and gives examples that satisfy the common knowledge hierarchy but fail to be fixed points, a number of authors who have written after Barwise have given various proofs of the equivalence of the two definitions, as was shown in Proposition 2.18.
Students tend to be overly reliant on examples when exploring mathematical conjectures and often conclude that a universal statement is true on the basis of only checking examples that satisfy the statement (e.g., Healy & Hoyles, 2000; Knuth, Choppin, & Bieda, 2009; Porteous, 1990).
Given a rule r, Laplace accuracy is defined as follows: (1) Laplace accuracy r = N c + 1 N total + m where m is the number of classes and N total is the total number of examples that satisfy the rule's body, among which N c examples belong to the predicted class, C of the rule.
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A typical example that satisfies such requirement is a multi-directional pseudo-dynamic experiment.
Additionally, for any 0<α<2 we describe a related example that satisfies the so-called ψα-condition.
The radar absorbing structure (RAS) is such an example that satisfies both radar absorbing property and structural characteristics.
And an example that satisfies P-property but not weak P-property can be found there.
We now provide an example that satisfies the assumptions of Theorem 3.3.
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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