Sentence examples for analyzing the statement from inspiring English sources
(d) Analyzing the statement of Theorem 6 (the case (29) of a double real root), we obtain the following subcases: .
(a) Analyzing the statement of Theorem 2 (the case (26) of two real distinct roots), we obtain the following subcases: .
(c) Analyzing the statement of Theorem 4 and Theorem 5 (the case (28) of a double real root), we obtain the following subcases: .
Analyzing the statement of Theorem 4 and Theorem 5 (the case (28) of a double real root), we obtain the following subcases: (c1) If b 21 ∗ = 0, b 12 ∗ ≠ 0, then the dimension of the space of solutions on Z m + 2 ∞ equals m + 2 since the last formula in (61) uses only m + 2 arbitrary parameters φ 1 ∗ ( 0 ), φ 2 ∗ ( − m ), φ 2 ∗ ( − m + 1 ), …, φ 2 ∗ ( 0 ).
However, besides data-driven FTE approaches (e.g., Gardner et al. 2012, who are valuing a beverage company by analyzing the statement of cash flows and the income statement without any optimization), there is no model-driven FTE approach in the literature that allows for the coordination with supply chain planning so as to determine maximal payouts to the investor, to the best of our knowledge.
Analyzing the statement of Theorem 2 (the case (26) of two real distinct roots), we obtain the following subcases: (a1) If b 11 ∗ = b 22 ∗ = b 21 ∗ = 0, b 12 ∗ ≠ 0, then the dimension of the space of solutions on Z m + 2 ∞ equals m + 2 since the last formula in (40) uses only m + 2 arbitrary parameters φ 1 ∗ ( 0 ), φ 2 ∗ ( − m ), φ 2 ∗ ( − m + 1 ), …, φ 2 ∗ ( 0 ).
When analyzing the statements most significantly associated with increased willingness to respond, several interesting insights become readily apparent.
For example, they could analyze the statement "Polar bears turned white during their evolution in order to camouflage in the snow".
The Oxford interpretation (mentioned above § 6.1) has the advantage of keeping a single meaning for heteron but calls for universal quantification over properties: to analyze the statement "Theaetetus is not flying," one must show that flying is different from everything that Theaetetus is a man, snub-nosed, sitting, and so on.
"The 2000 campaign so far is more positive than 1996 was," said Mr. Benoit, who analyzed the statements in 61 commercials that have run through Saturday.
