The chapter also contains discussions of the kinds of consecution or consequence, problems of inference connected with the referents of terms used in consecutive sentences, and also on how to contradict a conditional sentence.
As a consequence, problem (P2) is generally non-convex and hence challenging to solve.
Thus, Theorem 3.3 applies and, in consequence, problem (1.1) has at least one solution.
With (a<1/omegaapprox0.835006), the assumptions of Theorem 3.6 are satisfied, and in consequence problem (3.8) with (f t, x)) given by (3.10) has a solution on ([1, e]).
Thus all the conditions of Lemma 2.1 are satisfied, and hence the operator equation (x=PxQx + Rx) has a solution in S. In consequence, problem (1) has a solution on J.
Thus all the conditions of Lemma 3.1 are satisfied and hence the operator equation (x=mathcal{A}xmathcal {B}x+mathcal{C}x) has a solution in S. In consequence, problem (1.1) has a solution on J.
As in Algorithm 4, the construction of the similarity matrix SIM takes into account the logical consequence problem in (mathcal {PR_{textit {ALC}}}) (lines 8 14) and has polynomial space complexity.
"We believe there are serious potential health consequences" to problems with circadian rhythm, Dr. Colwell says.
Without treatment, it can have significant consequences, including problems in school and an increased risk of accidents, injury and substance abuse.
To analyze the individual and specific consequences and problems, qualitative data could have been more appropriate.
Questions 1 3 measured alcohol consumption, questions 4 6 asked about drinking behaviour and dependence, and questions 7 8 asked about consequences or problems related to alcohol use, all in the last six months.Questions 9 10 ask about lifetime consequences of alcohol use.
