1. So many mathematical proofs are like that.

2. Poverty is a mathematical proof of the fact that mankind is a big failure! Mehmet Murat ildan 

3. A mathematical proof about some property of a triangle does not, Gassendi thinks, give demonstrative understanding of its cause.

4. In the absence of mathematical proofs of security, nothing builds confidence in a cryptosystem like sustained attempts to crack it.

5. Mathematical proof of the method is given.

6. Suppose we go through a mathematical proof.

7. Mathematical proof of the construction method can generally be divided into two kinds, a kind of construction method for direct sex, one kind is indirect method of construction.

8. Mathematical proof is the main approach to form and develop new conceptions. Renew knowledge depends on proof level, thus developing mathematical is the key to increase knowledge.

9. A mathematical proof and the verification of a hypothesis are quite different in process and outcome from the support of a theory with evidence that we understand how nature is really operating.

10. But until someone provides a sound mathematical proof, the validity of the assumption remains open to question.

11. The election results contain a mathematical proof of the tally that cannot be "faked" even with the use of powerful computers.

12. Unlike a mathematical proof, a scientific theory is empirical, and is always open to falsification, if new evidence is presented.

13. where other methods — mathematical proof, archival research, philosophical reasoning — are more relevant it calls for them instead.

14. The research on the educational value of mathematical proof had received an increasing interest along with the development of mathematical course reform.

15. Combining the computer algorithm with mathematical proof, two classes of graph labelings: antimagic labeling and radio labeling are researched in this thesis.http://

16. Finally the article puts forward software test frame with practical significance from engineering point of view, and gives a mathematical proof for.

17. More and more attention has been received on the research of the training of students' ability in junior mathematical proof along with the development of junior mathematical course reform.

18. If we were working in the context of a formal mathematical proof.

19. The Hindus and Arabs were aware of the totally new concept of mathematical proof promulgated by the Greeks.

20. Deductive inference and non - deductive inference are often used in mathematical proof.

21. Graham's number is the largest number that has been used in a serious mathematical proof.

22. Comparisons between the interval analysis and the probability perturbation finite element method are made with respect to the mathematical proof and numerical examples, and the advant.

23. Effective use of a theorem prover requires a solid understanding of the internal operations of the tool and a familiarity with the mathematical proof process.