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Proof by computer
Proof by computer
Proof by computer
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(American Mathematical Society) New computer tools have the potential to revolutionize the practice of mathematics by providing more-reliable proofs of mathematical results than have ever been possible in the history of humankind. These tools, based on the notion of "formal proof," have in recent years been used to provide nearly infallible proofs of many important results. A ground-breaking collection of four articles by leading experts, published today in the Notices of the American MathematicalSociety, explores these new developments.
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Other Articles:
| • | Studies on Fillet Composition of Fresh Water Farmed Labeo rohita in Relation to Body Size, Collected from Government Fish Seed Hatchery Mian Channu Pakistan |
| The present study was carried out to investigate the fillet composition of fresh water farmed Labeo rohita in relation to body size. For this purpose forty-five specimens ranged in total length from 15.6 to 31.5 cm and in weight from 36.82 to 350.17 g were collected from Government Fish Seed Hatchery Mian Channu during November 2001. After the removal of head, scales, fins and viscera, the remaining trunk (processing yield) was cut into fore, mid and hind fillets. Each fillet was dried and powdered for the analysis of dry mass, water mass, ash content, organic content (all on percentage basis). There was a good correlation between water content (%) and other constituents (% ash, % organic mass) of the processing yield. Body mass and total length significantly affect the processing yield and nutrient constituents. Equations were developed to describe the relationships between body constituents and body mass and length. ANOVA was applied to assess the difference among the body composition parameters. Significant differences were found in these fillets, which indicates the quantitative and qualitative nature of fillets for nutritive purposes. | |
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| • | Correlation between nucleotide composition and folding energy of coding sequences with special attention to wobble bases |
| Background: The secondary structure and complexity of mRNA influences its accessibility to regulatory molecules (proteins, micro-RNAs), its stability and its level of expression. The mobile elements of the RNA sequence, the wobble bases, are expected to regulate the formation of structures encompassing coding sequences. Results: The sequence/folding energy (FE) relationship was studied by statistical, bioinformatic methods in 90 CDS containing 26,370 codons. I found that the FE (dG) associated with coding sequences is significant and negative (407 kcal/1000 bases, mean ± S.E.M.) indicating that these sequences are able to form structures. However, the FE has only a small free component, less than 10% of the total. The contribution of the 1st and 3rd codon bases to the FE is larger than the contribution of the 2nd (central) bases. It is possible to achieve a ~4-fold change in FE by altering the wobble bases in synonymous codons. The sequence/FE relationship can be described with a simple algorithm, and the total FE can be predicted solely from the sequence composition of the nucleic acid. The contributions of different synonymous codons to the FE are additive and one codon cannot replace another. The accumulated contributions of synonymous codons of an amino acid to the total folding energy of an mRNA is strongly correlated to the relative amount of that amino acid in the translated protein. Conclusion: Synonymous codons are not interchangable with regard to their role in determining the mRNA FE and the relative amounts of amino acids in the translated protein, even if they are indistinguishable in respect of amino acid coding. | |
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| • | RFT group: Quality Engineer |
| Quality Engineer, RFT group, Dublin, Ireland. Posted on 25 July 2007. | |
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| • | [BOOK REVIEWS] Radiology Business Practice: How to Succeed |
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| • | Digital Stereoscopic Microscope |
| Microscopes are equipment or instruments that are being used to view objects or specimens under study at a closer range, which technically can or cannot be seen through the naked ... | |
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EurekAlert! - Policy and Ethics
By editor@weddingssitereviews.com - Copyright 2008 by the American Association for the Advancement of Science - version: v1.5 build A
By editor@weddingssitereviews.com - Copyright 2008 by the American Association for the Advancement of Science - version: v1.5 build A