Mysteries

Since indistinguishability is a necessary property of exact wavefiinctions, it is reasonable to impose the same constraint on the approximate wavefiinctions ( ) fonned from products of single-particle solutions. Flowever, if two or more of the Xj the product are different, it is necessary to fonn linear combinations if the condition P. i = vj/ is to be met. An additional consequence of indistinguishability is that the h. operators corresponding to identical particles must also be identical and therefore have precisely the same eigenfiinctions. It should be noted that there is nothing mysterious about this perfectly reasonable restriction placed on the mathematical fonn of wavefiinctions. 

Stanley H E 1999 Unsolved mysteries of water In Its liquid and glass states MRS Bull. May 22-30... 

The enormous usefulness of mathematics in the natural sciences is something bordering on the mysterious and there is no rational explanation for... this uncanny usefulness of mathematical concepts... 

The HyperChem philosophy associated with back end computations is one which is in tended to in still eon fiden ce. as far as is possible. in the scientific results emanating from HyperChem. This ph ilosoph y is on e of open n ess — open n ess aboii t the prod net. the calculations being performed, the science embodied in the product, etc. Apart from protecting the proprietary code associated with a commercial product. Hypercube wushes to document and describe as fully as is possible tb e calculation s th at HypcrCb cm performs. There should be no mystery about the scientific results obtained with HyperChem. 

If the chemist wants to know whether her final product is bromo-safrole and not just a bunch of unreacted safrole there is a simple little test she can do. Safrole is soluble (will dissolve in) cold concentrated sulfuric acid. But bromosafrole is insoluble in it. So the chemist can take a shot glass full of straight-from-the-bottle 96% H2SO4 and place it in the freezer until it s ice cold. Then she takes it out and drops a few drops of mystery product into it. If the oil dissolves then the stuff is unreacted safrole. If the oil drops to the bottom and does not dissolve it s the goods. 

Aspinn possesses a number of properties that make it an often recommended drug It is an analgesic effective m relieving headache pain It is also an antiinflammatory agent providing some relief from the swelling associated with arthritis and minor injuries Aspinn IS an antipyretic compound that is it reduces fever How aspmn does all this was once a mystery but is now better understood and will be discussed m Section 26 6 Each year more than 40 million lb of aspirin is produced m the United States a rate equal to 300 tablets per year for every man woman and child... 

Rose. Of all the natural oils, rose is probably the most desired material used in the fine fragrance industry. For years chemists have tried to unravel the mystery of the odor-donating components of this high priced natural material. Simple glc analysis shows that nine components constitute nearly 89% of the total volatiles of rose otto (9) (see Table 2). 

In the past century, the brewing industry has been using scientific research in order to carry out brewing with increased proficiency and confidence. Louis Pasteur of Erance (4) and Emil Chr. Hansen of Denmark did much to elucidate the mysteries of fermentation. 

W. G. Bigelow, Mysterious Heparin, McGraw-HiU, Ryerson, Toronto, Canada, 1990, pp. 1—205. 

Introduction The enchanting flame has held a special mystery and charm the world over for thousands of years. According to Greek myth, Prometheus the Titan stole fire from the heavens and gave it to mortals—an act for which he was swiftly punished. Early people made use of it anyway. Soon the ancients came to regard fire as one of the basic elements of the world. It has since become the famihar sign of the hearth and the mark of youth and blood—as well as the object of intense curiosity and scientific investigation. 

Whenever you have to report on the structure of an alloy - because it is a possible design choice, or because it has mysteriously failed in service - the first thing you should do is reach for its phase diagram. It tells you what, at equilibrium, the constitution of the alloy should be. The real constitution may not be the equilibrium one, but the equilibrium constitution gives a base line from which other non-equilibrium constitutions can be inferred. 

This volume thus presents a current and comprehensive account of computational methods and their application to biological macromolecules. We hope that it will serve as a useful tool to guide future investigations of proteins, nucleic acids, and biological membranes, so that the mysteries of biological molecules can continue to be revealed. 

The collapse of the unfolded state to generate the molten globule embodies the main mystery of protein folding. What is the driving force behind the choice of native tertiary fold from a randomly oriented polypeptide chain ... 

The sequence just outlined provides a salutary lesson in the nature of explanation in materials science. At first the process was a pure mystery. Then the relationship to the shape of the solid-solubility curve was uncovered that was a partial explanation. Next it was found that the microstructural process that leads to age-hardening involves a succession of intermediate phases, none of them in equilibrium (a very common situation in materials science as we now know). An understanding of how these intermediate phases interact with dislocations was a further stage in explanation. Then came an nnderstanding of the shape of the GP zones (planar in some alloys, globniar in others). Next, the kinetics of the hardening needed to be... 

The whole of polymer science is constructed around a battery of concepts which are largely distinct from those familiar in other families of materials, metals in particular. This is the reason why I invited an eminent polymer scientist who was originally a physical metallurgist to write, for a textbook of physical metallurgy edited by me, a chapter under the title A metallurgist s guide to polymers (Windle 1996). The objective was to remove some of the mystery surrounding polymer science in the eyes of other kinds of materials scientists. 

There are two requirements for goals the one mentioned above and that specified in clause 4.1.4 under Business plans. Quite why goals are addressed twice is a mystery, but clearly one needs to specify goals before one can start to produce a business plan. However it is not uncommon to find business plans comprising nothing else but goals and objectives, with no substance at all on how these goals and objectives are to be accomplished. 

Quite why this requirements was necessary is a mystery as it duplicates that given in clause 4.18.1. However, in case anyone is in any doubt that the design team has to be qualified, this requirement draws attention to it so that suppliers will need a process in place to ensure unqualified designers are precluded and that auditors will check that designers are qualified. 

Analysis of carbon compounds—even amino acids—from extraterrestrial sources might provide deeper insights into this mystery. John Cronin and Sandra Pizzarello have examined the enantiomeric distribution of unusual amino acids obtained from the Murchison meteorite, which struck the earth on September 28, 1969, near Murchison, Australia. (By selecting unusual amino... 

---