Law of similarity

Evaluating off-design performance is strongly recommended for the purpose of improving the operating reliability of both power recovery sets and processing plants. To do this evaluation, a simulation analysis should be based on velocity diagrams, the law of similarity, and expander performance maps. 

Even if fhe proving reporfs were consistent, there is neither a logical reason why substances that could produce symptoms should cure such symptoms nor evidence from appropriately designed sfudies fhaf the "law of similars" acfually operates. The real way to test whether something works is to test whether it helps sick people. This requires clinical trials in which people who receive the test substance are compared with people who do not. No homeopathic product has ever been proven effective and a vast majority of producfs have never even been clinically tested. 

Tough—Brittle Transition in Cloth Laminates. For cloth specimens notched edgewise transition of fracture mode occurred with a variation of specimen size although the law of similarity held for each region having the same fracture mode. Figure 5 shows this transition for bidirectional cloth specimens at room temperature. With the increase of remain-... 

Homeopathya system of medicine founded by Samuel Hahnemann, which has two main theoretical tenets (1) like cures like (the law of similars) and (2) the more dilute (potentized) the remedy, the more powerful it becomes. 

The material of observations of the present research may be utilised for a control of the Reynolds Law of Similarity in the case of a flow of mercury through cylindrical or rectangular pipes. For from each of the diagrams of which samples are given in figs. 9—18 the variation — at zero field-intensity — of the pressui e drop wdth the... 

The concept that like cures like or the Law of Similars. This could mean that a patient with a fever can be cured by... 

Now we need a relationship between w[t] and h[t]. To find this we can consider the geometry of the triangular face of the tank. From the law of similar triangles we find this ... 

Proponents call homeopathy s defining principle the Law of Similars or like cures like. This holds that substances that cause healthy people to get symptoms of a certain medical condition or disease can cure conditions or... 

Results based on test data show that liquid hydrogen obeys the law of similarity and, in particular, the Fanning friction equation, as do other Newtonian fluids. 

In the Lewis and Gibson statement of the third law, the notion of a perfect crystalline substance , while understandable, strays far from the macroscopic logic of classical thennodynamics and some scientists have been reluctant to place this statement in the same category as the first and second laws of thennodynamics. Fowler and Guggenheim (1939), noting drat the first and second laws both state universal limitations on processes that are experunentally possible, have pointed out that the principle of the unattainability of absolute zero, first enunciated by Nemst (1912) expresses a similar universal limitation ... 

The entropy of mixing of very similar substances, i.e. the ideal solution law, can be derived from the simplest of statistical considerations. It too is a limiting law, of which the most nearly perfect example is the entropy of mixing of two isotopic species. 

By the standard methods of statistical thermodynamics it is possible to derive for certain entropy changes general formulas that cannot be derived from the zeroth, first, and second laws of classical thermodynamics. In particular one can obtain formulae for entropy changes in highly di.sperse systems, for those in very cold systems, and for those associated, with the mixing ofvery similar substances. 

A theoretical basis for the law of corresponding states can be demonstrated for substances with the same intemiolecular potential energy fimction but with different parameters for each substance. Conversely, the experimental verification of the law implies that the underlying intemiolecular potentials are essentially similar in fomi and can be transfomied from substance to substance by scaling the potential energy parameters. The potentials are then said to be confomial. There are two main assumptions in the derivation ... 

The future use of lead may be decided by the resolution of an environmental paradox. Some markets for lead are being phased out because of environmental concerns, eg, the use of tetraethyllead as a gasoline additive. However, a 1990 State of California law and similar laws in nine eastern U.S. states require that 2% of new cars meet 2ero-emission standards in 1998. By 2003 this requirement rises to 10% of new vehicles. Zero emission vehicles are generally accepted to mean electric, ie, battery powered cars, and there is considerable research effort to bring suitable electric vehicles to market by 1998. 

Coulomb (1736—1806) stated the law of repeUency between similarly charged bodies and attraction between oppositely charged bodies, and Faraday (1791—1867) described the laws of electrostatic iaduction. The iaductive principle known as Faraday s ice-pail method is still ia use ia modern measuting equipment. 

Raoult s Law for component j (7 1 and 7 < 1). Compounds of similar type and size, eg, pentane—hexane or methanol—ethanol, tend to behave ideally... 

Starr, 1969 approached this by investigating the "revealed preferences exhibited in society ls the result of trial and error. (Similar to the "efficient market theory" in the stock market.) Stan-conjectured that the risk of death from disease appears to determine a level of acceptable voluntary risk but that society requires a much lower level for involuntary risk. He noted that individuals seem to accept a much higher risk (by about 1000 times) if it is voluntary, e.g., sky-diving or mountain climbing, than if it is imposed, such as electric power or commercial air travel, by a correlating with the perceived benefit. From this study, a "law" of acceptable risk was found concluding that risk acceptability is proportional cube of the benefits. Figure 1.4.4-1 from Starr, 1972 shows these relationships. One aspect of revealed preferences is that these preferences do not necessarily remain constant (Starr et al., 1976). In Starr et al., 1976, it is shown that while nuclear power has the least risk of those activities compared, it also has the least perceived benefit. Clearly the public thinks that... 

---