Decreasing best responses

Not always does the lowest particle size provide the best results. The decreased detector response obtained from a particle size < 36 pm relative to < 50 and < 77 pm was ascribed to the increased co-extraction of interferents with the anaiyte for sediments [16] or to the coagulation of particles in the case of plant material [17],... 

The expression says that the slopes of the best response functions are negative, which implies an intuitive result that each player s best response is monotoni-cally decreasing in the other player s strategy. Figure 2.2 presents this result for the symmetric newsvendor game. The equilibrium is located on the intersection of the best responses and we also see that the best responses are, indeed, decreasing. 

Schrade et al. (1959) found that the injection of 750 mg of the preparation results within hours in effects similar to those obtained during the course of weeks with administration of polyunsaturated fatty acids by mouth. There was a fall in total serum lipids of as much as 500 mg per 100 ml within a few hours, accompanied by a visible decrease in turbidity. The best response was observed with high initial lipid concentrations. Blood ketones were elevated during this period of time. Juchems et al. (1965) reported similar results. We were unable to produce significant clearing with this material. Further studies will be necessary in the different hyperlipemic syndromes. 

The sinc fiinction describes the best possible case, with often a much stronger frequency dependence of power output delivered at the probe-head. (It should be noted here that other excitation schemes are possible such as adiabatic passage [9] and stochastic excitation [fO] but these are only infrequently applied.) The excitation/recording of the NMR signal is further complicated as the pulse is then fed into the probe circuit which itself has a frequency response. As a result, a broad line will not only experience non-unifonn irradiation but also the intensity detected per spin at different frequency offsets will depend on this probe response, which depends on the quality factor (0. The quality factor is a measure of the sharpness of the resonance of the probe circuit and one definition is the resonance frequency/haltwidth of the resonance response of the circuit (also = a L/R where L is the inductance and R is the probe resistance). Flence, the width of the frequency response decreases as Q increases so that, typically, for a 2 of 100, the haltwidth of the frequency response at 100 MFIz is about 1 MFIz. Flence, direct FT-piilse observation of broad spectral lines becomes impractical with pulse teclmiques for linewidths greater than 200 kFIz. For a great majority of... 

The Raney nickel is a very efficient catalyst for the dehydrogenation of 2-butanol into butanone (Scheme 45) with a good selectivity (90%). But, for industrial applications selectivities as high as 99% are required. This can be achieved by poisoning some sites by reaction with Bu4Sn (the best results are obtained with a Sn/Ni ratio of 0.02), which probably occurs first on the sites responsible for the side reactions. The consequence is a slight decrease of the catalytic activity and an increase of the selectivity in 2-butanone which can reach 99%. This catalyst, developed by IFF, has been used commercially in Japan for several years [180]. 

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