Explanation-based

This algebra implies that in case of Eq. (111) the only two functions (out of n) that flip sign are and because all in-between functions get their sign flipped twice. In the same way, Eq. (112) implies that all four electronic functions mentioned in the expression, namely, the jth and the (j + 1 )th, the th and the (/c -h 1 )th, all flip sign. In what follows, we give a more detailed explanation based on the mathematical analysis of the Section Vin. 

Offer as complete as possible explanations, based on stmctural and mechanistic concepts, of the following observations. 

By adopting a perspective from the philosophy of science I will attempt to cross levels of complexity from the most elementary chemical explanations based on electron shells to those based on ab initio methods. Such a juxtaposition is seldom contemplated in the chemical literature. Textbooks provide elementary explanations which necessarily distort the full details but allow for a more conceptual or qualitative grasp of the main ideas. Meanwhile the research literature focuses on the minute details of particular methods or particular chemical systems and does not typically examine the kind of explanation that is being provided. To give a satisfactory discussion of explanation in the context of the periodic table we need to consider both elementary and deeper explanations within a common framework. 

They pointed out that the results are consistent with an explanation based on their steric hindrance, although the orbital mixing rule already predicted the deformation of the FMO of 85 to favor the reaction at the syn side [2]. 

Intelligence in Numerical Computing improving Batch Scheduling Algorithms through Explanation-Based Learning... 

First-order horn clause logic is the representation that has been adopted by workers in the field of explanation-based learning (Minton et al., 1990). Hence, using this representation allows us take advantage of the results and algorithms developed in that field to carry out the machine learning task. 

In this section, we will briefly outline the method of explanation-based learning that we use to carry out the synthesis of new control conditions. This method has become well established within the AI community, and for more details, see Minton et al. (1990), Dejong (1990), and Mitchell et al. (1986). 

The following definition of explanation-based learning is taken from Minton et al. (1990). 

So far we have described all the inputs to the explanation-based learning procedure. We must now describe a few of the basic feature of the algorithm itself. 

Dejong, G., and Mooney, R., Explanation-based learning An alternate view. Mach. Learn. 1, 145-176 (1986). 

Mooney, R.J., A General Explanation-Based Learning Mechanism and its Application to Narrative Understanding. Morgan Kaufmann, San Mateo, CA (1990). 

Provide an explanation based on a transition structure for the trends in stereoselectivity revealed by the following data. 

An alternative explanation, based on a spectroscopic study involving an argon matrix, has been advanced to account for the singlet photochemistry of phenyl azide (457).381 The primary photoproduct is believed to be 1-azacyclohepta-l,2,4,6-tetraene (458). A separate but later study suggests that... 

H. Allen, O. Hill, N.I. Hunt, and A.M. Bond, The transient nature of the diffusion controlled component of the electrochemistry of cytochrome c at bare gold electrodes an explanation based on a self-blocking mechanism. J. Electroanal. Chem. 436, 17-25 (1997). 

The second explanation, based on Cardona s (1983) discussion of the local field effect, requires that the dielectric cavity have about the size of a monovacancy. 

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