Formal residue

Many combinatorial numbers can be represented by the formal residues of hypergeometric terms. With these representations and the extended Zeilberger algorithm, we generate recurrence relations for summations involving combinatorial sequences such as Stirling numbers and their q -analog. As examples, we give computer proofs of several known identities and derive some new identities. The applicability of this method is also studied.

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The first of these stages is perceptual analysis, which is con- cerned with organization, grouping, symmetry analysis, complex- ity and other perceptual features that are known to influence aesthetic appreciation. In the second stage, the analysis of familiar- ity, prototypicality and meaning is performed, together with the implicit and automatic integration of information with pre-exist- ing memory structures. Processes involved in explicit classification are performed in the third phase, including those related with the style and the content of the stimulus.

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Most fundamentally, the term Hollywood refers to three interrelated aspects of American cinema: the industrial, the institutional, and the formal-aesthetic. As an industry, Hollywood is a vast, integrated com- mercial enterprise with specific business practices and standard operat- ing procedures geared primarily to producing and distributing feature-length films (“Hollywood movies”).

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Whereas standard models of portfolio choice indicate that most households should have equity market exposure, only one-third of U.S. households own stocks or stock mutual funds outside of retirement plans, and only one-half participate in the stock market even when retirement plans are included into the calculation. 2 There are numerous reasons to suspect that one’s decision about whether or not to invest in stocks may be inf luenced by the stock market participation of one’s community by means of social interaction.

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This manual is an effort to assist law enforcement agencies and other computer crime investigators by providing a resource guide compiled from the vast pool of information on the Internet. This manual is not intended to replace any formal training or education. This manual should be used as a supplemental guide to reference too. It was not my intention to compile this manual to provide a specific solution for investigators. This was intended to provide a general overview, which would assist in helping to developing a solution. This solution does not have to be hardware or software based.

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