336 research outputs found

    Investigation into Human Preference between Common and Unambiguous Lexical Substitutions

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    Characters of the generic Hecke algebra of a system of bn-pairs

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    This thesis is concerned vith the construction of the characters of the generic Hecke algebra of a system of BN- pairs of type (W,R). The approach used exploits the connection between these characters and those of the Coxeter group W. Part I of the thesis gives definitions, results and conjectures relevant to calculating the characters of any generic Hecke algebra and Part II applies these results to the problem of calculating the characters of certain generic Hecke algebras. In more detail: Chapter 1 gives basic definitions and describes the connection between the characters of the generic Hecke algebra and those of the Coxeter group W. Chapter 2 divides the problem of calculating the characters into two parts and gives conjectures and results concerning one of these 'parts'. The results given solve this part of the 'problem ( in a non-explicit manner) for some but not all generic Hecke algebras. The last three chapters are all concerned with solving the other 'part' of the problem by an inductive method which uses the connection described in chapter 1. Chapter 3 describes this method ( the 'circle product'). Chapters 4 and 5 apply this method to a particular 'family' of generic Hecke algebras, culminating in an explicit formula (given in theorem 5.3.9) for certain character values. The appendices contain tables of character values of some generic Hecke algebras

    Advancing AI with green practices and adaptable solutions for the future. [Article summary]

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    Despite AI's achievements, how can its limitations be addressed to reduce computational costs, enhance transparency and pioneer eco-friendly practices

    Predicting Supervise Machine Learning Performances for Sentiment Analysis Using Contextual-Based Approaches

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    Investigating the Performance of Data Complexity & Instance Hardness Measures as A Meta-Feature in Overlapping Classes Problem

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    Real-time Event Detection Using Self-Evolving Contextual Analysis (SECA) Approach

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    Unsupervised Temporospatial Neural Architecture for Sensorimotor Map Learning

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    Review of Classification Algorithms with Changing Inter-Class Distances

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