Division (mathematics)

About: Division (mathematics) is a research topic. Over the lifetime, 12717 publications have been published within this topic receiving 87814 citations.

Method of playing a mathematical game

Abstract: A method of playing a mathematical game to calculate a target value includes generating the target value randomly, generating a plurality of calculating numbers to be used to calculate the target value, and calculating, by a first player, an initial solution that is equal to the target value, by combining the calculating numbers with any combination of a plurality of mathematical operations in any order. The calculating numbers can also be generated randomly and the plurality of mathematical operations includes addition, subtraction, multiplication, division, powers and roots. If the first player fails to attain the initial solution equal to the target value, then an alternate solution is attained by the first player that approximates the target value. The second player then uses the same previously generated calculating numbers, with a second different combination of the plurality of mathematical operations in any order, to calculate a second solution that is equal to the target value, or more closely approximates the target value than the first player. The game continues until the target value is attained, or a final value is attained that most closely approximates the target value.

30-ns 55-b shared radix 2 division and square root using a self-timed circuit

Abstract: A shared radix 2 division and square root implementation using a self-timed circuit is presented. The same execution time for division and square root is achieved by using an on-the-fly digit decoding and a root multiple generation technique. Most of the hardware is shared, and only several multiplexers are required to exchange a divisor multiple and a root multiple. Moreover, quotient selection logic is accelerated by a new algorithm using a 3-b carry propagation adder. The implementation of the shared division and square root unit is realized by assuming 0.3 /spl mu/m CMOS technology. The wiring capacitance and other parasitic parameters are taken into account. The execution time of floating point 55-b full mantissa division and square root is expected to be less than 30 ns in the worst case of an input vector determined by an intensive circuit simulation. >

Division of matrimonial property in Australia

Abstract: The Australian Institute of Family Studies is committed to the creation and dissemination of research-based information on family functioning and wellbeing. Views expressed in its publications are those of individual authors and may not reflect Institute policy or the opinions of the Editor of the Institute's Board of Management. Contents List of tables vi List of figures vi Acknowledgments vii Abstract viii Introduction 1 Legal framework 1 Current reform agenda 3 The changing context 4 The study 5 Research questions 5 Analytic approach 6 Methods 6 Sample 6 Demographic profile 7 Survey content 8 Methodological problems and conceptual issues 8 Question 1: What is the nature and value of assets on divorce? 8 Measures 9 Findings 10 Type of assets owned 10 Value of assets owned 11 Summary 13 Question 2: What share of property do women and men receive? 13 Measures 13 Findings 13 Percentage share of property received 14 Sources of variation 14 Relative value of share received 16 Summary 18 Question 3: What factors are associated with the division of property? 19 Measures 19 Contribution 19 Section 75(2) factors 20 Relationship context and other factors 20 Analytic procedure 20 Findings 21 Contribution 21 Section 75(2) factors 23 Relationship context and other factors 26 Final model 27 Summary 27 Question 4: What difference would equal shares of the matrimonial property make? 27 Measures 27 Findings 28 Percentage share of property received 28 Dollar share of property received 29 Summary 30 Summary of findings 30 Nature and value of the assets on divorce 30 Shares of property at distribution 31 Factors of influence 31 Impact of equal share 31 General discussion 31 Financial contributions count 32 Children first 33 Financial circumstances at separation 34 Conclusion 35 References 36 Cases 37 Appendix A: Demographic profiles of divorced respondents 38 Appendix B: Factors related to the share of property received by the wife: Significant results from the analyses of variance with multiple classification analysis 39 List of tables Table 1.1 Combined assets and liabilities of couple: percentage of respondents who reported owning assets and liabilities of different types at separation 10 Table 1.2 Percentage of respondents who reported owning assets and liabilities of different types by level of asset wealth 11 Table 1.3 Median net value of assets and liabilities 11 Table 1.4 Median net value of assets and liabilities by asset wealth 12 Table 3.1 Mean percentage share going to …