GEGENBAUER POLYNOMIALS REVISITED A. F. HORADAM University of New England‚ Armidale‚ Australia (Submitted June 1983) 1. INTRODUCTION The Gegenbauer (or ultraspherical) polynomials Cn(x) (A > -%‚ \x\ < 1) are defined by c\(x) = 1‚ c\(x) = 2Xx (1.1) with the recurrence relation nC„{x) = 2x(X + n - 1 ) < ^ - I O 0 - (2X + n - 2)CnA_2(^) (w > 2) . (1.2) Gegenbauer polynomials are related to Tn(x)‚ the Chebyshev polynomials of the first kind‚ and to Un(x)
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births/1‚000 population (2011 est.) Death rate 4.98 deaths/1‚000 population (July 2011 est.) Net migration rate -1.27 migrant(s)/1‚000 population (2011 est.) Urbanization urban population: 49% of total population (2010) rate of urbanization: 2.3% annual rate of change (2010-15 est.) Major cities - population MANILA (capital) 11.449 million; Davao 1.48 million; Cebu City 845‚000; Zamboanga 827‚000 (2009) Sex ratio at birth: 1.05 male(s)/female under 15 years: 1.04 male(s)/female 15-64
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2.4.4. Direct determination of saliva proteins Protein contaminated with nucleic acids absorbed the light at wavelength 280 nm and it absorbs much strongly at wavelength 205 nm when it is free from nucleic acids. The UV-visible spectrophotometer was used in determination of saliva proteins (Figure 2.2). Cold trichloroacetic acid (10 % w/v ) was added to the sample‚ centrifuged for 10 minutes to precipitate protein. The absorbance of a known volume
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Reflective Account Level 5 Diploma in Leadership for Health and Social Care Candidate Name: Unit Title: 519 Develop procedures and practice to respond to concerns and complaints |Reflective Account |Assessor Use Only- | |
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and percent frequency for each class and use a graphing technique to chart your data. What type of chart would you use to present the frequency and percent frequency for this data? Student GPAs: 1.2 3.9 1.9 3.8 2.4 2.7 2.3 2.3 2.6 0.7 3.1 3.7 3.6 2.9 4.0 2.2 2.7 1.2 1.9 0.8 1.8 2.1 0.3 2.4 3.1 3.2 3.2 0.8 3.1 3.6 |GPA |Frequency |Relative |Percent | | | |Freq.
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According to the NAACP‚ between 1980 and 2008‚ the amount of people incarcerated in U.S. prisons have more than quadrupled from 500‚000 to roughly over 2.3 million people. The United States consist of 5% of the world population and have 25% of the world prisoners (NAACP). “Combining the number of people in prison and jail with those under parole or probation supervision‚ 1 in every 31 adults‚ or 3.2 percent of the population is under some form of correctional control” (NAACP). Statistics from 2007
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Procedures 1. Fill up the tank 2. Adjust the Exit height Ze to be 1300mm 2.1 Use bucket‚ scale‚ and timer to get Qm-measuring the volume of water flow to bucket in 20s. 2.2 Meanwhile‚ measure the height of water in piezometric tubes y1‚ y2‚ y3‚ y4‚ y5. 2.3 Assume a friction factor f 2.4 Use f to calculate Ve 2.5 Use Ve to calculate Re 2.6 Use Re‚
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took me several minutes to determine each factor as I was not given a specific way to do it. However‚ in my sophomore year of highschool‚ I was given certain rules and “tricks” to solve equations that must be factored. This has helped me in in section 2.3 of college algebra because I am now able to factor more quickly. Another skill I have acquired prior to this class is completing the square. I learned this concept in algebra 2‚ however‚ it
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will talk about how students spend too much time on Standardized tests. Students take 112 Standardized tests alone from Pre-k to 12th grade. Students take an average of 9 tests a year on Standardized tests‚ not including regular day to day tests. Also 2.3% of the time in classes are on tests. Kids are spending so much time testing‚ that it is an issue with class time. This paragraph has talked about how students
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