Orthogonal polynomials

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  • The Final Infinite Interval And Exponential Gegenbauer Function

    1561 Words  | 7 Pages

    have been proposed and investigated for treating these problems. The most common method is the use of polynomials that are orthogonal over unbounded domains, such as the Hermite and Laguerre spectral methods [10, 11, 12, 13]. Guo [14, 15] proposed a method that proceeds by mapping the original problem in an unbounded domain to a problem in a bounded domain, and then using suitable Jacobi polynomials to approximate the resulting problems. Another approach is using the domain truncation method by choosing

  • Essay on Psy 870: Module 3 Problem Set Answers

    799 Words  | 4 Pages

    PSY 870: Module 3 Problem Set Answers Follow Below Link to Download Tutorial https://homeworklance.com/downloads/psy-870-module-3-problem-set-answers/ For More Information Visit Our Website ( https://homeworklance.com/ ) Email us At: Support@homeworklance.com or lancehomework@gmail.com GAF, Consumer Satisfaction, and Type of Clinical Agency (Public or Private) A researcher wants to know if mental health clients of private versus public service agencies differ on Global Assessment

  • The Egyptian And Babylonian Mathematicians

    1257 Words  | 6 Pages

    quadratic formula for solving a quadratic equation. In the eighth century, the great Persian mathematician, Al-Kharizmi, offered a solution to the quadratic equation by completing the square. But solving the cubic equation or finding the zeroes of the polynomials of degree three evaded the great mathematicians. Omar Khayyan, the Islamic poet, astronomer, and mathematician attempted to find a general algebraic solution to the cubic equation but was able to only offer a geometric solution for a specific cubic

  • Power Series Method For Solving Linear Differential Equations

    1628 Words  | 7 Pages

    removed called Frobenius Method) of differential equations. We present a few examples on this method by solving special second order ordinary differential equations. Key words ; Power series, differential equations, Frobenius Method, Lengendre polynomials 1.0 INTRODUCTION 1.1 BACKGROUND OF THE STUDY The attempt to solve physical problems led gradually to Mathematical models involving an equation in which a function and its derivatives play important role. However, the theoretical development

  • The Effect Of Switching Frequency On Switching

    1027 Words  | 5 Pages

    Fig. 10 compares the switching instances between – (i) CSFSVPWM and VSFSVPWM, and (ii) CSFDPWM2 and VSFDPWM2. It also shows the shape of the switching frequency variation for each sector. The following can be noted: - The VSFSVPWM reduces 3 switching instances per cycle compared to CSFSVPWM, a 13.6 % reduction. - The VSFDPWM reduces 2 switching instance per cycle compared to CSFDPWM, a 12.5% reduction. Hence, the proposed variable switching frequency PWM reduces the switching instances within a

  • The Teacher Had Put On Board

    872 Words  | 4 Pages

    “Slightly and squeaky!” The door to the classroom flew open as I burst into the room and sat in my usual seat. This was the day I was going to learn how to do polynomial long division. “Good morning.” The professor said, as she walked into the classroom. Almost every one of the students had at least a pencil and notebook, copying notes that the teacher had put on the board. After writing the notes down, I said to myself, let me try to do one of the problems that the teacher had put on board. Surprisingly

  • Reflection Essay

    760 Words  | 4 Pages

    Patience is the key in accomplishing anything. My most challenging class this year would be my Math Analysis Honors course. My main struggle was fully understanding the curriculum that I avoided my sophomore year, with Algebra 2 Honors. The curriculum was knowing the domain and range of a graph, I assumed that this notion would stay in Algebra 2 and not follow me into my next math course. Starting off the year, the class was simple as it was review of Algebra 2, however days later I am faced with

  • Pain Management Internal Assessment

    1976 Words  | 8 Pages

    Many people around the world have used medication to treat a medical issue, many individuals use medication daily to treat various issues and reasons including but not limited to diseases, disorders, for life, and pain management. Pain is an interesting concept, as the sensation is subjective to each individual, making it difficult to define. Anatomically, pain can be explained in steps: contact, reception, transmission, and receiving. First there is a stimulus; it can be pressure, puncture, a burn

  • The Evolution Of The Topic

    1907 Words  | 8 Pages

    Subject Topic Create a written narrative of the evolution of the topic. Include significant contributions from cultures and individuals. Describe important current applications of the topic that would be of particular interest for students. Number Systems Complex Numbers The earliest reference to complex numbers is from Hero of Alexandria’s work Stereometrica in the 1st century AD, where he contemplates the volume of a frustum of a pyramid. The proper study first came about in the 16th century

  • Niels Abel and Some of His Work

    703 Words  | 3 Pages

    Niels Abel and some of his work Many innovational mathematicians come and go, but only a few remembered for their great accomplishments. Niels Henrik Abel is one of the greatest mathematicians that have influenced modern mathematics, solving and creating theorems, like the Abelian-Ruffini theorem and Abel's theorem, and formulas/equations, like the abel equation, Abel’s inequality. He started discovering and creating these at a young age. Niels Abel was born in Norway, in a neighborhood parish