some of these tools at work. 5.1 Examples The power series or Taylor series is based on the idea that you can write a general function as an infinite series of powers. The idea of Fourier series is that you can write a function as an infinite series of sines and cosines. You can also use functions other than trigonometric ones‚ but I’ll leave that generalization aside for now. Legendre polynomials are an important example of functions used for such expansions. An example: On the interval 0 < x < L the
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specific time using equipment such as an oscilloscope‚ and using it to look at the SINE wave that is generated‚ and also calculate the RMS voltage from the peak voltage and vice versa. Methods and Materials PU-2000 workstation Dual trace oscilloscopes Fuction generator DMM Frequency counter Set of patch cords Connect the output of the function generator to the vertical input of the oscilloscope‚ set the sine wave to 1000Hz to find the horizontal sweep‚ which was 2msec. Adjust the output
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we measured it when it had the spring had added mass and when it didn’t have added mass. Additional to this‚ we were able to measure the rotational oscillation of a Torsion pendulum that was rotating on its central axis. With this data we created a sine curve to display the oscillating effect which was made possible by using the translational oscillation. After that‚ my partner and I created a histogram that displayed the different lengths of the period of oscillation. This histogram used the Torsion
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Designing a roller-coaster is not easy‚ they have to be thrilling and exciting but not jerky. A lot of work has to be done to design a safe yet breathtaking roller coaster. The engineers have to consider the forces acting on the roller coaster train as they gain momentum and the structural support needed to support these forces. There are different designs of a roller coaster‚ for example‚ a suspended roller coaster‚ in which the track is above the speeding car. There are wooden‚ regular steel‚ steel-flying
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The Law of Tort is a concept that has been evolving through the ages. This ever-dynamic evolution of tort law has been the mater to many principles under which tortuous liability can be demanded. Simultaneously‚ certain other principles are used‚ to counter these claims for compensation. These counter claims‚ or defences are used to evict those innocent citizens from tortious liability who have been unfairly implicated with claims imposed on them. These defences were formulated from time to time
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inputs and outputs. There are several input signals which have been widely used by many other researchers. For example‚ Pseudo Random Binary Sequence (PRBS)‚ sinusoidal‚ multi-sine‚ step‚ continuous step and etcetera. In this study‚ multi-sine‚ continuous step and PRBS are selected as input signals. A function of multi-sine with three different frequencies‚ 0.05Hz‚ 0.2Hz and 1Hz is used as the input signal. The equation is given and shows as below. Since impulse signals are hard to generate and might
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PART 5 : CAUSATION ( Neethling‚ Potgieter‚ Visser: Law of Delict‚ p 159 – 193 • Minister of Police v Skosana 1977 (1) SA 31 (A) • S v Mokgethi en Andere 1990 (1) SA 32 (A) • Meevis v Sheriff‚ Pretoria East 1999 (2) SA 389 (T) • Mukheiber v Raath and Another 1999 (3) SA 1065 (SCA) • Road Accident Fund v Russell 2001 (2) SA 34 (SCA) • Gibson v Berkowitz and Another [1997] 1 All SA 99 (W) • Groenewald v Groenewald [1998] 2 All SA 335 (A) • Minister of Safety & Security v Hamilton
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By: Victor Hui Introduction Leonhard Euler was a ground-breaking Swiss mathematician and physicist from the 1700’s. He made many revolutionary discoveries. However‚ the one that caught my eye was his solution to the Basel Problem in the year 1734. The Basel problem was initially posed by an Italian mathematician by the name of Pietro Mengoli in the early 1640’s. This problem baffled the even the greatest minds at the time. Branching from mathematical analysis‚ the Basel problem involved knowledge
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consists of three sections: Ganita (means mathematics)‚ Kala-kriya (means Time calculations)‚ and Gola (means Sphere). Ganita covers decimal number system‚ algorithms for square and cubic roots‚ geometric measurements‚ the algorithm for Pi‚ tables of sines using Pythagorean Theorem‚ quadratic equations‚ proportions‚ and the solution of linear equations. This discusses the Aryabhata’s method to solve the mathematical problem‚ Kuttaka (means pulverizer) also known as Aryabhata’s algorithm. This algorithm
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A model is a simplified representation of some aspect of the world. In what ways may models help or hinder the research for knowledge? A model by definition is “a schematic description of a system‚ theory‚ or phenomenon that accounts for its known or inferred properties and may be used for further study of its characteristics”(source) that implies that a model is supposed to be a helping hand while searching for knowledge in any subject. Sometimes however models can appear to be quite confusing
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