Harmonic Series Investigation This investigation will examine some aspects of Harmonic Series’. The name harmonic series come from overtones or harmonics in music. This is because the wavelengths in the overtones on a vibrating string are ½, ⅓. ¼ etc. just like the terms in the harmonic series. However, this investigation will mainly focus on testing for convergence or divergence on the harmonic series, as well as other variations of the series rather than the physics behind the numbers. The numbers
fact of human experience and knowledge. Motion is everywhere and we causes existence to happen. The first way is formulated as follows: There is motion in the world and this motion is caused by something else that moves. There cannot be an infinite series of movers so there must be a first mover and that first mover is God. The first step to the solution is understanding what is meant by motion. Klubertnaz and Holloway say that by motion or change we understand a transition from potency to act, the
Big O notation or Big Oh notation, and also Landau notation or asymptotic notation, is a mathematical notation used to describe the asymptotic behavior of functions. (Sestoft, p. 40) Its purpose is to characterize a function's behavior for very large (or very small) inputs in a simple but rigorous way that enables comparison to other functions. More precisely, the symbol O is used to describe an asymptotic upper bound for the magnitude of a function in terms of another, usually simpler, function
2014 Date: March 31st, 2014 Word Count: 2681 Achilles and the Tortoise is one of the many mathematical and philosophical paradoxes that were expressed by Zeno of Elea. His purpose was to present the idea that motion is nothing but an illusion. Many solutions have been offered as an explanation to these paradoxes for many years now. Some of these solutions include the factor of time, arguing that a mathematical result can be obtained when a certain amount of time is set for the race. However, many others
Liber abaci by Leonardo Fibonacci (Leonardo Pisano) Leonardo Pisano was the first great mathematician of medieval Christian Europe. He played an important role in reviving ancient mathematics and made great contributions of his own. After his death in 1240, Leonardo Pisano became known as Leonardo Fibonacci. Leonardo Fibonacci was born in Pisa in about 1180, the son of a member of the government of the Republic of Pisa. When he was 12 years old, his father was made administer of Pisa's trading
Spring Constant of Springs in Series and Parallel Planning The aim of this investigation is to examine the effect on the spring constant placing 2 identical springs in parallel and series combination has and how the resultant spring constants of the parallel and series spring sets compare to that of a lone spring with identical spring constant. Hypothesis ---------- Hooke's Law states that "The magnitude of the spring constant (k) is equal to the stretching force applied (F)
have transformed the way many mathematicians, philosophers and even computer scientists have thought about mathematics. Although throughout the entirety of his work, he is neither concise nor always clear; it is obvious Gödel's theorems unearth a series of restrictions of an axiomatic and mechanical view of mathematics. He is understood to claim that any complete axiomatic system cannot be consistent. His theorems changed the understanding of various fields of philosophy, particularly to the philosophy
" 9 December 2013. . Article. 9 December 2013. O'Connor, J J and EF Robertson. "Leonhard Euler." September 1998. http://www-history.mcs.st-and.ac.uk/Biographies/Euler.html. Biography. 9 February 2014. Patterson, Simon. "The Euler International Mathematical Institute." n.d. http://www.pdmi.ras.ru/EIMI/EulerBio.html. Article. 8 February 2014. Stocksill, John. "Leonhard Euler (Pronounced "Oiler") 1707-1783." 2000. . Article. 10 December 2013.
all the evidence left at the crime scene and work backwards to deduce what happened and who did it”(Budd1). In order for the officer to find out how fast the car was going at the scene he needs to solve an inverse problem. “Inverse problems are mathematical detective problems. An example of an inverse problem is trying to find the shape of an object only knowing its shadows ”(Budd1). In addition, a day on the job of being a cop. There is a car accident and the officer job is to figure out if the car
One of the many books I have read about running a construction business and how to perform and create successful financial sheets to make sure your business is doing well is through a book I read this semester called, A Simple Guide to Turning a Profit as a Contractor, by Melanie Hodgdon and Leslie Shiner. Some background about the book is about a man who owns a residential construction remodeling business who is not doing financially well as managing and keeping track of the jobs with old school
In the field of art, artists always use techniques and methods to make their work better. The ‘Rule of Thirds’ and The ‘Golden Ratio’ are amongst the most important techniques in artwork. The ‘Golden Ratio’ is an ancient mathematical method. Its founder is the ancient Greek Pythagoras. (Richard Fitzpatrick (translator) ,2007. Euclid's Elements of Geometry.) The ‘Golden Ratio’ was first mentioned 2300 years ago, in Euclid's "Elements" .It was defined as: a line segment is divided into two
popular Harry Potter series came under heavy fire. She was accused of stealing another female author’s ideas. It seems in the early 80’s this author published books about the character Larry Potter. Her character names were the same as those in the J. K. Rowling’s series. The differences between the characters in the two series were what the characters actually were. Nimbus is a name used in both series. Nimbus in the Harry Potter series is a broom, however in the other author’s series Nimbus was an actual
and England. The Ashes are a series of cricket test matches between Australia and England. The first Ashes test ever played was on March 15th 1877 in Australia. Since then Ashes tests between Australia and England have flourished numbering a series approximately every three years. The overall Ashes results are in favor of Australia, while since 1989 the Ashes series have all been won by Australia. The 1920’s Ashes saw a more even event with England winning two series, Australia three. Although Australia
capable of creating lives in his books like no other author from past or present. He has created a fictional world inside of his Alex Cross series, where many fans of his like to live. With each new book he can fill a mind with unbelievable detail and imagery. A small two book series, nicknamed the “bird books�, blew away many critics. With this mini-series he ventures into biotechnology and the worlds in its view on longevity. He’s known for venturing off the normal path of writing. He goes
Metal Reactions The problem: The problem that I will investigate is how to use enthalpy changes of metal reactions to experimentally test the reactivity series of common metals. Therefore the area that I am looking at is reactions involving metals and the heat energy that is evolved when these take place. In brief the reactivity series of metals is a list in which metals are ranked according to their reactivity, from the most reactive metals (such as Pottassium) at the top to Gold the least
Analysis of Armistead Maupin's Tales of the City Series When you sense the affection where people enfold their loving kindness you are probably amidst the tenants of 28 Barbary Lane, San Francisco 94109. Perhaps ‘tenants' is the wrong word, it should be something more like a friendly community of people. In Tales of the City , by Armistead Maupin, the characters are intertwined with togetherness. The mother of all mothers, ‘the landlady', guardian of all who live under her roof, orchestrates
The Use of Series in The Big Sleep by Raymond Chandler In The Big Sleep, Raymond Chandler writes items in a series in almost every paragraph that does not include dialogue, occasions, in the text where Marlowe watches the other character do something like open and close a book or light a cigarette and flick the ash into a tray. When Chandler stops the dialogue to creates a space for Marlowe to record elements in the environment, he constructs sentences that indicate how Marlowe assimilates
personification" (1). The use of alliteration in this sentence can be seen in the beginning sounds of "having" and "human" that are in a series. A final example of alliteration in Scheffing’s email is, "This statement seems most disturbing to anyone who would read it because it either doesn’t make sense, or is believed to be completely wrong" (1). The alliteration can be noticed in the series of words; "statement," "seems," "who," and "would." The use of alliteration by Scheffing serves as probably her most useful
Cadbury plan their production process by using a time series method as this helps Cadbury to accurately A1: An evaluation of the effectiveness of the techniques used by the business to plan production and product development Cadbury plan their production process by using a time series method as this helps Cadbury to accurately produce the needed amount of chocolate at the correct period of time. A time series shows historical data that can be used and analysed to predict future trends
to themselves. People who can personally relate to something have the tendency to embed it deeper into their memory. Craik and Tulving did a series of experiments on the depth of processing model. They had participants use a series of processing methods to encode words at different levels; shallow, moderate, and deep. The subjects were shown a series of words and ask questions about the words that would provide a "yes" or "no" response. At the shallow level they were asked questions about whether