Mathematical Investigation In this report we were asked a number of questions about the solving of magic squares. The final goal was to fill a magic square in correctly. The information I was given was about the history of magic squares and information on how they work. I did not need any extra information. Investigation: What I had to do for this investigation was to fill in a magic square correctly. I chose to do this by answering the questions given to me and using my answers to
Beyond Pythagoras - Mathematical Investigation 1) Do both 5, 12, 13 and 7, 24, 25 satisfy a similar condition of : (Smallest number)² + (Middle Number)² = (Largest Number) ² ? 5, 12, 13 Smallest number 5² = 5 x 5 = 25 Middle Number 12² = 12 x 12 = 144+ 169 Largest Number 13² = 13 x 13 = 169 7, 24, 25 Smallest number 7² = 7 x 7 = 49 Middle Number 24² = 24 x 24 = 576+ 625 Largest Number 25² = 25 x 25 = 625 Yes, each set of numbers does satisfy the condition.
1.9.1 Sensitivity analysis of the model Sensitivity analysis is the study of how the uncertainty in the output of a mathematical model or system (numerical or otherwise) can be apportioned to different sources of uncertainty in its inputs. A related practice is uncertainty analysis, which has a greater focus on uncertainty quantification and its propagation. Ideally, uncertainty and sensitivity analysis should be run in tandem. As the optimization method provides the best set of inputs for optimum
describe. Thus, for formal geometry it is irrelevant whether the objects described are physical objects in actual space, or n-tuples of real nu... ... middle of paper ... ... Bouvier, Bonn, 1981. Tieszen, Richard L. “Mathematical Intuition: Phenomenology and Mathematical Knowledge”. Kluwer, Boston, 1989. Zalta, Ed. “Frege’s Logic, Theorem and Foundations for Arithmetic”. Stanford Encyclopedia of Philosophy, http://plato.stanford.edu/entries/frege-logic/ Footnotes 1. Lohmar, p. 14 2. However
continuous steel slab casting in terms of fluid flow, heat and mass transfers in the manufacture production. Finally, this paper reviews the physical and mathematical modelling in physical experiment and mathematical models, which has been used to study in the process. Keywords: Continuous Casting, Steel, Slab, Physical Modelling, Tundish, Mathematical Modelling, Fluid Flow, Heat Transfer, Mass Transfer, Instruction, Report 1. Introduction Continuous casting is a casting process that is used in the
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
themes in his Topics-sameness and difference, part and whole, better than, etc. These are tools for all dialectical investigations into being and action (viz. Top. I.11 104b2) for they secure definitions and get at essences of things or their aspects. Reflecting structures of being and good, they allow Aristotle to arrive at objective reality and good. Being tools for all investigations into being and values, we are not free to reject them, nor can we have any discourse or claim to reality or good.
Countless time teachers encounter students that struggle with mathematical concepts trough elementary grades. Often, the struggle stems from the inability to comprehend the mathematical concept of place value. “Understanding our place value system is an essential foundation for all computations with whole numbers” (Burns, 2010, p. 20). Students that recognize the composition of the numbers have more flexibility in mathematical computation. “Not only does the base-ten system allow us to express arbitrarily
My first job was working at the Carmike Cinemas at the Summit. My main duty, among others at the theater, was working the concession stands. It was an entertaining job. It took me awhile to learn the ropes, but once I did, it was smooth sailing. There were several times the concessionaires stands were run by only one person. While it is fun working in a concession stand, I couldn’t forget about my responsibilities. A rush of thousands of people is a daunting task, but it will go smoothly if my station
" 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.
expensive to build and study than the full-size airplane. Similarly, the mathematical model in equation (1.1) allows a quick identification of profit expectations without actually requiring the manager to produce and sell x units. Models also have the advantage of reducing the risk associated with experimenting with the real situation. In particular, bad designs or bad decisions that cause the model airplane to crash or a mathematical model to project a $10,000 loss can be avoided in the real situation
This paper presents the study of non-linear dynamic of cardiac excitation based on Luo Rudy Phase I (LR-I) model towards numerical solutions of ordinary differential equations (ODEs) responsible for cardiac excitation on FPGA. As computational modeling needs vast of simulation time, a real-time hardware implementation using FPGA could be the solution as it provides high configurability and performance. For rapid prototyping, the MATLAB Simulink offers a link with the FPGA which is an HDL Coder that
1. Why might Bollenbach have opened his bidding for ITT at $55 per share? What was his likely strategy? The $55 value is on the lower range of the analyst eztimates, with a best guess estimate of $67.94. Since the value of the stock had been below $45 for 4 months, the offer of 55 dollars represented a 29% premium to investors. Bollenbach knew that management would be resistant of any attempt to be acquired, regardless of price, because of failed previous attempts to negotiate a friendly merger
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
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
The question as the relationship between genius and madness is central to David Auburn's “Proof.” This question centres on how one understands the relationship between Catherine and her father, and in particular on how one understands what precise characteristics she inherited from him. The play focuses clearly on this connection , as well as on the way in which these two may be seen co-exist within one personality. Indeed, in the character of Robert Auburn presents mental instability and ill health
This finding is very relevant to early childhood field as very often we fear the same things, we feel that we are lacking confidence in our teaching abilities, in our teaching methods as well as we feel that we do not have mathematical content knowledge. I think that if an educator is lacking confidence in his/her teaching abilities because of a lack of experience in the classroom then this is natural and the confidence will come with years of being in the classroom; however
Math in general makes people feel anxious or nervous. Chapter two: overcoming math anxiety touches on several important points; the definition of math anxiety, the explanation of rational emotive theory (RET), some of the most common irrational beliefs, types of self-talk and tips to reduce or deal with math anxiety. Math anxiety is an emotion problem that is unpleasant and interferes with learning or math performance, and causes a person to avoid any exposure to any kind of mathematics, such as