HISTORY OF MATHEMATICS The history of mathematics is nearly as old as humanity itself. Since antiquity‚ mathematics has been fundamental to advances in science‚ engineering‚ and philosophy. It has evolved from simple counting‚ measurement and calculation‚ and the systematic study of the shapes and motions of physical objects‚ through the application of abstraction‚ imagination and logic‚ to the broad‚ complex and often abstract discipline we know today. From the notched bones of early man
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therefore‚ the object is said to have either gained or lost a certain amount of energy of a particular type. The total work done on a particle by all forces that act on it is equal to the change in its kinetic energy‚ also known as the work-energy theorem. This can derived from: W=Fdx equation 1 W=maxdx where ax=vdvdx W=mvdvdxdx=mvdv W=v1v2mvdv =12mv22-12mv12 =K2-K1 W=ΔK equation 2 For a body moving along s ‚ displacement with a constant force F‚ work can be
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own beliefs and values; thus igniting the period of Enlightenment. In this period many people followed the teachings of their forefathers‚ such as Socrates‚ who was considered a figure of skepticism and rational thought. Challenging all views and theorems was the main point of this new ideology. Voltaire‚ a very powerful and influential figure among the writers of the 18th century‚ was known for his rejection of religion and a devout deist. In one of his most famous works‚ Candide‚ he causes the reader’s
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Radical Expressions ) II. To solve a quadratic equation arranged in the form ax2+ bx=0. Strategy: To factor the binomial using the greatest common factor (GCF)‚ set the monomial factor and the binomial factor equal to zero‚ and solve. Ex. 2) 12x2- 18x=0 6x2x-3= 0 Factor using the GCF 6x=0 2x-3=0 Set the monomial and binomial equal to zero x=0 x= 32 Solutions * In some cases‚ the GCF is simply the variable with
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-1- PROGRAMME FOR JOINT ENTRANCE EXAMINATION - 2013‚ ODISHA TABLE-I Entrance Test for B.Tech/ B.Arch./ B.Pharm/ BHMS/ BAMS/ MCA-Dual Degree / B.Tech (Lateral Entry)/B.Pharm(Lateral Entry) / PGAT for M.Tech/ M.Tech(Part Time)/M.Arch and M.Pharm/ MCA/ MCA(Lateral Entry) /MBA / PGDM / PGCM / PGDM(Executive)/MAM. Date 1 st Sitting 9.00 AM to 11.00 AM 12.00 Noon to 1.00 PM 2 n d Sitting 2.30 PM to 3.30 PM 2.30 PM to 4.30 PM Physics / Chemistry / Mathematics Biology for 1 s t Entrance Test 12
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Statistical Analysis BU 510 601 2 Credit Hours Fall 2013 Instructor: Shrikant Panwalkar Office phone: (410) 234 9456 Office Hours: By appointment panwalkar@jhu.edu Required Text and Learning Materials Business Statistics in Practice; 6th Edition‚ McGraw-Hill Higher Education‚ ISBN-13 978-0-07-340183-6 (There are other ISBN numbers) Authors: Bowerman‚ Bruce; O’Connell‚ Richard. (the cover shows a third author – Murphree) Please note: 7th edition is available‚ however
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JAMES RUSE AGRICULTURAL HIGH SCHOOL MATHEMATICS PROGRAMME YEAR 9 – 2011 LIST OF TOPICS TOPIC 1 - ALGEBRA REVISION TOPIC 2 - PRODUCTS and FACTORS TOPIC 3 - IRRATIONAL NUMBERS and SURDS TOPIC 4 - GEOMETRY REVISION and INTERCEPTS TOPIC 5 - STATISTICS TOPIC 6 - GEOMETRY OF THE CIRCLE TOPIC 7 - INDICES TOPIC 8 - SUFFICIENCY CONDITIONS for QUADRILATERALS TOPIC 9 - CO-ORDINATE GEOMETRY and REGIONS TOPIC 10 - SIMULTANEOUS EQUATIONS TOPIC 11 - SOLUTION of QUADRATIC EQUATIONS and MAX/MIN
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Distributions 1. Uniform 2. Binomial 3. Hypergeometric 4. Negative Binomial 5. Geometric 6. Poisson SKIPPING: Multinomial (p/149-150) Discrete Uniform Distribution Bernoulli Process Binomial Distribution f(x;n‚p)= =average number of successes in n trials Binomial Tables (in text) Problem • The probability that a patient recovers from a delicate heart operation is 0.9. What is the probability that exactly 5 of the next 7 patients having this operation survive? Negative Binomial Distribution k
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certainly not to theory. We can assume that this is the same phenomena that occurred before Newtonian physics. People understood the apples fell but they could not understand why they fell‚ all they could say was the apple fell and hit me. However Newton figured it out and developed a theory that could help others understand what they were experiencing. After this theory was developed and accepted‚ people began to understand why the apple fell and then they could explain it
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repreated over the long run. Term Binomial Probability Distribution characteristics Definition A distribution that gives the probability of x successes in n trials in a process that meets certain conditions. Term Binomial Prob. Dist. characteristics #1 Definition a trial has only two possible outcomes; a success or a failure. Term Binomial Prob. Dist. characteristics #2 Definition There is a fixed number‚ n‚ identical trials. Term Binomial Prob. Dist. characteristics #3
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