Pool is a perfect sport that is tested with physics and mathematics. In many universities, professors use this game to explain some concepts about physics. The theory of bounces and spikes is the basis of the game, and sector professionals can perform amazing tricks, sometimes mysterious and magical, and they may not even be aware of the equations behind them, they rely only on experience. On a perfect table (with sides that respond perfectly and have a very smooth surface), friction is almost completely eliminated. The balls must also be perfect and well calibrated. Newton’s laws can be observed here, with theories of conservation of energy. In the event of a collision between balls (or between a ball and a bank), in fact, momentum is conserved, along with angular momentum, thus exchanging spin and creating unexpected and astounding consequences. The balls (as well as the signals) must be well calibrated to be able to perform key strokes. Let’s see the basic physics behind this cool green board game. Balls As can be seen from Figure 1, billiard balls are balls, that is, geometric solids whose distance between all points on the surface from the center of the ball is equal to a constant value (the radius of the sphere). The main feature of spherical bodies is that they are three-dimensional shapes with a minimum surface-volume ratio. This relationship explains why many things in nature, such as water droplets, tend to have a spherical shape. Figure 1: A billiard ball is a perfect ball The second principle of dynamics states that when an object is subjected to a force, its acceleration and velocity vary. If this body meets another, momentum comes into play. For a good approximation, the balls are solid bodies, and the system is linear. Momentum is a property of an object with a given mass moving at a constant velocity and is the product of an object’s velocity multiplied by its mass, according to the equation: According to its very definition, momentum is a constant measure of an object moving at a constant velocity. In other words, an object retains its momentum if no external force intervenes in the system (conservation of momentum), parallel to the kinetic energy of an object moving at a certain speed v1 and having a certain mass m1. The equation is: here, the most decisive value is velocity. Recoil As with other sports, studies and motion detection analysis are nowadays carried out using special high-frequency cameras (up to 10,000 fps). Rebound analysis is performed by observing the behavior of a ball hitting the side of a general pool table, made up of a specific type of elastic rubber with a triangular shape covered with cloth (see Figure 2). Figure 2: The side of the pool table radically changes the bounce of the ball In principle, by pushing the ball along any primary diagonal, after hitting the first bank, a secondary trajectory is determined, which depends on the primary. Upon impact, it is possible to observe the deformation of the bank that accommodates a whole part of the ball. In this way, the ball rotates around this contact surface to be later reflected back on the playing surface. This dynamic shows that the ball is not rejected at a completely reflexive angle to the angle of incidence (see Figure 3). Furthermore, in the moments immediately following the bounce, the ball follows some vertical spins gained along the way that involve a trajectory deflection. In the event of a collision between balls, the rotation is always transmitted from one ball to another. Then, when the latter hits a bank at a certain angle, it exits the bank at a different angle than the angle of incidence, precisely because it has an effect. The Euclidean character (which states that the angle of incidence equals the angle of reflection) is violated by the theory of conservation of angular momentum. Therefore, the purely geometric path is always different from the actual path. The sides of the pool table are flexible and reflect, in principle, the radii of incidence with the paths of reflection, just as a mirror reflects a ray of light. If the ball was, in fact, made of an ideal material and had no rotation or friction, it would determine an exit path exactly identical to the entry path. Fortunately, the reality is quite different and for accurate shooting, there are many factors that come into play: this makes the game even more amazing. The balls on the table can jump, slide, spin or go straight. The ball is constantly changing its rotation and state of motion, also due to the conditions of the environment and the playing surface. There is, in practice, an infallible standard for calculating pool strokes, but there is always a margin for error. Depending on the type and condition of the bank, the trajectory of the ball is subject to a significant deflection after impact. Geometry simply determines the path of the mirror while physics determines the direction, state of motion and rotation. By combining these three components, each pool track is created. Normally, the trajectory does not have a straight but perfectly curved trajectory, the concavity of which changes according to the angle of incidence, the force of the shot, and the rotation. The bank contrasts with the ball’s movement, allowing it to change direction. It features a triangular section and a portion of the ball’s energy is wasted and converted into heat. The bank cannot be considered a true engineering mirror, but rather an indefinable physical obstacle. Immediately after contact, the ball moves a short distance by sliding over the surface. Figure 3: Poolside is not a perfect “mirror” in pool, collision theory is perhaps most important (see Figure 4). The phenomenon of collision can be described as the collision of two bodies or two masses with each other. During this phenomenon, bodies exchange parts of their energy. Part of the kinetic energy is converted into heat and deformation, and the velocity vectors of both bodies change. When two billiard balls collide, the bump is nearly elastic. An elastic collision is one in which the kinetic energy of the system is conserved before and after the collision. Figure 4: Impact between two masses In the diagram, the vectors indicate the direction of motion of the bodies. The normal effect is the straight line of action on which the forces of influence act, passing through the point of contact of the two bodies and perpendicular to the tangent plane. Impacts As can be seen from Figure 5, an impact is the action that is transferred to the ball to initiate the process of lateral rotation (right or left). It is a phenomenon that occurs when the ball does not hit exactly at its center of mass (which corresponds to the geometric center). In most cases, you should not give the ball too much spin, as this can damage the shot due to excessive slip. The balls may have air bubbles inside, so the center of mass has shifted slightly from normal. The consequences of the effects are very complex. When the impact begins, the complex phenomena of friction, rotation, forces, slip, and angular velocities are included, and only a computer can simulate and solve them. Figure 5: Effects make the ball spin with different effects The Beautiful Spot Billiards physics predicts a point on a ball which when hit produces no frictional force between the ball and the pool table (see Figure 6). Knowing this allows for interesting shots to be performed. The following aspects are necessary if you want to know the height of the point: F: the force that the stick exerts on the ball; r: radius of the sphere; G: center of mass of the ball; g: gravitational acceleration on the planet, equal to 9.8 m / s 2; P: the point of contact between the ball and the plane; Fpx: the “x” component of the force acting on the billiard ball, at point P, which is a friction force; Fpy: the ‘y’ component of the force acting on the billiard ball, at point P. The height of hitting the ball so that friction does not develop at point P is calculated by the following simple equation: it is the result of very complex formulas, which include Newton’s second law, general equations of forces, general equations The torque of a rigid body about its center of mass. It doesn’t matter how hard you hit the ball in this mode. At point P, no frictional force will develop. If the stick hits above or below the “h” height, friction is generated as the ball glides across the table. Figure 6: Example of a sweet spot exercise We have a ball of mass M = 0.2 kg and radius R = 4 cm on the green table (see Figure 7). The player hits the ball with the stick in a horizontal direction at a height h of the table, giving it an impulse equal to: Question: Given h = R, determine the speed v0 at which the ball begins to slide on the table immediately after impact and its kinetic energy. Answer: The stick hits the ball on the center of mass (CM) line h = R, and thus does not provide any angular momentum. On the other hand, the ball undergoes a change in its momentum in the horizontal direction which is equal to the pulse of the force: knowing the impulse we can calculate the velocity v0 that occurs immediately after the collision, along with the kinetic energy: Question: Given h <> R, determine the value of h for which the ball begins a pure rolling motion immediately after impact. Answer: For a pure roll from the start, an initial angular velocity of the ball must be provided through the stick. This is only possible if h <> R. By integrating the equation of the ‘z’ component of angular momentum: and given that the initial angular moment is zero, the angular momentum is obtained after impact in the form: with: , the speed of rotation is: and with: you get On: Figure 7: Pool table for practice Conclusions The game of pool offers thousands of different ideas for studying the most important concepts of physics. The force of gravity always determines the static and dynamic behaviors of any action. Just try to imagine what a pool game would be like on another planet. There are many websites that describe fun environments to play pool, obviously 2D. There are also interesting simulators that allow you to monitor parameters such as kinetic energy, potential energy, total energy, and more. One of these is “Billiards”, click here to have a look. Anyway, we all agree that no computer can simulate the excitement that a real pool game can offer. .


6 edition of Introduction to the Practice of Statistics: Nonparametric Tests Logistic Regression found in the catalog.
by W H Freeman & Co (Sd)
Written in English
|The Physical Object|
Binary logistic regression is a statistical method used to determine whether one or more independent variables can be used to predict a dichotomous dependent variable (Berger ). It should be Extensively classroom tested, Nonparametric Statistics for Non-Statisticians is an ideal book for courses on nonparametric statistics at the upper-undergraduate and graduate levels. It is also an excellent reference for professionals and researchers in the social, behavioral, and health sciences who seek a review of nonparametric methods and
68 F Chapter 4: Introduction to Regression Procedures Overview: Regression Procedures This chapter provides an overview of SAS/STAT procedures that perform regression analysis. The REG procedure provides extensive capabilities for ﬁtting linear regression Parametric tests usually have stricter requirements than nonparametric tests, and are able to make stronger inferences from the data. They can only be conducted with data that adheres to the common assumptions of statistical tests. The most common types of parametric test include regression tests, comparison tests, and correlation ://
THE PRACTICE OF BUSINESS STATISTICS Chapter 16 Nonparametric Tests Chapter 17 Logistic Regression Chapter 18 Bootstrap Methods and Permutation Tests TO THE INSTRUCTOR CORE BOOK TAKE YOUR PICK Companion FM 18 1/30/03 AM Page ://~tibs/stata/Supplements/ An Introduction to Probability and Statistics, Third Edition is an ideal reference and resource for scientists and engineers in the fields of statistics, mathematics, physics, industrial management, and engineering. The book is also an excellent text for upper-undergraduate and graduate-level students majoring in probability and ://+Introduction+to+Probability+and+Statistics,+3rd+Edition.
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Moore, George P. McCabe, Bruce A. Craig W.H. Freeman, c 8th ed: student ed. hardcover This book is an introduction to basic ideas and techniques of nonpa rametric statistical methods and is intended to prepa re students of the sciences as we ll as the humanities, for a better This is - for the most part - a very readable book.
Generalized additive models include additive regression models, but extend additive nonparametric regression to other 'link' functions -- such as logistic regression, probit regression, and Poisson regression.
The book provides a fine general introduction to nonparametric :// The focus is on t tests, ANOVA, and linear regression, and includes a brief introduction to logistic regression.
This course (or equivalent knowledge) is a prerequisite to many of the courses in the statistical analysis curriculum. A more advanced treatment of ANOVA and regression occurs in the Statistics 2: ANOVA and Regression course ?ctry=us&crs=STAT1.
Logistic regression is the appropriate regression analysis to conduct when the dependent variable is dichotomous (binary). Like all regression analyses, the logistic regression is a predictive analysis.
Logistic regression is used to describe data and to explain the relationship between one dependent binary variable and one or more nominal, ordinal, interval or ratio-level independent :// Linear regression is one approach that allows multiple independent variables to be used in the analysis.
In the linear regression model, the dependent variable is the observed pulmonary function test value and age, race, and sex are the independent variables.
Logistic regression is an approach that allows many possible risk factors to be 4. Use nonparametric tests. Nonparametric tests include those discussed in the Traditional Nonparametric Tests section of this book and those chapters on permutation tests.
Quantile regression and generalized additive model may be options as well. Use robust binomial distribution (logistic regression) and the Poisson distribution (Poisson regression), and non-parametric tests are sometimes called "distribution-free" tests.
Additionally, parametric statistics require that the data are measured using an interval or ratio scale, whereas nonparametric statistics use data that are measured with a REGRESSION An Introduction to Logistic Regression: From Basic Concepts to Interpretation with Particular Attention to Nursing Domain ure” event (for example, death) during a follow-up period of observation.
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Learn the concepts behind logistic regression, its purpose and how it works. This is a simplified tutorial with example codes in R. Logistic Regression Model or simply the logit model is a popular classification algorithm used when the Y variable is a binary categorical :// New edition of Moore's bestselling Introduction to the Practice of Statistics.
Introduction to the Practice of Statistics is now supported by Sapling Intro Stats, a powerful online homework system in which every problem is an opportunity for a student to learn through meaningful hints, targeted feedback, and detailed solutions.
Sapling Intro Stats provides students with support to navigate Binomial Logistic Regression using SPSS Statistics Introduction. A binomial logistic regression (often referred to simply as logistic regression), predicts the probability that an observation falls into one of two categories of a dichotomous dependent variable based on one or more independent variables that can be either continuous or :// Introduction to Nonparametric Regression by Kunio Takezawa Applied Nonparametric Statistical Methods, Third Edition by Peter Sprent Nigel Charles Smeeton (Online Only, UC Only) Nonparametric Statistics for the Behavioral Sciences by Sidney Siegel and N.
John Castellan, :// Logistic regression is a commonly used statistical technique to understand data with binary outcomes (success-failure), or where outcomes take the form of a binomial proportion. The objective of logistic regression is to estimate the probability that an outcome will assume a certain ://.
Applications. Logistic regression is used in various fields, including machine learning, most medical fields, and social sciences. For example, the Trauma and Injury Severity Score (), which is widely used to predict mortality in injured patients, was originally developed by Boyd et al.
using logistic other medical scales used to assess severity of a patient have been developed Introduction to Statistics II: Analysis of variance, multiple regression, chi-square tests, and non-parametric procedures. STAT Biostatistics for Health Professions: Introduction to biostatistical techniques, concepts, and reasoning using a broad range of biomedical and public health related ://Introduction to Regression with SPSS Lesson 1: Introduction to Regression with SPSS Additionally, as we see from the Regression With SPSS web book, the variable full (pct full credential) appears to be entered in as proportions, hence we see as the minimum.
The last row in the Descriptives table, Valid N (listwise) is the sample size


Online Catalogue last updated 17th of September 2023
This book makes possible the accurate geometrical solution of all problems of pattern development normally encountered, by giving examples arranged according to a systematic plan which progressively illustrates the underlying principles. In the five "courses" into which the book is divided, the three basic methods of Radial Line, Parallel Line and Triangulation are applied in more and more complex examples, culminating in the solution of difficult problems of pipe intersection, twisted surfaces and spiral chutes. Each stage in the solution of the problem is clearly explained and shown in detailed drawings, and the superiority of the accurate geometrical method, in terms of time and material saved, is effectively demonstrated. All sheet metal workers will find this book invaluable.
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Code No. 006844, 325 pages, ISBN 0582009618, $180.00


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This e-book deals a primary path in research for scientists and engineers. it may be used on the complex undergraduate point or as a part of the curriculum in a graduate application. The booklet is equipped round metric areas. within the first 3 chapters, the authors lay the foundational fabric and canopy the all-important “four-C’s”: convergence, completeness, compactness, and continuity. In next chapters, the fundamental instruments of study are used to provide short introductions to differential and crucial equations, convex research, and degree concept. The therapy is sleek and aesthetically wonderful. It lays the basis for the wishes of classical fields in addition to the real new fields of optimization and chance conception.
Absolute values and their completions – akin to the p-adic quantity fields – play an immense function in quantity thought. Krull's generalization of absolute values to valuations made attainable functions in different branches of arithmetic. In valuation thought, the suggestion crowning glory needs to be changed via that of "Henselization". This publication develops the speculation of valuations in addition to of Henselizations, in line with the talents of a regular graduate path in algebra.
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Mathematical modelling modules function in such a lot college undergraduate arithmetic classes. As one of many quickest becoming components of the curriculum it represents the present pattern in instructing the extra complicated components of arithmetic. This booklet introduces mathematical modelling to the recent form of undergraduate - people with much less previous wisdom, who require extra emphasis on program of strategies within the following sections: what's mathematical modelling?; Seeing modelling at paintings via inhabitants development; Seeing modelling at paintings via released papers; Modelling in mechanics.
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The first cause of the ebook is to introduce an array of lovely difficulties in numerous topics speedy, pithily and fully carefully to graduate scholars and complex undergraduates. The publication takes a few particular difficulties and solves them, the wanted instruments constructed alongside the best way within the context of the actual difficulties. It treats a melange of subject matters from combinatorial chance concept, quantity idea, random graph conception and combinatorics. the issues during this publication contain the asymptotic research of a discrete build, as a few ordinary parameter of the approach has a tendency to infinity. along with bridging discrete arithmetic and mathematical research, the booklet makes a modest test at bridging disciplines. the issues have been chosen with an eye fixed towards accessibility to a large viewers, together with complicated undergraduate scholars. The e-book should be used for a seminar path within which scholars current the lectures.
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As an teacher on the college of Tulsa, Christopher Swenson may possibly locate no proper textual content for instructing glossy cryptanalysis?so he wrote his personal. this is often the 1st ebook that brings the learn of cryptanalysis into the twenty first century. Swenson offers a starting place in conventional cryptanalysis, examines ciphers in keeping with quantity concept, explores block ciphers, and teaches the foundation of all sleek cryptanalysis: linear and differential cryptanalysis. This customary weapon of conflict has develop into a key piece of artillery within the conflict for info protection.


How much money do you save? Grade: 7 Distributed by: Pearson Education Canada 1-800-263-9965 Approved 1998 Minds on Math 8, Ontario Edition, Addison Wesley Longman, 1998. Have other students look at the diagram and try to guess how it has been sorted. I also recommend viewing Marilyn Burnâs video to listen to her explain and demonstrate math menus. Students will be working through a variety of math questions to discover which superhero has gone bad! They love to work with the bags and will record answers over and over. Mentors volunteer to reply to solutions submitted by students in grades six to nine. They write their estimate on a sheet, circle it and write their names next to it. Variation: Allow students to create a new bill of any denomination.
You can have a couple of incomplete venn's for parents to sign at the back of the book. Have things like coins, buttons, crayons, counters for finding equal parts of a set. Do not copy, reproduce or transmit. I show the students how to open the box, put the lid under the box and then measure. Choose a square, circle, rectangle, diamond, or triangle. See Resource List for ideas. Grade: 1 Distributed by: Nelson Thomson Learning 1-800-668-0672 Approved 1998 Interactions 2: See What I Can Do, Prentice Hall Ginn Canada, 1994.
Fractions-- Have manipulatives to explore fractions as equal parts of a whole. We have a set of problems of the week with our math program Quest 2000. Seasons Math Mystery Bundle This addition and subtraction Math Mystery will engage and motivate your students to practice their addition and subtraction skills within 20. Each student should have a bingo card. Grade: 2 Distributed by: Pearson Education Canada 1-800-263-9965 Approved 1998 Mathématique 2000 Student Book, Addison Wesley Longman. Explore 18 educational play areas that teach reading, math, music, basic science, art, and other 1st Grade fundamentals while joining your friends on an exciting island-hopping treasure hunt! I organized a few more menus before the end of June and tried different approaches to menu math. This can be used as a whole class opening or closing activity.
One of the easiest ways to do this is to have a weekly estimation jar. Grade: 2 Distributed by: Nelson Thomson Learning 1-800-668-0672 Approved 1998 Interactions 3, Prentice Hall Ginn Canada, 1994. How many people receive an allowance? The measurement used was inches. The students can evaluate their work and work habits during the unit in a unit evaluation. What problems are associated with money? Grade: 6 Distributed by: Pearson Education Canada 1-800-263-9965 Approved 1998.
The meal would be preplanned and taken to the store. Supply store flyers, newspapers, etc. Also at the estimation stationyou can have them estimate the capacity of a container. Suggested Teacher Resources Beesey, Cathy and Tynn Davie. The Venn Diagrams can also be changed every day and then when you've got enough of them they can be placed at a Graphing centre and children can each choose one Venn diagram to graph on their own. When the player has three clues, they're ready for the treasure hunt.
These can then be presented to the class. Use your newspaper to obtain prices for the items listed on the chart below or create your own chart and party needs. One is not a nickel. Then divide the students into groups of 3 or 4. Examine present coins and bills as to the the design on them.
When finished share students' findings and graph the results using a bar graph. So we had pumpkins and jack o' lanterns. Basically whatever you use a two sided counter for. Kindergarten Program Distributed by: Nelson Thomson Learning 1-800-668-0672 Approved 1998 The Kids Can Kindergarten Collection and related titles, Kids Can Press, 1998. Mathematics: teaching for understanding, video , Marilyn Burns, Cuisenaire Company of America, Inc.
Most activities will be set up in stations where students rotate at their pace. Create a class graph on the amounts of allowance. The underlying concept of all the activities is problem solving. Discuss nutrition and eating healthy. Is there anything that could be added or deleted next time the unit is taught? Math Geo Safari-- Expense here, but can be used for individualizing skills and fast practice. Divide the students into pairs and have each pair choose a country. To return to the previous page use your browser's back button.
My students liked working independently on the menu activities. Dollar Activities-There are 293 ways to change a dollar bill. Students are shown how to label each activity and file the activities in sequence in their folders. Bank of Canada - package on the latest bills current Lesson Discuss and research the history of money including bartering, minting, the introduction of the loon and two dollar coins divide students into groups. These dishes are great because they can be put on the overhead. It can also be used as a station.


Most proofs are local in nature and try to use only basic linear algebra and multivariable calculus. Download it once and read it on your kindle device, pc, phones or tablets. Differential geometry of curves and surfaces quite popular for introductory level. Connections, curvature, and characteristic classes graduate texts in mathematics book 275 kindle edition by loring w. Asymptotic curves and lines of curvature of helicoid. Manufacturing formulations semisolid products volume4. Riemannian geometry sylvestre gallot, dominique hulin. Differential geometry of curves and surfaces manfredo do. Differential geometry of curves and surfaces springerlink. The theory is applied to give a complete development of affine differential geometry in two and three dimensions. Differential geometry of curves and surfaces quite popular for. Supplementing this book with do carmo s text, i was able to get something out of the class, but i think rereading both of them now would be much better.
By merge i meant transfer data from ipad computer but only gd world crap loads oh,i see,i think that while you were logged into gdw you saved your account which you shouldnt do and erased data from geometry dash so now all you have left is gdw data. In addition, the book will have a description of the threedimensional curves and surfaces other than manifolds instill a greater confidence in differential geometry to the reader. Tao how to become a pure mathematician complex analysis. I really like do carmo s style of presentation, i can just imagine what type of lecturer he was. Differential geometry of curves and surfaces by manfredo do carmo syllabus. One of the most widely used texts in its field, this volume introduces the differential geometry of curves and surfaces.
Differential geometry of curves and surfaces, by manfredo p. As of today we have 76,209,391 ebooks for you to download for free. Thus, this is an ideal book for a onesemester course. A first course in curves and surfaces preliminary version summer, 2016 theodore shifrin university of georgia dedicated to the memory of shiingshen chern, my adviser and friend c 2016 theodore shifrin no portion of this work may be reproduced in any form without written permission of the author, other than. Differential geometry, spring 2012 course notes apart from these notes from professor gluck, the course has a textbook which is differential geometry of curves and surfaces by manfredo do carmo. Elementary differential geometry, revised 2nd edition. Click download file button or copy do carmo differential geometry solutions url which shown in textarea when you clicked file title, and paste it into your browsers address bar. Full text of algebraic logic, quantum algebraic topology and algebraic geometry an introduction.
Here you can download do carmo differential geometry solutions shared files. Written primarily for students who have completed the standard first courses in calculus and linear algebra, elementary differential geometry, revised 2nd edition, provides an introduction to the geometry of curves and surfaces. Manfredo do carmo this volume covers local as well as global differential geometry of curves and surfaces. Curvature, torsion, frenet equations, four vertex theorem, isoperimetric inequality, fenchels theorem. Please put it in the bin on my office door or hand in to me in person if im in my office. Elementary differential geometry, by barrett oneill. Here you can find do carmo differential geometry solutions shared files. Imaginarynumbersarenotrealthegeometric algebraofspacetime. Afer going through oprea, one might like to tackle oneills elementary differential geometry and vols 24 of spivaks comprehensive introduction to d. Beware that means cross product, and means a dot b or inner product in this text. Topology, differential geometry, mechanics, lie groups, etc. Full text of algebraic logic, quantum algebraic topology and. Im starting to build a respectable collection of math textbooks, and was wondering what i should add.
Download apple macbook pro manual free german edition. October 16 do carmo differential geometry ebook downloads. The three points p i obviously lie on the surface p. College on differential geometry repository for lecture notes from the scanned historical archive smr 404 contribution id. A comprehensive introduction to vol1,2,3,4,5 spivak a course in differential geometry thierry aubin a first course in geometric topology bloch a first ourse in differential geometry a panoramic view of riemannian geometry m. Differential geometry of curves and surfaces pdf do carmo. It is easily seen that all of the motions in e form a group under this multiplication, called the group of motions. I have read nothing of his works except a few sample extracts in philosophy books, and a little massmarket book that is a collection of his parables. Download manfredo do carmo differential geometry of curves. Math 561 the differential geometry of curves and surfaces. Although the text deals only with local problems except for global problems that can be treated by methods of advanced calculus, the definitions have been formulated so as to be applicable to modern global differential geometry. To see this write the triple product as a determinant. Click the upload files button and select up to 20 djvu files you wish to convert. Stresses the basic ideas of differential geometry regular surfaces, the gauss map, covariant derivatives.
He is an emeritus researcher at rios national institute for pure and applied mathematics and the author of differential forms and applications. If anyone, therefore refuses to learn from christianity how to love himself in the right way, he cannot love his neighbor either. Breathless is a book which makes you pause and will change the next breath you take as well as differential geometry of curves and surfaces. Differential geometry of curves and surfaces ebook by. Welcome to the math library where is shared many math documents. How important is differential geometry for an undergrad. Since the late 1940s and early 1950s, differential geometry and the theory of manifolds has developed with breathtaking speed.
If you do not receive an ebook, please check your spam mailbox or send an email to. Makes extensive use of elementary linear algebra with emphasis on basic geometrical facts rather than on machinery or random details. It has become part of the basic education of any mathematician or theoretical physicist, and with applications in other areas of science such as. Docarmo has many exercises following each section, they range from easy one liners to more difficult problems. Digital geometry processing dgp, a subfield of computer graphics will be introduced in this course. Differential geometry neither do carmo nor oneill introduce the matrix notation when they first discuss the frenet formulae, kreyszig does that, which is nice. Full text of varnoldmathematicalmethodsofclassical. The call dmytecks routine calculates the checksum for a packet. I put together a summary key definitionstheorems from an undergraduate course following do carmo at 2. Differential geometry of curves and surfaces ebook pdf epub djvu mobi rar differential geometry of curves and surfaces pdf epub djvu free download. My favorite semester was the semester i concurrently taught multivariable calculus, took an undergraduate differential geometry course do carmo s curves and surfaces, and took a graduate differential topology course lees smooth manifolds. The evil prince john rules england in place of his brother, the noble richard the lionheart, who is being held in an austrian prison by duke leopold of austria, while returning from one of his crusades.
American mathematical society 201 charles street providence, rhode island 0290422 4014554000 or 8003214267 ams, american mathematical society, the tricolored ams logo, and advancing research, creating connections, are trademarks and services marks of the american mathematical society and registered in the u. A free translation, with additional material, of a book and a set of notes, both. Download m do carmo riemannian geometry from 10 mb, do carmo riemannian geometry djvu from 4 mb free from tradownload. This website is intended exclusively for medicare providers and health care industry professionals to find the latest medicare news and information affecting the provider community. Do carmo differential geometry of curves and surfaces. Thank you for visiting first coast service options medicare provider website. Manfredo do carmo ebooks and audio books differential geometry of curves and surfaces download pdf epub rar rapidshare mediafire fileserve 4shared torrent depositfiles scribd.
Homework is usually due on thursday at 4pm the week after its assigned. He is an emeritus researcher at rios national institute for pure. Main termsvector search result for parametrized curve 1. This book is a classic and covers differential geometry in r3 using notation that one can follow after a traditional multivariable calc class and linear algebra class. Use this free online djvu to pdf converter to convert djvu files to adobe pdf documents, quickly and easily, without having to install any software. The study of riemannian geometry is rather meaningless without some basic knowledge on gaussian geometry i. Ebooks automotive service manuals on cd download deutsche. Examples would include the best introduction texts linear algebra, differential equations, real analysis etc, advanced texts, math history books, revolutionary or modern research papers. Riemannian geometry by manfredo perdigao do carmo and a great selection of related books, art and collectibles available now at. Differential geometry of curves and surfaces pdf free download. For a more classical introduction to differential geometry requiring only multivariate calculus and some real analysispoint set topology, do carmo s differential geometry of curves and surfaces is a great textbook. How to become a pure mathematician or statistician mathphy. This volume covers local as well as global differential geometry of curves and surfaces.
This was the official 100% recommended, guaranteed text for my riemannian geometry class. There are many undergrad texts around oneill, do carmo, pressley but this one is the most lucidly written one handsdown. The ebook will be sent to your email within 5 minutes. Requiring only multivariable calculus and linear algebra, it develops students geometric intuition through interactive computer graphics applets supported by sound theory.
Functional differential geometry 2012 pdf hacker news. This page was created to communicate homework assignments to students. The goal of the course is to define basic concepts of riemannian geometry metric, do carmo, riemannian geometry, birkh user boston, solutions. Download manfredo do carmo differential geometry of curves and surfaces using file share search engine. For decades, besides geometry the unfinished wall only slowed down the attackers besides differential geometry of curves and surfaces. Berger a sampler of riemannfinsler geometry a treatise on the differential geometry eisenhart an introduction to differentiable boothby an introduction to differential.
The key ingredient is greens theorem, or some equivalent version of integration by parts. The following books may be useful additional resources. By formulating them in terms of the differential calculus of curvature tensors, riemann allowed noneuclidean geometry to be applied to curves and surfaces at higher dimensions, and thus allowed dg to take its proper place in the kit of tools for investigating the mechanical sciences. Use features like bookmarks, note taking and highlighting while reading differential geometry. A comprehensive introduction to differential geometry volume 1. Imaginarynumbersarenotrealthegeometric algebraofspacetime authors stephen gull anthony lasenby chris doran found. Some modern books use more functional notation that might be a little foreign to some students. How to download do carmo differential geometry solutions files to my device. Differential forms and applications this book treats differential forms and uses them to study some local and global aspects of differential geometry of surfaces. List each desired specification or standard by document identifier as recorded in the department of defense index of. Download do carmo differential geometry solutions files. This course is an introduction to differential geometry of curves and surfaces. Read differential geometry of curves and surfaces revised and updated second edition by manfredo p.
Differential geometry of curves and surfaces quite popular for introductory. Starting from this basic material, we could follow any of the possi ble routes for applications. A read is counted each time someone views a publication summary such as the title, abstract, and list of authors, clicks on a figure, or views or downloads the fulltext. This example creates a style definition that is not based on any other style definition. Apart from these notes from professor gluck, the course has a textbook which is differential geometry of curves and surfaces by manfredo do carmo. Connections, curvature, and characteristic classes graduate texts in. Differential geometry of curves and surfaces, second edition takes both an analyticaltheoretical approach and a visualintuitive approach to the local and global properties of curves and surfaces. Riemannian geometry sylvestre gallot, dominique hulin, jacques lafontaine this book, based on a graduate course on riemannian geometry and analysis on manifolds, held in paris, covers the topics of differential manifolds, riemannian metrics, connections, geodesics and curvature, with special emphasis on the intrinsic features of the subject. An excellent reference for the classical treatment of di. The goal of this article is to present the relation between some differential formulas. Differential forms are introduced in a simple way that will make them attractive to users of mathematics. Euclidean geometry studies the properties of e that are invariant under the group of motions.
A first course in curves and surfaces january 2018 by theodore shifrin recommended text. Some lecture notes on curves based on the first chapter of do carmos textbook. In particular, i do not treat the rauch comparison theorem, the morse index theorem, toponogovs theorem, or their important applications such as the sphere theorem, except to mention some of them. Differential forms and integration terence tao the concept of integration is of course fundamental in singlevariable calculus. This text is fairly classical and is not intended as an introduction to abstract 2dimensional riemannian geometry. Differential geometry of curves and surfaces pdf free. Seeing every topic at three different levels really hit home a lot of ideas for me. Indicate your complete mailing address, including any specific information required to identify and direct the order when received. Though there are other books on the subject that are more concise ao cover more topics, i believe do carmo s treatment is excellent for beginners to the field. Which books should be in every mathematicians library.
At the end of the course, students should be prepared for a graduate course in the differential geometry of manifolds. The second edition maintained the accessibility of the first, while providing an introduction to the use of computers and expanding discussion on certain topics. Free book do carmo differential geometry of curves and surfaces solution manual german. The checksum is the exclusive or xor of all the characters in the packet including the startoftext character, the character count, and endoftransmission character, excluding the checksum itself. Recent innovation in 3d acquisition 3d scanning, realtime depth sensor and 3d production 3d printing technologies, has made dgp become one of the vital technologies in applications ranging from visual effects, interactive games, cad.5 107 1025 1156 187 919 1356 857 677 186 276 746 669 867 784 784 260 940 199 256 350 1024 917 176 887 327 968 298 421


Drake's core library has 3 big parts:
Drake provides tools to model the physics of a dynamic system, which can be used for analysis and simulation.
Drake's system modeling works like Matlab Simulink. Drake constructs complex systems from blocks called
system has input/output ports that could be connected with other systems. A
system block can be a
diagram or a
leafsystem is the minimum build block and a
diagram is composed of multiple
leafsystem functions as basic components in robotics systems, like signals, sensors, controllers, planners, etc.
diagram to represent systems that internally have several connected systems that function as a whole.
diagram itself is a system and can be nested. The root diagram contains all the sub-systems and sub-diagrams.
Systems can be connected through their input/output ports. Connected systems could also be formed into a
context is data of system states and parameters cached in a separate place. Each
diagram and each
system has its own
context and the
diagram are the only two information a
simulator needs to simulate. Given the
context, all methods called on a
system should be completely deterministic and repeatable (ref. Underactuated Robotics textbook).
Drake has method
diagram->CreateDefaultContext() which creates the context with default values for all the subsystems. Values in the context, such as the initial state and the initial time, can be independently set before the simulation begins.
A context can have continuous state, discrete state, and abstract variable. Based on the variable type, the simulator would update the context data by either numerically integrating the continuous derivative or updating the states using state-space dynamics.
Drake is a simulation software. The Drake
simulator takes in the system
diagram together with its
context, to simulate by updating parameters such as integral continuous state derivatives, compute discrete state updates, allocates the various outputs of a
Drake incorporates famous and useful optimization tools, for example, Gurobi, SNOPT, IPOPT, SCS, MOSEK. These tools help to solve mathematical problems in robotics, such as motion planning and control.
To use Mathematical Programming, there is a very good starting point written in python. The same idea applies to C++.
Multibody means multiple rigid bodies connected in a tree structure. The root
diagram that contains a unique
MultibodyPlant is considered as a robotic system.
MultibodyPlant internally uses rigid body tree algorithms to compute the robot kinematics, dynamics, jacobian, etc.
MultibodyPlant is a
system. So it has input/output ports that could be connected to other systems like controllers and visualizers.
Eigen is a C++ library with linear algebra operations and algorithms.
A convenient technique to compute Derivative. Computing Integral is trivial and computing Derivative is non-trivial. AutoDiff is a good solution that Eigen provides to solve the derivative.
LCM is a multi-process communication tool. LCM is everywhere in Drake. It serves as the bridge between system ports, so all the communications between systems are transported using LCM, which can be inspected by LCM spy tool.
A handy tool that parses XML files, enables Drake to parse URDF and SDF, thus creating
MultibodyPlant for simulation.
Drake uses VTK as a geometry rendering tool. The Drake visualizer communicates with the simulator through LCM.


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Although the specialty of COCHEM Flow is in modelling wet steam flow with homogeneous and heterogeneous condensation, the program can be also used for any other general calculations of two-dimensional compressible flow, including a transonic flow with shock waves.
Thanks to the flexibility and robustness of the integrated FE-mesh generator, COCHEM Flow simulations can be done in any two-dimensional domain of arbitrary shape, including turbine planar blade cascades.
HYDRUS is a Microsoft Windows based modelling environment for the analysis of water flow and solute transport in variably saturated porous media.
The software package includes computational finite element models for simulating the two- and three-dimensional movement of water, heat, and multiple solutes in variably saturated media.
The model includes a parameter optimization algorithm for inverse estimation of a variety of soil hydraulic and/or solute transport parameters.
The program consists of two standard modules, the Geometry Modeller and the FE-mesh Generator, and several other customizable modules for pre- and post-processing data (defining domain properties, boundary conditions and graphical display of results).
MESHGEN Plus has been used as a base library for the development of HYDRUS 2D/3D.
Currently we are finishing a new version of MESHGEN Plus that can be used either as a stand-alone application (for preparing data for other FEM programs - see Meshgen Area 2011) or for the rapid development of new FEA programs.
The program uses the parametric models of Brooks-Corey (1964), van Genuchten (1990), the lognormal distribution model of Kosugi (1996), and the dual-permeability model of Durner (1994)The software package includes a modified and updated version of the CXTFIT code of Toride et al. for estimating solute transport parameters using a nonlinear least-squares parameter optimization method.
This code may be used to solve the inverse problem by fitting a variety of analytical solutions of theoretical transport models, based upon the one-dimensional advection-dispersion equation (ADE), to experimental results.
The program may also be used to solve the direct or forward problem to determine concentrations as a function of time and/or position.
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The Corentium Home displays 3 different values
Long Term Average:
The long term average is the value displayed in the middle of the upper part of the display. This is an average calculation of all readings your unit has performed since the last reset. This value is updated once every day.
Short Term Average:
The short term average is indicated through two different values:
- A one day average
- A seven day (weekly) average
The 1 day average (1 day):
This value is a moving average of your last 24 hours samples. Meaning that the 1 day value is updated every hour to include only the last 24 measurement samples.
When you have performed a measurement for one week, the short term average alternates between displaying a (1 day) and (7day) average.
On the picture below, you can see the 1 day average displayed in pC/L on the Home US version.
The seven day average (7 days):
The weekly average is an average of all samples performed during the last 7 days, this average is updated once a day.
On the picture below, you can see the 7 day average displayed in Bq/m3 on the Home International version.
If you have any further questions, please contact us at firstname.lastname@example.org


Updated: Aug 18, 2020
Numbers in Python
Data types that store numeric values are called Numbers.
If you change the value of a number data type, this results in a newly allocated object. you can call numbers immutable.
We can simply create a number object by assigning some value to a variable. we can manipulate them as shown in the below example.
Note that variable names should be small letters
Should not be a Python keyword.
Cannot start with a number
No spaces allowed in the name. Use _ instead
Python is a dynamically typed language i.e. we can re-assign values to different data types.
Whereas in the case of other languages, a variable can only have a value of its declared type. What I mean here is if let's say a variable is of type string, then you can assign only str type values to it and it will give an error when a number is assigned.
But Python is flexible, you don't need to worry about this in Python.
Below is the example
x = 5 y = 6 print("The product of two number is " , x * y) print("The sum of two number is " , x * y) print("The division of two number is " , x / y) print("The minus of two number is " , x - y) print("The modulus of two number is " , x % y)
The product of two number is 30 The sum of two number is 30 The division of two number is 0.8333333333333334 The minus of two number is -1 The modulus of two number is 5
1. What's the difference between floating point and an integer? An integer has no decimals in it, a floating point number can display digits past the decimal point. 2. Why doesn't 0.1+0.2-0.3 equal 0.0 ? This has to do with floating point accuracy and computer's abilities to represent numbers in memory. For a full breakdown, check out: https://docs.python.org/2/tutorial/floatingpoint.html
Know the data type of a variable
As Python is dynamically typed, it may be helpful to know the variable datatype holding a value. This can be done by using the "type" keyword.
# To know the variable type value a = 1 b = 2.20 c = True d = "Hello There" print(type(a)) print(type(b)) print(type(c)) print(type(d))
<class 'int'> <class 'float'> <class 'bool'> <class 'str'>
We will learn about the string data type in the next article.


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Research interests: Optimization
Curriculum vitae: Xiaowei Zhang was born in Baoji, Shaanxi. He received the Ph.D. degree in applied mathematics from Xidian University in 2009.Since 2009, he has been a faculty member of the School of Mathematical Sciences at University of Electronic Science and Technology of China (UESTC), Chengdu. Currently, He teaches undergraduate and graduate courses in probability and statistic, mathematical experiments and optimization theory and methods.His current research interests include Optimization Theory and Methods, Evolutionary Computation and Wireless Sensor Network. He has published about ten papers, six of which have been indexed by SCI、EI.


Fixed overhead volume variance is a fundamental variance that must be tested for each time a company is carrying out variance analysis to determine the effectiveness of its operational management.
Fixed overhead volume variance like fixed overhead expenditure variance is a component variance of fixed overhead variance (FOH). Examples of fixed overhead costs are rent, insurance, utility, stationery, and so on.
In this article, I will show you how to solve examination questions testing this concept as well as their importance to any organization.
What Is Fixed Overhead Volume Variance?
It measures the differences between the budgeted amount of fixed overhead costs based on production levels and the amount that is absorbed.
The formula is (Budgeted hours – Actual Hours) x FOAR.
Note: Where FOAR is Fixed Overhead Absorption Rate.
This variance can be analyzed further into fixed overhead volume efficiency variance and fixed overhead volume capacity variance. The addition of both sub-variances must equal the fixed overhead volume variance.
The formula for fixed overhead volume efficiency variance is:
(Standard Hours – Actual Hours spent on production) x (FOAR per standard time).
It measures the difference between how long it ought to take labor to complete production and how long it took them.
Fixed overhead volume capacity variance compares how long it took labor to complete production against the budgeted hours for production. The formula is:
(Budgeted Hours – Actual Hours) x FOAR per standard time.
Tip: Please note that FOH volume variance will only arise where a company chose absorption costing as its costing technique.
The FOAR per standard time to be used for the subvariances of FOH volume variances are FOAR per unit of hour i.e FOAR ÷ Standard hour per unit of production.
Moremi PLC has created a budget for the coming accounting period and information relating to its fixed overhead costs are:
|Budgeted Fixed Overheads||$80,000|
|Actual Units Produced||12,000|
|Standard hour per unit||3 hours|
|Actual hours of production||40, 000 hours|
Fixed overhead absorption rate = Budgeted Fixed Costs ÷ Budgeted units.
FOAR = $80,000
Absorbed Fixed Overhead Cost = $8 x 12,000 = $96,000
FOH Volume Variance = $80,000 – $96,000 = $16,000 Favourable.
Fixed overhead capacity variance = (Budgeted Production hours – Actual Production hours) xFOAR/unit of hour
= (10,000 units x 3) – 40,000) x $8/3hours
= -10,000 x 2,67 = 26,700 Favourable
Fixed Overhead Efficiency Variance = (Standard Hours – Actual Hours spent on production) x (Fixed Overhead Absorption Rate)
= ((12,000 x 3) – 40,000) x $8/3hours
= (36,000 – 40,000) x $2.67 = $10,680 Adverse.
To confirm your answer, the addition of FOH capacity variance and FOH efficiency variance must equal FOH volume variance. In this case, $26,700 Favourable – $10,680 Adverse = 16,000 Favourable (**approximation error)
TIP: For any variance analysis, you must interpret your answer to be either Favourable or Adverse/Unfavourable. Variance analysis is favorable if the business saves money while it is unfavorable when actual spending is higher than the budget or set standard.
Limitations of FOH Volume Variance
- The information that can be deduced from FOH volume variance is limited compared to what can be obtained from other types of variances.
- The subvariances of FOH volume variance do not offer a logical analysis of FOH.
- The process is a bit complex and may not be understood by all.
- It may be unnecessary and wasteful to monitor fixed overhead variances since its cost does not change regularly.


MATHEMATICAL SYSTEM February 24, 2021 postadmin Post in Uncategorized Page 1 of 72 Course Title:MATHEMATICS IN THE MODERN WORLD MODULE 3MATHEMATICAL SYSTEMModule IntroductionHistorically, a mathematical system consists of undefined terms, definitions, postulates oraxioms, propositions or theorems as contained on the classic Book I of the Elements written by aGreek mathematician, Euclid of Alexandria. This treatise systematizes Geometry containing 23definitions, 5 postulates, 5 common notions, and 48 propositions (Baltazar, Ragasa, &Evangelista, 2018).Notably, these geometric concepts were alreadyintroduced and applied by the Egyptians andBabylonians who came before Euclid. The Elementsof Euclid philosophizes these concepts putting theminto more coherent, abstract and consistent ideas. Itestablishes “geometry as a primary inquiry” (YoungOcean, 2019).Nothing has changed about the system that Euclidhas in his geometry up to the present day. All of hispropositions can be reproduced by a contemporarystudent with accuracy equivocal to how Eucliddemonstrated it. Geometry has become a concretemathematical system where the elements of a set areconcreted or illustrated into concrete figures, and onhow these objects of the set are related.However, in this Module, the learners will learn that a mathematical system is also an abstract oralgebraic system with the concept of set as building block. The emphasis on this section is thestudy of the important properties of a mathematical system of a set of integers, the remainderfunction particularly modular arithmetic. LESSON NO.1LESSON TITLEBINARY OPERATIONSSpecific LearningOutcomes:During the learning engagements, the learners should be able to:1. Discuss the nature and properties of a mathematical system throughsome forms of semantic maps;2. Determine the binary properties satisfied of a given mathematicalsystem; and3. Explain your stand on the adage: “Mathematics, as building block oftechnology, revolutionizes society.”TEACHING LEARNING ACTIVITIESPROCESSING1. Defining a Mathematical System. Investigate which among the three ordinary operationsin real number is/are binary – addition, multiplication, division. The following are theinstructions: Perform the following indicated operations on a set of real number , if it exists.a. 1 + 5 (defined, solution exists) f. 6 ÷3(defined, solution exists)b. 7 · 0 (defined, solution exists) h. 0 ÷ 4 (defined, solution exists)c. 3 · 6 (defined, solution exists) i. 0 · 0 (defined, solution exists)d. 0 + 8 (defined, solution exists) j. 4 ÷ 0 (undefined, solution does not exist)e. 5 · 8 (defined, solution exists) h. 0 ÷ 0 (indeterminate, solution does not exist) Euclid of Alexandria and his Book Elements. Photo retrievedfrom https://miro.medium.com/max/500/1*4ijBUB_OSisa7Y2Fmrihw.jpegPage 2 of 72 Considering the entire set , Only Addition and Multiplication are defined to all elements of? (Hence, BINARY OPERATIONS)DEFINITION:A Mathematical System is a set with one or more binary operations defined on it, anda binary operation is a rule that assigns to 2 elements of a set having a unique third element.PROPERTIES OF BINARY OPERATIONS/BINARY PROPERTIES CLOSURE OF A SET (Special Property of Binary Operation)“A set is said to be closed under binary operation * if for any two members from the set, theresult of the binary operation returns a member of the set.”Example: for all elements under the given SET OF INTEGERS (Z),If 5+2=7, then this equation is closed.If 5*2=10, then this equation is also closed.(1) Note that 5 and 2 are members of the set of all integer numbers(2) Performing any binary operation to 5 and 2 will produce 7 (ifaddition) and 10 (if multiplication)… and 7&10 are both integers as well(3) Going back to the definition of CLOSURE, (5+2=7) and (5*2=10)are closed because the 2 members of the integer set (5 and 2) producedanother members of the given set of integers (7 and 10)Determine if the operations and equations below are closed or not:There’s a given set X.X=1, 2, 3, 4, …100Is (25 and 75) closed under the binary operation?Check!By addition: 25+75=100 (25,75, and the third element 100are all members of the set X.Hence, CLOSED under addition)By Multiplication: 25*75= 1875 (25 & 75, are all members of theset X. However, 1875 doesnot belong to set X. Hence,NOT CLOSED undermultiplication)For the remaining 4 basic binary properties…Suppose we consider a finite set S = 1, 2, 3, 4 and a binary operation , and let theoperation be defined on the following table.1 2 3 41 2 1 4 32 1 2 3 43 4 3 2 14 3 4 1 2We could see that the mapping of 1 onto 3 is 4, or simply written as 13 = 4. Similarly, 23 =3. We note that, the operation is closed in S because said operation is defined in all elementsof S. Page 3 of 72 COMMUTATIVITY“A Binary operation * defined on a set R of real numbers is COMMUTATIVE ifa*b=b*a, for all a, b are elements of R”We can also verify that13 = 4 and31 = 4.Also, 24 = 4 and42 = 4.This shows that the operation is commutative…We can verify this furthermore because there is a symmetry that exists with respect to thediagonal.1 2 3 41 2 1 4 32 1 2 3 43 4 3 2 14 3 4 1 2 ASSOCIATIVITY“A Closed Binary operation * defined on a set R of real numbers is ASSOCIATIVE ifa*(b*c)=(a*b)*c, for all a, b, c are elements of R”We also verify whether 1(23) = (12)3 or not.We take the innermost operation first, as it was introduced to you in elementary and highschool.1(23) = (12)313 = 1 34 = 4.Another…3(14) = (31)433 = 442=2 EXISTENCE OF IDENTITY“An identity element of a binary operation is a single element that will return to its originalvalue when the operation is performed.”The identity element of the binary operation * on a set S is wfor which a * w = a, for all a, w are elements of S. Page 4 of 72 Notice that,1 2 = 1 3 2 = 32 2 = 2 4 2 = 4.Thus, 2 is the identity element of the binary operation . EXISTENCE OF INVERSE“The inverse of the binary operation * on a set S is efor which a * e = w, where w is the identity element of * on S,and where all a, e, w are elements of S”We can also decipher from the given operation that: (note that we have previously seen that 2is the identity element of the binary operation on set S)1 1 = 2 3 3 = 22 2 = 2 4 4 = 2.We can say that the inverse of 1, written as 1-1, is 1; the inverse of 2 is 2 or 2-1 = 2. Similarly,3-1 = 3 and 4-1 = 4.FORMATION ACTIVITYAnswer the attached Activity on the Anticipation Guide for Binary Operation, titled as BinaryOperations – “Do Now” retrieved from https://www.easyteacherworksheets.com/math/algebrabinaryoperations.html.2. Based from their answers on the Activity, ask the following:2.1. How important is the concept of set in understanding amathematical system?2.2. Why are the properties of binary operation important inunderstanding the nature of a given mathematical system?2.3. A certain mathematical system may be designed in order tosolve certain issue of humanity. What is your stand on theadage: Mathematics, as building block of technology,revolutionizes society? Explain further your answer.SYNTHESIS ACTIVITY1. Design any semantic map or diagram that would show the relationship of the followingterms. Give a brief description of your map.binary operation set mathematical system closure propertyCommutativity associativity identity inverse2. Complete the given KWL Chart to show what you know, what you wonder and what youhave learned from this lesson.What I KNOW about this lesson? What I WONDER about this lesson? What do I LEARNED from this lesson? Page 5 of 72 ASSESSMENT1. Suppose we consider a finite set X = N, I, K, O and abinary operation ®, and let the operation ® be defined on thefollowing table:®N I K ON K N I OI N K O IK I O K NO O I N KDetermine if the binary operation ® exists and is defined in thegiven set X by verifying all the Binary Properties: CLOSURE COMMUTATIVITY ASSOCIATIVITY EXISTENCE of IDENTITY EXISTENCE of INVERSE2. Why the ordinary division (÷) is not a binary operation in theset of real number?3. Let the operation © be defined on a set of integer Z,such thata © b = 2a – b, for all a, b ZFind the value of3 © (-1) = ________Hint: substitution of values for a and b… Page 6 of 72 4. In relation to number 3, is operation © closed or not? Pleasejustify5. 0 1 2 30 0 1 2 31 1 2 3 02 2 3 0 13 3 0 1 25.1. Is closed? Justify.5.2. Show that is commutative5.3. Does Associativity in exist? Justify.5.4. What is the identity element of the operation ?5.5. What is/are the inverse element(s) of the operation?REFLECTIVE LEARNING6. Cite a certain mathematical system applied to the program orcourse that you are taking. Describe how mathematical systemswork and benefit the humanity. Page 7 of 72 RESOURCES:Baltazar, Ragasa, & Evangelista, Justina(2018). Mathematics inthe Modern World. C and E Publishing Inc.https://study.com/academy/practice/quiz-worksheet-binaryoperation-binary-structure.html.https://www.youtube.com/watch?v=A5bMGt8inM0&list=PL9bjpkdabbOsz314XDGNiS2s7o3ZDQPUJ&index=5https://www.youtube.com/watch?v=jKoMerdR2Ig.https://www.easyteacherworksheets.com/math/algebrabinaryoperations.html.Young Ocean (2019). Math and Magic: Euclid Defines Space.Retrieved on 5 July 2020 fromhttps://medium.com/@sunfaceman/math-and-magiceuclid-defines-space-ea987f61709c.


Discrete mathematics is a foundational field of arithmetic that performs a critical part in numerous educational disciplines, like computer science, engineering, and cryptography. Even so, mastering the intricacies of discrete math can be a daunting activity for a lot of students. No matter whether you happen to be struggling with combinatorics, graph principle, or any other discrete math subject matter, fear not! In this write-up, we will check out the importance of discrete mathematics, the common issues pupils encounter, and how you can get the ideal discrete math assignment aid to excel in your research.
The Importance of Discrete Arithmetic:
Discrete mathematics deals with countable, unique, and independent objects, generating it a important component of a variety of genuine-world programs. It provides the foundation for computer algorithms, community style, information encryption, and far more. Understanding discrete math is essential for pupils pursuing levels in pc science, arithmetic, and engineering. Nevertheless, the subject’s abstract character can pose problems.
Typical Problems Faced by Pupils:
Several students locate discrete arithmetic assignments to be demanding owing to the summary ideas associated. Subject areas like established concept, propositional logic, and recursion can be hard to grasp initially. Additionally, the problem-resolving character of discrete math often demands a distinct approach than standard calculus or algebra. Time constraints and intricate assignments can add to the anxiety.
Looking for Discrete Math Assignment Help:
If you’re having difficulties with your discrete math assignments, do not despair. There are numerous methods accessible to support you realize success. Listed here are some valuable choices:
On the internet Tutorials: Several online platforms offer cost-free tutorials and video clip lessons on discrete math topics. Web sites like Khan Academy and Coursera supply accessible sources to boost your understanding.
help with my math homework Educational Assist Centers: Most universities and faculties have academic help facilities in which you can access tutoring solutions. These facilities usually employ skilled tutors who can help clarify principles and resolve problems.
Specialist Tutors: For personalised guidance, contemplate selecting a specialist tutor specializing in discrete arithmetic. They can supply one-on-one assistance personalized to your distinct wants.
On the web Assignment Help Solutions: If you might be having difficulties with a especially demanding assignment or going through a tight deadline, you can seek discrete math assignment help from on-line providers. These platforms offer you skilled guidance in finishing your assignments precisely and on time.
Discrete mathematics is a vital topic for pupils pursuing various STEM-connected fields. While it may possibly pose difficulties, there are quite a few assets accessible to help you conquer them. No matter whether you pick on-line tutorials, educational support centers, specialist tutors, or on-line assignment assist companies, the important is to find guidance when needed and continue to be fully commited to mastering the subject. With the correct assistance, you can excel in your discrete math assignments and develop a robust foundation for your tutorial and expert journey.


There is growing support for making the study of mathematics to the age of 18 years compulsory for all young people in England. This article aims to inform this debate through new insights into historic A-Level Mathematics participation trends. We analyse full-year cohorts of 16-year-old students from the Department for Education’s National Pupil Database from 2004 to 2010, a total of just over 4.5 million young people. Using a cohort-tracking approach, we aim to better understand the flow of young people through upper secondary mathematics education. Earlier work identified General Certificate of Secondary Education (GCSE) attainment as the strongest predictor of A-Level Mathematics participation. In this article, we show that the percentage of students progressing to A-Level by GCSE grade has not changed significantly over the period in question, with some exceptions. This implies that the increase in A-Level Mathematics numbers is largely explained by the growing proportion of higher GCSE grades. We discuss the implications for policy that this raises, e.g. the possible impact of making GCSE mathematics more demanding.


I have a good friend, Mike, who works for the government. We were talking the other day about resource costs (we were speaking hypothetically, we didn't exchange any proprietary information). As a Project Manager, I've always thought in terms of resource costs as dollars per hour and sometimes as dollars per day. But, Mike was talking about resources in terms of thousands of dollars per year.
I can see that for PMs, this would be a much better way to measure resource costs on a project.
You can use the rule of thumb of 2000 hours per year to multiply by the hourly fully-loaded rate to get the yearly rate.
Of course, if the resource is only working for 6 months you can easily divide by two. Or, if the resource is only quarter time or a quarter of the year you can divide by 4.
It's all straight forward, but I find it easier to look at resource costs in this $1000/yr view. It also makes it so much easier to add up resources quickly to estimate project costs.
Resource A is $100/hr with 30% overhead. This translates to $130/hr or $260,000/yr
Resource B is $140/hr with 50% overhead. This translates to $210/hr or $420,000/yr
If I have a project (or task) with 2 A resources and 3 B's, the that's $520K plus #1260K= $1780K/yr
If it's a six month project (or task), then that's $890K for the project (or task).
I hope this little trick helps you out like it does for me.


Greater Manchester has taken the crown as the smartest place in the country, new research can reveal.
In Greater Manchester, 48% percent more students on average achieve the top GCSE grade of 9 in the core subjects of Maths, English Language and Literature, Chemistry, Biology, and Physics than the average for all regions on the list.
Greater Manchester also has over 200% more students attaining Grade 9s on average than Kent, the region where students achieve the fewest Grade 9s.
The research, by international education providers Oxford Summer School, analysed new data from the Office of Qualifications and Examinations Regulation (Ofqual) to discover which areas in the UK achieved the highest average results for core GCSE subjects in 2021.
Tyne and Wear is the second most intelligent area in the UK, with 45% more students achieving a Grade 9 in the core subjects than the average for all regions surveyed.
Tyne and Wear also has 214% more students attaining a Grade 9 in Maths, Science and English Language and Literature than Kent.
Cambridgeshire is the third smartest region in the UK, with 44% more students in the area achieving a Grade 9 in GCSE Maths, Science and English Literature compared to the average.
Cambridgeshire is also the UK’s most talented area for Maths, with more students achieving a Grade 9 in the subject than anywhere else in the UK.
Buckinghamshire is also among the most intelligent places in the country. In Buckinghamshire, 42% more students attain Grade 9s in core GCSE subjects than the average for all regions surveyed.
While Shropshire does not make the list of top 15 most intelligent places, the county is the most successful when it comes to studying English, with 70% more students attaining a Grade 9 in English Language and Literature than the average for all UK regions on the list.
At the other end of the scale, Kent is the area where students achieve the lowest percentage of Grade 9s in the key GCSE subjects of Maths, Science and English Language – 53% less than the average for all regions.
Places such as Merseyside, Suffolk and Surrey also rank lower on the list, with students achieving 33%, 25% and 20% fewer Grade 9s at GCSE than the average for all UK areas.


Maison & Objet 2013: Bitossi Ceramiche | The Fibonacci series designed by Brian Sironi
At Maison & Objet 2013, Bitossi Ceramiche presented the Fibonacci series designed by Brian Sironi, with which is known for the numerical sequence of the known mathematical results in two cylindrical vessels and a ceramic bolus. Each element of the collection is made up of Fibonacci rings that grow in height respecting the evolutionary model of sequence, in which the next number is the sum of the two previous numbers.
The series are made of three objects: two cylindrical vases and a bolus which is also cylindrical. All turned and engraved by hand, they are available in two colors, a gray and a brown, applied with a brush and then sponged with water to give a striped effect and variously nuanced.


This book contains a mathematical exposition of analogies between classical (Hamiltonian) mechanics, geometrical optics, and hydrodynamics. This theory highlights several general mathematical ideas that appeared in Hamiltonian mechanics, optics and hydrodynamics under different names. In addition, some interesting applications of the general theory of vortices are discussed in the book such as applications in numerical methods, stability theory, and the theory of exact integration of equations of dynamics. The investigation of families of trajectories of Hamiltonian systems can be reduced to problems of multidimensional ideal fluid dynamics. For example, the well-known Hamilton-Jacobi method corresponds to the case of potential flows. The book will be of great interest to researchers and postgraduate students interested in mathematical physics, mechanics, and the theory of differential equations.
|Statement||by V. V. Kozlov|
|Series||Encyclopaedia of Mathematical Sciences -- 67, Encyclopaedia of Mathematical Sciences -- 67|
|The Physical Object|
|Format||[electronic resource] :|
|Pagination||1 online resource (viii, 184 p.)|
|Number of Pages||184|
|ISBN 10||3642075843, 3662068001|
|ISBN 10||9783642075841, 9783662068007|
Dynamical Systems X rd Edition by Victor V. Kozlov (Author) ISBN ISBN Why is ISBN important? ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book. The digit and digit formats both work. Cited by: 8. "Even though there are many dynamical systems books on the market, this book is bound to become a classic. The theory is explained with attractive stories illustrating the theory of dynamical systems, such as the Newton method, the Feigenbaum renormalization picture, fractal geometry, the Perron-Frobenius mechanism, and Google PageRank."/5(9). The English teach mechanics as an experimental science, while on the Continent, it has always been considered a more deductive and a priori science. Unquestionably, the English are right. * H. Poincare, Science and Hypothesis Descartes, Leibnitz, and Newton As is well known, the basic principles of. and Dynamical Systems. Gerald Teschl. This is a preliminary version of the book Ordinary Differential Equations and Dynamical Systems. published by the American Mathematical Society (AMS). This preliminary version is made available with. the permission of the AMS and may not be changed, edited, or reposted at any other website without.
In addition, New ton discussed a large number of problems in mechanics and mathematics in his book, such as the laws of similarity, the theory of impact, special vari ational problems, and algebraicity conditions for Abelian integrals. Almost everything in the Principia subsequently became classic. In this connection, A. N. This chapter focuses on the small noise ergodic dynamical systems. It presents some recent results in small noise problems in the ergodic case and some possible implications for small noise ergodic control problems. It also presents an assumption in which Y 0 (x) is the optimal feedback control in the infinite-time deterministic control problem. Dynamical Systems by Example Barreira, L., Valls, C. () This book comprises an impressive collection of problems that cover a variety of carefully selected topics on the core of the theory of dynamical systems. Linear dynamical systems can be solved in terms of simple functions and the behavior of all orbits classified. In a linear system the phase space is the N-dimensional Euclidean space, so any point in phase space can be represented by a vector with N numbers. The analysis of linear systems is possible because they satisfy a superposition principle: if u(t) and w(t) satisfy the differential.
This is the internet version of Invitation to Dynamical Systems. Unfortunately, the original publisher has let this book go out of print. The version you are now reading is pretty close to the original version (some formatting has changed, so page numbers are unlikely to be the same, and the fonts are diﬀerent). Dynamical Systems is a collection of papers that deals with the generic theory of dynamical systems, in which structural stability becomes associated with a generic property. Some papers describe structural stability in terms of mappings of one manifold into another, as well as their singularities. The book is useful for courses in dynamical systems and chaos, nonlinear dynamics, etc., for advanced undergraduate and postgraduate students in mathematics, physics and engineering. Discover the. The book introduces dynamical systems, starting with one- and two-dimensional Hodgkin-Huxley-type models and continuing to a description of bursting systems. Each chapter proceeds from the simple to the complex, and provides sample problems at the end.


“I came in struggling with Mathematics but left confident and on a grade A. The classes were really fun and I learnt more in one session than I did in a week at school. They even helped me with my personal statement and university interviews.”
A Dooley – Started with a Grade D, achieved A*. Studies Physics at Imperial
"I thought my AS Grade would make it impossible to go to LSE. I am so glad I joined when I did. I would not have gotten into Uni without them."
S Patel – Started with a Grade C, achieved A*. Studies Economics at LSE
“ELITE Tuition is so different from the other maths tutors I’ve had. The were very organised and knew exactly what I was doing at school. My tutor gave me so much support whenever I got stuck. I wish schools taught me this way.”
H Tsung – Started with a grade D, achieved A*. Studies Mathematics at Kings College, London.


Welcome to Maple Class!
We are looking forward to an exciting and fun year in Maple Class. Please see below for notices and more key information about what we are learning this year.
Can all children please bring a named water bottle everyday.
During Spring Term we will be doing forest school on Tuesdays. Can all children please come to school in waterproof clothes and wellies.
Our PE day for the Spring Term is Wednesday. Can all children please come to school in their PE kit on this day.
Children are expected to read aloud to an adult at home as regularly as possible. Similarly, TT Rockstars and Reading Eggs should be completed at home on a regularly basis (at least 3 times a week). If you require any further information or the login details for your child, please email the school office.
Spring 1 English
This half term we will be writing diaries, newspaper reports and developing our descriptive writing skills. Our class novel will be Secrets of a Sun King by Emma Carroll. Children do not need to have their own copy of the book, although it is recommended.
Spring 1 Maths
We will be continuing our learning using the Power Maths scheme this year. This half term Year 4, 5 and 6 will be learning about the four operations (addition, subtraction, multiplication and division) and fractions. We will apply formal written methods to solve problems and answer word problems, alongside mental arithmetic strategies.


Hey readers, here you can get your searched book Elementary differential equations 11th edition. Please first read all the brief contents.
So you can understand the book before download it. Just go to and click the DOWNLOAD button. Then the download will be started.
|Filename||Elementary Differential Equations and Boundary Value Problems Eleventh Edition by William E. Boyce, Richard C. Diprima and Douglas B. Meade|
|Uploaded on||June 7, 2020|
Author of Elementary differential equations 11th edition
Table of Contents
- First-Order Differential Equations
- Second-Order Linear Differential Equations
- Higher-Order Linear Differential Equations
- Series Solutions of Second-Order Linear Equations
- The Laplace Transform
- Systems of First-Order Linear Equations
- Numerical Methods
- Nonlinear Differential Equations and Stability
- Partial Differential Equations and Fourier Series
- Boundary Value Problems and Sturm-Liouville Theory


Popular belief tends to paint boys as math and science wizards and girls as language masters. However, new research from China suggests that girls are actually better in math because of their superior verbal skills. According to the study, which was published in the journal Psychological Science, arithmetic in particular requires verbal processing, which puts girls at an advantage.
In the study, researchers examined children from the ages of eight to 11 who were enrolled in 12 different primary schools in and around Beijing. Results revealed that girls were actually better at arithmetic, specifically in simple subtraction, multiplication, and numerosity comparison. They were also better at recognizing numbers with higher values and and at completing number sequences. Boys, on the other hand, seemed to perform better at rotating three-dimensional figures mentally.
What girls have over boys are their verbal skills—their ability to tell which word rhymes best with another being one of them. "Arithmetic and even advanced math needs verbal processing," says Xinlin Zhou of Beijing Normal University, co-author of the study. After all, counting is verbal. So is committing the multiplication table to memory.
The results, however, are not meant to create disparity between boys and girls in the classroom. They are meant to help close the learning gap instead. Girls can improve on their spatial skills, while boys can work on their verbal skills. With this knowledge, teachers and parents can address the learning problems their students encounter more proactively.
Help your children with their studies! Check out these articles for tips:
- 10 Ways to Get Involved in Your Child's Education
- 5 Tips to Help Your Kids Study for Finals
- Homework Haven: 6 Tips to Make Your Kids' Study Area More Fun
(Photo by jimmiehomeschoolmom via Flickr Creative Commons)


With new regulations after the 2007/2008 global financial crisis banks are have to perform increasingly demanding calculations on a daily basis. Managing counterparty credit risk has become the prime focus of the banks’ risk departments. With the recent Fundamental Review of the Trading Book (FRTB), new regulations to calculate market risk and CVA capital have been released by the Basel Committee which are more demanding than before. Further, the new margining rules for bilateral trades require to post initial margin for increasing numbers of trades – to be computed with the sensitivity-based ISDA SIMM methodology. And an increasing number valuation adjustments (XVAs) need to be considered when valuing trades, each requiring complex Monte-Carlo simulations to calculate. Banks struggle to cope with the computational complexity of these tasks.
This paper reviews the complexities in credit exposure calculations, FRTB SBA, FRTB IMA, FRTB SA-CVA, SIMM, and XVA calculations and gives a set of practical recommendations on how to optimise a software implementation.