4 edition of Mastering mathematical concepts found in the catalog.
Mastering mathematical concepts
|Statement||Yoshiko Yamato, Mary Jane Cordón.|
|Contributions||Cordón, Mary Jane.|
|LC Classifications||QA39.2 .Y3 1991|
|The Physical Object|
|Pagination||vi, 458 p. :|
|Number of Pages||458|
|LC Control Number||90080980|
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Arithmetic instructs the algorist on the left and the abacist on the right. This illustration attempts to depict a conflict between calculation and counting mathematics.
This site is not intended to be a substantive historical work on the subject of the history of mathematics, but I felt compelled to include a little background so that we can appreciate the depth and breath of the history of math. With this history in mind, we can see that the scientific calculator represented a, glorious, fleeting moment in the progression of man's understanding of science and engineering. I've arbitrarily classified the basic components of mathematics into five broad areas:
This arbitrary breakdown also gives us some insight into how functions on modern scientific calculators are segmented. Each of these areas requires specific computational resources and it is these resources that make the design of good scientific calculators a challenge.
Before launching into any detail, I thought that it would be a good idea to discuss some mathematical concepts that we all know a little about, but may have forgotten. The foundations of some the topics I'll discuss later go back as far as 5000 B.C. but mathematics as rigorous intellectual, abstract, pursuit didn't get interesting until about 300 B.C. This was the rough time frame of the publication of Euclid's The Elements. By any standard, The Elements is one of the most enduring books in history. Over 1000 editions have been published in basic form right through the twentieth century. Nothing in Elements was written in stone. As a matter of fact it was written on parchment and rolled onto wooden sticks. Longer works were cut into shorter strips and then collected as a "book". One of the most unique things about Elements is that it exists at all. Much of the work from this time disappeared because of fragile nature of the media. I often wonder what, from our era, individuals will be reading in the year 3000. The Greeks and Euclid in particular left us with a solid basis for the development of later mathematical thought, but they also saddled us with a lot of baggage, which would have to be shed before our understanding of mathematics began to grow. The Greeks tended to look at numerology in a spiritual way and often searched for deep meanings in the nature of mathematics. Euclid played a great role in recording historical facts as well as discovering some interesting mathematical forms. Euclid is often associated with geometry, but we wouldn't be giving the guy enough credit if we didn't also remember him for his work in the theory of numbers. Euclid did much of the founding work in the theory of prime numbers and "perfect" numbers. Both areas are still fertile areas for discussion today (well, for those of us with no social lives to speak of.....) At the risk of adversely affecting your social life, let's take a look at perfect and prime numbers.
A Perfect number is defined as a number, the sum of its aliquot divisors ( or factors ) equals the number itself; by aliquot, we mean all the factors of the number including unity (1), but not the number itself. The number six (6) is the smallest perfect number: its factors(not counting itself) are 1,2, and 3. Their sum is six. The next perfect numbers are 28, 496, 8128, and 3,355,036. Can you see the pattern? There isn't one, but Euclid deduced that a perfect number could be always be represented by the following algebraic form: (2^(n - 1))X(2^n-1) , where ^ represent "to the power of " and n is a positive integer such that 2^n -1 is prime. The first five such solutions to this are n= 2, 3,5,7, and 13. These numbers all happen to be prime. This might lead one to assume that 2^prime - 1 = a prime number, but Euclid also knew that couldn't be proven. In fact it has been shown that there are prime numbers that do not result in a new prime number when used in that equation. Euclid simultaneously introduced broad theoretical concepts to numerology, while insisting upon rigor and logic to confirm the concept as well as the result. It's important to remember that this was happening over two thousand years ago: raising 2 to an integer power (that also happened to be prime), building a series of numbers whose magnitude rapidly reached into the millions . To this day, mathematicians still can't predict the occurrence of a perfect number between two arbitrarily spaced primes! Another interesting point, there was no "algebra" during this period and the Greek arithmetic was not ten based.
A golden rectangle was defined by the Greeks as a rectangle whose sides "a" and "b" obey the following mathematical convention: a/b = (a+b)/a . This is a quadratic equation that has a solution that can be found by setting b= 1 and solving the equation such that a = (a+1)/a . The solution to the quadratic is (1 + sqrt(5))/2 or about 1.618. The Greeks considered this ratio to be the most visually pleasing ratio.
Mathematics is often thought of as a genteel, scholarly pursuit. For the most part, the history of mathematics reflects the history of the civilizations from which it grew. In this section, we'll take a look at people who were killed as a direct consequence of their interaction with math or science.
Archimedes gets the shaft.....literally
Probably the best known mathematician to have died a violent death while practicing math was Archimedes. Not much detail is known about his life, but his work and his death have been well chronicled. Archimedes lived in Syracuse. Between 214 and 212 B.C. (The Second Punic War) the city was besieged by Roman solders. Archimedes is known to have helped the battle against Rome through his development of unique weapons such as catapults, pulleys, and devices to set fire to ships. The account of Archimedes death comes from the account of Plutarch's description of the life of the Roman General, Marcellus. According to this account, Marcellus ordered that Archimedes be spared during the sack of Syracuse. It is said that a soldier came upon Archimedes as he drew a diagram in the sand. The soldier ordered him to move and Archimedes waved him off. The Roman soldier killed him on the spot. While the Romans were never known to be easy on the conquered populace, they were really hard on the hired help. Marcellus ordered the soldier and his entire family killed.
Hypatia's opinions are somewhat unappreciated.....
Technical education of women (or any education for that matter) is a relatively new concept. The story of Hypatia of Alexandria underscores the contributions that were probably lost as a result of the practice of not educating women. The spirituality of the Greeks has been well documented but what isn't well known is degree to which mathematics was combined with the mystical aspects of Greek life. Mathematics was woven in the fabric of Greek mysticism. The search for perfect numbers was more than a curiosity, it was a religious imperative. Out of this back drop came Hypatia. She was the daughter of Theon, the mathematician. Both she and her father were pagans, Platonists and Pythagoreans. She was a superb scholar and she was beautiful. It is said that she lectured from behind a screen to save the students from distraction (as opposed to today, where teachers have to lecture from behind bullet proof glass to save their lives). She lived during the third century AD and the politics of religion had begun its assault on the intellectual process. The absolutism of the Christian church, coupled with the expectation of the Second coming of Christ, made intellectual pursuits a waste of time. Who needed intellect if Christ was coming back? (Unlike today, where the government has replaced the second coming with social programs...) Hypatia didn't care much for the Christians and she made it known. To make matters worse she got involved in local politics. She also had a bad habit of stopping strangers and lecturing them on the philosophies that she espoused (hey, she was a woman, you know). She ended up getting caught in a feud between two politicians (one a former student and the other, the Patriciarch of Constantinople ). The Christians fell upon her during an anti-Roman demonstration. They dragged her into a church, stripped and murdered her and then quartered and burned her corpse...all in devotion to Christ (At least they didn't keep their feelings inside....) . Hypatia was the last of the pagan scientists. Her death in 415 A.D. coincided with the acknowledged end of the Roman empire and predicated the Dark Ages. No substantive advances in the knowledge of nature or math would occur in Christian Europe for the next 1000 years. Hypatia's untimely demise was to become a call to arms for generations of European free-thinkers, scientists , and anti-Catholics in a battle for intellectual freedom that rages to this day.
Maybe we should start with the question: What is a sexagismal number? We deal with sexagismal numbers all the time ( yes, that was a very bad pun). sexagismal numbers are based upon fractions of 60. Sexigismal numbers are the bases of our measures of degrees , minutes, seconds and hours, minutes, and seconds. Now we have a new question: How did the division of a circle and the division of a day come to have the same fractional components? The answer lies in a number system based on the sum of fractions of 60 that preceded both the notions of length of a day and division of the circle. As you might guess from that statement, sexagismal numbers are old; very old.
Greek astronomy held that the daily passage of the sun through the heavens relative to the fixed stars was a constant angular distance. The passage took approximately 360 days (hey, who's counting?) and the concept of the degree was born. It's interesting to note that we have lived with a system of measure based upon an incorrect estimate of the length of a year and a model of planetary motion that was just plain wrong.
To get to the first vestiges of a base 60 numeric system we have to go back almost 6000 yes to the region then known as Sumeria. Sumerians were the first city dwellers. They actively traded goods, owned land, and by all accounts, had their share of disputes about price, ownership and value. In short: same problems, different millennia. The trade issues necessitate the development of a written language, and numerical system. They weren't worried about recording history, they were interested in recording profit. The mathematics of Sumeria preceded the invention of an alphabet by a few millennia, so it took a bit of time to decipher what they were recording and the numerology had a profound defect, which I'll talk about in a moment. Like the modern Arabic notation we use, the Sumerian numerical system was ordered right to left. For comparison purposes, let's take a look at our system first. The number 349 is really a short form of the numeric expression (3*100) + (4*10) + (1*9) + (0). The Sumerian expression 3,4,9 could mean (3*60) + (4*1) + (9/60) or it might mean (3*1) + (4/60) + (9/360). The numerology of Sumeria was context based, they didn't have a position for zero. They could form numbers with extreme precision, but without a context, the magnitude remains unknown.
The Sumerians recorded their numbers on clay tablets using a stylus. Tables were calculated of fractions of 60 and numerical equivalents were derived for sums of fractions. The clay dried and the records, while somewhat hard to decipher, represented a monumental amount of accumulated calculation. This effort was, as they say, "cast in stone". Over 4 millennia, Sumeria came and went, but those hardened tablets were recorded by many later civilizations .The beauty of the Sumerian system lay in it's extreme precision in fractions. The factors of 60 are 1,2,3,4,5,6,10,12, 15, 20 and 30. In the base 10 system the factors are 1,2, and 5. There is no exact numerical representation for the value of 1/3 in a base 10 system but in Sumerian notation it is simply 20/60. The paradox of Sumeria is the extreme precision coupled with a total lack of accuracy. This a common mathematical thread which holds older civilizations together. The fractions that the Sumerians labor sly cast in stone would become the basis for calculation of astronomical movements 4000 years later by the Greeks, and used in timing calculations to land a man on the moon over 6 millennia later.


|Last-Modified:||2011-06-28 00:40:02 +1000 (Tue, 28 Jun 2011)|
|Author:||Nick Coghlan <ncoghlan at gmail.com>|
In honour of Tau Day 2011, this PEP proposes the addition of the circle constant math.tau to the Python standard library.
The concept of tau (τ) is based on the observation that the ratio of a circle's circumference to its radius is far more fundamental and interesting than the ratio between its circumference and diameter. It is simply a matter of assigning a name to the value 2 * pi (2π).
The idea in this PEP was first proposed in the auspiciously named issue 12345 . The immediate negative reactions I received from other core developers on that issue made it clear to me that there wasn't likely to be much collective interest in being part of a movement towards greater clarity in the explanation of profound mathematical concepts that are unnecessarily obscured by a historical quirk of notation.
Accordingly, this PEP is being submitted in a Deferred state, in the hope that it may someday be revisited if the mathematical and educational establishment choose to adopt a more enlightened and informative notation for dealing with radians.
Converts to the merits of tau as the more fundamental circle constant should feel free to start their mathematical code with tau = 2 * math.pi.
pi is defined as the ratio of a circle's circumference to its diameter. However, a circle is defined by its centre point and its radius. This is shown clearly when we note that the parameter of integration to go from a circle's circumference to its area is the radius, not the diameter. If we use the diameter instead we have to divide by four to get rid of the extraneous multiplier.
When working with radians, it is trivial to convert any given fraction of a circle to a value in radians in terms of tau. A quarter circle is tau/4, a half circle is tau/2, seven 25ths is 7*tau/25, etc. In contrast with the equivalent expressions in terms of pi (pi/2, pi, 14*pi/25), the unnecessary and needlessly confusing multiplication by two is gone.
I've barely skimmed the surface of the many examples put forward to point out just how much easier and more sensible many aspects of mathematics become when conceived in terms of tau rather than pi. If you don't find my specific examples sufficiently persausive, here are some more resources that may be of interest:
- Michael Hartl is the primary instigator of Tau Day in his Tau Manifesto
- Bob Palais, the author of the original mathematics journal article highlighting the problems with pi has a page of resources  on the topic
- For those that prefer videos to written text, Pi is wrong!  and Pi is (still) wrong  are available on YouTube
This document has been placed in the public domain.


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CU in Origami benefits the school community by adding to campus diversity. It brings the fields of art and mathematics together and helps students to be able to visualize two dimensional patterns as three dimensional shapes. It also demonstrates that there can be aesthetic qualities in mathematics, and that mathematics lies behind the aesthetic. This concept is likely to bring students from the three majors closer together, as origami has applications in art, architecture, and engineering.
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Use the Cases command if you want to do a proof by cases. If you select a given of the form P1P2...Pn and give the Cases command, then Proof Designer will break the proof into the cases P1, P2, ..., Pn. You can also break your proof into cases P and P, for any statement P. To do this, select the goal you want to prove by cases and give the Cases command. Proof Designer will ask you to type in the statement P that you want to use to determine the two cases.
If you are using a given of the form P1P2...Pn to determine the cases, then parentheses in the given can affect what cases you get. For example, if you select a given of the form PQR and give the Cases command, then you will get the three cases P, Q, and R. But if your given has the form P(QR), then you will get only two cases: P and QR. Thus, you may want to add or remove parentheses in your given before using the Cases command. Too add or remove parentheses, use the Reexpress command.


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You have been using the = character to name variables and set them to numbers or strings. We're now going to blow your mind again by showing you how to use = and a new Python word return to set variables to be a value from a function. There will be one thing to pay close attention to, but first type this in:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33
def add(a, b): print "ADDING %d + %d" % (a, b) return a + b def subtract(a, b): print "SUBTRACTING %d - %d" % (a, b) return a - b def multiply(a, b): print "MULTIPLYING %d * %d" % (a, b) return a * b def divide(a, b): print "DIVIDING %d / %d" % (a, b) return a / b print "Let's do some math with just functions!" age = add(30, 5) height = subtract(78, 4) weight = multiply(90, 2) iq = divide(100, 2) print "Age: %d, Height: %d, Weight: %d, IQ: %d" % (age, height, weight, iq) # A puzzle for the extra credit, type it in anyway. print "Here is a puzzle." what = add(age, subtract(height, multiply(weight, divide(iq, 2)))) print "That becomes: ", what, "Can you do it by hand?"
We are now doing our own math functions for add, subtract, multiply, and divide. The important thing to notice is the last line where we say return a + b (in add). What this does is the following:
As with many other things in this book, you should take this real slow, break it down, and try to trace what's going on. To help there's extra credit to get you to solve a puzzle and learn something cool.
$ python ex21.py Let's do some math with just functions! ADDING 30 + 5 SUBTRACTING 78 - 4 MULTIPLYING 90 * 2 DIVIDING 100 / 2 Age: 35, Height: 74, Weight: 180, IQ: 50 Here is a puzzle. DIVIDING 50 / 2 MULTIPLYING 180 * 25 SUBTRACTING 74 - 4500 ADDING 35 + -4426 That becomes: -4391 Can you do it by hand?
This exercise might really whack your brain out, but take it slow and easy and treat it like a little game. Figuring out puzzles like this is what makes programming fun, so I'll be giving you more little problems like this as we go.


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This free course seems at Scotsman John Napier, finest recognized to for his treatise on Protestant religion. However, it was his curiosity in a very different subject that radically altered the course of mathematics. After forty years of dabbling in maths, he revealed his table of logarithms in the early 17th century.
An international staff of researchers tested what the software program may manage by providing the generative AI program with difficult graduate-level arithmetic questions. While ChatGPT failed on a significant number of them, its appropriate answers suggested that it could possibly be helpful for math researchers and lecturers as a type of specialized search engine. Studying maths online means you could upskill whereas maintaining your day job, or complement present examine if you’re having a troublesome time with maths. Enjoy the pliability of learning online with Open Universities Australia. Unlike when you research through a traditional college, you possibly can enrol you in most of the undergraduate subjectsavailable through our web site instantly.
- Coursera provides a wide range of courses in math and logic, all of which are delivered by instructors at top-quality establishments similar to Stanford University and Imperial College London.
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- Some teachers may want to be more hands-off, Matthews said, because asking college students lots of prompting questions can feel like interrupting their problem-solving process.
Section 1 describes how to construct a gaggle referred to as the direct product of two given groups, and then describes sure conditions beneath which a gaggle may be regarded as the direct product of its subgroups. This free course is an introduction to Number Theory. Section 1 provides a short introduction to the kinds of drawback that come up in Number Theory. Section 2 critiques and supplies a more formal method to a strong method of proof, mathematical induction.
Math Nights Make the Subject Fun for Kids and Adults Alike. Three Tips to Host One at Your School Game nights assist ease adult nervousness about math, which can help students keep motivated to be taught it. Spotlight on Improving Math Fluency This Spotlight will allow you to assess math fact fluency, evaluate the challenges college students face with word issues, and more. Math Foundations For All Examine the roots of early math instruction, together with fluency, word problems, mother or father engagement, and the way to help struggling students.
Across the globe, 617 million children are missing primary math and reading skills. We’re a nonprofit delivering the training they need, and we need your assist. Created by specialists, Khan Academy’s library of trusted apply and classes covers math, science, and more. Learn Algebra 2 aligned to the Eureka Math/EngageNY curriculum —polynomials, rational functions, trigonometry, and extra. Learn differential equations—differential equations, separable equations, actual equations, integrating components, and homogeneous equations, and more. Learn statistics and probability—everything you’d need to find out about descriptive and inferential statistics.
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The aims of the Maths Curriculum
The aims of the Maths curriculum are to:
Equip students with the necessary numerical skills to become confident, competent users of mathematics be it in their day-to-day lives, further educational or working lives.
Enable students to link simple and complex mathematical concepts together through practice, improved metacognition and independent learning.
Foster and develop a culture and love for mathematics: a desire to try new ideas out, even at the risk of being incorrect but having the courage to try.
How we deliver Maths
Bolder Academy follows the national curriculum and the Mathematic Mastery Programme at Key Stage three to ensure there is both depth and breadth.
Students are taught:
Mathematical fluency – applying mathematical knowledge and skills rapidly and accurately to more complex problems over time.
How to reason mathematically – by following a line of enquiry, developing an argument and justifying conclusions using mathematical language.
How to solve problems – by applying their mathematical knowledge to a variety of routine and non-routine problems.
The design of the curriculum enables students to build upon prior knowledge from KS2 and tackle more complex ideas, concepts and skills.
Throughout KS3 students learn, practice and master key skills whilst continually developing their mathematical knowledge.
Furthermore, students are encouraged throughout their lessons to develop their mathematical language by extending their verbal responses using MAC (Method, Answer, Conclusion).
Wherever possible, students are given the opportunity to use Mathematics to solve problems that they may encounter as adults in the future, such as financial calculations including: budgeting, financial planning, working with interest rates, choosing a mobile network and applying for a mortgage - to name a few.
Our Intended Impact in Maths
We will know if we have been successful when our students live and breathe our three core values within the Academy and beyond. When they demonstrate:
Kindness: By working collaboratively in order to help others understand and enjoy mathematics as well as improving their own understanding through student led learning.
Strength: By understanding the importance of using and applying subject specific knowledge already learnt to a variety of routine and non-routine problems.
Bravery: To view mistakes as a learning opportunity and demonstrate perseverance in seeking solutions.
Equally we want to prepare students effectively for the current and next stage in their learning, whether this be GCSE or A Level examination, University study or the world of work.


I am working on a small program to allow users to type in lines of text and produce a .thr file of their message - for Birthdays, Greetings and the like. I've digitized a cursive alphabet and started printing messages on the table.
My Question is this - why does the table mirror output on the X axis (doing a Cartesian translation of the polar .thr file)? The letters are reversed. I've only noticed this since most of my previous submissions were symmetric objects and the mirroring was not apparent. I just mirror the Cartesian file on the X axis and it looks "normal". But is this just how the table software works?
That may be the answer - the more that I work on programming the table the more "quirks" I recognize in the software. Most people develop geometric based files where mirroring doesn't matter - but trying to create images are quite a different matter. I have written software that takes an x,y based image and converts it into the dialect of polar that the table speaks and just realized there was a reversal.
just my notes of the tables polar preferences vs the Cartesian equivalent
1) quadrants are different - for the normal 1,2,3,4 in Cartesian , the table "sees" 2,3,4,1 for the image - just a Pi/2 rotation fixes that.
2) The table is exquisitely sensitive to the value of Pi when you cross the 0 angle line clockwise or counterclockwise , otherwise it "jumps" in movement
3) The 0,0 area is problematic area for drawing - best to avoid or use tiny tiny increments when near it.
4) there is an x axis reversal of a Cartesian image by the table (when you translate the .thr file back to Cartesian you see an x axis reversed image actually drawn on the table)
5) When working from a Cartesian point base, the equivalent rho point must always be checked so it never exceeds 1
Anyway - I made an image and ran 4 cases - no flip, x axis flip, y axis flip and both axis flip. X gets mirrored and Y is the same as the Cartesian equivalent. One more thing to add to the software to compensate.


Contact deformation of bodies
As a result of contact interaction of bodies there is deformation of their surfaces which is called as contact deformation. Contact deformation practically does not have an influence on physical and chemical processes occurring in contact. However the elastic compliance of surfaces defines contact pressure which makes essential impact on these processes.
If the sizes of area of contact of bodies are small in comparison with characteristic radiuses of curvature of adjoining surfaces then at calculation of elastic displacement of surfaces at the set distribution of contact pressure it is possible with sufficient accuracy to consider these surfaces as flat and to use decisions of problems of the theory of elasticity for the medium limited to a plane. Such assumption is possible at calculation of some tooth gearings and rolling-contact bearings.
In the Cartesian system of co-ordinates the displacement along an axis of a point of the homogeneous elastic medium limited to the plane, under the influence of the pressure applied to its free surface, is defined under the formula
Here and are Young’s module and Poisson’s ratio accordingly, is domain in which pressure is distributed. If domain represents a strip, and pressure does not depend from, that is, then
If the sizes of domain of contact of bodies are commensurable with characteristic radius of curvature of adjoining surfaces that, for example, takes place in sliding bearings then calculation of contact deformations consists in the decision of corresponding problems of the theory of elasticity.


- Pennsylvania State University
Guest Lecturer: CMPSC 443: Introduction to Computer Security (Spring 2022)
- Purdue University:
Guest Lecture: CS 59000-DSP Data Security And Privacy (Spring '20)
CS 180: Problem Solving and Object-Oriented Programming (Fall '18, Spring '19): Primitive data types and strings, Standard operations on primitives and strings, If, switch, while, for, and do-while statements, Single- and multi-dimensional arrays, Finding and fixing bugs, Object-Oriented Programming, Exception handling, Concurrency, Input/Output (I/O), Graphical User Interfaces (GUIs), Dynamic Data Structures, Recursion.
- Daffodil International University (Fall '17, Spring '18):
CSE 131: Discrete Mathematics: Set theory; Relations; Functions; Graph theory; Propositional calculus and predicate calculus; Mathematical reasoning: induction, contradiction, and recursion; counting; Principles of inclusion and exclusion; Recurrence relations; Algebraic structures: rings and groups.
CSE 122: Problem Solving Lab ( C Programming Lab): data types, operators, expressions, control structures; Functions and program structure: parameter passing conventions, scope rules and storage classes, recursion; Header files; Preprocessor; Pointers and arrays; Strings; Multidimensional array; User-defined data types: structures, unions, enumerations; Input and Output: standard input and output, formatted input and output, file access; Variable-length argument list; Command line parameters; Error Handling; Graphics; Linking; Library functions. This is Laboratory work based on CSE 121.
CSE 414: Artificial Intelligence Lab: Introduction to old and new AI techniques; Knowledge representation; Propositional and first-order logic, inference in first-order logic; Frame problem; Search techniques in AI; Game playing; Planning; Probabilistic reasoning; Learning in symbolic and non-symbolic representation; Natural language processing. Introduction to an expert system. This is Laboratory work based on CSE 413.
CSE 415: Simulation And Modeling: Simulation modeling basics: systems, models and simulation; Classification of simulation models; Steps in a simulation study; Concepts in discrete-event simulation: event-scheduling vs. process-interaction approaches, time-advance mechanism, organization of a discrete-event simulation model; Continuous simulation models; Combined discrete-continuous models; Monte Carlo simulation; Simulation of queuing systems.
Building valid and credible simulation models: validation principles and techniques, statistical procedures for comparing real-world observations and simulated outputs, input modeling; Generating random numbers and random variates; Output analysis. Simulation languages; Analysis and modeling of some practical systems.


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The Mathematics Department at Shawnee State University is pleased to welcome Dr. Yuanheng Wang as a Visiting Scholar.
Dr. Wang has been a professor in the College of Mathematics, Physics and Information Science at Zhejiang Normal University located in China since 2001. Currently Zhejiang Normal University has 48,600 students enrolled there with around 2,830 staff and faculty members. He has taught over 20 advanced math courses and advised over 20 post-baccalaureate students. In addition to teaching, Dr. Wang has also served as a senator of Zhejiang Province for over five years. He has also been awarded the National Natural Science Fund of China.
While at Shawnee State, Dr. Wang will be working alongside Dr. Jinlu Li, Professor of Mathematical Sciences at SSU, in a joint research project. Together, Dr. Li and Dr. Wang will study the convexity, the generalized projection operator, the duality operators and the hyperplanes in Banach spaces. Part of their research will focus on new concepts of Schauder basis in both the separable and non-separable Banach spaces with some convex-concave properties.
Dr. Wang will remain at SSU until Sept. 5, 2017. He and Dr. Li hope to publish several articles based on their research.
Dr. Wang’s office is housed in the Mathematical Science Department in the Administration Building.


The project adapted and studied a promising and replicable teacher professional development (PD) intervention, called Collaborative Math (CM), for use in early childhood programs. CM content focused on nine topics emphasized in preschool mathematics, including sets, number sense, counting, number operations, pattern, measurement, data analysis, spatial relationships, and shape. Through several phases of development and research, the project investigated the contributions of project components on increases in teacher knowledge and classroom practices, student math knowledge, and overall implementation. The project reached approximately 200 Head Start (HS) teaching staff, better preparing them to provide quality early math experiences to more than 3,000 HS children during the project period.
Project Leader: Erika Gaylor
Funder: National Science Foundation (NSF)
Years: 2015 – 2020


7 edition of Fantastiks of mathematiks found in the catalog.
|Other titles||Fantastics of mathematics.|
|LC Classifications||QA37.2 .S5735 1986|
|The Physical Object|
|Pagination||xi, 143 p. :|
|Number of Pages||143|
|ISBN 10||0939765012, 0939765004|
|LC Control Number||86021326|
Social and economic policies to prevent complex humanitarian emergencies
Clinical manual for the study of medical cases.
Tide and Undertow
Advances in computer graphics hardware
Name index to the Library of Congress collection of Mormon diaries.
Australian book-plates, and book-plates of interest to Australia
economic returns to education
Dictionary of British sculptors 1660-1851.
Democracy in developing countries.
Standards of public library service in England and Wales
The Bugville Critters Have a Sleepover (Buster Bees Adventures Series #3, The Bugville Critters) (Buster Bees Adventures Series: the Bugville Critters)
The economic interpretation of history
Get this from a library. Fantastiks of mathematiks: applications of secondary mathematics. [Clifford W Sloyer] -- This book answers the cry of your most stubbornly reluctant mathematics student: But what's it good for.
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Published: () David Busch's Canon EOS 80D: guide to digital SLR photography / by: Busch, David D., Published: (). Lecture Notes in Mathematics. Book Series There are volumes in this series. This series reports on new developments in all areas of mathematics and their applications - quickly, informally and at a high level.
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FLORHAM PARK – The London Day School is bringing the Science, Technology, Engineering and Math (STEM) curriculum to its littlest preschool learners at the school at 10 Ridgedale Ave. in Florham Park, directly on the border with Madison.
Director Deanna Hansen said the London Day School is “committed to bringing the best and most current ideas and learning practices” to its students “so they are engaged and challenged every day.”
Hansen said expanding learning activities in the classroom with STEM is one such practice. “STEM by definition is an interdisciplinary approach to learning, where academic concepts in the areas of science, technology, math and engineering are used in conjunction with one another to create new, exciting and challenging activities for children,” she noted.
Over the next few months, Hansen said, the London Day School will be educating its staff about the STEM approach to learning and will begin incorporating STEM centers and lessons into all of its classrooms.
“Every class from our 2-year-old students through our kindergarten will have STEM incorporated at some level into their curriculum,” the school director said.
“We will be incorporating various STEM activities into our current curriculum to enhance our students’ experience and provide them with even more opportunity to explore subjects that are often forgotten in early childhood programs,” she observed. “A typical STEM center will allow children to work together on a project that will encourage them to use various skills in math, technology, engineering and science.”
She added that children will learn how to work together and take an investigative approach to solving problems. “We are excited that even our littlest learners will have the opportunity to have STEM centers in their classroom,” Hansen said.
“Along with the STEM program, educators are often finding that incorporating art into these centers and learning activities extremely stimulating and important areas for students to explore,” she noted. “This type of lesson is called STEAM. The London Day School will also be incorporating STEAM centers into the current curriculum,” and the school is “excited to see how students enjoy these new and enriching program additions,” Hansen concluded.
For information about the London Day School call (973) 377-0311.


The average speed is given by total distance divided by total time taken; this is the formula to be remembered all the time. Deutsch English (International) English (Asia) English (Europe) English (Middle East) English (N. Once you have all three formulas, use them to solve questions 1-5. 21) + (Oxygen flow x 1. 14 *13 *60 *3 * 8 * 3 * 0. at the end of this lesson for a visualization). cycle time 12 seconds. Cylinder (Swept) Volume (V)—Determined. If anyone can tell me it will be much appreciated,or at least the proper formula. Calculate the tangent distance and tangent offset for each station: β = 100 Stationing For each station to be established: γ = D β * station number on curve TD = R sin γ TO = R ( 1 - cos γ ). Armature constant K a , armature speed n in rpm & flux generated by the magnetic field φ in weber are the key elements in this calculation. 693 ; DRAFT = (feed weight in g/m) / (delivery weight in g/m) DRAFT = Tex (feed) / Tex(delivery) DRAFT = delivery roll surface speed / feed roll surface speed ; No of hanks delivered by m/c = (Length delivered in m/min) / 1. rpm= ⎛OD −ID Example: Determine the critical rotary speed for a 10,000 ft drill string consisting of 5 in OD/4. So, by using a reasonable estimated BSFC and a reasonable best-power air to fuel ratio, you can use Equation 7 to estimate the airflow required for a given amount of horsepower, and with Equation 3, you can calculate the airflow of your engine at a given RPM if it was operating at 100% VE. (it is notan increase in draft. PDF FILE - CLICK HERE FOR PRINTABLE WORKSHEET : Below are examples of the way to work out 'revolutions per minute', or RPM as it is usually called. 751, so $500 times. 4 ; Ne = Nm/1. The first, the object's angular velocity, describes its speed around its axis. 22-3 Energy, Momentum and Radiation Pressure. Specific Speed: arise from specific speed discussions are used. Engine RPM Calculation Basics Engine RPM, or the speed at which the engine turns, can be calculated at any speed given the vehicle's tire size, axle ratio, and final transmission gear ratio. 9 candida douche. The impeller tip speed plays a vital role for the centrifugal pump handling liquid contain solid particles. 0 ≤ e ≤ 1 'e' is a consequence of Newton's Experimental Law of Impact, which describes how the speed of separation of two impacting bodies compares with their speed of approach. Cutting Speeds & RPM Calculations Milling machines are used to perform a wide variety of machining operations. BTHP round, or its cousin, the 175-gr. n ：Rotational speed, min-1 Dp：Gear pitch circle diameter, mm α：Gear pressure angle, deg β：Gear helix angle, deg Because the actual gear load also contains vibrations and shock loads as well, the theoretical load obtained by the above formula should also be adjusted by the gear factor f z as shown in Table 4. To find your vehicle's RPM enter your Ring and Pinion Gear Ratio, Tire Height and Speed and press "Solve". Our goal in this activity is to estimate the velocity-time data by doing a calculation involving the postion data and to estimate acceleration-time data from velocity data. What is the linear speed of the slug in meters per second? Answer: The first step is to convert the amount of time the slug crawled for into seconds. Effective February 10, 2009 ABC Formula/Conversion Table for Wastewater Treatment, Industrial, Collection and Laboratory Exams Alkalinity, as mg CaCO3/L = Sample Volume, mL. Temperature: The temperature of a gas is a function of its kinetic energy, that is, how vigorously the gas atoms are vibrating. Then, mark the place on the blade with a marker or dab of paint so it's easier to keep track of. Metric Critical Speed Calculator. ---†Determine the operating pattern (relationship between time and speed) of each part that must be controlled. 54 Fundamentals of Balancing, 2 nd Ed. Borgsmiller's 8th Grade Science. If two wavelengths pass a given point each second, and the distance between wave crests is 3 m, what is the wave speed? 4. 2 inches, and two pulleys driven by the belt have diameters of 4. Employingθ° Calculate cutting speed at point P. Formula Sheet 1 Time Value of Money 1. What is the speed (v) of a wave that has a wavelength (λ) of 2 m and a frequency of 6 Hz? 2. A force refers to pushing or pulling of an object with mass to acceleration. This is the rotational speed where balls will not fall away from the mill's shell. The old formulas were designed to keep calculations short and manageable for manual calculation. RPM RPM Output Shaft Speed 257 19. With stepper motors, however, changing the voltage does not have any effect on the motor speed. More than one stages of pulley speeds can be calculated in a (compound drive system). 0 x √ 𝒊 𝒆 𝒑 𝒆 𝒆. Where the Ballistic Coefficient Came From. America) English (Oceania) Español (americano) Français (Europe) Português (Brasil) Русский 한국어 中文(简体) 日本語. H = head, ft P = pressure, psi SG = specific gravity H = head, m P = pressure, bar SG = specific gravity. Cutting depth 3. 81%) Performance. ND Filter Calculator The top row contains exposure times without a filter. 7) Using the equations described in section 6. The formulas work. Average Speed = The average speed in case of a journey from X to Y at speed of A m/sec and returning back to X at a speed of B m/sec, is. A lab report is written reporting the findings. Formulas have been derived to determine the minimum curve length for required sight distance for an equal tangent curve, depending on whether the curve is a sag or a crest. Spindle speed 2. Graphical gear calculator for bicycle gearing systems. For example, by switching from 8002 to 8001, you are automatically cutting the output in half. For example a LT265/75R16 would be around 31. Gears August 15, 2007 2 11. Wave calculations Aim To practise wave calculations. 230 Internal Combustion Engines Chap. Every tool manufacturer has a recommended table of sfm values for their tools. Pressure to Head. RAT = Return Air Temperature SAT = Supply Air Temperature (or mixed air temperature) OAT = Outside Air Temperature %RA = Percentage Return Air Calculating Duct Pressure VP = TP-SP TP = VP+SP TP = total pressure, in. The face angle was varied from 90 to 111 degrees for the three types of configuration 1, 2 and 4, as shown in the figure. 4 menopause: later formula 5. Calculate inertia of that individual component. This is a drug of the new generation which contains an active ingredient Acyclovir. More than one stages of pulley speeds can be calculated in a (compound drive system). Micronaire Value (Cotton): The unit is micrograms per inch. Horizontal Curve Formulas. limit) Machine RPM = (SPC X Loop length X 60)/cycle time In this case Machine RPM is = 4X200X60/12 = 4000. A man runs 200 m in 25 s. Calculations for a 351 CID engine are illustrated. Use the water velocity form to calculate the velocity of water in a pipe. d = diameter of the ball. *Using Cutting Speed and Diameter you can calculate RPM as shown further down on this page. position holding, speed range, operating voltage, resolution, durability, etc. The cross-country navigation of an aircraft involves the vector addition of relative velocities since the resultant ground speed is the vector sum of the airspeed and the wind velocity. Check the circle next to the item you are solving for and enter the remain three items in the spaces provided. Not to be used in place of real testing. Formulas for Physical Science so far(will be updated as more are learned). 03 × W × (2 x D -L) × (L - D ÷ 2) Where V = displacement in in³/rev W = gear width in inches. Formulas for gears calculation – internal gears Contens Internal spur gears with normal profile Internal spur gears with corrected profile • Without center distance variation • With center distance variation Internal helical gears with normal profile Internal helical gears with corrected profile • Without center distance variation. chord = 100 ft. This indicates that the vibration is synchronous to RPM. FORMULA FOR: FLUID POWER FORMULAS ACTUATOR FORMULAS - CONTINUED WORD FORMULA LETTER FORMULA CYLINDER VELOCITY or SPEED In FeetJSerond CYLINDER VOLUME CAPACITY In Gallons of Fluid CYlINDER flOW RATE In Gallons Per Minute flUID MOTOR TOROUE In Inch Pounds flUID MOTOR TOROUE/100 psi In Inch Pounds FLUID MOTOR SPEED In RevoIulions/Minule FLUID. The face angle was varied from 90 to 111 degrees for the three types of configuration 1, 2 and 4, as shown in the figure. (SPINNING CALCULATION-1) 36 * 16 rpm = 30000 * 36 * 16 9 *3. Wind turbine power calculator. WIND LOADS CALCULATION PER BS 6399-2 FOR A BASIC WIND SPEED OF 25 m/s Vb≔25 ― mmmm ssss basic wind speed Kb≔1 building type factor in accordance with BS 6399-2 Table 1. 95 (for limited time). You might think, \well, Qis just x You might think, \well, Qis just x times xtimes x, so I can use the formula for multiplication of three quantities, equation (13). Engine RPM Calculation Basics Engine RPM, or the speed at which the engine turns, can be calculated at any speed given the vehicle's tire size, axle ratio, and final transmission gear ratio. change in term of angular speed and time of starting. rpm Example: On a ground driven planter unit, the drive wheel is 125 cm in circumference and turns a 13-tooth sprocket, driving a chain up to a 20-tooth sprocket. Critical and extremely critical fire weather conditions continue across parts of California through Thursday, especially for southern California. These rpm’s are suggestions only and should be adjusted according to feedrate, the color of the chips (in case of steel) and depth of cut. Surface speed is a linear measurement of how far the surface of a roll travels in a minute. 8197 / D) x SFM (rev/minute) Cutting Speed vc = RPM x 3. 2% instead, vertical speed will be 572 ft/min less than 5% error). Press one button to calculate your patient's gait speed for each of the Time Trials collected. There are five main sections in the calculator, dealing with pulleys and belts (or chains and sprockets - see below), together with speed. How to calculate RPM for HSS drills and Carbide tools for a Lathe. HJ jaw crusher has large capacity and its excellent performance makes it be the mainstream machine in mining industry. 1) Direct System 2) Indirect System. Hp to Amps (Amperes) – Conversion, calculator, formula, table, chart. Example Calculations Design a CMU pier and ground anchor foundation for a manufactured home to be placed in an SFHA Zone AE having a flood velocity of 2 fps. Small pressure differences, such as those experienced in experimental wind tunnels or venturi flowmeters, are measured by lighter fluids such as water (27. (it is notan increase in draft. 5 (calculations) determine the 2 masses required at both planes A&B of the rotor to dynamically balance the rotor. Δt = 300 s. Acceleration is the rate of change of speed and is defined in units of user units per second per second. Flag for inappropriate content. This indicates that the vibration is synchronous to RPM. Belt Conveyors for Bulk Materials Calculations by CEMA 5th Edition Piotr Kulinowski, Ph. BOUNDARY-RELATIVE SPEED CALCULATOR - Warning Decision Training Division (WDTD), National Weather Service (NWS), NOAA VERY EXTENSIVE. Ratio (TSR) which is defined as : TIP SPEED RATIO (TSR) = (tip speed of lade)/(wind speed). The common unit and term for this velocity is surface feet per minute, abbreviated sfm. Assuming the inlet velocity to be negligible and taking the coefficient discharge of 0. calculations we will use primarily Torr or atmospheres). Wind pressure is deployed on the "windward" and "leeward" sides of the building as shown in Fig. Students practice solving the formula for area and velocity. Conveyor Application Formulas Today many of these formulas are incorporated in available software that allows for the immediate analysis and generates a complete list of components either for a new conveyor or for problem resolution on existing conveyor systems. Try our desktop HSMAdvisor Speed and Feed Calc or Mobile/Online FSWizard More about formulas needed to calculate turning, drilling and of course milling speeds and feeds. The formulas work. This speed calculator is a tool that helps you determine the average speed of a moving object based on the distance traveled over a certain time traveled. X the change in rpm. The impeller tip speed plays a vital role for the centrifugal pump handling liquid contain solid particles. With stepper motors, however, changing the voltage does not have any effect on the motor speed. What i cant understand still is that how is the RPM of machine fixed at 100 or 200 or 300 watever?? nd why does it vary according to fabric width size, means wider the fabric lower the RPM speed of machine. The medial-lateral force, in the z-direction, is approximately a factor of 100 less than the VGRF in both running and walking. DISTANCE, TIME, SPEED PRACTICE PROBLEMS YOU MUST SHOW YOUR WORK. You already calculated the tip speed in the equation. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere. Calculate the Operating Speed NM [r/min] from Operating Pulse Speed f2 [Hz] N M = f2 × × 60 θs 360 Calculate the Load Torque Refer to basic formulas on page G-3. Tarik Saleh [email protected] 283 lb/in3 for steel). It has the same funcitonality as the form you see below except that it runs on your desktop with no internet connection needed. Here’s a simple, good looking, and accurate weight × time × activity = calories burned calculator and counter. Chipping thickness 5. We will practice different. More than one stages of pulley speeds can be calculated in a (compound drive system). Equations are coupled w/time (Parametric) We must look at the motion of the vehicle (speed) and first break it down into its horizontal (X) & vertical components (Y) Lets look at the horizontal (X) direction first. There are certain standard form in calculating units. 2 Math: Geometry Calculating Distances in Two and Three Dimensions. RPM Measurement Techniques PAGE 2 TECHNICAL NOTE • Form 1784-160609 Understanding the Frequency Method When using frequency measurement as a method of monitoring RPM, the key factor is the number of pulses. The cutting time t d. Show your work and include the units. Formulas used on the Car Math Here are the formulas for most of the Car Math Calculators. 000001 gram). The calculations assumes the necessary modifications for ambient condition through the use of IAT and MAF. It accounts for when the process is running slower than its theoretical top speed (both Small Stops and Slow Cycles). Note that the 60 and 30 degree trajectories have the same range, as do any pair of launches at complementary angles. In the next worm gear box design calculation tutorial we will discuss the force analysis of a worm gear box. Bullet RPM Formula Here is a simple formula for calculating bullet RPM: MV x (12/twist rate in inches) x 60 = Bullet RPM. Engineering Toolbox. Not authorized for use by outside organizations. For a given wheelbase and speed, a frequency split front to rear can be calculated to minimize pitching of the body due to road bumps. Run machine at maximum speed (press pressure foot flat) Record time - record how much time it takes to complete a cycle (2 meters long) e. Further this angular acceleration can motor across the line, full voltage . To find your vehicle’s RPM enter your Ring and Pinion Gear Ratio, Tire Height and Speed and press "Solve". The speeds shown by download time calculator is purely theoretical. X = VoCosθ(T). To calculate the new pump head pressure from an increase or decrease in pump speed rpm, the following formula and calculation can be used. Unit of speed will be calculated based on unit of distance and time. Calculating Fiber Optic Loss Budget Criteria & Calculation Factors Design of a fiber optic system is a balancing act. 7% of the defined value for the speed of light. 276 in ID drill pipe and 800 ft drill collars Solution: Longitudinal rpm (Eq. Distance and bearing may be taken from topographical maps for quick analyses but great circle calculations are needed for more accurate work and are. three phase equipment that are < 5 tons. 10/27/13 TEXTILE CALCULATIONS TEXTILE CALCULATIONS FIBRE FINENESS, YARN COUNTS AND CONVERSIONS Micronaire Value (Cotton) : The unit is micrograms per inch. RPM Pulley Calculator 2. Collect liquid at a constant pressure and/or RPM from one nozzle for that amount of time (Example: Collected 30 ounces from 1 nozzle in 30 seconds). To find out how to convert the temperature, see the link below: Temperature Conversion. The formula that the accident re-constructionists use is: S is the speed of the vehicle, d is the distance of the skid marks, and f is the coefficient of friction. of a pump is calculated using BEP of the. integrated) over all the range of wind speeds. X the change in rpm. • Dead time is the time required to solve the maneuvering board before making the course adjustments • Dead time formula: D = S x T x 100/3 • S = D/T x 3/100 T = D/S x 3/100 THIS FORMULA IS USEFUL FOR DOUBLE CHECKING NOMOGRAM FIGURING AS WELL. Relativity Science Calculator is a discursive mathematical essay employing common categories of thinking in philosophy, history and mathematical physics in order to better explain obscure and often recondite einstein relativity physics science theory in as simple and straightforward manner as possible. To calculate the speed, consider that abrasive grains on the wheel perimeter traverse the circumference of the wheel once for every revolution of the wheel. What is the weight adjustment formula? Here are the formulas used, in case you want to do the calculation when you are away from a computer: Wf = [body weight in lbs / 270] raised to the power. 2%, are programmable. His formula has three basic steps: 1. Calculating Average Speed. analysis and calculations than can be included in this manual. While they transfer torque effectively, they loose a bit of speed as the belt stretches under load. The following formulas may be helpful for quick analysis of limited applications. Thus we found the wind speed as 50 miles per hour. Stream Woodworking Classes Get Rpm Pulley Calculation Formula: Get Free & Instant Access To Over 150 Highly Detailed Woodworking Project Plans. Determine your engine’s RPM based on the transmission gear ratio, tire height, MPH and the ratio of your ring gear and pinion gear. Calculation Methods. Distance and bearing may be taken from topographical maps for quick analyses but great circle calculations are needed for more accurate work and are. Calculate the Velocity (v) from the Equation for Constant Acceleration through Velocity Calculator by just entering the values for initial velocity (v0), acceleration (a) and time (t) and applying the various formulas. Pump Formulas — Imperial and SI Units. Take the value of K f from Table 5 or Table 6. ) do not take. Formulas for gears calculation – internal gears Contens Internal spur gears with normal profile Internal spur gears with corrected profile • Without center distance variation • With center distance variation Internal helical gears with normal profile Internal helical gears with corrected profile • Without center distance variation. Part 1 - Speed Calculations: Use the speed formula to calculate the answers to the following questions. V = the Design Speed Crest Vertical Curves The safety concern relative to crest vertical curves is related to SSD (Stopping Sight Distance) the distance at which a driver can see an object in the road ahead. ESCAPE VELOCITY EXAMPLES 1. Calculation principles When selecting axlebox bearings, in addition to the bearing rating life calculation, other. The drives allow variation of the speed to match, which is v = 0. Sale Discount Calculator - Percent Off Mortgage Loan Calculator - Finance Fraction Calculator - Simplify Reduce Engine Motor Horsepower Calculator Earned Value Project Management Present Worth Calculator - Finance Constant Acceleration Motion Physics Statistics Equations Formulas Weight Loss Diet Calculator Body Mass Index BMI Calculator Light. If two wavelengths pass a given point each second, and the distance between wave crests is 3 m, what is the wave speed? 4. where they have to use their imagination,ability,creativity and good sort of potential. 1 August 15, 2007 1 11. Refer to page 3 for calculating the speed, load torque and load inertia for various mechanisms. 1 August 15, 2007 1 11. A formula is obtained for calculation of wind speed in tornado, as proportional to the speed of convective updraft. Accurate Formula to Compute the Pitch and Major / Minor Diameters for Before Plate Thread Plugs and Thread Rings** Courtesy Pennoyer Dodge If no plating tolerance is given, then it is assumed that the maximum plating thickness will be nominal or minimum thickness given plus 50% (see ASME B1. Gears August 15, 2007 2 11. If you want more numbers, including speed and cadence data, Jake Odell has a more elaborate gear calculator: HPV Drivetrain Analyzer Tom Kunicki has a calculator with specific features useful for fixed-gear and singlespeed riders: "Rabbit, A Singlespeed and Fixed-gear Calculator". If you move 50 meters in 10 seconds, what is your speed? 3. A football field is about 100 m long. For a given wheelbase and speed, a frequency split front to rear can be calculated to minimize pitching of the body due to road bumps. Then the speed of the airplane is 550 - v when it moves against the wind, and 550 + v when it moves with the wind. • If you can’t get close by adjusting your pace, next best choice is changing the nozzle. Engine Speed Based Estimation of the Indicated Engine Torque Varvtalsbaserad estimering av indikerat motormoment Magnus Hellstr¨om × Indicated torque, indicated pressure, ﬁnite automaton, transmitterwheel error, engine speed estimation. To calculate RPM by direct observation, start by picking a place to watch on the rotating object, like the tip of a blade on a wind turbine. BTHP round, or its cousin, the 175-gr. RECIPROCATING COMPRESSOR IX. inaccurate speed estimation. Combustion gases expand in a propulsion nozzle from 3. Designation Quantity Note and additional information 1 2 Turbine type, figure 3 CURTIS 3 4 REQUIRED CONDITION 5 6P kW535 7 N RPM 4000 8 pi bar A 42 9ti C 400 10 po bar A 13 11 12 STEAM DATA 13 14 hi kJ/kg 3210 See steam Mollier diagram 15 hos kJ/kg 2890 See steam Mollier diagram. 4 inches and 2. The impeller tip speed plays a vital role for the centrifugal pump handling liquid contain solid particles. 54 Fundamentals of Balancing, 2 nd Ed. Manufacturers and grocery stores typically use conveyors to move products along a specific path. Calculates SFM, RPM, inches per rev, inches per tooth, inches per minute, metal removal rates Drilling Formula Interactive Calculator Solve for any subject variable in bold by entering values in the boxes on the left side of the equation and clicking the "Calculate" button. Use the second form to calculate the diameter of a pipe required for 5 fps pipe velocity. They are used to provide tension or to route the belt. SHOCK AND VIBRATION RESPONSE SPECTRA COURSE Unit 3. X = VoCosθ(T). In many instances, they can save you time, but are not. This centripetal acceleration is directed towards the center of rotation, and the corresponding force is given by the Newtonian equation F=M⋅a. Load type - static, slight impacts, service life 20,000 hours. You can use a calculator but you must show all of the steps involved in doing the problem. To convert MPH to Knots, divide by 1. Calculate the motor pulley size of compressore, कंप्रेसर के लिए मोटर का पुल्ली साइज़ कैसे कैलकुले - Duration: 6:10. Basic Motor Formulas And Calculations. 9 = = Actual measurements of the output shaft (free running) speed at 12. 14 x D x N Where • Ts = Fan tip speed, FPM • D = Fan diameter, ft • N = Fan speed, RPM V-belt Length Formula Once a sheave combination is selected we can calculate approximate belt length. • Besides information about the speed at. Using the example of one of the largest wind turbines in the world with a rotor blade diameter of 126 metres, the rotors sweep an area of PI x (diameter/2)2 = 12470 m2. diameter by at least 10%, and the roller speed should never differ less than 60 rpm from the journal speed…. π ρ λ π ρ λ E l d A EI l n b tr b c 2 2 2 2 2 15 2 60 = = nc: Critical speed [min-1] lb. Common Drilling Formulas RPM RPM = vc x 12 3. 1 Calculate and insert the missing values in the table below. Then using the formula for the same, you can place in your free stream velocity and a rough idea. Formulas for gear calculation – external gears Contents: Relationship between the involute elements Determination of base tooth thickness from a known thickness and vice-versa. Ideally you would do this by first identifying the input and output speeds using a strobe light, photo tach or laser tach. Surface speed is a linear measurement of how far the surface of a roll travels in a minute. 2618 x D x RPM (ft/min) Feed Rate vf = IPR x RPM (inch/min) Cross-section area of hole AT = 3. The stagnation temperature is the temperature that the fluid would reach if it were brought to zero speed by a steady, adiabatic process with no external work. Sprocket Diameter Calculator. Real memory competitions or in studying for exams. Input the tire diameter, highest engine rpm, number of teeth on your clutch or torque converter jack shaft and the number of teeth on the axle sprocket. Facing is the process to remove the material from the surface at right angles to the axis of rotation of the job. There are those operations that are strictly milling operations, but we also use milling machines to perform other operations such as drilling, reaming, tapping, and boring. Calculate Gear Diameter. Students practice solving the formula for area and velocity. Using venturi insert A students calculate areas and predict velocities. Make an accurate range estimate and preliminary wind speed calculation as if it were a 10 MPH full-value wind 2. Assuming the inlet velocity to be negligible and taking the coefficient discharge of 0. 237 miles per hour. 7 tonsilitis formula 4. This document is property of Kaz Technologies. The first, the object's angular velocity, describes its speed around its axis. This is the rotational speed where balls will not fall away from the mill's shell. As = pulley A size, Ar = pulley A rpm, Bs = pulley B size, Br = pulley B rpm. RPM Calculator. Rolling processes 5-1 introduction: Rolling is the process of reducing the thickness or changing the cross section of a long workpiece by compressive forces applied through a set of rolls, as shown in figure (5-1). ]: Calculation of power require-ment in [kW]:* Calculation of cutting speed in [m/min]:* Calculation of machining time in [min]:. A train travels 240 miles in 3 hours. Power is the product of speed and force, or in the case of things that spin, speed and torque. Caclulate Inches to Metric. In this example, calculate the tip speed of an impeller. Denier (Man-Made Fibres) : Weight in grams per 9000 meters of fibre. Gait Speed Mobile App for Physical Therapy. BLOWER AND MOTOR CALCULATIONS By Norm Christopherson This section includes information on the sizing of motor pulleys, changing rpm and cfm of blowers, motor selection for blowers, belt length changes, and using fan laws for troubleshooting. From Formula (7) L = 13,817 = 658 feet 0. Basic Motor Formulas And Calculations. When an object such as a wheel rotates along the ground, two different measurements describe its speed. Calculate Spindle Speed Use the formula: N. Calculation of Machine Hour Rate: For the purpose of computing the machine hour rate, each machine (or a group of similar machines) becomes a cost centre and all overheads are charged to a machine cost centre or to different machine cost centres if many such centres have been created within the department. 4 which is the density of water in lbs/ft³. Part Radius (outside arc) KEY. It is the responsibility of the customer to specify the required motor Hp, Torque, and accelerating time for his application. Calculate the motor pulley size of compressore, कंप्रेसर के लिए मोटर का पुल्ली साइज़ कैसे कैलकुले - Duration: 6:10. The SL Ratio is a simple formula for calculating displacement boats speed which is typically 1. Not authorized for use by outside organizations. It is the responsibility of the customer to specify the required motor Hp, Torque, and accelerating time for his application. The airplane travels for 5* (550+v) miles when flies with the wind. 63 inches/second = hand speed constant; and T s = stopping time of the press measured at approximately 90° position of crankshaft rotation (seconds). The 2001 calculation is for a person moving through the air at walking speed. Opinions expressed are those of the authors and not necessarily those of the National Science Foundation. The following formulas may be helpful for quick analysis of limited applications. 00 " 108 m/s, gives an amplitude of. The stagnation temperature is the temperature that the fluid would reach if it were brought to zero speed by a steady, adiabatic process with no external work. You can choose the types of word problems, the number of problems, metric or customary units, the way time is expressed (hours/minutes, fractional hours, or decimal hours), and the amount of workspace for each problem. Milling Speed and Feed Calculator Determine the spindle speed (RPM) and feed rate (IPM) for a milling operation, as well as the cut time for a given cut length. • Speed of calculations necessary to determine range to target and required telescopic sight adjustment and/or hold-over can be significantly reduced by using this device in lieu of a conventional hand-held electronic calculator. A football field is about 100 m long. 76 seeds = 7. 000681 x p x L x D4. Learn vocabulary, terms, and more with flashcards, games, and other study tools. Now, use the following formula to calculate machine rpm (max. Formula: (Ideal Cycle Time × Total Count) / Run. rather, it is the bodily sinkage of a vessel which. The rolls could be a card main cylinder, the head pulley of a conveyor, a calender roll, or a roll of fabric on a winder. Be sure to show your work for each problem (write the formula, numbers with correct units, and the answer with the correct units). 283 lb/in3 for steel). π ρ λ π ρ λ E l d A EI l n b tr b c 2 2 2 2 2 15 2 60 = = nc: Critical speed [min-1] lb. At 0°C and 100KPa the air density is 1. HP Calculator Programming. Gears August 15, 2007 2 11. In the example below the DRIVER gear is large than the DRIVEN gear. Textile Calculation represents all about mathematical calculation of spinning, weaving, knitting, wet processing and garments costing and consumption formula. 120 x 60 / 4 = 7200 / 4 = 1800 RPM Inverter Drives - An inverter is an electronic power unit for generating AC power. Here's a calculator that determines the air density from the actual pressure, dew point and air temperature using equations 4, 6, 7 and 8 as defined above:. A final recommendation: Capture the data in 10-second spurts and then do the division. When an object such as a wheel rotates along the ground, two different measurements describe its speed. 0118 x torque in inch lbs.


When Will My Money Get Double? 100% Growth: Every time a new person enters in investing the first question which strikes in their mind is when my money will get double?
So to answer this question financial planners and financial advisors use this rule of 72. The Rule of 72 was discovered by Albert Einstein
So Today I am sharing this amazing formula ‘Rule Of 72’ with you. by using this formula you can calculate when you invested money will double
Where can you use this?
You can use this calculate Fix deposit FD, Post Office, Mutual Fund, equity Returns it works everywhere.
Rule of 72
To calculate the number of years in which your investment will double — it is known as the rule of 72 — simply divide 72 by the rate of return that you can generate.
So at 12 percent return, you can double your money in six years. No. of years = 72/12 = 6.
If you want To know the time required to triple the principal amount, the rule of 114 is used.
The amount of time needed to triple your money would be = 114/12 = 9.5 years.
Rule of 72: Number of years to double = 72/expected return.
Rule of 114: Number of years to triple = 114/expected return.
Rule of 144: Number of years to quadruple = 144/expected return.
100% Growth simply means: An increase of 100% in a quantity means that the final amount is 200% of the initial amount (100% of initial + 100% of increase = 200% of initial); in other words, the quantity has doubled.
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