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Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. The square root of 8000 is 89.442719099992. Or, √ 8000 = 89.442719099992 See, below on this web page, details on how to calculate this square root using the Babylonian Method The square root of the square root of the square root of something is called the 8th root. The 8th root of pi is approximately 1.15383506784999. What is the square root of 2,000,000?
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Tap for more steps Factor out of . Rewrite as . Pull terms out from under the radical. Multiply by . 2021-03-25 · Output : Square root of 50 is 7.071068. Example: n = 4 /*n itself is used for initial approximation*/ Initialize x = 4, y = 1 Next Approximation x = (x + y)/2 (= 2.500000), y = n/x (=1.600000) Next Approximation x = 2.050000, y = 1.951220 Next Approximation x = 2.000610, y = 1.999390 Next Approximation x = 2.000000, y = 2.000000 Terminate as (x - y) > e now. You can calculate the square root of any number , just change -20000 up above in the textbox.
The square root of ei Learn how you can type square roots in Microsoft PowerPoint or create complex equations using the built-in Equation Editor. Microsoft PowerPoint has a rather complex Equation Editor that you can use to type equations on your slides.
Distributional Effects of Deregulating the Stockholm Rental
The digital root essentially is the sum of all of the digits. If you're lost, don't worry, we'll go over each step in more detail below.
Running ScaRed - Article 19
are surgically inserted into the jaw to replace a root and provide an anchor for Includes 23,000 square feet of space in this facility that is leased to other parties. benefits to Mr. Binder are capped at $500,000 in any twelve-month period.
Calculate the positive principal root and negative root of positive real numbers. Also tells you if the entered number is a perfect square. How to find the square root of 500 by long division method Here we will show you how to calculate the square root of 500 using the long division method with one decimal place accuracy. This is the lost art of how they calculated the square root of 500 by hand before modern technology was invented. Sqrt(5000).
% Initiala Till exempel: En vinst på miljonlotteriet som betalar ut 500 000 kr om året under Funktionen SQRT() returnerar den ickenegativa kvadratroten ur argumentet. av A Hjorrnhede · 2007 — 500000.
What is the square root of 10000 | What is the root of 10000 - here you will find the answer for this and other numbers!
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Find them by finding #sqrt10# on a calculator. #sqrt10 = 3.16227766# #sqrt ("10 00 00") = 316.227766 ~~316.23# compare the following answers: 2010-08-30 · Hi. The easiest way is to factorizemeans finding out all multiples.
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Fruit-to-bottle sodas Pressed & bottled in East London Small batch, seasonal flavours + AF cocktails No artificial A perfect square is a number with an integer as its square root.
Which in turn includes: Swedish translation, definition
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Note: to insert a caret ^ symbol, press SHIFT + 6. NextGurukul is India's leading online K-12 community. Here students, parents, teachers, principals and trustees can connect, learn and share knowledge with e Calculation tricks for JEE Main & JEE Advanced for quick calculation of square root of any 2 digit or 3 digit number can be evaluated in just 5 seconds using You can calculate the square root of any number , just change 10000 up above in the textbox. See similar problems: what is square root of 10001 in simplest radical form?


The Ergonomic Proof
Very often I find proofs difficult to read. But it was hard to pin down why, until I came across a patently obvious proof that nevertheless managed to set off the same mental triggers in me that more difficult proofs normally do.
I found it in the 'Solutions to Exercises' of the Open University's Chapter D4 of maths course MS221, in a proof that the square of an even number is even itself:
An even number is of the form 2n where n is an integer. Its square is
(2n)^2 = 4(n^2) = 2*2(n^2).
Now m=2(n^2) is an integer, so the square (2n)^2 is of the form 2m, where m is an integer, and so (2n)^2 is even.
Here is my preferred proof:
- All even numbers have a factor 2.
- Therefore all even numbers can be expressed as 2n, where n is an integer.
- Therefore the square of any even number can be expressed as (2n)^2 = 4(n^2).
- Therefore the square of any even number has a factor 4.
- Therefore the square of any even number has a factor 2.
- Therefore the square of any even number is itself even.
Comparison of proofs
- Proof A requires you to hold the whole proof in mind at once, it refers to itself here there and everywhere. In comparison, proof B only requires you to make jumps from one statement to another. - Minimize mental overhead.
- Proof A makes no explicit reference to the nub of the proof: that we are aiming to find a factor of 2 in our target. In comparison, this idea is made explicit (in step 2) as well as being central to Proof B. - Make explicit central ideas and motivations.
- Proof A freely mixes notation and natural language, forcing the reader to make frequent jumps from one symbolic domain to the other for no real purpose. In comparison, Proof B is mainly in natural language, with a crucial transformation step in notation. There is no need to switch domains frequently. - Language mixing carries a signficant comprehension overhead, so use it sparingly.
- Proof A makes frequent, extraneous reference to the fact that various expressions are in fact integers. It wouldn't occur to most people to question this, and those that would would know that all even numbers are integers, and that all the operations used in the proof are closed in the integers anyway. - Keep to the point.
- Proof A introduces a needless letter 'm', Proof B doesn't. Proof A has two equalities, Proof B only has one (we don't need to show that 4 is even...). - Occam's Razor.
- Proof A hinges on the manipulation of symbols. Proof B also does (the equation in step 3), but has a greater emphasis on the manipulation of concepts. Conceptual manipulation is more intuitive and satisfying than symbolic manipulation, and more conducive to understanding. Proof B would be improved if we could show why the equation in step 3 is true. Probably a geometric diagram would help here. - Conceptual manipulation is preferable to symbolic manipulation.
Proof A and Proof B are essentially the same, but I know which one I'd rather be confronted with.
Rhetorical awareness is as important in mathematical proof as in any other kind of argument. At root, we are not trying to be automated theorem solvers, although this ability implies various useful skills. However, we are trying to persuade ourselves and each other of various things. We should remember this when we do maths.


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Think of combining 36 variations of the same symbol to shoot the Birds of Prey. Develop the logic behind the mysterious astrological cards to defeat the Cretan bull. Combine colors, geometry, and secret symbols to capture the kenerine legacy!
Hercules’ work is a collection of puzzles that will take you on an exciting adventure – you will solve puzzles – look for patterns and thus overcome the increasingly challenging mythological beasts!
Hercules’ work is four trilogies that tell the story of mythological works. As you discover more parts, you will notice that their level of difficulty is increasing significantly!
The puzzle consists of 36 square tiles. Your task is to arrange them in the right order to create a square with sides 6 to 6. To reach the goal you will go on a mental journey that will open up the secrets of cryptography, mathematics, logic and geomtetri.
Each puzzle offers three tips to help you find the only solution – a secret message loosely linked to the morality of history. If you go off the road and need help, take advantage of the hints and remember – even the great Hercules has helped with some challenges!
The puzzles have been invented and constructed in Hercules’ homeland. The instructions are presented in Polish, German, English, Greek, French and Spanish.


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Delft, 1981. 77 pagina's.
ISBN-13: 978 90 6132 226 9. ISBN-10: 90 6132 226 X.
Chapter II defines S-systems and S-transformations in a general way. In relation to these, definitions for K-systems and K-transformations follow. The former give stochastic coordinate transformations, whereas the latter give non-stochastic transformations.
Chapter III starts with a definition of 'measurable', 'estimable' and 'non-estimable' quantities. Based on these definitions rules are given for the choice of S-bases. This chapter concludes with two examples: the choice of an S-base in the complex plane and one for spherical triangulation.
Chapter IV makes use of the theory developed in chapter II and III for finding the S-base in R3 and for finding the related S- and K-transformations. The derivations are using quaternion algebra to show the structure of the coordinate computation in R3 clearly.
Chapter V first demonstrates why S-transformations are necessary for tests on the precision of pointfields. Then a proposal follows for the structure of criterion matrices for more extended geodetic networks. This proposal is followed by a definition of homogeneous and isotropic inner precision for such networks. The relation between S-bases on the sphere and S-bases in R3 and R2 will be given. The chapter concludes with the design of a criterion matrix for networks over a sphere and with considerations about the semi-positive definiteness of such a matrix.
At the end of this introduction it is stressed once more that the theory is based on the assumption formulated in section 1.2:
Observations in geodesy are normally distributed, and functional relationships can be linearized so that the normal distribution is conserved for functions of these observations.
- Introduction 1
- A generalized formulation of S- and K-transformations 4
- On the choice of S-bases 19
- S-transformations in three-dimensional Euclidian space 33
- Criterion matrices for large networks 47
- References 75


The Scientific Notation for Fractional Numbers Calculator an online tool which shows Scientific Notation for Fractional Numbers for the given input. Byju's Scientific Notation for Fractional Numbers Calculator is a tool which makes calculations very simple and interesting. If an input is given then it can easily show the result for the given.
A fraction smaller than 1 can be converted to scientific notation by decreasing the power of ten by one for each decimal place the denominator is decreased by. Scientific notation numbers may be written in different forms. The number 6.5x10-7 could also be written as 6.5e-7.
Scientific notation is a system for writing very large and very small numbers that makes them easier to work with. Every number can be written in scientific notation as the product of two numbers (two numbers multiplied together): Write the number as a decimal (if it isn’t one already). Suppose you want to change the number 360,000,000 to.
Scientific notation is a standard way of writing very large and very small numbers so that they’re easier to both compare and use in computations. To write in scientific notation, follow the form where N is a number between 1 and 10, but not 10 itself, and a is an integer (positive or negative number).
Scientific notation. Scientific notation is a way to express numbers in a form that makes numbers that are too small or too large more convenient to write. It is commonly used in mathematics, engineering, and science, as it can help simplify arithmetic operations.
Use this calculator to add, subtract, multiply and divide numbers in scientific notation, E notation or engineering notation. Answers are provided in three formats: scientific notation, E notation and engineering notation. You can also do operations on whole numbers, integers, and decimal numbers and get answers in scientific notation.
Scientific notation is a way of expressing numbers that are too big or too small to be conveniently written in decimal form. It is commonly used by scientists, mathematicians and engineers, in part because it can simplify certain arithmetic operations.
Scientific notation. For very large numbers or very small numbers it is more convenient to express the number in scientific notation using a power of 10. For example, 1,400,000 can be written as 1.4 x 10 6. In MATLAB (and other programming languages) a convenient shorthand for this is 1.4e6.
How to write in Scientific Notation Example. Changing over Numbers to Scientific Notation accurately means that the coefficient must be somewhere in the range of 1 and 10. When figuring out Scientific Notation you should move the decimal point in the first number with the goal that it makes a number that is in the middle of 1 and 10. That.
This free scientific notation calculator and converter can perform a range of operations in scientific notation, including adding, subtracting, multiplying, and dividing numbers. It can also convert real decimal numbers to scientific notation, and vice versa. To use the scientific notation calculator, simply input the numbers in scientific.
This calculator supports multiplication and division numbers in scientific notation. The calculator supports conversion from scientific notation to decimal, and vice versa. The calculator will generate a detailed step-by-step explanation for each operation. SN Converter SN Arithmetic. Write number 73000000 in scientific notation.
Start studying Unit 3 Test - Fractions, Decimals, Percents, Scientific Notation - Toler. Learn vocabulary, terms, and more with flashcards, games, and other study tools.
Start studying Unit 1 Test - Fractions, Decimals, Percents, Scientific Notation. Learn vocabulary, terms, and more with flashcards, games, and other study tools.
Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.
Ordering Fraction Decimal Percent And Scientific Notation. Ordering Fraction Decimal Percent And Scientific Notation - Displaying top 8 worksheets found for this concept. Some of the worksheets for this concept are Comparing and ordering fractions decimals and percents, Ordering numbers number and number sense 8, Introduction, Introduction, Unit 2 fractions decimals percents and scientific.
Standard notation is commonly used in everyday math. However, when working with large numbers, it can become cumbersome to write out every single digit. Scientists and mathematicians often use another type of number form known as scientific notation to make writing numbers less cumbersome. If someone has the standard notation of a number, he.
I want to print a double value in Java without exponential form. It shows this E notation: 1.2345678E7. What is the best way to prevent this? You could use printf () with %f: This will print dexp: 12345678.000000. If you don't want the fractional part, use. This uses the format specifier language explained in the documentation.
Addition And Subtraction In Scientific Notation. Addition And Subtraction In Scientific Notation - Displaying top 8 worksheets found for this concept. Some of the worksheets for this concept are Scientic notation addsub es1, Adding and subtracting numbers in scientific notation, What fun its practice with scientific notation, Operations scientific notation, Scientific notation date period.
Scientific notation is a standard way of writing very large and very small numbers so that they’re easier to both compare and use in computations. In this section, we will learn the rules which are required to write a number in scientific notation. Every number in the scientific notation must be in the form of.


Fourth Dimensional Globe Theory (4DGT) is a large theory that spans the whole of theoretical physics because it addresses the core assumptions and philosophy of modern physics.
I recently changed the name from 4D Balloon Theory because I think the term "globe" speaks to the coordinate system aspect of the model which was lacking in the "balloon" term.
The theory was written as a single paper for the first draft (which can be found HERE) but I have made the decision to split the paper into two papers to make understanding the concepts easier for the reader. For this reason, each paper will focus on a different set of assumptions with the first paper addressing a far smaller scope of issues and the second offering a completely new model of the universe.
The theory addresses the same philosophical issues in both papers. Namely that physics needs to provide a physical description of physical Reality in order to be considered "physics" and that mathematical models are no lasting substitute for a physical description of Physical Reality.
The first paper will be renamed: "The Doppler Exclusion Principle." This paper discusses a principle which can be derived from the principles and observations of the Big Bang Theory and the Standard Model. The implication of this principle is that all coordinate systems used to model our universe should be expanding or else error will occur in the math in proportion to the size of the coordinate system. This paper does not offer a new theory but rather calls for internal logical consistency in applying the existing theories.
The second paper will keep the title: "4D Globe Theory" and its guiding principle is a new definition of the term "dimension". This theory does not challenge any of Einstein's mathematics but argues that the meaning behind the math is flawed because the term "dimension" is presently undefined in physical terms and you cannot use an undefined term to describe physical Reality in a meaningful way. Einstein's attempt to do this has led to a century of decline in the ability of physicists to describe the universe in descriptive language and the use of mathematics as a crutch to prop up a non-physical science.
Furthermore, 4DGT describes the universe in a completely physical way beginning with the hypothesis that our universe exist on the surface of a four dimensional object.
My brother was one of the first to read the first draft (which can be found HERE) and he pointed out that it seemed to written for two very different audiences at the same time and that fact made it nearly unreadable due to the cognitive dissonance.
He was right. I wrote this paper with the goal of explaining my theory in a way that could be understood by everyone of any education level. Currently mathematics is the insurmountable gatekeeper of physics and without an understanding of advanced mathematics normal people cannot understand theoretical physics let alone participate in the field. This seems wrong. Physics is a description of physical Reality and any intelligent person should be able to understand the basic ideas of every level of physics even if the mathematical details are beyond their math knowledge.
I did not think of the fact that a paper written to explain theoretical physics concepts to people with an 8th grade education might not appeal to those who do not need elementary physics concepts explained in detail. Therefore, to answer my brother's point, I will be separating the papers into two versions:
Advanced: This version will target those familiar with the concepts in theoretical physics and focus on convincing the target audience that massive changes are needed in the standard model in order for it to accurately describe physical Reality.
Simple: The simple version of 4DGT will target those who lack the education to deal with mathematical concepts or who do not understand the basic physics concepts such as momentum and waves and describe the universe in simple terms explaining basic concepts as needed. .
The 4D Globe Theory is in flux. The current version is far behind my vision for the work. I plan on making the theory much easier to read and if you read the current version I apologize for the state of the paper.
However, if you have the patience to read the present version, I think it would be worth the trouble because the information is there. Even the difficult version of the next scientific revolution is still a revolution in physics.
I will still try to get the better version of the paper done as soon as possible.


Instant Offices have devised a simple model that enables you to calculate the true cost of occupying a conventional lease and compare it with the cost of serviced offices. Answer 18 short questions - it should only take 2 minutes, the results are presented immediately in graphical form together with all the calculations and assumptions. Print the results or e-mail them to your colleagues! If you require any assistance please call us on +44 20 7298 0600.
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18 Feb 2020 1040-X) or a math error correction made by the. IRS. AGI is the amount shown on your 2018. Form 1040, line 7. If you don't have your 2018. The sales tax is a multiplication problem. Sales tax = (Cost of Purchase) * (tax rate in decimal form) The decimal form of 7.75% is 0.0775. Sales tax = ($69.95) 21 Feb 2020 A popular meme appears to have conflated two different tax proposals from Bernie Sanders' health care plan proposes to raise the tax rate to 52% on incomes over $29,000. At a certain point, you've got to do the math. When working with tax math problems, we are usually asked to calculate sales tax rates or the total cost of an item with tax. word problem tax. 9 Jul 2019 1.12 trillion average estimated to be required to meet this year's target. GST collections have not yet stabilized; fell slightly below the Rs. 1 trillion- 9 Sep 2019 Austin Property Tax Math: School Tax Rates Down, Everybody Else In addition, the City of Austin and Travis County will have to get voter
Well, here is a property tax calculator where all you need to do is to enter the assessed value and it will estimate your tax based on average county tax rate. Be careful tough with this calculator! I used it to estimate my property tax and the number was off by about 1500 dollars.
When working with tax math problems, we are usually asked to calculate sales tax rates or the total cost of an item with tax. word problem tax. 9 Jul 2019 1.12 trillion average estimated to be required to meet this year's target. GST collections have not yet stabilized; fell slightly below the Rs. 1 trillion- 9 Sep 2019 Austin Property Tax Math: School Tax Rates Down, Everybody Else In addition, the City of Austin and Travis County will have to get voter Sales tax calculator to calculate taxes on a sale and a total amount of a purchase including tax. Tax can be a state sales tax, use tax and a local sales tax. Calculate total of a sale including Get a Widget for this Calculator. © Calculator Soup. Knowing your income tax rate can help you calculate your tax liability for unexpected This calculator helps you estimate your average tax rate, your tax bracket, and your Choose 'no' if no one can claim you or your spouse as a dependent. Gen Fricker makes income tax interesting! Learn about income tax - what it is, how it works and when you have to pay it. Easy-peasy! Then test yourself with
Here is the answer assuming that the tax RATE is 82.5% - which also means that since (as you will see) this is really a purely multiplication problem, you can do the .95 multiplication before or after you do the tax calculation. okay - here we go: -----
Sal solves percent word problems involving tax, tip, and discounts. CCSS Math : please help, im on a question, i try to do what tells me,but, i get incorrect, heres the How do you find the rate if they don't give you the rate in the question ? 23 Aug 2018 Whether you're trying to get back to the pre-tax price of an item as part of a or calculating the sales tax backwards from a receipt in your hand, the math is the same. Multiply the tax rate by 100 to convert it to a percentage. Sales tax is one of the many forms of indirect taxes that a government imposes on its citizens. If P be the printed price or marked price of a commodity, the rate of 27 Dec 2019 Income tax rate cut & fiscal math: Will govt's quandary lead to cut its market participants believe that the government will have to either cut (price+tax) you would multiply the dollar amount by 1.13, for example: Let's say you wanted to buy a $2 item, you would pay $(0.13)(2)= $0.26 in taxes. But, in total, For investors in lower tax brackets, it may, in fact, pay to invest in taxable tax- equivalent yield (TEY) calculation is the first step in making a comparison and Always do this simple math before you buy a municipal bond or muni bond fund.
24 Feb 2020 His answer was raise taxes to 52% on anybody making over $29,000 per the marginal income tax rate would increase for Americans making
Divide the "tax paid" rate you just calculated by 100 to convert it from a percentage into a decimal. So if you had 108 percent as the tax paid rate, that becomes: All you have to do is multiply the amount of your item or total of items by the sales tax. In order to do this, though, you need to do one simple step: Convert the percent into decimal form. The Method To convert a percent to a decimal, you just need to move the decimal over two places. We then apply 9% sales tax by multiplying the 0.9 by 109%, or 1.09. 0.9 * 1.09 = .981, so the total cost of the item is 98.1% of the original pre-sale sticker price. For percentage problems that do not deal with a specific starting number, it is always helpful to plug in 100 for the starting number.
Math Pre-algebra Ratios, rates, proportions Percent word problems. Percent word problems. Percent word problem: 100 is what percent of 80? Tax and tip word problems. Our mission is to provide a free, world-class …
5th Grade Math 6th Grade Math Pre-Algebra Algebra 1 Geometry Algebra 2 College Students solve word problems using the "sales tax" formula, which states: purchase price x sales tax rate = sales tax. A new computer costs $600 plus 7% sales tax. How much is the cost of the computer with added tax? How to calculate the amount of sales tax? Convert tax percentage into a decimal by moving the decimal point two spaces to the left. Multiple the pre-tax value by the newly calculated decimal value in order to find the cost of the sales tax. Sales tax rates vary from state to state. Retail sales tax rates are set by the individual states in the United States and vary from 0 to 9% of the sales price. Sales tax is usually the responsibility of the merchant to collect and submit to the state, and stated separately (or implicitly added at the time of the sale) to consumers. Don’t tax you. Don’t tax me. Tax that man behind the tree. Gnawing on a worker’s wages, income tax is an everyday example of percent decrease at work. This article focuses on using percents to calculate disposable income, the amount of money that remains after paying federal income tax.


Wouldn’t it be super convenient to have a calculator on the iOS widget screen? Well, you can if you install a third party app. Here’s how to add a calculator to the widget screen on your iPhone.
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The default calculator on your iPhone doesn’t offer the flexibility of adding the calculator to the Widget screen. That’s a real shame since it is one of the most useful apps on your iPhone and one that is used quite frequently.
If you are really missing the utility of the calculator on the iPhone’s widget screen, you can get the Calculator app from International Travel Weather Calculator. The app is free to download but there is a subscription plan and IAPs if you want more.
The Calculator App
The Calculator app is more than just your average calculator. It allows you to do all the usual basic math calculations. But turn it around to the Portrait mode, and it become a scientific calculator allowing to to perform logarithmic functions, equations and other scientific calculations.
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The app also features a built-in currency converter. Just select your location to automatically have the appropriate currency activated. Then its just a question of tapping the Converter button at the top left of the screen to view the calculations in the local currency.
The app also lets you view a history of your calculations and also copy the result or equation from the History view. Plus, the app offers drag and drop functionality and full support for the Apple Watch.
How to Add a Calculator To the Widget on Your iPhone
Now to add the Calculator app to the widget screen, here’s what you need to do.
1. Navigate to the Notification Area.
2. At the bottom of the screen, tap Edit.
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4. Tap Done.
Now in the Notification area, the calculator widget will be displayed. Tap the Show More link to bring up the calculator. You can now perform all your non-scientific calculations right in the Notification Center. If you want to continue working on your calculations, but prefer to use the app, you can tap the handy Open App key on the calculator to continue your calculations on the app without losing any information.
The Calculator app is free to download and use. The free version is ad-supported but it only shows up in the app. If you intend to use the app mostly in the widget section or on the Watch, then ads shouldn’t bother you much.
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Model-based clustering with dissimilarities: A Bayesian approach
- Model-based clustering with dissimilarities: A Bayesian approach
- Oh M.-S.; Raftery A.E.
- Ewha Authors
- SCOPUS Author ID
- Issue Date
- Journal Title
- Journal of Computational and Graphical Statistics
- vol. 16, no. 3, pp. 559 - 585
- SCIE; SCOPUS
- A Bayesian model-based clustering method is proposed for clustering objects on the basis of dissimilarites. This combines two basic ideas. The first is that the objects have latent positions in a Euclidean space, and that the observed dissimilarities are measurements of the Euclidean distances with error. The second idea is that the latent positions are generated from a mixture of multivariate normal distributions, each one corresponding to a cluster. We estimate the resulting model in a Bayesian way using Markov chain Monte Carlo. The method carries out multidimensional scaling and model-based clustering simultaneously, and yields good object configurations and good clustering results with reasonable measures of clustering uncertainties. In the examples we study, the clustering results based on low-dimensional configurations were almost as good as those based on high-dimensional ones. Thus, the method can be used as a tool for dimension reduction when clustering high-dimensional objects, which may be useful especially for visual inspection of clusters. We also propose a Bayesian criterion for choosing the dimension of the object configuration and the number of clusters simultaneously. This is easy to compute and works reasonably well in simulations and real examples. © 2007 American Statistical Association, Institute of Mathematical Statistics, and Interface Foundation of North America.
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By Alan Thwaites
Read or Download 100 Ideas for Teaching Primary Mathematics PDF
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Additional info for 100 Ideas for Teaching Primary Mathematics
26 RESOURCES GROUP SIZE Decimals 2cm squared paper Scissors Any This is an easy-to-make aid for multiplication and division by 10, 100 and 1,000. Each child will require up to ten strips of 2cm squared paper, each about 20cm long by 2cm wide and put aside. Cut one strip the same length but 6cm wide. Fold the 6cm-wide strip in half, lengthwise. This should produce a crease through the middle row of squares. Find the middle square of the folded row. Carefully cut two slits, a little less than 1cm apart, from the folded edge into the middle square, cutting to the printed horizontal lines.
Place the ‘bus stops’ around the sides of the available space, preferably at eye level. Make a set of postcards which refer to the bus numbers you have used. For this example the postcards could read: ‘odd numbers’; ‘even numbers’; ‘even multiples of five’; ‘odd multiples of five’; ‘multiples of four’. ’ or similar, whereupon everyone must stand still and listen to the instructions. A card is chosen at random and read out. On picking out, say, ‘odd numbers’, the caller decides whether to say ‘odd numbers only are running’ or ‘no odd numbers running today’.
Play continues until all the cards have been used. This game works well with showing answers on whiteboards and entrusting players with their own scoring. DIFFEREN TIATION An easier version is to ignore the cards, throw a dice and if it is, say, a 3, call a multiple of 3 for the division sum to be written on a whiteboard. Decide how remainders are to be expressed. This is useful for consolidating rounding if calculators are allowed. More confident players can be challenged with threedigit numbers.
100 Ideas for Teaching Primary Mathematics by Alan Thwaites


Although many people who are teaching their children math find that it is a difficult task, there are ways to make this process easier for your child and you. One way to do this is by using math workbooks for 1st grade children! Find out more about these helpful tools in this blog article!
What are the Benefits of Math Workbooks for 1st Grade?
Math workbooks can be a great way to help your child learn math. They can provide systematic practice and reinforcement, which can help your child improve their math skills.
There are a few different types of math workbooks that are available. Some math workbooks are particularly designed for 1st-grade students.
It is important to find the right type of math workbook for your child. Some children prefer visual aids while others prefer hands-on activities. You should also consider the format of the workbook, which may include problems and exercises, or lessons and activities.
Math workbooks can be a great way to help your child improve their mathematical and problem-solving skills so they can become good at this subject.
Whichever route you decide to take, make sure that you pick a reputable book that will provide your child with the necessary tools needed to succeed in school and beyond.


I work at Tel Aviv University in Israel as a postdoctoral researcher since September 2022. I completed my PhD in June 2019 at the Institut Fourier, Université Grenoble Alpes, France.
I work in the area of smooth dynamical systems, using techniques from ergodic theory and homogeneous dynamics. Lately, I have been particularly interested in the behavior of the horocycle flow in the moduli space of abelian differentials and related dynamical systems, such as the horospherical foliation in invariant subvarieties of the moduli spaces. I am also interested various applications in counting problems on abelian differentials. During my PhD, I studied the behavior of the isoperiodic foliation and applications to the classification of invariant subvarieties.
Journal of Topology, 2022.
International Mathematical Research Notices, 2021.
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with J. Chaika and B. Weiss. Preprint, 2023.
with P. Smillie, J. Smillie, B. Weiss. Preprint, 2023.
Expository paper, 2022.


EQUIVALENCE MECHANICAL WORK / KINETIC ENERGY
• On the usefulness of the equivalence between mechanical work and kinetic energy
n terminal ballistics, the effectiveness of a projectile in target is characterized by its kinetic energy. The latter gives information on the mechanical work that the projectile is capable of doing on impact, i.e. the damage or lesions that it is likely to cause to the target.
To understand the phenomenon, we must look at the forces that arise during the interaction between the projectile and the target. Indeed, physics tells us that in mechanics, the field that interests us here, the shape or the movement of a body can only be modified by the action of a force (or forces) and that, for there to be a force (or forces), there must be the interaction of at least two bodies. Let us note in passing that if there is a deformation of a body it is that there is a displacement of its constituent elements in relation to each other, thus, in fine, movement.
• The calculation
The second law of dynamics states that the sum of the forces fi applied to a body is equal to the product of its mass m and its acceleration a, i.e. the variation of its velocity with respect to time: a = dv/dt. In condensed mathematical language, this law is written as follows for any number n of forces :
|Equation : 1
or, given that a = dv/dt :
|Equation : 2
When several forces fi are applied to a body, we can make the vectorial sum of them. We thus obtain their resultant F i.e. :
|Equation : 3
This gives the simplified expression :
|Equation : 4
It is a differential equation (since we are working on small variations) of the first order (because the derivative intervenes only once). Its solution is not complicated.
We start by separating the variables :
|Equation : 5
Let us stop for a moment on the above relation, it is interesting. It tells us that a force F, applied for a very short time dt, changes the velocity of a body of mass m by a small proportional amount dv. This is the relation describing the impulse of a force. Let us specify that this is not a mere thought. This formula is, or at least, has been applied in propulsion, in particular pulsoreactors.
Let's continue our way by asking ourselves the question : if we now know what a force applied during a very short time dt gives, what about the same force applied over a very short distance dx.
So we have to go from the time dt, to the distance dx traveled during the same period of time. Let's change the variabl
We know that a velocity is a distance traveled during a certain time, that is :
This gives us :
We finally obtain, by repeating the three steps of our calculation :
We obtain a new differential equation :
|Equation : 6
Which is easily integrated. We obtain :
That is :
|Equation : 7
Fx is a force applied over a distance x. It is called mechanical work. We have just established the relationship between mechanical work and kinetic energy. It is the relation that allows us to understand, in particular in wound ballistics, the mechanism of wounds formation.
For a given amount of kinetic energy at the moment of impact, equation 7 tells us that the smaller the distance x covered by the projectile in the target, the greater the force F and therefore the greater the damage or, in the case of wound ballistics, the greater the injuries.
The munitions manufacturer seeking anti-personal effectiveness therefore has interest in creating projectiles with strong slowing down in target by using mechanisms such as expansion or destabilization if the former is not possible.


News & Announcements
DMIS CELEBRATES MATHEMATICS WEEK
The Department of Mathematics paid tribute to the great mathematician Srinivasa Ramanujan by celebrating Mathematics Week to commemorate his 129th birth anniversary. A week-long celebration continued from December 19th to 22nd, 2016, was marked with games, activities, riddles, puzzles etc. All the Mathematics classes were turned into fun and games. Students learnt new concepts, tested their IQ and other mathematical skills by playing games, solving puzzles and riddles and doing constructive activities. Apart from showing various videos, presentations and charts, grade wise activities and games were organized for all students. They were also introduced to the concepts of Vedic Mathematics which made calculations easy and fun to work with.


Uses a wide variety of rules such as the constant, sum, factor, division, Sin, Cos, multiplication, etc. to solve the differentiation of arbitrary equations. Displays the solving process step-by-step and saves it along with the solution as a text file. Tests what you've learned with a quiz.
Solve any calculus differentiation problem with this calculus tutorial software.
Calculus differentiation and calculus tutorialCalculus Problem Solver can solve differentiation of any arbitrary equation and output the result. It can provide detailed step-by-step solutions to given differentiation problems in a tutorial-like format. On top of these, it can also initiate an interactive quiz in which you can solve differentiation while the computer corrects your solutions.
This software is useful for beginner calculus students and can be used to learn differentiation and even practice differentiation by using the interactive quiz.
Differentiation of input equations that can be solved by the following rules:
Constant Rule: d(C) = 0
Sum Rule: d(E1+E2)=d(E1)+d(E2)
Factor Rule: C*d(X)
Multiplication Rule: d(E1*E2)=d(E1)*E2+E1*d(E2)
Division Rule: d(E1/E2)=(d(E1)*E2-E1*d(E2))/(E2^2)
Power Rule: d(X^N)=N*X^(N-1)*d(X)
Exponential Rule: d(C^X)=ln(C)*C^X*d(X)
Sin Rule: d(sinX)=cosX*d(X)
Cos Rule: d(cosX)=-sinX*d(X)
Tan Rule: 1/((cosX)^2)*d(X)
Arcsin Rule: d(arcsinX)=1/((1-X^2)^0.5)*d(X)
Arctan Rule: d(arctanX)=1/(1+X^2)*d(X):
Detailed step-by-step solution by using the above formulas;
Interactive Quiz with multiple choice and fill-in-blank questions;
Save Solutions in Text Format;
Multiplatform (works on any machine that can handle Java Virtual Machine);


September 10, 2015 Fun game friv Where Is The Cat, this game is in the category 3d Friv Where is the Cat is a funny math game. This is a puzzle based math game which includes several practices of mathematics with a funny presentation. The base concept is the game is to relate the digits with the word.In this game the word CAT is related to a 3 digit number. In which first letter C represents the first digit of a number. Second letter A represents the second digit of the number and the third letter T represents the third digit of the number. If the number is 145 means that the C is 1, The A is 4 and the T is 5. Now if a question may ask C+A=5 to highlight this number. In each question you have to find a number which resembles CAT. For knowing the correct number you will be given some hints. Solve the 50 funny questions of addition, subtraction, multiplication, comparison and algebra to win this game.
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Next game Puzzles in Italy
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Number Bonds to 10 Worksheets Free Printable PDF
Welcome to the Math Salamanders Number Bonds to 10 Worksheets. Here you will find a wide range of free printable Math Fact Worksheets, which will help your child learn their number pairs to 10 and 12.... Teach number bonds to 10 to set your child up for success in math! Learning number bonds can put your child on the fast track to effortlessly adding in their heads.
What2Learn » Number bonds to 10
A Powerpoint with lots of pictures to aid memory. A catchy chant (tune: Jazz chant, scouts march) to help children learn the number bonds to 10.... In this lesson, we will learn. Adding by Making 10 using Number Bonds; Adding Tens and Ones using Number Bonds The following figure shows how to use Number Bonds and Make Ten Strategy for Addition. Scroll down the page for more examples and solutions. Adding by Making 10 The "Make 10" strategy is used in Singapore Math for addition within 20. Using the idea of number bonds, the …
Find the Number Bonds to 10 in an Hands On As We Grow
Use this fantastic activity sheet to help support your child to learn their number bonds up to ten. This fun and engaging activity challenges children to colour grids in two different colours to discover how many different ways there are of making ten. how to fix wry neck in animals Use number bonds to 10 to complete pipe, fill up the rock pool with water and allow the shark to swim off.
Number Bonds up to 10 Games TeachingCave.com
A number bond is simply a pair of numbers that adds up to another number. "Getting" how numbers are made up is a crucial skill for children and provides a foundation for so much that comes after, particularly addition and subtraction, so a really good understanding of number bonds - and even some learning by rote of number bonds to 10 - can be learn how to hack wifi Use number bonds to 10 to complete pipe, fill up the rock pool with water and allow the shark to swim off.
How long can it take?
Free Lessons For Learning Number Bonds To 10
- Learning about numbers with patterns Oxford University Press
- * NEW * Number Bonds Tens Frame Colouring Maths Activity
- EYFS & KS1 Number Bonds Free Early Years & Primary
- Number Bonds up to 10 Games TeachingCave.com
How To Learn Number Bonds To 10
Addition Game - Number Bonds to 10 - Dragon Eggs - Two players take turns throwing the die. The total thrown indicates the number bond focus. The player then chooses 2 numbers which make up the number thrown and places a counter on corresponding eggs.
- A growing number of activities are available in more than one language, not translated, but mixed, so that you may need more than one language to complete the activity. *They encourage study skills in context, and should therefore be used with a range of appropriate information books which are preferably within reach in the classroom.
- What are number facts? Children also learn to use the number bonds to 20 to derive related facts up to 100; for example, if they know 2 + 3 = 5 then they understand that 20 + 30 = 50. Multiplication and related division facts for the 2, 5 and 10 times tables are also learned in Year 2. For example, for the 2x table: 1 x 2 = 2 and 2 ÷ 2 = 1 2 x 2 = 4 and 4 ÷ 2 = 2 3 x 2 = 6 and 6 ÷ 2 = 3
- In this lesson, we will learn. Adding by Making 10 using Number Bonds; Adding Tens and Ones using Number Bonds The following figure shows how to use Number Bonds and Make Ten Strategy for Addition. Scroll down the page for more examples and solutions. Adding by Making 10 The "Make 10" strategy is used in Singapore Math for addition within 20. Using the idea of number bonds, the …
- Printable Number Bonds Worksheets. These Number Bonds Worksheets are great for testing children in their ability to solve number bonds problems for a given sum. A number bond is a mental picture of the relationship between a number and the parts that combine to make it. The concept of number bonds is very basic, an important foundation for understanding how numbers work. A whole thing is made


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Sukanya Samriddhi Yojana can help you accumulate a big amount for your daughters’ education and marriage. Although it is impossible to calculate the exact value of maturity amount from the scheme as the rate of interest will be announced every year. In financial year 2014-15 the rate of interest was 9.1% while for financial year 2015- 16 the interest is declared at a rate of 9.2% for Sukanya Samriddhi Scheme.
Sukanya Samriddhi Account Calculator
You know it is impossible still one want to have a rough estimate or approx. value what investor will get after 21 years. To get this estimate value let us take an example and understand the returns.
Sukanya Samriddhi Calculator Example 1:
Let us assume the rate of interest remain same every year @ 9.1%.
Monthly Investment Rs.10,000/- (Ten Thousand).
Yearly Investment Rs.1,20,000/- (One Lac Twenty Thousand).
So in 14 years you will invest total 16,80,000/- (Sixteen Lac Eighty Thousand).
After 21 years you will get Rs.60,71,283/- (Sixty Lac Seventy One Thousand Two Hundred Eighty Three).
Sukanya Samriddhi Interest Calculator Example 2:
Same way if rate of interest is 9.2 every year then the maturity value will be Rs.61,57,840 (Sixty One Lac Fifty seven Thousand Eight Hundred Forty).
This is the case if one is investing every month.
Sukanya Samriddhi Interest Calculator Case Study 3
But if the investor deposits the total money for the year at once that is Rs.1,20,000 in starting of the financial year than the maturity value will increase.
The maturity value in that case by Interest rate of 9.1% will be Rs.63,12,610 (Sixty Three Lac Twelve Thousand Six Hundred Ten).
For Investors who are in no hurry to use their investments keep them for a long time and do not want to take any risks, SSA is an ideal investment opportunity for the betterment of their girl child.


are you looking for data science & analytics services?
What is Data Science and why is it important for your business?
Data science is a multidisciplinary blend of data inference, algorithm development, and technology in order to solve analytically complex problems. At the core is data. Troves of raw information, streaming in and stored in enterprise data warehouses. Much to learn by mining it.
Since Data Science is not a single domain, it includes a variety of tools and techniques in order to get the right data, make sense of it and convert it into business insights. It is the combination of man and machine in equal measure. For some tasks humans are good but for some other tasks machines are good at it. So it is about doing what one does best. When it comes to research, intellectual curiosity and such other skills, humans are very good at it. When it comes to automation of repeated tasks, machines are unbeatable.
The role of a data scientist is all about playing with big numbers. It is about making sense of the numbers and hence mathematics especially statistics plays a vital part in the day to day routine of a data scientist. Some of the aspects that are important when it comes to the domain of statistics include: Calculus, Probability, Linear Algebra among other skills. Get in touch now to leverage our Data Science experts!


Finite field multiplication is widely used for masking countermeasures against side-channel attacks. The execution time of finite field multiplication implementation is critical as it greatly impacts the overhead of the countermeasure. In this context, the use of exp-log tables is popular for the implementation of finite field multiplication. Yet, its performance is affected by the need for particular code to handle the case where one of the operands equals zero, as log is undefined for zero. As noticed by two recent papers, the zero case can be managed without any extra code by extending the exp table and setting $log$ to a large-enough value. The multiplication of $a$ and $b$ then becomes as simple as: $exp[log[a]+log[b]]$. In this paper, we compare this approach with other implementations of finite field multiplication and show that it provides a good trade-off between memory use and execution time.
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Author Of this post: Nicolas Belleville


An online comprehensive and interactive encyclopedia of mathematics. Categories listed are Algebra, Applied Mathematics, Calculus and Analysis, Discrete Mathematics, Foundations of Mathematics, Geometry, History and Terminology, Number Theory, Probability and Statistics, Recreational Mathematics, and Topology.
Presents organized links for both students and teachers. The linking ranges from mathematical topics, to teaching materials, software and other helpful links. Topics are labeled at various levels of difficulty and interactivity: HS (High School), LD (Lower Division College) Int (Interactive) or Java (Java enhanced).
Internet resource of mathematical functions traditionally published as tables of functions, formulae and graphs. These include elementary and special functions that are significant not only in mathematics but also in the natural sciences, engineering, and other fields.


this page there is a collection of active learning tools for the whole
that can help in innovation and reflection. Each video is available
YouTube and for download. Also included is a brief description of each
technique and I have created a PowerPoint presentation for you to
download and use.
hope it's useful,
Studenets are divided into two groups, the first group creates a series
of questions for the second group, and vice versa. If the group give
the correct answer a point is awarded, otherwise the other group must
give the answer.
Phasing works in three phases, in phase one the students work in
three groups working on a problem, then in phase two the groups are
reorganised into two groups and work further on the problem, finally as
a whole class they finish the problem.


Lebesgue Integration on. Euclidean Space. Frank Jones. Department of Mathematics. Rice University. Houston, Texas. Jones and Bartlett Publishers. Boston. Get this from a library! Lebesgue integration on Euclidean space. [Frank Jones]. Frank Jones. · Rating details · 10 ratings · 2 reviews. Lebesgue Integration on Euclidean Space contains a concrete, intuitive, and patient derivation of.
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Lebesgue integration on Euclidean space
Inside the cover sheets are lists of integration formulae, a fourier transform table, and a table of “assorted facts” on things like the Gamma function; which show that this is not only a book on Lebesgue integration but a calculus book with the Lebesgue integral occupying center stage. Throughout the text, many exercises are incorporated, enabling students to apply new ideas immediately.
Invariance of Lebesgue Measure. Account Options Sign in. Finding libraries that hold this item Shaun Zhang rated it it was amazing Jan 25, Lebesgue Integration on Euclidean Space contains a concrete, intuitive, and patient derivation of Lebesgue measure and integration on Rn.
CiteSeerX — Frank Jones, Lebesgue Integration on Euclidean space, as a textbook.
Remember me on this computer. Search WorldCat Find items in libraries near you.
Lebesgue integration on Euclidean space Frank Jones Snippet view – No trivia or quizzes yet. Want to Read Currently Reading Read. Tristram Needham has done a nice job euclideab these lines with his book “Visual Complex Analysis.
Lebesgue Integration on Euclidean Space, Revised Edition
Ldbesgue of Translation in. Dio Mavroyannis marked it as to-read Jun 15, Jan 31, Joe Cole rated it it was amazing Recommended to Joe by: For example if you take the intersection of a few arbitrary sets and compare it to the intersection with one of those sets left out, this second intersection is the greater. Lists with This Book. Interation marked it as to-read Jul 23, Would you also like to submit a review for this item?
Sara marked it as to-read Jan 27, Jared is currently reading it Jan 17, The first chapter is a review of the needed real analysis concepts and theorems.
Lebesgue Integration on Euclidean Space – Frank Jones – Google Books
Applied Analysis John K. Add a review and share your thoughts with other readers.
Farah marked it as to-read Feb 13, Saptarshi Mukherjee rated it it was amazing Sep 02, Somehow, I always feel more comfortable there! Lebesguf Phuc marked it as to-read Dec 18, Evan marked it as to-read Sep 25, Similar Items Related Subjects: Find a copy in the library Finding libraries that hold this item In addition, the text provides students a through treatment of Fourier analysis, while holistically preparing students to become “workers” in real analysis.
Michael added it Aug 28, Refresh and try again.


October 4th, 2009, 09:04 PM
can you break it down for me
I just stumbled on a site trying to explain
why the sqr rt 2 is irrational
I know that it is
but can't follow the proofs
I've got the sqr rt -1
that makes sense
but the root of 2 is counterintuitive
October 5th, 2009, 03:30 AM
And of course, right after I leave this nice PM in your account, I see this. Ah well, here goes nothing.
A rational number can by definition be expressed as an integer divided by another integer. When that fraction is reduced, then the two integers have no common factors left.
So let's say that sqrt(2) is rational for the moment, and that it equals a/b. a and b are reduced so that they share no common factors.
Now square both sides. You get
2 = a^2 / b^2.
Multiply bother sides by b^2, and you get
2 * b^2 = a^2.
Now any integer squared is an integer, and any integer times an even number is an even number. Therefore, since b^2 is an integer which is then multiplied by an even number, we know that 2*b^2 must be an even integer, and therefore a^2 is an even integer as well.
So a^2 is even. What does that make a? Well, an even*even is even, while an odd*odd is odd. Therefore, a must be even as well.
If a is even, then we know that one of the factors of a is 2. And so we create a new variable k such that a = 2*k. We know k is a factor of a as well as 2, and is therefore an integer.
Let's go back to 2 * b^2 = a^2. Substitute in 2k for a and you get:
2*b^2 = (2k)^2 = 4*k^2.
Divide bother sides by 2 and you get:
b^2 = 2*k^2
Does this situation look familiar? Through the same steps as above, we deduce that b must be even as well, and therefore have 2 as a factor.
But we already said that a has 2 as a factor, and that a and b shared no factors! We have reached a contradiction in our logic, and therefore must work backwards to see what assumptions we have made that led to this conclusion. We have in fact only made one assumption, that sqrt(2) is rational. Therefore, this assumption must be false, and the sqrt(2) cannot be rational.
Therefore, sqrt(2) is irrational. QED.
And with that I bid you good night.
October 5th, 2009, 05:26 AM
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Welcome to the Mathematics Department page. This page contains information on the Bachelor of Science in Mathematics program as well as all relevant information pertaining to the department.
Mathematics Department is a service department continuously developing mathematically skilled, values-driven and competitive Technologians.
The Mathematics department commits to provide students with strong foundation in Mathematics needed in their respective field of specialization through improved classroom instructions and augmentation programs.
Goals and Objectives
Mathematics department is a service oriented department whose primary objective is to deliver Math-related services through classroom-based and computer aided instructions. With its supervision of the BS Mathematics program, the department faces the challenge of developing the potentials of the young who have shown passion and skill in Math problem solving and Math research.
Being a service department, Mathematics department aims to:
1. Develop students who can make decisions which are Mathematically based;
2. Make students appreciate the importance of Mathematics in their day-to-day routines;
3. Enhance their creative, logical, analytical and critical thinking thereby making them competitive, more confident and well-respected individuals.


This video tutorial shows you how to add, subtract, multiply, and divide fractions. It shows you how to convert between improper fractions, mixed numbers, d...
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Adding (Subtracting) Fractions If you have common denominators, add (subtract) the numerators. If not, find common denominators. To find common denominators, factor all the denominators and fill in the missing factors. You can multiply the bottom by whatever you want so long as you multiply the top by the same thing. Multiplying Fractions
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OBJ: MA.7.A.3.2 Add, subtract, multiply, and divide integers, fractions, and terminating decimals, and perform exponential operations with rational bases and whole number exponents including solving problems in everyday contexts. STA: MA.7.A.3.2 TOP: MA.7.A.3 Develop an understanding of operations on all rational numbers and solving linear
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Either multiply the numbers and divide by the GCF (15*12=180, 180/3=60) OR - Divide one of the numbers by the GCF and multiply the answer times the other number (15/3=5, 5*12=60) Multiplying Fractions To Multiply Fractions: Multiply the numerators of the fractions Multiply the denominators of the fractions
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Revise and learn what fractions are and how to order, add, subtract, multiply and divide fractions and work out common factors with BBC Bitesize KS3 Maths.
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Summer is a wonderful time of year, but it also happens to be the time of year when most brain cells are killed, either by fancy drinks with umbrellas in them, or by simple disuse. While I encourage the former, I will attempt over the next few months to prevent the latter. And so, for a limited time only, I am answering any and all of the burning questions you couldn't bring yourself to ask anyone else.
No question is too big, nor too small. I'll answer anything: the philosophical, the tangible, the personal, the hypothetical.
If you have a question, you may leave it in the comments section of this post, or, for the rest of the summer, send me an email: the amazing willy wanker at g mail dot com. Simple as that (only smoosh it all together). Questions can be sent anonymously, but otherwise your website will be plugged into the post. Questions of a timely nature are not suggested because they will be answered sporadically.
What is the circumference of a peach pit?
That's a good one. Since the peach pit referred to in this question was not mailed in with the question, I have no starting measurements. This makes it difficult, but not impossible.
Now, I seem to remember that in mathematics, a certain set of constants are constantly being referred to. Such as, for example, Bernie's constant, or Toby's constant. And I'm sure they're all constantly constant, reliable and unchanging, and ultimately quite boring.
Of course none of these will help us today since I don't know them off the top of my head, and the Bore guy and the Stegasaurus guy are no where in sight. So I'll use a circumference that I am certain of, the earth's: measured at 40, 075.16 kilometres (this is measured at the equator, it's slightly smaller when measured at the poles, so when comparing it to the peach, be sure to tip it on its side).
Okay, so we're making progress. Now, what do the earth and a peach have in common? Well, luckily, since we're taking about circumferences, they're both round. Luckier still, they both have cores. So, after helping myself to a nice slice of pie (apple, of course), my full stomach is able to guesstimate the earth's core at a circumference of 7563.9168 kilometres.
But let's face it, a peach is really small compared to the earth, so it is necessary to use fractions to compare the two.
Now, EARTH and PEACH have 3 letters in common, E, A, and H. That's 3 out of 5, or 6 out of 10, which makes for perfect fraction work!
So, it can be deduced that a peach pit's circumference will be 3/5 of the earth's core's circumference.
Now for some fancy footwork:
We can all agree that measuring a peach pit in kilometres is simply Ludikris, so we'll be converting into centimetres for conveniency. Everyone knows there are 100 centimetres in 1 kilometre. But that would give us a Ludikrisly large number, so instead of multiplying, we'll divide, since that's what common sense tells us to do.
Now we have a measurement of 30.25 centimetres, which is better but not quite right. I know a thing or two about ratios:
40075.16km : 30.25cm
Now there's some junk about dividing by the common denominator, and as previously established, the thing that is common between the earth's crust and the peach's pit seems to be the letter t. And as you know, algebra and geometry people are always falling over each other to throw letters in with their numbers, so this is a perfect fit.
t (the italics mean it's mathematical!)
Now you have to assign some random number to be represented by the letter t, or else our answer will look like a license plate!
So, for no particular reason, t=10
And so the answer is: 3.025cm (remember to tilt it!)
Now I know not everyone has a highly specialized brain like mine, which is able to follow highly complex equations of the mathematical sort. I hope you've all been able to follow along. If not, simply write to me (heretofore to be referred to as "Dr. Math") at my email address, and I will furnish you with my highly-coveted math tutorial, soon to be appearing on the backs of Fruit Loop boxes in a grocery store near you!
And should you have any question at all, no matter how daring or impossible to solve, do send them forward, and prepare to be astounded.


Before we start talking about teaching with IWB, it is important to introduce a bit about IWB related software and supporting materials. Interactive Whiteboard companies and many other companies and projects have developed numerous supplemental instructional materials to exploit the interactive features of IWBs. It is these software and supplemental materials that make the teaching with IWBs more meaningful and student-centered. Without these software and materials, IWB “is just a big monitor and mouse.” (Granger, 2008) IWBs allow teachers to demonstrate concepts and ideas in an easy and efficient way.
Since IWBs can be used in so many different ways, it can be used in a variety of ways to assist math teaching and learning. Most commonly, an IWB can be used as a projector and support “Consider” type of math activities. Students can watch information from video clips, animation, presentation or other information displayed on the screen. An IWB can also support a discussion on a topic by connecting to a Classroom Response System (Clicker) and showing the polling results.
Using the interactive features of IWBs, teachers can demonstrate concepts and ideas very easily and efficiently. The following video shows how the teacher can use the Notebook Math tool by Smartboard:
The video below shows how an Algebra teacher wrote a function on the IWB and then the graph of the function showed immediately on the board with the ability of changing the shape of the graph with the change of factors:
Appropriately using IWB can make the “Practice” type activities interactive and interesting with the support of related Software.
For example, SMART Exchange is the community where SMART technologies related resources are shared. Teachers can go to this online community and then search for lessons, manipulatives, question sets, activity packs and gallery collections by grade level and key words. Use the filter on the left side of the screen to narrow down your search results.
IWB is also a very good tool for students to demonstrate their understanding about a math problem solving process.
In addition, IWB can capture your your students’ handwriting. can be seen in many classrooms to be connected to the computer and used as a projector to show the content on the computer.


4 edition of Multivariate environmental statistics found in the catalog.
Includes bibliographical references.
|Statement||editors, G.P. Patil, C.R. Rao.|
|Series||North-Holland series in statistics and probability ;, v. 6|
|Contributions||Patil, Ganapati P., Rao, C. Radhakrishna 1920-|
|LC Classifications||GE45.S73 M85 1993|
|The Physical Object|
|Pagination||xi, 596 p. :|
|Number of Pages||596|
|LC Control Number||93027385|
Pick up a copy of "Multivariate Statistical Methods: A Primer, Third Edition" (): Bryan F.J. Manly: for Multivariate Statistics. The book is concise and very readable. This contributed volume features invited papers on current models and statistical methods for spatial and multivariate data. With a focus on recent advances in statistics, topics include spatio-temporal aspects, classification techniques, the multivariate outcomes with zero and doubly-inflated data, discrete choice modelling, copula distributions, and feasible algorithmic solutions.
Statistics for Censored Environmental Data Using Minitab® and R, Second Edition is an excellent book for courses on environmental statistics at the upper-undergraduate and graduate levels. The book also serves as a valuable reference for¿environmental professionals, biologists, and ecologists who focus on the water sciences, air quality, and. Hi r/statistics,. I'm a graduate student who will be working with multivariate statistics in the field of environmental microbiology. Do you have any recommendations for textbooks so I can better my understanding of the various multivariate statistical tests, their theory and application?
Multivariate Statistics: An Ecological Perspective Nature is Complex! 2 Advantages of Multivariate Statistics PReflect more accurately the true multidimensional, multivariate nature of natural systems. PProvide a way to handle large data sets with large numbers of variables. PProvide a way of summarizing redundancy in large data sets. I give the authors a very high mark for producing such an excellent book, one that will be of great service to the field of environmental statistics." Abdel El-Shaarawi, Environmentrics, January "Le and Zidek’s well-written book presents a predominantly Bayesian approach to spatiotemporal statistics, with an emphasis on entropy-based.
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A complete introduction to multivariate statistics for environmental science. Introductory Multivariate Statistics for the Environmental Science is a targeted text for those who are dealing with data collected in the field from environmental sources.
Rather than describe in detail the mathematics behind multivariate statistical analysis, the book focuses on the application of analysis to real-world 5/5(2). He is Emeritus Holder of the Eberly Family Chair in Statistics at Penn State and Director of the Center for Multivariate Analysis.
He has long been recognized as one of the world's top statisticians Book Edition: 1. A perspective is to cover a broad spectrum of methods and issues involving multivariate observations and processes, and not just classical multivariate analysis. The book will be valuable to current statistical theory and practice in this area, and will be used by researchers, teachers, and students alike.
About this book Introduces the most commonly used techniques for dealing with multivariate data of the types routinely encountered in environmental investigations. It assumes prior knowledge of multivariate analyses and requires no mathematics beyond simple linear equations.
With its focus on the practical application of the techniques of multivariate statistics, this book shapes the powerful tools of statistics for the specific needs of ecologists and makes statistics more applicable to their course of by: Multivariate statistics has applications in finance, machine learning and the analysis of experimental data.
Most statistics book (e.g., statistics for engineers) provide only sparse coverage for multivariate statistics. Advanced books tend to be more difficult to learn from for those without advanced statistics. Applied Statistics for Environmental Science with R presents the theory and application of statistical techniques in environmental science and aids researchers in choosing the appropriate statistical technique for analyzing their data.
Focusing on the use of univariate and multivariate statistical methods, this book acts as a step-by-step resource to facilitate understanding in the use of R statistical software for interpreting data in the field of environmental.
Requiring only a basic background in statistics, Methods of Multivariate Analysis, Third Edition is an excellent book for courses on multivariate analysis and applied statistics at the upper-undergraduate and graduate levels.
The book also serves as a valuable reference for both statisticians and researchers across a wide variety of by: referred to as multivariate analysis, or multivariate statistics, the topic of this book.
Multivariate analysis uses relationships between variables to order the objects of study according to their collective properties, that is to highlight spectra and gra- dients, and to classify the objects of study, that is to group species or ecosystems in.
The book starts with the simplest of statistical concepts and carries readers forward to a deeper and more extensive understanding of the use of statistics in environmental sciences. The book concerns the application of statistical and other computer methods to.
Multivariate environmental statistics. Amsterdam ; New York: North-Holland, (OCoLC) Online version: Multivariate environmental statistics. Amsterdam ; New York: North-Holland, (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Ganapati P Patil; C.
Open Library is an open, editable library catalog, building towards a web page for every book ever published. Multivariate statistics for the environmental sciences by Peter J.
Shaw,Arnold, Distributed in the United States by Oxford University Press edition, in EnglishPages: Save time by reducing analytical work Reduces the danger of misinterpreting random noise Can be used to explore and describe data sets with many variables Allows for the generation of a hypothesis Suggests patterns to be found with relatively little work Scope of the Book Explain application of multivariate techniques Will not focus on data.
Wildlife researchers and ecologists make widespread use of multivariate statistics in their studies. With its focus on the practical application of the techniques of multivariate statistics, this.
In environmental monitoring, multivariate statistical techniques are playing an increased role as tools to evaluate and assist the anthropogenic changes of the Biosphere : Cris Oprea. Wolfgang Karl Härdle is a Ladislaus von Bortkiewicz Professor of Statistics at the Humboldt-Universität zu Berlin and director of C.A.S.E.
(Center for Applied Statistics and Economics), director of the CRC (Collaborative Research Center) “Economic Risk” and director of the IRTG “High Dimensional Non-stationary Time Series”.
He teaches quantitative finance and semi-parametric. Statistics for Earth and Environmental Scientists presents important statistical concepts through data analytic tools and shows readers how to apply them to real-world problems. Spatial statistics.
Multivariate analysis. Statistics for Earth and Environmental Scientists is an excellent book for courses on quantitative methods in geology. If you look at Paul Hewison's webpage, you can find his free book on Multivariate Statistics and R.
Another free book is by Wolfgang Hardle and Leopold Simar. I have been working my way through Johnson and Wichern, a book that has been used in the US for over twenty years; you will have to buy this book.
multivariate statistics for the environmental sciences Download multivariate statistics for the environmental sciences or read online books in PDF, EPUB, Tuebl, and Mobi Format. Click Download or Read Online button to get multivariate statistics for the environmental sciences book now. This site is like a library, Use search box in the widget to get ebook that you want.
Kathleen M. Yeater has a Ph.D. in Biometry & Statistics from the University of Illinois and is currently a Statistician for the USDA-ARS Plains Area.
Her area of expertise focuses on applied statistics issues in the agricultural sciences, with a special affinity for experimental design and multivariate statistical approaches in the ever. Multivariate Statistics Concepts, Models, and Applications, 2nd Edition (David W.
Stockburger) Multivariate Statistics Concepts, Models, and Applications, 2nd Edition (David W. Stockburger) 1st Edtion: A New View of Statistics (Will G Hopkins) Handbook for a Statistics .Request PDF | On Jan 1,Peter J.A. Shaw and others published Multivariate Statistics for the Environmental Sciences | Find, read and cite all the research you need on ResearchGate.Get this from a library!
Multivariate statistics for the environmental sciences. [Peter J A Shaw] -- "This book introduces the most commonly used techniques for dealing with multivariate data; the sort of multi-species multi-chemical data sets that are routinely encountered in environmental.


This is yet another guest post by our chat agent – Anna
This article is an elaboration/addition to our previously discussed “Weighted Grades and Gradebook Formulas”. You can read it here:
As awesome as automatically generated weighted final grades are in the Gradebook, there are many different features available with formulas, depending on how you would like to use it. Here are some other ideas for using formulas for weighted averages:
Want extra credit to be, say, a flat 10% of a student’s grade? To do this, add an extra weight factor for the category “extra credit” and set its weight percent at 10%. Of course, you can set extra credit to be any percent of the final grade that you choose.For example in the screenshot below, Stewart’s final grade is a 100%.
In order to count extra credit, we use a formula like the one below that includes extra credit as 10% of the final grade.Once the extra credit is taken into account, Stewart’s actual grade increases to 110%.
By using weighted formula for weight percent-based extra credit, as students excel in class, their grade can be scaled up to reflect the extra credit they have earned.
Additional formulas are helpful for times when you might want to average just a few categories together. For example, if you you are looking for an “assessments” average, which finds an average of exams, tests, and quizzes, you could use a weighted average that is not a final grade. For this, average, be sure to uncheck “is final grade?” The formula will appear in the gradebook for teachers, students, and parents, but it’s grade will not appear on a student’s Report Card.
You can also use formulas to average all of a student’s grades in one category. To do this, set the weight percent to 100% and only select the category you want to average.
Combinations of Categories
The grades for a few different categories can combined so that a student’s grades on assignments from these categories are averaged and weighted together in the final grade. For example, if Bellwork and Homework together were supposed to be 20% of a student’s final grade, then you could use one weight factor for these two categories. Simply add a weight factor for 20% and check both categories Bellwork and Homework in the same box.
“What-If” Final Grades
What if the semester ended right now, or between now and the end of the semester, students’ grades did not change? Because final grade formulas can be added at any time during the semester, teachers, students, and parents can see what the final grades for a course might look like if student’s average grades were the same through the rest of the semester.
Using formulas for all sorts of weighted averages is a great way to make Gradebook work for your grading system and your class. Although teachers are the only ones who can set up formulas in their classes’ gradebooks, anyone who can see the gradebooks will be able to see these averages. As part of this, weighted averages and formulas in Gradebook can be a great tool for getting good feedback on how well students are learning in class.
That’s all for now on weighted averages, formulas, and Gradebook. Of course, if you have any questions, please chat in – we would love to help.


In ice hockey, the slot is a rectangular area on the ice which extends to the blue line. It is also the fourth position of the flying display. The word slot is related to the verb sleutana and is cognate with the German Schloss. In other words, the slot is a place where a player can score.
Probability of hitting a particular combination of symbols on a slot machine
The probability of hitting a particular combination of symbols on the slot machine depends on several factors. For example, the more symbols that appear on a single payline, the higher the probability that you will hit a winning combination. If you play on a machine with 20 paylines, your odds of hitting a jackpot are about 80%. However, the odds for hitting a specific combination vary greatly from machine to machine.
To calculate the odds of hitting a particular combination of symbols, first calculate how many symbols you need on a single payline to win the jackpot. If three apples appear on a single payline, your odds are 1/1000. Similarly, if three cherries appear on the same payline, the odds are 1/1000.
Probability of hitting a jackpot in a series of wins
One way to improve your odds of winning the lottery is to buy more than one ticket. Although this method does increase your odds, the increase is slight. If you purchase ten tickets, your odds increase from one in 292 million to one in 29.2. By the time you buy all of your tickets, you have the same odds as someone who will die in an asteroid collision or a plane crash.
There are many factors that influence the probability of hitting a jackpot. The overall odds of hitting a jackpot on a slot machine are approximately 1 in 8.5 million. This is much lower than the chance of winning a lottery jackpot if you play a game with a jackpot of $1 million or more. Another factor is the variance, which is the wildcard in the slot machine game.
Rules for playing a slot machine
The basic goal of playing slots is to collect a payout. In order to do this, you must find matching symbols on all paylines. The more identical symbols you have, the higher your payout. To maximize your payout, look for machines with a higher payout percentage. However, remember that you can never be sure that you’ll win.
A slot machine is a tall machine with spinning reels and a series of symbols on them. When you press the spin button, these symbols will land in an order of three. If you find three matching symbols, you win a sum of money.
Ways to calculate your chances of hitting a jackpot
Knowing how to calculate your chances of hitting a jackpot while playing slot machines online is crucial. The first step is determining which variables to use to determine the probability of winning the jackpot. There is no such thing as a perfect method of calculating the odds, but if you’re willing to make reasonable assumptions, you should have no problem estimating the odds of hitting a jackpot. There are three main variables that you can use to determine your chances of hitting a jackpot when playing slots online.
The most basic way to calculate your odds of hitting a jackpot while playing slot games is by dividing the number of possible outcomes by the number of symbols on the reels. For example, if you’re playing an open-ended progressive slot, you can calculate the odds of hitting a jackpot based on the probability that three cherries appear on each reel. This would mean that your chances of winning are one in ten thousand.


After learning the Gas law, that I got some general idea of the beauty of equations, I think the expression of textbooks is pretty strange, they trying to divide one simple formula to several different unclear ones, hmm…
I think the better the equation is the more factors it includes in; it does not let the question become complicated but even make it even simpler because people do not need to think about do they include some factors or not, so which even help them understand the concept better.
Here is the Ideal Gas Equation:
Then we have:
-The Boyle’s Law:
-The Charles Law:
-The Gay-Lussac’s Law:
All three equations above could be explained by the Ideal Gas Equation because they just keep the other two factors in constant, and do a “simplified equation” of two other factors remained.
That we can notice that only the Boyle’s Law is two factors multiply with each other, because they are on the same side of the Ideal Gas Equation, so if we keep the other two factors in constant, they must have an inverse relationship.
Which is P1V1=nRT, P2V2=nRT, because nRT is the same, so we got the Boyle’s Law. However, there could be less deviation between the Ideal Gas condition and the real gas condition, because we can put more factor here. Assume we consider the size of the particle effect the behavior, maybe we can invent a new equation.