Yesterday, there being no work to do, I slept late, and then spent a good part of the day studying "Mathematics &
The Imagination." This book is extraordinarily interesting, and has opened a new field of thought to me, about which I
have known nothing. I have drawn two conclusions from having read the book. (1) Everyone's (i.e. our children's) mathematical
education should include differential & integral calculus, and (2) mathematics is taught all wrong in our schools. We
study the details to such an extent that we lose sight of the significance of the whole inquiry. Thus, in Euclidean geometry,
we spend hour after hour following through the proof of all his theorems, whereas, I feel sure, we should spend perhaps half
as long on that (since once you've done 6 or 8, you can do the rest easily enough), and the rest of the time should be
spent analyzing axioms and postulates, relative geometry to thought, to reality, and to non-Euclidean geometries, such as
Riemann's or Lobachensky's. In algebra, we study hours on the details of solving first and second degree equations.
We should also spend hours analyzing the tools of algebra - roots, symbols, geometric analysis, numbers (real, prime, rational,
irrational, transfinite, etc.) Thus algebra begins to have some meaning and ceases to be a tiresome exercise.
Then in the afternoon I tramped around and got a little exercise. Investigated a bomb shelter which the Heinies had built
for the inhabitants of the town. It appears to have been well used!
Have you ever thought of the strange ways of thought of Americans as regards how we term our friends and our enemies? Thus,
we call our allies Frogs, Dagos, Wops, and Limeys, while for our enemy we have our almost affectionate term - Jerry. These
names are harmful, and connote, I believe, an underlying, deep, mental feeling of superiority and even contempt. In any case,
it certainly doesn't make sense.


Why we'd been looking into homeschool before COVID-19
Our eldest, EG - age 8, is behind in reading. Sure, she's on an ISP with the district school despite attending a parochial school. Yes, she gets extra help and sees the reading resource teacher 4 days a week (also known as every day the teacher is on site). The school is doing pretty much about all they can. While we appreciate it, EG is still behind and, given how both she and her teacher describe her behavior in class, falling further behind.
So, with this sudden homeschool requirement (and please note that as of this writing we've been out of school for 1.5 weeks and had exactly 1 e-learning day), I decided to take advantage of the opportunity to find out what EG's true reading level is and help her advance.
With that in mind, let me tell you about the online and offline things we are doing for homeschool.
First, I assessed EG's reading level using ReadingEggs.com. They have a 30 day trial going on -- we actually started ours before schools closed in our state. The assessment came back with a reading level of 6 years old -- kindergarten.
EG is 8 and in second grade. She describes herself as not understanding the written directions and waiting for the kids around her to help her figure out what to do (because the teacher is often busy too).
Since I know EG also has a tendency to blow-off tests, her reading level might be higher. Either way, I decided to go with the lower level. My objective: get EG feeling confident in reading.
I think both her reading and her confidence in reading have already improved. It might not be by a grade level -- I'm sure she's still behind -- but she has improved.
EG is actually at grade level in math and a bit bored. The school is using Eureka Math for teaching. EG is one of those who has a certain amount of addition and subtraction memorized. She also has little interest in learning yet another way to do something she already knows how to do just because. Math is actually fairly easy for her to pick up on and I'm not pushing it too much.
What EG's math looks like now:
Later this week she will start using Khan Academy for math (I'm figuring out where to start her so she doesn't get bored)
All those other subjects...
I'll be honest, my mental energy isn't high enough to do a whole lot more. I've never been a professional teacher. The reading and math take up the better part of 2 hours for us. So, for now, other subjects are getting shoved aside. That said...
We are watching Home Safari at the Cincinnati Zoo daily as our science lesson. We also watched the live births of a hippo and a giraffe.
For Physical Education and to get our wiggles out, we've been watching GoNoodles, Cosmic Kids Yoga -- which the kids ask for the most, and Coach Wood.
For the Pre-schooler:
For math we practice counting to twenty in English and Spanish. I'd like to add shape and color identification into the mix in the coming days. It's all about getting things set out beforehand!
That's it for us -- for now!
Please drop me a comment or email and let me know about how you've structured your sudden homeschool days. Thanks. Enjoy this time as best you can. It's weird and great and hard and fun all at once.
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The Connected Perimeter
It is now time to consider some more attractive examples to illustrate how, even with only a beginner’s knowledge of computer graphics, it is still possible to draw aesthetically pleasing patterns.
This was fun, and frustrating. Here are my thoughts about working on Exercise 1.8 in (Angell and Griffith, p.17). Get the above file at PlotterFiles.
The objective is to connect all the N points around the perimeter of a circle. The book has a nice listing of the program that draws the figure. And then points out that “if you are using a pen plotter then [the] listing … is not a very efficient way of drawing the pattern.” The next problem (1.9) describes a method referencing the Fibonocci sequence as a way of connecting the points around the perimeter of a square.
Well, I chased that for a while and it really seems to have been a red herring. Or too clever for me. Although I’m really not sure how it connects all the points on a circle when the sequence skips a larger and larger group of numbers as it goes on.
It also distracted me from the relatively simple modification to the listing needed to greatly shorten the trajectory of the pen in the plotter. Here is my pseudo-code of my solution.
You can see the output of the book’s listing, for N=30, in the first tweet (on HP paper). The paper is excellent printer paper, but not up to the task of being hit with a pen in the same place 30 times. It gets pretty roughed up.
I’ll note also that using this algorithm and stopping early has some nice potential for other shapes.
Done mostly efficiently. There are three improvements that I can still think of that would make it the shortest path, but I think this is close enough for now. I think I have gotten most of the gains anyway. Glad to be moving on to more things! #plottertwitter pic.twitter.com/PwiCChowOQ— pentronik (@pentronik) August 30, 2020
The second tweet has the results of my code (based on the pseudo-code above). It is on the back of some Strathmore 300 series Bristol. It handles it better, and also there is a lot less pick up and put down of the pen. But still, the surface is not perfect. It is the edge points that suffer the most, the central point which also is crossed 30 times isn’t so bad looking.
I would have to say my favorite bits of this are around the central point, and the “eggs” fourth ring from the center. Overall, I quite like it, it’s nice that such a pleasing thing is “easily” accessible. Really looking forward to learning some more things from this book.
While my solution is quite a bit shorter in travel distance than the original listing, I don’t think it quite makes it to the full 50% reduction. I’ll update with some measurements when I get a chance. I have identified some some further improvements that could be made, if necessary, at a later date.
- In my implementation, there are unnecessary pen up/down steps. This is the pen moving to the start point. It’s already at the start point. I am too pig-headed to do the simple thing and check that the x,y location is at the start point. I would rather check it by indices or something else, and ran out of steam to figure that out this afternoon.
- Probably fairly easy is fact that for the directly across points, it still does travel all the way back across the circle, and the over one point. I really wanted it to go to the next point and draw the line back. Why are even numbers so hard?
- The hardest one. There are unnecessary moves back to the start point. For the circle, at least, the figure is rotationally symmetric. The turtle doesn’t need to move back to the start point. Instead it could use that rotational symmetry to advantage and pick up one of the other jumps. The difficulty with this is the necessary bookkeeping to ensure that all points are visited for all jumps.
It is not clear that all these features are necessary or will even work if I want to generalize to perimeters of other convex polygons. And draw points along the perimeter of the polygon not equal to or even with the number of vertices of the polygon, and not overdraw the sides of the polygon.
Angell, I.O. and Griffith, G., High-resolution Computer Graphics Using FORTRAN 77, 1987.
There is lots of good stuff in here. @pentronikMore Details


Dreams are free but a quality education to achieve those dreams can cost a bundle. That's why the Chickasaw Nation wants to help its citizens reach their full potential with grants, scholarships and incentives. Programs are available for all age groups.
The Chickasaw Nation Science, Technology and Math Program, or STEM, is very cool: it teaches engineering, gravity, electronics, teamwork, web design, sportsmanship, advertising, math and science...and it does it with robots. Follow these students, with the Chickasaw Nation's Metal Mayhem team, as they enter their two robots, Anakin and Luke, in the 2011 Annual First Robotics Regional Competition. For more information, visit Chickasaw.net.


One Is A Snail, Ten Is A Crab
A Counting by Feet BookBook - 2003
If one is a snail, and two is a person... we must be counting by feet! Children will love this hilariously illustrated introduction to simple counting and multiplication with big feet and small - on people and spiders, dogs and insects, snails and crabs - from one to one hundred! Age 3+.
Publisher: London :, Walker,, 2003.
Branch Call Number: J PIC
Characteristics: 1 volume (unpaged) : colour illustrations ; 24 cm.


Part 1 focuses on the definitions while the Part 2 explains the k-factor and its relation to Cd. This part demonstrates a few worked examples about defining the equivalent area and choosing the right grille size with the right Cd value. Furthermore, it is explained how the volumetric loss coefficient, k-factor of a louvre, should be used in a CFD simulation and why the inlet and outlet losses should be excluded.
A car park with 100 m2 floor area is required to have openings on the walls of which the equivalent area is equal to 2.5% of the floor area. The total area of the structural openings is equal to 4 m2. A type of louvre will be installed to the openings. Define the properties of the louvre by following the questions:
- a. What is the minimum Cd value the openings (louvre assembly) should have?
- b. What is the maximum loss coefficient (k-factor) the openings (louvre assembly) can have?
- c. What is the maximum loss coefficient (k-factor) the louvre itself can have (exclude inlet and outlet losses)?
- d. What volumetric loss coefficient (zeta value or k-factor) should be used in computational fluid dynamics (CFD) model?
The required area is 2.5% of 100 m2= 2.5 m2 equivalent area
Aerodynamic area of the openings and the square edged orifice must be equal to ascertain the same flow performance as the square edge orifice.
The k-factor of an orifice which has an opening of a half size of the duct width is around 2-2.5 depending on the geometry. When an approximate k-factor of 2.25 of an orifice inserted into the previously derived equation, Cd = sqrt(1/ξ), we obtain Cd of a squared edged orifice which roughly equals to 0.67.
The minimum coefficient of discharge (answer to (a)) and the maximum k-factor of the louvre assembly (answer to (b)) are, respectively:
Note that the found values above indicate the complete assembly including the inlet loss, the louvre loss and the exit loss. We can replace the combination of the inlet and the exit losses with the approximate k-factor (i.e. 2.25 as used above) of an orifice. Therefore the k-factor of only the louvre itself is expressed as below (answer to (c) and (d)). This value should also be used in CFD calculations as a volumetric loss (1/m) coefficient.
Catalogue coefficient of discharge value of a louvre, is 0.24. What zeta (or k-factor) value should it be used for the louvre in the CFD model?
Based on the derived equations in the previous part of the blog, the k-factor can be found as:
However, depending on how the test of the grille had been executed (which is almost always described in the data sheets of the grilles, for standard test setup see also further below) the measured loss of the grille also accounts for in and/or outlet losses. In the CFD simulation the inlet and outlet losses for the air to go in and out of the grille are always modelled and therefore already accounted for. However, the grille itself is often to detailed and not fully modelled. Therefore, the inlet and/or outlet losses must be subtracted from the K-factor as obtained from the data sheet value. In our case, assuming that the test data accounted for inlet and outlet losses we subtract 2.25 from 17.36 to get to a K-factor to be applied in the CFD of 15.11.
Cd determination through standardized test of EN 13030
This part is a proof of concept that the derived equations fit the calculated CFD data.
According to test method of EN 13030 Ventilation for buildings - Terminals - Performance testing of louvres subjected to simulated rain, the Cd value is calculated based on a few parameters that involve the flow rate and a measured pressure. The pressure is measured at a specified location as shown in the figure below. It is right next below the outlet opening in the aerodynamic measurement section. The location corresponds to 310 mm above the ground and 100 mm away from the upstream wall.
To investigate the spatial dynamics in the test apparatus enclosure, we have modelled the section in CFD environment. A 3D model of the apparatus is seen in the figure below.
The pressure measurement point in CFD model is identical to the EN13030 location.
The applied volume flow through the openings is 2 m3/s. The orifice opening has dimensions of 0.85 m x 0.85 m x 0.1 m.
The result of the calculation shows that the coefficient of discharge is approximately 0.68 which is in range of the literature Cd value which is between 0.6 - 0.8 (Depending on Re number) and the assumed example case with Cd of 0.67 above. The pressure measurement point is out of the high velocity zone and is measuring the average pressure difference of around 10 Pa.
CFD is a proved tool to design, develop, verify and test the performance of louvres in any configuration. We would be happy to able to help you should you have any queries for your product. Feel free to contact us.
Want to know more?


Facts, Fiction and What Is Area in Math
You are able to also figure out the area of a circle utilizing the circle’s radius. In order to compute the area of a circle you will need to know the idea of Pi. The shoelace formula can likewise be utilized to locate the areas of different polygons when their vertices are known.
Actually, making models is a huge part of the actual work of mathematicians. The consequence of the classifier is pro essay writers the name of the individual! There are a few different methods of locating the vertex.
If you are a newcomer to tutoring services, it could take some opportunity to balance the career and your financial plan. The second story is much more important and complicated. Come along with me for tips about how to raise your kid’s numeracy.
The students ought to be encouraged to develop their own reference for a centimetre, for instance, a fingernail or a little button. The parallel sides could possibly be unequal in length and the remainder of both sides might not be parallel. The region of the huge square is 16cm2.
The idea of area is extremely much used in real life. Now let’s see how we’d work with area to work out perimeter. When finding thearea of a sector, you are really locating a fractional area of the region of http://admissions.med.ufl.edu/ the whole circle.
If you find a rainbow, there’s almost always a red color. There are several different kinds of maths we use each and every day. To put it differently, all the colours of a rainbow.
In reality you might find that paint is simply sold in 5 litre or one litre cans, the end result is right over 11 litres. The object you place in the water ought to be big enough to push water over the borders of the bowl. When renting an apartment, the capability to figure out the amount per square foot lets you establish if you’re paying too much.
Definitions of What Is Area in Math
The both of you would want to explore together what feels good. Since you can verify for yourself, the 2 figures above are composed of two distinct rearrangements of the exact same four pieces. If you are requested to work out the product of two numbers then you have to multiply the 2 numbers together.
If you are a newcomer to tutoring services, it could take some opportunity to balance the career and your financial plan. Hope you’re having an excellent day. From early on, children begin to put order in their worlds by counting.
Think of methods to use the skills you must approach new troubles. By the way, you’re not learning math to attend a college. Making feeling of the true world https://grademiners.com can be challenging since there are all those complex systems interacting at precisely the same moment.
A tutoring business might be the very best selection for a person who requires a tutor with a particular specialty. Preschool math is actually all about giving your three to five year-old child an everyday experience with numbers so that they’re familiarized with a number of the basic concepts they will utilize to construct their comprehension of math later on. If they are not good at math and also if they could not solve the questions, and if you do not let them waste their time or distract other students, they start asking that notorious question.
Knowing the measurements of the object, you can readily figure out the cross section. Well, base times height that is r times r that’s r2. Tell the children to earn a shape.
New Questions About What Is Area in Math
All we have to figure out is the height. Regardless of what the shape is, add all sides to discover the perimeter. The wonderful thing about the counting system is that so long as the shapes are on grid paper or the coordinate plane, you can merely count the amount of squares contained within the shape.
Area can be calculated using simple formulas, based on the sort of shape you’re working with. In mathematics, it is defined as the amount of two-dimensional space occupied by a shape. It is the total space within the triangle.
So, the very first portion of the cylinder equation gives us the region of the 2 circles. Using formulae to compute the regions of common polygons is the last stage of the learning sequence. 1 such formula is named Heron’s formula, and it works for any sort of triangle.
Pull on the books to find out if you’re able to pull them apart. The very first story is comparatively straightforward. Many fantastic discoveries can be attributed to many people at several points in time.
The scariest thing about Mobileye’s proposal is the fact that it has a great likelihood of being a national law. The very first story is comparatively straightforward. Many fantastic discoveries can be attributed to many people at several points in time.
Calculating its area utilizing geometry math would be quite time-consuming. Verify that it is the same as what you can see in the picture. You might also have to compute the area readily available in a room before purchasing new furniture.


Once again, it’s time to update my calculator recommendations for the 2020 school year. Each year, I try to create a list to reflect the changes that have happened with new models and new operating systems. This lets me share my thoughts as a long time teacher about what the best graphing calculators are in a classroom setting. This year, I’m doing this list a little differently, with specific categories of calculators and winners in each. Based on their ease of use and features for learning in the classroom, and my experience using and teaching with these graphing calculators, these are my picks for the best graphing calculators of 2020.
You can examine graphs and display data on the screen, which is backlit for better viewing. You can explore all of the preloaded programs that can be used with particular subjects or courses. The TI-89 Titanium is definitely designed for a user who has experience with graphing calculators because a novice may become overwhelmed with all of the available functions.
Need For Speed Heat (For Pc)
Please note that some links on this site are affiliate links, meaning a percentage of your purchase will support my work at Tech Powered Math at no additional cost to you. Graphing calculators are useful for anybody who needs to be able to program customized functionality into their device, or for anyone who needs to be able to plot points on a graph. This includes engineering majors, as well as those taking geometry or calculus classes. Graphic calculators are significantly more expensive than scientific models. It is also worth noting that there may be classes or tests in which a scientific calculator is allowed, but a graphing one is not.
Another advantage of the TI-84 Plus CE is the sleek design and full-color option. This calculator is one of the most popular graphing calculators because it is simple to use for the college student. It comes preloaded with a multitude of amazing applications. These applications range from data collecting and inequality graphing to proper notation. You are probably now even more comfortable and confident about graphing calculators and ready to make a purchase.
- Premium versions of the app, which include unlimited trips and tricounts, start at 99 cents and up.
- Not quite sure how much to tip when traveling internationally?
- Never be baffled by Celsius temperatures or suitcase weight in kilos again with the Metric Conversions app.
One of the best advantages of this calculator is the number of available functions, and it’s easy to use design. The available features allow for diverse calculations for various college courses.
Despite some similarities, scientific calculators should not be confused with graphing calculators. Graphing calculators contain a superset of scientific calculator functionality, in addition to having the ability to plot graphs. Most are programmable, as well, meaning that the user can create custom programs perfectly suited to their specific needs. For these reasons, a graphing calculator can be fully capable replacement for a scientific calculator in all applications, but not vice versa.
Basic calculators, as mentioned previously, are generally only capable of four functions, addition, subtraction, multiplication, and division. Some may be able to calculate square roots and percentages, as well, but in truth, these are just applications of a combination of some the four basic functions. If your mathematics needs don’t extend beyond these functions, then there is no reason to spend more money on one of the more advanced calculator types. Since basic calculators have a very limited functionality, they can be quite compact and lightweight too, as they don’t require too many buttons, making them very easy to transport.
They also have dedicated trigonometry and logarithmic buttons. As such, the TI-36X Pro remains the top choice for standard scientific endeavors, and the TI-84 Plus CE is still the calculator to use for students who need advanced, yet still test-approved, graphing functions. If you’re not concerned about proctored tests, the Texas Instruments Nspire CX II and TI NSpire CAS are both highly advanced options that boast significantly more complex processing systems and displays than many others. The high-resolution display is large enough for those individuals who have trouble seeing the smaller standard displays on other calculators.
The newest model, the TI-84 Plus CE, gives the Nspire a run for its money with a very thin, light design, a color screen, and a battery than can literally go for months without charging when in “sleep” mode. Like many of the models on this list, the new TI-84 Plus CE can now graph on images as well. It is a big step up from older, black and white versions of the TI-84 Plus, and it doesn’t cost much more. Texas Instruments has introduced many fun download free software new colors for the TI-84 Plus CE that are available on Amazon.


Compound Interest Calculator
Projection for years
The Power of Compound Interest: A Comprehensive Guide to Using a Compound Interest Calculator
Compound interest is a financial concept that can work wonders for your savings and investments. Whether you’re saving for retirement, planning to buy a home, or investing for the future, understanding how compound interest works and utilizing a compound interest calculator can be a valuable tool in achieving your financial goals. In this article, we’ll explore the fundamentals of compound interest and guide you through the usage of a compound interest calculator.
Understanding Compound Interest
Compound interest is the interest calculated on both the initial principal and the accumulated interest from previous periods on a deposit or loan. It’s the opposite of simple interest, which is calculated only on the initial amount. Compound interest allows your money to grow at an accelerating rate because, as your investment or savings grow, the interest earned in each period is added to the principal for the next period.
The compound interest formula is:
A = P(1 + r/n)^(nt)
Where: A = the future value of the investment/loan, including interest P = the initial principal (the starting amount) r = the annual interest rate (as a decimal) n = the number of times that interest is compounded per year t = the number of years the money is invested or borrowed for
Using a Compound Interest Calculator
Calculating compound interest manually can be cumbersome, but thanks to online compound interest calculators, the process is now a breeze. Here’s how to use one:
- Input the Principal (P): Start by entering the initial amount of money you have to invest or save. This is the amount you are starting with.
- Annual Interest Rate (r): Next, input the annual interest rate. Be sure to enter this as a decimal, so if the interest rate is 5%, enter 0.05.
- Compounding Frequency (n): Specify how frequently the interest is compounded, whether it’s annually, semi-annually, quarterly, monthly, or daily. For example, if it’s compounded monthly, set n to 12.
- Time Period (t): Enter the number of years for which you plan to invest or save.
- Calculate: Click the “calculate” or “compute” button, and the calculator will provide you with the future value of your investment or savings.
Benefits of Using a Compound Interest Calculator
- Accuracy: Compound interest calculations can be complex, especially for long-term investments. A calculator ensures that your calculations are precise and free from human errors.
- Time-Saving: Manually calculating compound interest can be time-consuming. A calculator provides instant results, allowing you to make quicker and more informed financial decisions.
- What-If Scenarios: You can use the calculator to explore different scenarios, such as changing the interest rate, compounding frequency, or the duration of your investment, helping you plan your financial strategy effectively.
- Investment Planning: Compound interest calculators help you set realistic financial goals and create a roadmap for achieving them. You can determine how much you need to save or invest to reach specific milestones.
- Investment Comparison: You can use a compound interest calculator to compare different investment options. This can help you choose the best investment or savings plan for your financial objectives.
- Educational Tool: Compound interest calculators are excellent tools for learning about the financial implications of saving and investing. They can help you grasp the concept of exponential growth in your finances.
Compound interest is a powerful tool that can significantly boost your savings and investments over time. By using a compound interest calculator, you can take advantage of this financial concept to make informed decisions about your financial future. Whether you’re planning for retirement, saving for a major purchase, or investing for the long term, understanding and utilizing compound interest can put you on the path to achieving your financial goals. So, give it a try and see how compound interest can work for you!


By Leo Corry
In this e-book, Leo Corry tells the tale at the back of the assumption of quantity from the early days of the Pythagoreans, up till the flip of the 20 th century. He provides an summary of the way numbers have been dealt with and conceived in classical Greek arithmetic, within the arithmetic of Islam, in ecu arithmetic of the center a long time and the Renaissance, through the clinical revolution, throughout to the math of the 18th to the early twentieth century.
Focusing on either foundational debates and sensible use numbers, and displaying how the tale of numbers is in detail associated with that of the belief of equation, this booklet presents a beneficial perception to numbers for undergraduate scholars, lecturers, engineers, expert mathematicians, and someone with an curiosity within the background of mathematics.
Read or Download A Brief History of Numbers PDF
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Within the spring of 1976, George Andrews of Pennsylvania country college visited the library at Trinity university, Cambridge, to ascertain the papers of the overdue G. N. Watson. between those papers, Andrews found a sheaf of 138 pages within the handwriting of Srinivasa Ramanujan. This manuscript was once quickly certain, 'Ramanujan's misplaced pc.
Noncommutative Geometry and Cayley-smooth Orders explains the idea of Cayley-smooth orders in principal easy algebras over functionality fields of sorts. specifically, the ebook describes the étale neighborhood constitution of such orders in addition to their valuable singularities and finite dimensional representations.
This quantity includes refereed papers regarding the lectures and talks given at a convention held in Siena (Italy) in June 2004. additionally incorporated are learn papers that grew out of discussions one of the individuals and their collaborators. the entire papers are study papers, yet a few of them additionally comprise expository sections which target to replace the cutting-edge at the classical topic of specified projective types and their functions and new developments like phylogenetic algebraic geometry.
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Extra info for A Brief History of Numbers
A Brief History of Numbers by Leo Corry


|Programmer's Python Data - Bignum|
|Written by Mike James|
|Monday, 02 May 2022|
Page 2 of 3
Python’s Bignum Integer Type
The majority of programming languages provide several integer types which cover different ranges of values. The idea is that you only need to use the amount of storage appropriate for the range. For example, a 1-byte integer can only store -127 to +128 and if you try to store anything outside of this range you generate an error or the value is truncated to fit into the range. Python doesn’t implement integers in this way. Instead it supports a “bignum” integer type which can work with arbitrarily large numbers, which simply take as much memory as needed to store the value. Although you might expect this method of implementing an unlimited range of integers to be too inefficient, Python makes it work well enough.
If you want faster integers then you can use libraries such as NumPy, which provides fixed-size integers.
The promise of unlimited-precision integers is one that is intoxicating for programmers used to other languages where integer overflow is a constant worry, or should be. In most languages and expression such as:
myVar = 2**200
that is 2200, would result in an error message, but in Python you can follow it by:
As long as you restrict yourself to integer types you can forget the problems of overflow or generally running out of digits. Computations are performed accurately and there is no loss of digits. Of course, you cannot represent fractions unless you use fixed-point representation where you regard everything as multiplied by a large power of 10. This can be done, but it isn’t as easy as it first appears and generally it isn’t worth it.
Bignum arithmetic is so easy to use that you can more or less ignore problems of overflow. For example, in most other language the task of computing the factorial (n! = n*n-1*n-2...*1) produces an overflow at around n = 13.
If you try this using Python you can see values that are much larger:
f = 1 k = 1 while(True): k=k+1 f=f*k print(f,k)
2 2 6 3 24 4 120 5 720 6 5040 7 40320 8 362880 9 3628800 10 39916800 11 479001600 12 6227020800 13 87178291200 14 1307674368000 15 20922789888000 16 355687428096000 17 6402373705728000 18 121645100408832000 19 2432902008176640000 20 51090942171709440000 21 1124000727777607680000 22 25852016738884976640000 23 620448401733239439360000 24 15511210043330985984000000 25
and so on up to very large values.
Most of the time when you write an arithmetic expression that involves only bignums the result is another bignum. This includes the usual arithmetic operators and functions +.-.*, but not division /. If you divide two integers then the result is a float and hence usually a loss of precision. For example:
myVar = 2**200 print (myVar) myVar = myVar/2 print (myVar*2)
which isn’t bad for the number of digits the float represents. You can, of course, also try to create a value that is too big for a float.
For example, if you change the first line to:
myVar = 2**2000
you will see:
As soon as you convert an integer to a float you have to start thinking about overflow and precision problems. If you want to perform division but don’t want to convert to float then you can use the integer division operator // which performs truncating division. i.e. any fractional part is ignored. You can apply // to any numeric type including float and in this case the result is a float and a//b returns the most general type of a and b. That is, if a is an int and b is a float the result is a float. If a and b are both int then the result is int. For example:
myVar=2**200+1 print (myVar) myVar=myVar//2 print (myVar*2)
and you can see the results differ in the last digit because the original is an odd number and the result has to be even. Notice that // always rounds towards minus infinity. For example, 1//2 (exactly 0.5) is 0 and -1/2 (exactly -0.5) is -1. The reason for this is due to the way negative numbers are represented and in both cases it corresponds to truncating any fractional part in the exact result.
The other less common arithmetic operators also work with bignums:
myVar=2**200+1 print (divmod(myVar,12345678901234567890))
1606938044258990275541962092341162602522202993782792835301377 (130161982756436057245270848995428623856352, 6540610052683564097)
The ability to do high precision integer calculations as standard in Python opens up many possibilities, but it also presents some interesting problems for programmers more used to fixed-precision integers. As well as representing numbers, integers are often used to represent bit patterns that are used to work directly with hardware or as part of low-level algorithms. For example, the integer 5 has the single byte representation 00000101 and in other languages you would simply select an integer data type that was one byte in size and set it to the value 5 to make use of this bit pattern. But in Python integers aren’t set to occupy a fixed amount of storage and so you can’t just assume that myVar = 5 will give you a single byte suitable for use as a bit pattern. Instead you have to use the to_bytes method which converts the number to an array of bytes that you can then use as a bit pattern, more of this in Chapter 12.
|Last Updated ( Wednesday, 04 May 2022 )|


If you would like to know more about Common Core Standards, check out the website below:
Additionally, there is a short video that explains Common Core State Standards in a general way, here.
Pearson Prentice Hall textbooks are being utilized throughout the curriculum at South Valley Preparatory School. As part of our efforts to provide its students and parents with home resources that are user friendly and easily accessed at home any time of the day or night, Pearson Prentice Hall has provided us with a website filled with online resources designed to allow students to get in valuable extra practice with various concepts. Parent links are designed to help parents assist their children with easy to understand explanations that will make homework time easier.
Additional online links are provided to allow students access to resources that can be used to complete class projects.
Links are available for every core subject area: Science, Social Studies, Mathematics and Language Arts.
The math curriculum at SVPS is Connected Mathematics by Pearson Prentice Hall. Connected Mathematics is a rigorous math program aimed at promoting and developing problem solving and critical thinking skills. Pearson Prentice Hall provides help for students and parents at the following website:http://www.phschool.com/cmp2/
Teacherweb! Teacherweb helps teachers design and customize webpages that target the particular needs of each teacher. Students and parents alike have 24 hour access to each teacher’s webpage. Each teacher has individually developed their webpage to focus on the core needs of their students, providing fun and interactive activities designed to provide extra practice, build proficiency and develop each student’s ability to access resources that can be used to complete individual and class projects. Teachers at SVPS use their website to post important class information and updates. It is a great way to keep up with what each class or grade level is studying. Each teacher webpage contains an email link and can be easily utilized to make communicating with your child’s teacher easy and fast. Students may use the email link to submit homework and projects! Its easy and free!
Join us at: www.teacherweb.com
Click on “Find Your Teacher” and you’re on your way to what will become a valuable study and homework resource.
Teachertube! Not like Youtube, this website allows access to teacher presentations and student generated projects that are aimed at helping parents to experience new ways of presenting familiar concepts and ideas. It is a great place to view demonstrations and gather ideas for class projects. www.teachertube.com


The High School Mathematics program in grade 9 and 10 is guided by the American Education Reaches Out (AERO) standards and is vertically aligned with the IB Mathematics syllabi. The grade 11 and 12 math offerings support the International Baccalaureate Mathematics program. The Mathematics program aims to create inspired life-long learners who are mathematically literate and statistically fluent, and who can demonstrate the critical thinking essential for informed citizenship in a data-rich world. Mathematics teachers celebrate the wonders of mathematics, seeking to inspire students with attention to the fascinating elements of Mathematical knowledge, instilling a positive attitude towards mathematics. Our math teachers and teaching promote perseverance and intellectual risk taking, while utilizing a variety of ‘best practices’ to reach all learners.
Program of Studies 2020-21


Please use this identifier to cite or link to this item:
|Title:||Beliefs and engagement structures: Behind the affective dimension of mathematical learning|
|Authors:||Goldin, Gerald A.|
Epstein, Yakov M.
Schorr, Roberta Y.
Warner, Lisa B.
|Citation:||Goldin, G.A., Epstein, Y.M., Schorr, R.Y. & Warner, L.B. (2011). Beliefs and engagement structures: Behind the affective dimension of mathematical learning. ZDM -- International Journal of Mathematics Education, 43, 547-560. doi: 10.1007/s11858-011-0348-z|
|Abstract:||Beliefs influencing students’ mathematical learning and problem solving are structured and intertwined with larger affective and cognitive structures. This theoretical article explores a psychological concept we term an engagement structure, with which beliefs are intertwined. Engagement structures are idealized, hypothetical constructs, analogous in many ways to cognitive structures. They describe complex ‘‘in the moment’’ affective and social interactions as students work on conceptually challenging mathematics. We present engagement structures in a self-contained way, paying special attention to their theoretical justification and relation to other constructs. We suggest how beliefs are characteristically woven into their fabric and influence their activation. The research is based on continuing studies of middle school students in inner-city classrooms in the USA.|
|Appears in Collections:||Education|
Files in This Item:
|Attachment 5.H.Goldin_Epstein_Schorr_Warner_23Oct2010_revised-4.pdf||preprint||480.32 kB||Adobe PDF|
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.


Death of the Universe?
Who will know it and who will care?
Will it happen? The math tells us maybe. That's the best of arithmetic results for the US physics primates, just maybe.
Read Obanion's, "Einstein's Mistakes". Obanion is a disciple of Wheeler who was a disciple of Einstein. Wheeler "discovered" these so-called "black holes". In Obanion's book Einstein's mistakes are presented, but the real clues are Obanion's and Wheeler's mathematical errors. One can also argue fatal flaws in their logic based on faulty mathematical predicates. These omniscient, omnipresent, and mathematically omnipotent reputed scientists conclude:
How our universe will end: 'The black holes will eat up everything else in the universe'
Can the End of the Universe Teach Us About Dying?
"Robbert Dijkgraaf is a theoretical physicist and Leon Levy Professor at the Institute for Advanced Study in Princeton. He is also the co-author of "The Usefulness of Useless Knowledge.".................
the stars will go out one by one because they will burn their fuel. And if all the stars are done burning their fuel, the only force that’s left is the force of gravity.
And it will slowly pull them in, and the black holes will eat up everything else in the universe, and this will be it. It’s a very desolate future for the universe. And I think that’s why many physicists were very hesitant to believe that this is actually the true future history of the universe. But it turns out, that the experiments are all pointing in that direction."
YIKES!!! Throw God out the window! Throw math out the window! Throw common sense out the window!
Make way for the Doomsday Physicist Prophesies.
So y'all, where will you place your bets? Shaktiman says that if these so-called experts would try some real math it would eat them up.
Now here is one reason without the math that the loonies at Princeton have no soul whatever a soul is.
It's Not a Wake, But a Wake Up.


SMT will run on Saturday, Solutions to math problems 2, Computing Indefinite Integrals — In this section we will compute some indefinite integrals. We also give the derivatives of each of the six hyperbolic functions and show the derivation of the formula for hyperbolic sine.
Linear Approximations — In this section we discuss using the derivative to compute a linear approximation to a function.
One-Sided Limits — Solutions to math problems this section we will introduce the concept of one-sided limits. A teacher has covered the entire AP Calculus AB or BC curriculum and feels good that he or she has addressed the entire gamut of problem types.
The numbers section has a percentages command for explaining the most common types of percentage problems and a section for dealing with scientific notation.
What topics may appear on the tests? You can also plot inequalities in two variables. In related rates problems we are give the rate of change of one quantity in a problem and asked to determine the rate of one or more quantities in the problem.
A team may consist of one to eight students. A large selection with solutions. We will also give a brief introduction to a precise definition of the limit and how to use it to evaluate limits Tangent Lines and Rates of Change — In this section we will introduce two problems that we will see time and again in this course: Solution to Problem 4: We will give an application of differentials in this section.
Mathematical Radical has a collection of Calculus I exams with solutions. The subjects offered are Algebra, Calculus, Discrete, and Geometry. Come check it all out! Solving Trig Equations — In this section we will discuss how to solve trig equations. We cover the standard derivatives formulas including the product rule, quotient rule and chain rule as well as derivatives of polynomials, roots, trig functions, inverse trig functions, hyperbolic functions, exponential functions and logarithm functions.
Derivatives of Exponential and Logarithm Functions — In this section we derive the formulas for the derivatives of the exponential and logarithm functions. Computing Indefinite Integrals — In this section we will compute some indefinite integrals.
The Definition of the Derivative — In this section we define the derivative, give various notations for the derivative and work a few problems illustrating how to use the definition of the derivative to actually compute the derivative of a function.
Also see Math old Partial Differential Equation exams. I will not give them out under any circumstances nor will I respond to any requests to do so.
MIT sample exams from a course taught by Prof. We will also see the Intermediate Value Theorem in this section and how it can be used to determine if functions have solutions in a given interval. We can use the lienar approximation to a function to approximate values of the function at certain points.
For years, we have helped students in different courses submit quality assignments that resulted in passing of exams. There are many equations that cannot be solved directly and with this method we can get approximations to the solutions to many of those equations.QuickMath allows students to get instant solutions to all kinds of math problems, from algebra and equation solving right through to calculus and matrices.
Classic Problems from the Dr.
Math archives. Age Word Problems Al's father is He is 15 years older than twice Al's age. How old is Al? Calculus Diagnostic and Placement Exams, with Solutions Tests to determine whether you are ready to take calculus, and at what level.
The Citadel has Practice Problems and Solutions for the Placement Test for Calculus I/Precalculus ; Iowa State Placement Exams for Algebra, Trig and Calculus.; Mt. San Antonio College Calculus Placement Examination.; NYU Sample placement exams with solutions. Solve problems involving arithmetic sequences and the sums of arithmetic sequences.
Several problems with detailed solutions are presented. The Stanford Math Tournament (SMT) is an annual student-run math competition for high school students held at Stanford University.
SMT aims to encourage interest in math by providing students from around the world an opportunity to work on fun and challenging problems and to meet other students interested in math. Free math lessons and math homework help from basic math to algebra, geometry and beyond.
Students, teachers, parents, and everyone can find solutions to their math problems instantly.Download


CASIO fx-9750GII BASIC GRAPHIC CALCULATOR. This calculator has been discontinued and replaced by the fx-9860GIII. The fx-9750GII is an basic graphic calculator, capable of plotting graphs and data charts, calculating probability distributions and matrix arithmetic Casio fx-9750GII Graphing Calculator. The fx-9750GII is ready-to-go right out of the package and comes packed with functionality: USB connectivity, abundant operating memory, and AP features come together to provide a powerful tool designed to support student success . 4.6 out of 5 stars 2,372 ratings | 8 answered questions 10 Days Replacement 90 Day Warranty 90 Day Warranty 90 day Currently unavailable. We don't know when or if this item will be back in stock. Colour: White.
fx-9750GII www.casioeducation.com Selecting the RUN-MATRIX icon will allow you to perform general computations and arithmetic. The l key executes operations. When data is entered, the l button must be pressed to store the data. The z key is used to obtain a fraction bar. To obtain a mixed number, press z after inputting the whole number emulator casio fx-9750gii free download. Mobile Open-Source Software and Tools Android, Symbian UIQ 3.0 and Symbian Series 60 Edition 5 open-source software, tools, libraries an Buy a cheap Casio link cable, download eActivities, programs and spreadsheets for Casio fx9860 and Classpad 300, subscribe to fxNews, or download a free game, program or logo for a Casio calculator such as the CFX9850 from Charlie Watson in Western Australia. Also FA-122, FA-123 software and FX7400, Algebra FX2 FX1 graphic calculator support
View and Download Casio Fx-9750GII user manual online. fx-Manager PLUS Subscription. fx-9750GII calculator pdf manual download. Also for: Graph75 plus e, Fx-9860gii, Graph35 plus e Casio fx-9750GII Graphing Calculator, Blue 4.7 out of 5 stars 4. CDN$62.72. ViewSonic XG2405 24 Inch 1080p 1ms 144Hz Frameless IPS Gaming Monitor with FreeSync Premium Eye Care Advanced Ergonomics Mode HDMI and DP for Esports 4.4 out of 5 stars 1,933. CDN$309.61. In. Important ! We recommend that you download the large PDF files that are available from this site and view them off-line. [ To view the contents of a file Let this Casio FX-9750GII Graphing Calculator helps you figure out those complex calculations. This battery-powered calculator features a sliding cover to protect the screen and is essential for high school and college math courses. It can perform over 200+ functions, has a multi-line display and comes with 64 MB of memory
.5 out of 5 stars 27. £11.99. Only 1 left in stock. A-Level Chemistry: Edexcel Year 1 & 2 Complete Revision & Practice with Online Edition (CGP A-Level Chemistry) CGP Books. 4.7 out. The Casio fx-9750GII Graphing Calculator supports students and educators from middle school to high school and into college. Its icon-based menu is easy to navigate and the soft-menus make it easy to access functionality for common tasks
The Casio FX-9750GII is a graphic calculator with an on-screen, icon-driven menu that provides easy access to advanced functions. It features a large, 21 character x 8 line display with dual screen capability and is battery powered. Its function keys are used to select from on-screen menus to keep the keyboard free from clutter The fx-9750GII is designed to support a deeper understanding of mathematics in the following coursework: Pre-Algebra, Algebra I, Algebra II, Geometry, Casio FX-9750GII Graphing Calculator View Product Details. Casio FX-9750GII Graphing Calculator View Product Details. Ways to get your order (See also : Casio fx 9750GII Vs TI 84 Plus) Casio fx-9860GII Casio fx-9860GII graphic calculator is intended for students of mathematics of post-GCSE and above. It has several modes of calculation basis for graphic images, create tables and solve the equation Integração utilizando a calculadora Casio Fx-9750 gII [Official CASIO Scientific & Graphing Calculator website] Product information, Approved for IB , SAT and ACT Exam / Ideal for learning math
View and Download Casio FX-9750G PLUS user's manual & technical reference online. FX-9750G PLUS calculator pdf manual download. Also for: Cfx-9850gc plus, Cfx-9850g plus, Cfx-9850gb plus, Cfx-9950gb plus Find many great new & used options and get the best deals for Casio Fx-9750GII USP Power Graphic Calculator with Hard Cover at the best online prices at eBay! Free shipping for many products
Find many great new & used options and get the best deals for Casio FX-9750GII Graphic Calculator at the best online prices at eBay! Free delivery for many products FX-9750GII - read user manual online or download in PDF format. Pages in total: 412


Annotation: A book that mixes mathematical facts with other information related to numbers. Each number between zero and 156 gets its own entry, with briefer mention of the numbers up to 1000. From legends to trademarks, from game rules to fashion, there?s a wealth of information having to do with numbers. Index and list for further reading included.
Beautifully and devotedly made, this large thin book for kids is a cheerful and eccentric guide to the first 156 integers, a concise summary of the next ones up to 1000, and notes in passing a very few landmarks on the long, long road past googol and googolplex to that infinity which is "countable but goes on forever."
The book is an instructive amusement for the clubs and classes and libraries of arithmetic students who are coming to know the subtle art of counting. The extraordinary Ramanujan once remarked that even a random choice, 1729, was interesting, as the smallest number expressible in more than one way as the sum of two cubes. Very few minds like his are met, but every young student ought for once have the chance to befriend some integer.


Mr. Wood received his bachelor's degree in Mathematics from Sonoma State University with a emphasis on Teaching Secondary Math in 2012. He graduated from Dominican University with a single subject teaching credential in 2013 and is in his 4th year of teaching.
Most of his teaching experience has happened here at Willits Charter School, with one year at Piner High in Santa Rosa. Mr. Wood’s entire teaching career has been during the era of Common Core Standards and she has fully embraced the concept of precision and mastery as requirements for passing grades.
He believes that all students can master mathematics and he embraces mistakes as learning experiences. He tries to instill in his students a love of learning of all types and works to improve their lives, current and future.


Normal addition, subtraction, multiplication and division can be done respectively, using the + - * / keys. Sum, averages, square roots percentage calculations can also be performed.
You may enter the figures and operator keys by clicking on them with the mouse on the screen or pressing the relevant keys on your the keyboard.
|Key on Screen||Shortcut Key||Function|
|1/X||Calculates the reciprocal of a displayed number.|
|Average||Calculates the average of the entries on the display.|
|Backspace||Clears a digit on the display.|
|CA||Clear all reset the display to 0 to perform another calculation.|
|sqrt||Calculates the square root of the entries on the display.|
Calculates the sum of the entries on the display.


How to teach fractions with pizza toppings
Perfect for first, second, or third-grade students this introductory fraction activity helps children visualize fractions by drawing pizza toppings.
Fast but effective, use this math activity to teach and reinforce the concept of fractions. No worksheets or printables required!
Start by asking your child to draw a pizza. You can use a plain piece of paper, brown paper/paper bag, a paper plate, or cut out a circle. Heck, you could even do this exercise with playdough. How elaborate you get is completely up to you!
Make Your Pizza
Select 4 or 5 toppings and ask your child to draw them on the pizza. We added pepperoni, green peppers, mushrooms, and chunks of sausage.
Once your pizza is full of toppings, ask your child to draw a legend. We illustrated our legend for each topping by vertically stacking each topping above the other.
For each topping, have your child count the quantity of that topping that he or she drew. Write the number of each topping as the top part of the fraction. This number is the numerator.
Now draw a horizontal line, the fractional line, and put the total quantity of toppings below the line. The bottom number is the denominator.
Explain to your child that the number of pepperonis is a fraction of the total number and quantity of toppings. Continue this process for each topping.
When you’re finished, make sure to add each of the numerators together to make sure their sum is the same number as the denominator. For instance, if your fraction’s bottom number is 28 then the total of all your toppings should also be 28.
During this exercise, our double-check showed us that we had miscounted the sausage. Instead of 8, there were 7 sausages on our pizza.
In our household, we really enjoyed this STEAM activity because it was a quick and effective visual exercise to reinforce the concept of fractions.
If you liked this activity, then we bet you’ll like our other Kids Activities.
Save for later on Pinterest
If you like this activity, please don’t forget to follow us, too!


Education Minister, Muhyiddin will fail his Form 3 Maths and Science if tests conducted in Mandarin or Tamil.
- Call to stop the abrupt change of medium of instruction from next year for Maths and Science in Malaysian schools
The pupils attending national primary schools have been learning their Mathematics and Science in English since Primary One after the then Prime Minister, Tun Dr Mahathir Mohamad decided in 2003 to have the students study these subjects in English. The Government spent RM5.0 billion for the exercise!
The BN Government has now decided that these students will have to study these subjects in the Malay language when they enter Form 1 (Secondary school) next year. This is just absurd and ridiculous.
If our Education Minister who is also our Deputy Prime Minister, Tan Sri Dato’ Haji Muhyiddin Bin Mohd Yassin cannot see how absurd and ridiculous the decision that was made, I challenge him to sit for a Form 3 test on these two subjects in Tamil or Mandarin. I am certain he will fail.
I call on the Government to allow these students to continue their Mathematics and Science in English which has been their medium of instruction since Primary One.
Dated this 23rd day of February 2011.
NGEH KOO HAM
Chairman of DAP Perak
MP for Beruas & State Assemblyman for Sitiawan


We all know the saying “money makes the world go round”; however, no one ever mentions the function that gives money its abilities. Math is the magic behind it all. Math doesn’t make a piece of paper worth $100.00, but it gives the holder of that $100.00 bill the ability to purchase a bag of groceries as oppose to just an apple. It also limits the holder of a $1.00 bill to only be able to purchase an apple as oppose to a bag of groceries.
Math is very important in a lot of industries, i.e. science, engineering, insurance, and many others. But all of us aren’t scientists, engineers or actuaries so I wouldn’t classify that level as “life math”. I’m referring to a level of math involved in an area of life that everyone is directly affected by (no exceptions), like personal finances, more specifically purchasing things. Side note, I’d also classify cooking as an area of life involving a level of math that falls into the “life math” category, but that’s not what this blog is about .
I know some of you are thinking “Oooh no, I hate math. I barely graduated because of that crap.” Don’t worry, I’m not going to throw a bunch of numbers and letters at you and ask you to figure it out. But I will ask that you keep an open mind, because unlike a lot of classes I took in school, this one has actually helped me out in life, and I want it to help you out too.
First life math lesson, there are two sides to math:
1. Performing the function
2. Understanding what the answer means to you (This is where the gold is buried! This is also what I will focus on.)
When you understand what the answer means to you, you understand the options (and, hopefully, opportunities) that are available to you. Then you can make moves with a little more confidence.
End of lesson. See, no numbers, no letters.


Helping students reach their full potential through acceleration, enrichment, and remediation.
“Thank you for all your help and encouragement to my daughter. You are a great math teacher with a real gift for teaching and reaching the student in terms that they can relate. My daughter has always liked math and enjoyed working ahead in higher math, and I didn’t want her spark and enthusiasm to be extinguished. You kept my daughter’s love for math alive, and I am grateful. I think that meeting via Skype has been really cool and convenient for everybody.” – AP Calculus Parent, 2013.
I currently provide private online tutoring sessions via Skype for students in any high school mathematics course. I am an experienced AP Calculus AB tutor, and I enjoy helping students prepare for the AP Exam in May each year.
- Calculus (AP AB)
- Algebra II
- Algebra I
$55/hr for individual private in person session
Note: Rates may change due to travel time/distance
Online Skype Rates
$40/hr for individual Skype Session
*Tutoring is often scheduled as private Skype sessions.*
All appointments are scheduled on an as-need basis unless weekly sessions are desired.
A 24 hour notice is preferred for cancellations.
Visit the Contact Page.
Inquiries should include the following:
- Age of Student
- Grade Level & Course Desired
- Student’s Strengths & Weaknesses
- Student’s Interests (Subjects, Hobbies, etc.)


The principle of the basic game is to align the columns of dice received as you go either vertically or diagonally to obtain a line of identical dice. Before starting the game, choose one of the 11 possible bets from €0.25 to €25. For each line generated, you get a number of points. You need at least 100 points to get a winning game. Try to get as many filled squares as possible, because 3 squares give a multiplier of 1.5x; 4 squares give: 2x. Having 5 gives 200 extra points. The Bonus function is obtained after aligning 3 olives. Then a cabinet with several shelves of bottles of different values appears. Per shelf, after they have been mixed, you need to find the bottle that earns the most points. After the first level, you will have to be careful with empty bottles because selecting one will stop the bonus game. The number of points is added to those of the basic game. It is from the shelves 4 and 5, that you benefit from the Mystery Games option. During the Mystery Game, you could get up to 100x the value of your basic game stake.


CIME summer school: ``Geometry of PDEs and related problems''
Cetraro, June 19-23, 2017
- Scientific Directors: Chiara Bianchini, (Univ. Firenze , Italy); Antoine Henrot, (Univ. Lorraine , France); Rolando Magnanini (Univ. Firenze, Italy).
- Lectures and Topics:
- Xavier Cabrè (Univ. Polit. Catalunya, Spain): New isoperimetric inequalities with densities arising in reaction-diffusion problems.
- Antoine Henrot ( Univ. Lorraine, France): Isoperimetric inequalities for eigenvalues of the Laplacian
- Daniel Peralta-Salas (ICMAT , Spain): Topological aspects of critical points and level sets in elliptic PDE.
- Wolfgang Reichel (Karlsruher Inst. Tech. Germany): Symmetry properties for solutions of higher-order elliptic boundary value problems
- Henrik Shahgholian (Royal Inst. Tech., Sweden): Free boundary problems of obstacle type
- Here you can find a draft of the lectures notes: X. Cabrè, A. Henrot, D. Peralta-Salas, W. Reichel, H. Shahgholian.
- Poster session: abstracts.
Some posters: D. Berti; M. Lasica; G. Piscitelli; G. Romani; A. Rossi; M. Sano; L. Trani.
- A picture all together!


As this ingenious post over at Math With Bad Drawings explained so clearly recently, there is a big difference between finding the answer to a math problem and being able to explain, beyond all reasonable doubt, why your answer is correct. It is the difference between solving it and proving it!
While mathematical proof is a huge part of math and science, it is unfortunately somewhat overlooked in the standard US curriculum. Partly for this reason, my family and I started a new math summer camp called Prove it! Math Academy. This year’s program will be a two-week crash course in proofs, using challenging problems and advanced mathematical concepts as examples.
Consider the following diagram which appears on our program website:
No explanation, no words, no proof. Just the picture. Enticing!
The first step in proving a fact is to state exactly what it is you are trying to prove. In this case, one might generalize/interpret this diagram as follows. Suppose you have a circle $O$ (the big white one) containing three circles $A$, $B$, and $C$ inside of it that are mutually externally tangent to each other and internally tangent to $O$. (These three circles $A$, $B$, and $C$ would be the large green, large yellow, and small red circle in the diagram above.) Now let $X$, $Y$, and $Z$ be the remaining green, yellow, and red circles respectively: for instance, $X$ is the circle tangent internally to $O$ and externally to $B$ and $C$. Then the lines $AX$, $BY$, and $CZ$ connecting the centers of these circles all meet at one point – they are concurrent.
You can construct this in Geogebra or Asymptote. You can vary the sizes of the circles and test that indeed, these lines always seem to be concurrent. But unlike in science, lots of evidence to support a fact is not good enough in mathematics. We want to prove beyond all reasonable doubt that this is always true, no matter what the sizes of the circles are. In other words, you can solve it, but can you prove it?
A very elegant solution to this problem, which appears on the next page of this post, is due to Michael Kural, one of my former students at MOP. He was intrigued by the image on our program flyer at a recent math tournament, and came up with a proof using only Desargues’ theorem, Monge’s theorem, homothety, and inversion. Read on!


Vedic Maths one-on-one and group lessons.
Vedic Mathematics is a collection of Techniques/Sutras to solve mathematical arithmetics in easy and faster way.
Using regular mathematical steps, solving problems sometimes are complex and time consuming. But using Vedic Mathematic’s General Techniques (applicable to all sets of given data) and Specific Techniques (applicable to specific sets of given data), numerical calculations can be done very fast.
Contact classes are also available in Thiruvananthapuram, Kerala. Please contact for more timing and locations.


Instruments and equipment
Weighing bottle: φ60mm x 30mm, Constant temperature oven.
Weigh about 0.8g liquid humic acid sample, accurate to 0.0002g, put into weighing bottle, shake carefully.Put the weighing bottle into constant temperature oven, gradually heat to 120 ℃, at (120 ± 2 ℃) dry for 20 minutes.Then remove and put into a desiccator to cool to room temperature and weigh again.
Using the weight percentage X to express the solids conten:
ml – the weight of the weighing bottle;
m2 – the weight of the sample and weighing bottles after drying;
m – the weight of the sample.
Take the arithmetic mean of parallel determination results as the test results,the absolute difference of two parallel determination results is less than 0.30%.


Download Statistics Laminate Reference Chart Book in PDF files, ePub and Kindle Format or read online anytime anywhere directly from your device. Fast download and no annoying ads. You can see the PDF demo, size of the PDF, page numbers, and direct download Free PDF of Statistics Laminate Reference Chart using the download button.
Book Summary: Essential quick reference guide for material covered in a college-level introductory statistics course. Often one of the most challenging intro courses taken, the information as authored in its concise style and format can support anyone using statistics for reference to concepts and equations throughout their academic or professional career. In 6 laminated durable pages the answers you need are at your fingertips organized and authored by Deborah J. Rumsey, PhD, accomplished author, Statistics Education Specialist, Faculty Member, and Fellow of the American Statistical Association. Quality and care of authorship, editing and design, and that this guide will last your entire career makes it an incredible value that you need to add to your statistics toolbox. 6 page laminated guide includes: Important Terms Data Tables Graphs for Single Variable Pie Chart, Bar Graph, Histogram, Stem-Leaf Plot, Boxplot Descriptive Statistics for Single Variable Measures of Center Quartiles & Percentiles Five-Number Summary Measures of Variation Correlation & Regression Correlation Simple Linear Regression Simple Linear Regression Analysis Interpretation & Prediction Measuring Probability Random Variables Probability Distribution Normal Distribution 68-95-99.7 Rule Standard Normal Distribution The t-Distribution Binomial Distribution Sampling Distribution of the Sample Mean Sampling Distribution of the Sample Proportion Confidence Intervals Alpha Level Hypothesis Test
Book Summary: BarCharts' handy 3-panel guide can make even the most complicated probability equations a breeze. Definitions, hints and sample problems are contained within each page, along with full-color illustrations and graphs highlighting specific problems. The "probability" of attaining better grades with this excellent reference tool is very good!
Book Summary: Score higher in your business statistics course? Easy. Business statistics is a common course for business majors and MBA candidates. It examines common data sets and the proper way to use such information when conducting research and producing informational reports such as profit and loss statements, customer satisfaction surveys, and peer comparisons. Business Statistics For Dummies tracks to a typical business statistics course offered at the undergraduate and graduate levels and provides clear, practical explanations of business statistical ideas, techniques, formulas, and calculations, with lots of examples that shows you how these concepts apply to the world of global business and economics. Shows you how to use statistical data to get an informed and unbiased picture of the market Serves as an excellent supplement to classroom learning Helps you score your highest in your Business Statistics course If you're studying business at the university level or you're a professional looking for a desk reference on this complicated topic, Business Statistics For Dummies has you covered.
Book Summary: A companion to the William Shakespeare plays. English and drama students, even the Shakespeare buff, will appreciate the concise coverage of the man and the history of his times. 4-page laminated guide includes: • bio statistics • brief history of Shakespeare's life • notes about the spelling of his name • his greatness • theater of the time • the Globe Theater • his women • actresses in his company • sanitary conditions of the time • Raphael Holinshed • Richard Burbage • the plays, the verse & the length • historical accuracy of the plays • prevalence of "evil" • the poetry mystery • and much more...
Book Summary: "This easy-to-use pocket book contains a wealth of up-to-date, useful, practical and hard-to- find information. With 160 matt laminated, greaseproof pages you'll enjoy glare-free reading and durability. Includes: data sheets, formulae, reference tables and equivalent charts. New content in the 3rd edition includes; Reamer and Drill Bit Types, Taper Pins, T-slot sizing, Counterboring/Sinking, Extended Angles Conversions for Cutting Tapers, Keyways and Keyseats, Woodruff Keys, Retaining Rings, 0-Rings, Flange Sizing, Common Workshop Metals, Adhesives, GD&T, Graph and Design Paper included at the back of the book. Engineers Black Book contains a wealth of up-to-date, useful, information within over 160 matt laminated grease proof pages. It is ideal for engineers, trades people, apprentices, machine shops, tool rooms and technical colleges." -- publisher website.
Book Summary: This fantastic overview of statistics, measures of central tendency, graphing and more is great for middle and high school students. It will help boost math confidence and test scores. It includes information on: - data collection & analysis - graphing data - measures of central tendency - interpreting statistics - probability - and much more...


Recognizes Success Of Orange County Schools
The Council of the Great City For the best Maths Tutor In Ireland company, call Ace Solution Books. Schools (CGCS) has recognized Florida’s Orange County Schools for significant improvement in raising student test scores in math and reading. The CGCS is the only national organization dedicated to the advancement of large, urban public schools. It comprises 66 separate districts. Orange County Schools were one of only 9 big school districts to surpass state averages in math, and one of ten to do so in reading.


Here is a small collection of Number Mazes, Multiplication Mazes, and Skip Counting Mazes you can use in your homeschool or classroom setting. Be sure you are subscribed for updates as we’ll be adding new Math Mazes soon!
Number Mazes & Handwriting Pages
A collection of Number Mazes with handwriting practices for children to build key motor control skills.
Skip Counting Mazes & Cards
This is a fun set of Number Mazes that include skip counting practice. This set is perfect inside a page protector or laminate for reuse.
Multiplication Math Mazes
A small collection of Multiplication Mazes for children learning their upper times tables. Children must solve multiplication problems to solve the maze.


Learning Links School
The Intermediate program at Learning Links School serves students in the 3rd – 5th grade. They are given the ability to enhance their academic and social-emotional skills, while functioning in a daily routine similar to a middle school. It is designed to allow students the opportunity to experience different teachers for different subjects, as well as develop independence and responsibility. Every student continues to receive a high-quality education following the Florida State Standards and utilizing research based instructional material.
Our curriculum integrates Houghton Mifflin, Basic Math and Harcourt Math Series, Scott Foresman Science and Social Studies and Keyboarding Without Tears into daily instructional.


Print these beautiful 5 x 7 inch Number Recognition Cards, as is and hang them for playroom décor. Print multiple pages per sheet for cards to use in your home or school curriculum. Print two copies on thick card and play card games with them.
Sweet hand painted watercolour illustrations with clear and legible lowercase titles and number symbols on each card. Includes numbers 1-12 for one to one counting practice and number recognition.
You will receive one high-resolution, professionally designed 6 page .pdf file. Two cards per page. Each card is 5" x 7" with a round edged border to protect little fingers from sharp corners.
Ready to print!


Popular Casino Games YOU NEED TO Check Out
There are three basic groups of casino games: table games, video games machines, and random number generators. Poker, blackjack, roulette, baccarat, craps, along with other games are area of the gaming machine category. Table games include baccarat, seven-card stud, and keno. The random number generator (RNG) is the internal device that generates the numbers which are found in casino games.
The standard deviation, that is a mathematical term for the random variation of the outcome of a casino game, can be an important component in virtually any random number generators. Regular deviation estimates the amount of times the outcome of a casino activity occur. For instance, in a game of baccarat, the expected amount of winning rounds played is n(baccarat x 100). The typical deviation utilizes arithmetic mean of the results of the runs weighted by the number of losses to get the standard deviation estimate.
Some of the casino games that work with random amount generators are keno and slot machine games. A casino activity with a random outcome, where the outcome is unpredictable, is named a casino game. A few examples of non-stop casino games are Texas Holdem, Roulette, Blackjack, Sic Bo, Bacarrat, Slots, etc. Roulette is just about the most well-known non-stop game. Blackjack, baccarat, slots, bingo, and video poker are types of non-stop casino game titles.
A casino game’s house edge is the difference between your initial cost and the existing value of the house. In most games, the home edge is significantly less than one percent. A high house edge means you will find a greater than average winning tendency. A minimal house edge means less than average winning tendency. A positive or negative slope or price indicates whether the casino is providing an excellent service to its customers.
A proven way of reducing the house edge in slots would be to limit the casino’s random quantity generator. This is the source of the casino’s vulnerability to hackers. Another method of reducing the home edge in slots would be to provide bonus payments to competitors who win. This increases the frequency with which slot players win, in order that the casino will make more money from these slot games than it could with any other kind of casino game.
Most people view online casinos as not as much risky than their land-based counterparts because you can find no humans or individuals around to determine the chances of a slot machine winning or burning off. Some gamblers argue that by placing bets in an internet casino rather than traditional casino, there is absolutely no solution to know whether a machine’s odds of winning or losing are actually. That is partly why many countries own banned online gambling.
There are some advantages to playing slot games online, even though. Online casinos offer their competitors the chance to play a variety of casino gambling games for free. It gives a gambler a chance to know more about different casino games without putting money down. A new player can also practice his strategy by playing a variety of online slots without risk. The internet has proven to be a boon for most casino gamblers, giving them more ways to earn money.
Gambling, at its most basic level, is really a game of chance. However, if the home edge of any slot machine game game is higher than 10%, then the casino is providing a casino player an exceptional gaming experience. Players should comprehend the home edge of the slot machines, they are playing before they position their bets. Gambling shouldn’t be taken care of as a guaranteed profits stream; instead, it ought to be treated as an indulgent pastime and a terrific way to spend time.
Many casino gaming machines provide various odds of winning. The payout percentages will vary from machine to machine, meaning that a player can increase his chances of winning by using various payout percentages. Thus, poker players can continually choose machines with better likelihood of paying out the larger jackpots. People that have smaller jackpots can try to increase their chances of winning small payouts as well.
A casino house edge may be the difference between the original stake and the total amount the internet casino owes you after an initial win. When you make a blackjack wager, the modern casino pays you a portion of the winnings you acquired. The house edge may be the total amount the modern casino owes you after paying out the initial bet. The longer the game goes on, the larger the home edge will be.
Besides playing slots and videos poker, there are several other popular casino games that people enjoy playing. You should check out some of the slot machines and table games offered 카지노 사이트 추천 by online casinos to see those people seem to love the best. While there are no guarantees that you’ll have luck with anybody of them, you need to give some of these slots a try. Even if it doesn’t work out, you may find yourself enjoying some of the other slot games and cards offered at an online gambling establishment.


The Class Has Voted!
The class rules are as follows:
Thank you to the students who have presented their Brown Bag Autobiographies. They have been very informative.
"Read With Me" - Club as outlined on Program night will be sent home next week. In this home reading program students should read for 20 minutes each night.
Word Wall Words for this week are: into, off, people, said, they (Dictation will be Friday).
In Math students are beginning a unit on Patterning, specifically patterns on a hundred chart. Skip counting by 2's, 5's, 10's and review of odd and even numbers is encouraged.
Upcoming this week:
Continuation of Brown Bag autobiography presentations.


After exploring and investigating numerous math sites, we played a few rounds of 4-player game. I like the notion of adding some friendly competition in the classroom. Not only do students get to apply their knowledge, they must do so effectively in order to win. I think that incorporating a few activities like this every once in a while would be a nice treat for students.
I like that the author explained the difference between practice and drill. If students have not had sufficient time to learn and do not understand the concepts, drill basically becomes ineffective for the student. I can just picture a little student that does not completely understand subtraction being bombarded with flashcards... not the best idea. It will be my duty as a math teacher to ensure proper instruction and sufficient practice activities so that drill activities will be a breeze for my students!
Having students identify and come up with strategies as well as elaborate on other classmates' strategies is a great concept. The class becomes involved with the strategies and students understand the strategies because they are able to explain them to other students.
The activities included in this chapter were insightful for me because they reminded me of the types of activities that I completed back in the day. Although 7+8 requires next to no thought for me, it is important to remember that young math learners still need to develop the speed and ease needed to solve the question. I particularly like the strategy of near double facts and the use of the ten frame in developing number sense relationships. The ten frame provides a visual for the students and with practice, they will be able to see the ten frame in their head and complete drill activities promptly.
It was neat reading about the division strategies because the author questions whether students are practicing multiplication or division when completing a page of division facts. When I think about it, I rarely use division because I tend to solve the problem from the multiplication perspective. Interesting.
All in all, the usefulness of mastering basic mental math extends far beyond the classroom. Students can practice mental math in every day situations without even knowing it! I certainly do.


Giving equations and asking questions
Teaching Guidance for 14-16
Working backwards can promote thinking
Starting out at different points in a conventional presentation, then working backwards and forwards from those, can result in illuminating discussions.
You could select an equation, such as: 30 kilogram metre inverse second = velocity × 50 kilogram, and get students to write down a question to which this could be the beginnings of a solution. Group work, where students assess the reasonableness of each other's claims, leads to lively discussions.
Selecting suitable equations can lead to a much deeper understanding of the significance of such relationships than is engendered by the
choose equation –
plug in numbers –
give answer route. At least it provides some variety.
Hand out any equation and then ask students to write a question to which the equation is an answer.


Everything ingenious is simple and has already been invented before us!
This statement is also true for the ingenious Pascal Machine AI project. Its creators adapted the works of the famous French mathematician Blaise Pascal to modern tasks and used the gigantic computing power of modern computers. As a result, they received a tool that allows them to make mathematical predictions with greater probability. By directing these capacities to forecasting the movement of stock index quotations, the project can make forecasts with high probability, which allows making a large number of successful transactions, exceeding the number of unsuccessful ones. And in the end – to generate profit for their investors.
Let’s take a closer look at how it all works.
What Does it Have to Do with Blaise Pascal?
Blaise Pascal was a French religious philosopher, writer, mathematician and physicist.
Chance Math & Arithmetic Machine
Pascal, already at the age of 19, began to develop his own calculating machine. His invention is considered one of the prototypes of the calculator. Pascal’s father was a tax collector, so at the age of 19, the future scientist saw how various counting operations were carried out. Already during this period, he created the first drawings of Pascaline. In total, the final development of the device took 5 years.
In theory, Pascal’s mechanism was quite simple to use, but due to the poor development of the technical side, the implementation of the scientist’s plan became a troublesome task, for which many difficulties had to be overcome. Blaise wanted his machine to simplify the performance of any complex calculations for both the educated person and the one who knew little about arithmetic. Over the course of 10 years, the researcher created more than 50 calculating machines, but he was able to sell only a small fraction of his inventions.
What Is Blaise Pascal’s Calculating Machine?
Pascaline is a small box in which there are many cogwheels (gears) interconnected. Each wheel was marked from zero to nine. In order to perform the addition operation, it was necessary to dial the summed numbers using the required number of revolutions of the gears. The wheels moved until the right number appeared. With a full turn of the remaining balance (more than 9), the gear shifted to another digit, moving the adjacent wheel by one division.
The use of wheel revolutions for the addition process was not an innovation in the scientific activity of Pascal, since this idea was voiced back in 1623 by Wilhelm Schickard. Indeed, the invention of Blaise is considered to be the transfer of the remainder to the next discharge with the full rotation of the gear. In the first “pascalines” there were five gear wheels, and with further modernization of the technology in the mechanism, their number reached eight pieces, which made it possible to work with large numbers (up to 9999999). This mechanism was actively used in various technical devices until the 20th century. Its advantage was the ability to automatically add multi-digit numbers by the device itself.
Researchers of the history of the emergence of counting mechanisms believe that Pascal created his adding machine practically from scratch, since he was not familiar with Schikkard’s project. The device surprised modern Pascal science, but due to the high cost and complexity of operation, it could not find its audience. Nevertheless, the invention of Pascal made a huge contribution to the history of the development of computer technology.
At a certain stage in his life, Pascal met a rich man, the cavalier de Mere. Cavalier de Mere, a big fan of gambling, suggested to Pascal in 1654 to solve some problems that arise under certain gaming conditions.
De Mere’s first problem, about the number of throws of two dice after which the probability of winning exceeds the probability of losing, was solved by himself, Pascal, Fermat, and Roberval. In the course of solving the second, much more difficult problem, in Pascal’s correspondence with Fermat, the foundations of the theory of probability were laid. Scientists, solving the problem of the distribution of bets between players with an interrupted series of games, used each of their analytical methods for calculating probabilities and came to the same result.
Pascal wrote “Treatise on Arithmetical Triangle” (published in 1665), in which he investigated the properties of “Pascal’s triangle” and considered its use in counting the number of combinations without resorting to algebraic formulas.
And so, based on all these early works of Pascal, the developers of Pascal Machine AI created their own project, which is already working in modern realities.
Why has nothing like this been invented before?
Pascal carried out his calculations on the triangle by hand, in long evenings. Modern computers allow you to perform 10 to 12 operations per second. Only by reaching such a huge computing power, the algorithms created by Pascal three centuries ago, can begin to work and give a concrete result for complex processes.
The Market for the Application of Pascal’s Developments
The stock market is just an excellent example of a complex system, where hundreds of different factors influence the final result: the goals of large investors and capital holders, local economic events in different countries, political events, weather events, and dozens of other equally significant factors. This is an excellent ground for applying forecasting algorithms. Taking into account hundreds of factors and processing terabytes of information, Pascal Machine AI makes forecasts and specific recommendations based on them, which are used for real trade transactions that bring real dividends.
Currently, Pascal Machine AI is trading in the stock markets with stocks of proven high-growth startups from Canada, Australia and other countries, generating significant passive income through buying and selling transactions.
How Pascal Machine AI Works
We will not go into complex algorithms for calculating the Pascal triangle (they are publicly available and you can study them yourself), we will try to explain succinctly: Pascal Machine AI receives huge amounts of information about the current state of the market, then this data is sorted and decomposed into thematic clusters. And then the algorithms created by Pascal are applied to these prepared clusters. After processing, the system has a huge list of factors with an assessment of significance and probability of occurrence. These probabilities are balanced and the final decision is generated, which serves as a trading signal to make a deal or hold on certain securities.
Earning Opportunities for Private Investors
At the moment, Pascal Machine AI is already available to work with private investors, which allows you to participate in profitable transactions involving small amounts.
Pascal Machine AI Prospects
In our opinion, the current dynamics of the development of the AI market will eventually lead to the creation of a number of competitors to the Pascal Machine AI project. Due to the fact that these projects will work in the same market, a decrease in the average return per investor is possible. But so far, we do not see working analogues, which allows Pascal Machine AI to scale and develop.


"Add it up and the math goes like this. Jefferies analyst Brian Pitz outlined the returns.Google's Motorola purchase: Was it worth it? | ZDNet
'At $12.5B, Motorola is Google’s largest acquisition to date. Google paid $40 / share in cash, but received ~$11 / share in cash and $8 / share in deferred tax assets. Thus the value ascribed to operations + patents was about $21 / share, or $6.3B, reflecting a multiple of ~0.5x sales and 12x EBITDA. Now adjusting this further for the $2.35B total consideration Google is expected to receive for the Motorola Home business, we get a purchase price of just under $4B for Motorola's handset business and patent portfolio (17K patents and 7.5K patent applications). This compares very favorably to recent patent deals such as Apple, Microsoft, RIM, Sony, Ericsson, and EMC paying $4.5B for 6K patents (July ’11) and Microsoft paying $1B for 800+ AOL patents (April ’12). Based on a sum of the parts, one could conclude Google acquired either the handset or its patents for a very minimal cost.'"
Friday, January 04, 2013
Google's Motorola purchase: Was it worth it? | ZDNet
More MOTO math


Access comes loaded with mathematical functions for all kinds of things, and it's easy to determine the sum, average, maximum or minimum of a field in a table, using either a query or some VBA. But what about some more complicated functions? What if you want to, for example, know the median value of a field in a table? For those of you whose maths is a bit rusty, the median is the value below which 50% of the data falls - the physical midpoint in a range, if you will. Access does provide a MEDIAN() worksheet function but this only works on a series of numbers rather than table data. It's still useful for illustrating exactly what a median is though - check out these examples:
MEDIAN(1, 2, 3, 4, 5) equals 3 MEDIAN(1, 2, 3, 4, 5, 6) equals 3.5, the average of 3 and 4
So anyway, you want to work out the median of a table field. The following function takes two parameters, the name of the table and the name of the field, both as strings. Note that if you have spaces in either name (naughty you) you'll need to enclose them in square brackets before you pass them to the function. Anyway, the function just returns the median value.
Function fctnMedian(strTable As String, strField As String) As Variant Dim dbs As DAO.Database, rst As DAO.Recordset 'You must add a reference to the DAO Object Library too Dim booEven as Boolean Set dbs = DBEngine(0)(0) Set rst = dbs.OpenRecordset("SELECT * FROM " & strTable & " ORDER BY " & strField) If rst.EOF = False Then rst.MoveLast booEven = (rst.RecordCount Mod 2 = 0) 'Is there an even number of records in the recordset? rst.PercentPosition = 50 'Rounds down if there is an even number of records... fctnMedian = rst.Fields(strField) If booEven Then rst.MoveNext fctnMedian = (fctnMedian + rst.Fields(strField)) / 2 'Takes average of this & the next value up End If End If rst.Close Set rst = Nothing Set dbs = Nothing End Function


|Prodigy Math Game|
Today we talk about prodigy math game it is one of the best math game available online that you can to learn math
The game is design really well it is created for the parents childrens teacher and even for the admin who wants to improve their math.
Kids in mathematics can achieve great success with the games it is really fun for the kids to learn Math with the prodigy math game and the game shows really great number of success.
Motive of the game is to increase the knowledge of math in the students by just giving them the prodigy math game and visual games and the sounds.
The one think I know about the prodigy math game is that it is really effective we have used the prodigy math game in many schools and give the really good results prodigy math game really WORKS. the Grades of student get almost double than the before.
It is seen that the students are getting really great progress in math after playing the game it is really good for the child.
Even if you are a teacher and you won’t teach your students in math class is there anyway you can use the prodigy math game for teaching them and even for your own math
prodigy math game is design in a way that teacher can teach the students by giving them the game and parent can use this game to teach their child’s.
Podigy Math Game Login
For Using this app you only have to create a free account it is really easy to create account simply visit the prodigy math game game website
Then click on the create new account and you will get the four options such as student teacher parent and admin.
After completing the first then you can create a account by just adding your first and last name and your password
You can also use your Google account to create a account without any anything adding into it.


(A note to new readers: Don't read the old stuff. It's bad. Start in, I dunno, August 2006.)
Like Pythagoras, I have discovered a new Geometric Principle. I'm not sure what the mathematics are yet, but I will get to the bottom of it!
It dawned on me while walking today. How is it possible, I mused, for two tiny ladies, idly chatting and sauntering, to block off literally the entirety of a three-meter-wide hallway?
The answer must be a new, heretofore unknown principle of spatial interaction.
I must know.