Graph paper, quad-ruled paper, graphing paper or millimeter paper is writing paper that is printed with fine lines making up a regular grid. The lines are often used as guides for plotting mathematical functions or experimental data and drawing diagrams. It is commonly found in mathematics and engineering education settings and in laboratory notebooks.
2009-02-27

How to Add Dynamically Generated Graphs and Charts to Web Pages and Applications  

not so long ago, a graph or chart to a web page or

application requires a lot of knowledge and programming

was quite time consuming, even for the experienced. However

with the tools available today it is possible, almost all

, to graphs and charts to Web pages. With only a little

HTML, dynamically generated graphs and charts can be added

Web pages and /or applications.

Why graphs and charts


This website is about providing information. Today's users

usually in a hurry and require that information is

them clearly and quickly. If your site has a message to

, which are currently classified as a table of numbers,

, then it is very likely that you use it,

graphic and charting functions. With a table of figures

Most people find it difficult to recognize immediately the significance, but

, if these figures as an image (eg a graphic), then

immediately almost all the point. What's more, the

your data graphically is colorful and adds a touch

of professionalism. People tend to have more confidence in

, if it is a pleasant, clear and

professional manner.

The simple way to make a graph


There are many graphics and charting packages on the market

, which is very fast and easy for you to

graphic images. The time savings in the use a

"out of the box" solution is so large that even the

experienced professionals are familiar with these packages. Furthermore

most graphics packages are very inexpensive.

Before you send a package there are a few things that

check. For example, you simply want to the graphic

image to your visitors or you want a degree of

interaction. for example, certain areas of the graphic clickable

or pop-up data will be displayed when the mouse is over certain

area. Another aspect is the source of the data. Is it

held in the database file or somewhere else. Ideally, you would

want a graphics package that is capable of retrieving the data

directly from the source itself

Which Graphing packages are available


At the time of writing, there are many graphics solutions on the

market the technology in the following categories: -

- Java Applet Graphing Solutions
This type of software, in addition to the standard-
graphical capabilities, including interactive features like clickable link area and
mouse - through pop-up displays.
These solutions can be on any Web server without
-server configuration or set-up.

- Java Servlet Graphing Solutions
These solutions are powerful server side functionality.
although probably not for the beginner they are very useful for
"Web Application Developer.

-
Flash Graphing Solutions The Flash environment provides some very sophisticated graphics capabilities,
, which leads to some of the best graphics
-solutions. Unfortunately, the technology is
can only work if the user flash installed
browser. Although an increasing number of
, there is still a very high percentage of browsers that can not view Flash content
.

-
PHP Graphing Solutions These are probably the easiest solutions to use and implement
. With these solutions, it is possible that a beginner
, to the graphical representation of functions to their Web site
and applications. But make no mistake they are also very powerful,
has very good graphical results.
Most Web servers can now use this software without additional configuration
.

-
ASP.NET Graphing Solutions These solutions offer some very good graphical results.
At the time of writing the number of Web servers in a position
is running these packages is far less than the other categories
.

create a graph


With the right software package to add a graphic to

Web page with little more than the following: --

1) Insert a small piece of HTML into your web page.
(usually the code is made available and all you have to do is "Copy and Paste")

2) Setting some values in a configuration file
(for example, setting things like color graphics and titles etc.)

3) Setting some values to say where the picture to the data from




This is fairly straight forward sometimes a problem can

will be met. A major advantage of using a good professional

-pack is that the help on hand. If you are in any phase

then simply ask for help from the software vendor, a good

always happy to help. Contrary to popular belief, good

software companies answer requests for technical assistance in both a

timely and helpful manner.

 

About the Author:
Patrick OBrien is the founder and creator of Jpowered.com, a site providing powerful software solutions to web designers and developers.
Authors Website:
http://www.jpowered.com

Learn More Links

PHP Graphing Solutions
http://www.jpowered.com/php-scripts/adv-graph-chart/index.htm

Java Applet and Servlet Graphing Solutions
http://www.jpowered.com/graph_chart_collection/index.htm



Article Source: http://EzineArticles.com/?expert=Patrick_O'Brien

2009-02-21

Learning Math With Manipulatives - Base Ten Blocks (Part III)  

In the first two parts, which, adding and subtracting numbers with base ten blocks were introduced. The use of base ten blocks gives students an effective tool that they touch and manipulate to solve mathematical questions. Not only is the base ten blocks of effective solution of mathematical problems, they teach students important steps and skills that are directly in the paper and pencil methods for solving mathematical questions. Students who first use on ten blocks to develop a stronger conceptual understanding of the importance, addition, subtraction, and other mathematical skills. Because of their advantages for the mathematical development of young people, educators have opted for other applications where the base ten blocks. In this article, a variety of other applications are explained.

Multiplying one and two numbers

A common way of teaching multiplication is to create a rectangle in which the two factors are the two dimensions of a rectangle. It is very simple with the help of graph paper. Imagine the issue, 7 x 6 Students of color or shade of a wide rectangle seven places and six squares long, then they are the number of seats in its rectangle to find the product of 7 x 6 With base ten blocks, the process is essentially the same except students are able to touch and manipulate real objects, which many teachers say, has a greater effect on the pupil's ability to understand the concept. In the example, 5 x 8, students create a rectangle 5 dice cubes wide by 8 long, and the number of cubes in the square to find the product.

Multiply two numbers is a bit complicated, but it can be learned fairly quickly. If both factors when multiplying two numbers, the housing, the rods, and the dice can all be used. In the case of two-digit multiplication, apartments and bars only Quicken the procedure, the multiplication could be achieved with just a cube. The procedure is the same as for single-digit multiplication - the student is a rectangle with the two factors as the dimensions of the rectangle. Once they have the rectangle, so the number of units in the square to find the product. Consider the multiplication, 54 x 25th The student must be a rectangle 54 large cubes by 25 cubes long. Since this may take a while, the students can create a shortcut. An apartment is only 100 cubes, and a rod 10 cube is simple, so that students build the rectangle filling in large areas with apartments and bars. In its most efficient form, the rectangle of 54 x 25 5 flats and four rods in width (the rods are vertical) and 2 apartments and five rods in length (with the horizontal bars). The rectangle is filled with apartments, bars and cubes. Throughout the square, there are 10 flats, 33 rods and 20 cubes. Using the values for each base-ten blocks, there are a total of (10 x 100) + (33 x 10) + (20 x 1) = 1350 cubes into the rectangle. Students can use any kind of base-ten blocks separately and add them on.

Department

Base ten blocks are so flexible, they can also be used to divide! There are three methods for the department, which I describe the grouping, distribution, and multiplied changed.

To share by giving the dividend (the number you are dividing) with base ten blocks. Assign the base blocks into ten groups, the size of the divisor. Count the number of groups to find the quotient. For example, 348 divided by 58 is represented by 3 apartments, 4 poles and 8 cubes. To 348 in groups of 58, the total trade of housing for rods and bars for some of the dice. The result is six stacks of 58, so that the ratio is six.

by distributing parts of the old "one for you and for me" trick. Distribute the dividend the same number of piles as a divisor. On one end, how many piles are. The students will probably get the analogy of the exchange very simple - which means we have each an equal number of base ten blocks. To illustrate, consider 192 divided by 8th 192 students are equipped with a flat, 9 bars and 2 dice. You can use the rods in eight groups of light, but the apartment is to trade for bars, rods and some dice, to the distribution. At the end, they should find that there are 24 units in each cluster, so that the quotient is 24th

to proliferate, students create a rectangle with the two factors as the length and width. In the department, the size of the rectangle and one of the factors is known. The students begin with the construction of a dimension of the rectangle with the divisor. They continue around the square until the desired dividend. The resulting length (the other dimension) is the quotient. If a student is asked to solve 1369 divided by 37, they begin by establishing three rods and seven cube to a dimension of the rectangle. Next, they set another 37, the continuation of the rectangle, and check whether they have the 1369 yet. Students who have experience with estimating might begin by setting three apartments and seven bars in a row (vertically arranged rods), because they know that the quotient is greater than ten. While the students, they may realize that they can replace groups of ten rods with a flat, in order to facilitate counting. Continue until the desired dividend is reached. In this example, students find the ratio is 37th

change the values of Base Ten Blocks

Until now, the value of the cube has a unit. For older students, there is no reason why the cube can not be one tenth, hundredth, or one million. If the value of the cube is new, the other on ten blocks of the course to follow. For example, the redefinition of the dice than a tenth of the rod is, the apartment is ten, and the block is hundred. This redefinition is useful for a decimal question as 54.2 + 27.6. A common basic ways to redefine ten blocks is a thousandth of the dice. This makes the rod a hundredth, one tenth the apartment, and the whole block. In addition to the traditional definition, this makes the most sense, since a block can be diced in 1000, it follows logically that a cube is one-thousandth of the cube.

represent and work with a large number

numbers not the 9999 is the maximum you can use a range of traditional base ten blocks. Fortunately, ten blocks come in a variety of colors. In mathematics, the "dozens, hundreds are period. Thousands, tens of thousands, hundreds of thousands, and a further period. The million, ten million and one hundred million are the third period. This is when all three values is used as a place period. They have found that any time now can be done by a different color of the place value blocks. If you do this, can the large blocks and just use the cubes, rods, and flats. Let us say that we have three of the ten basic blocks in yellow, green and blue. We call on the yellow base ten blocks of the first phase (which, in tens, hundreds), the green blocks of the second phase, and the blue blocks of the third period. To the number, 56784325, blue with 5 poles, 6 blue cubes, 7 green homes, 8 green rods, 4 green cubes, 3 apartments yellow, 2 yellow rods, and 5 yellow cubes. When adding and subtracting, trade will be facilitated by recognizing that 10 yellow flats can be traded for a green cube, 10 green homes can be traded for a blue cube, and vice versa.

integer

Base ten blocks can be used to enter numbers and subtract. To achieve this, two colors of the base ten blocks are necessary - one color for negative numbers and a color for positive numbers. The principle of zero indicates that an equal number of negatives and an equal number of positive to zero. To add to ten blocks, represent both numbers with base ten blocks, the zero principle and read the result. For example (-51) + (+42) can be represented with 5 red sticks, 1 diced red, 4 blue rods, and 2 blue cubes. Immediately, the students apply the zero principle, four red and four blue bars and a red and a blue cube. To stop the problem, they trade the remaining red-rod for 10 red cubes and the principle of zero on the remaining blue cube and a red cube. The result is (-9).

Subtracting means removed. For example, (-5) - (-2) is represented by the two red dice from a pile of five red cubes. If you can not take the "zero principle can be applied in the opposite direction. You can not die in six blue (-7) - (+6), because it is not six blue cubes. As a blue and a red cube cube is zero, and adding a zero-point do not change, only six blue and six red cubes cubes with the pile of seven red cubes. If six blue cubes are made of the bunch, 13 red dice come, so the answer to (-7) - (+6) is (-13). This procedure can of course also for larger numbers, and the process could also trade.

Other Applications

In no case have I explains all of the use of base ten blocks, but I have most of the major uses. The rest is up to your imagination. Can you imagine a use for the base ten blocks to teach computing powers of ten? How about ten base blocks for groups? So many mathematical skills can be learned with base ten blocks, just because they are our points system - the basis for the decimal system. Base ten blocks are just one of many excellent manipulative for teachers and parents that the pupils have a strong conceptual background in mathematics.

The base ten blocks capabilities described above can be used with worksheets from http://www.math-drills.com. The spreadsheets are compatible with answer key so students can feedback on their ability to correctly use basic ten blocks.

 

Peter Waycik is the creator of thousands of free math worksheets that can be found on his website, http://www.math-drills.com.

Article Source: http://EzineArticles.com/?expert=Peter_Waycik

2009-02-13

Interpreting an EKG  

ECGs can be doctors in the diagnosis and determination of current or past heart abnormalities and are often a regular screening for people with heart disease. With electrodes attached at various strategic body points, the EKG machine, the electrical impulses of the heart. The results of the pulses are displayed on a computer screen and then on graph paper. The attending physician or EKG technician interprets your heart health by reading the graphed EKG image.

ECGs are an important tool for doctors to diagnose and treat heart ailments. The EKG reading of the heart is compared to the reading of a standard /normal hearts, to build a picture of your heart function. Abnormalities in heart rate, heart rhythm or contractions and relaxations may signal the presence of past heart attack, heart disease or coronary artery disease. If any of these symptoms are present, your doctor will tell you for further tests.

There are literally dozens of different methods for the interpretation of ECGs, but most start with the search for recurring patterns. One of the first things ECG technician after the heart rate. Electrodes used to make the hearts in the procurement and then relax. The first peak in the reading (the? P? Peak) represents the momentum of the upper chamber of the heart. A flatter the line? PR? Interval represents a bridge between the contracting and relaxation of the atria. Each ECG has several other spikes and dips, the hearts electrical waves, each spike or DIP is covered by an alphabetical letter.

The majority of normal hearts have a pattern with a slightly different rhythm. This is called sinus arrhythmia and is considered normal and healthy. The absence of sinus arrhythmia may indicate other problems with the heart. In ECG-interpretation, the lack of sinus arrhythmia was seen to predict the occurrence of sudden death from heart attack or heart failure. The results of an ECG can be the basis for further treatment. Your doctor will decide whether further assessment is required. EKG technicians are highly trained and qualified medical professionals, many of these doctors to technicians of the first body in the interpretation of ECG results.

Note: Professional EKG readings require a large number of education and training. There are many ways to interpret these values, it is often difficult for non-medical people to understand the terminology. If you have an ECG performed, your technicians will be happy to answer questions in relation to the ECG reading. If you notice that something seems abnormal to you, the technicians, you can calm your fears and explain the results in layman's terms.

 

EKG Info provides comprehensive information on EKG readings, interpretation, m machines, technicians, abnormal EKGs and more. EKG Info is the sister site of Stethoscopes Web.

Article Source: http://EzineArticles.com/?expert=Damian_Sofsian

2009-02-08

Why Study Calculus? - Volumes of Irregular Shapes  

Sometimes it seems that learning mathematics is hardly worth the trouble. All these painful techniques and formulas, replete with the grotesque and heinous symbolism, would also be at the expense of the warm diving headfirst into this strange world. But if you have to understand that such functions actually obscure purpose, you begin to realize that very difficult to solve math problems with an economy that most miserly cheap kate proud. This is the case with calculus. Here we take a look at how this discipline, we can calculate the exact extent of some very bizarre forms.

If one of my first professors Math Broached the idea to me that we calculus to do such things, I really believed that he drinks too much wine. To my uninitiated mind, I believed that he is on trial for calculating such volumes, not the exact version. When I studied the calculus a year later and learned the method, I was quite surprised by the result. At this point I thought there was nothing that mathematics is not resolved.

In a way analogous to the whole of my article Why Calculus? - Areas of irregular shapes , the technique used to calculate the volumes of irregular shapes based on the simple formula for calculating the volume of the disk. The formula for the volume of a disk is pi * r * r * H, where pi is the famous mathematical constant, approximately equal to 3.14; and r and H are the radius and height, or thickness, or from the disk.

Let us show how this method would be applied to the volume of the irregular shape. Image of the right half of the parabola y = x ^ 2 on a plane with Cartesian coordinates (graph paper). If the reader is not familiar with the parable, make a curved line running from left to right, like the inside of a bowl. If we have the fixed number produced below, this will become clearer.

Since this graph is always on, let's us on the values for which both X and Y are between 0 and 2 If we now turn to this section of the parable about the x-axis, we will provide a solid form known as a solid of revolution in the nature-Calculus as a megaphone.

as we did with the rectangles in the calculation of the area of irregular shapes, we do it with hard drives to the extent that "megaphone". If we set the interval from 0 to 2 along the x-axis through the quarter, we can fit 8 slices of thickness 1 /4 on this interval to approximate the volume of this form. The height or radius of each plate would be determined by the date on which the individual radii of the parabola on. (The best way to remember this is by sending a picture.)

Today, we know the volume of a disk. This is very easy. By calculating the quantity of each of the 8 disks in front, we would have an approximation to the volume of propaganda, but we are not satisfied with an approximate value. We want accuracy. The problem with 8-disks is that some disks are fully integrated into the megaphone, and some are outside so that an incomplete band. To correct this problem, you guessed it, we divide the interval 0 to 2 in ever smaller subdivisions, so that more and more disks to within the megaphone. How we divide the interval is more finely, the thickness of each disk is smaller, and so we can fit more inside, thus the volume of the megaphone, with more precision.

So, if we are to 100 disks, we get a good idea of the volume, a 1000, even better, a million, great, but still not perfect. Now here is where the wonderful calculus is in. With the passing of the border, that is another way of saying an infinite number of mounting plates to a megaphone, we get the exact scope of this unusual form. What do you say? How can the volume of infinitely many disks?

Good question. And here is where the calculations will be a miracle in itself. By analyzing the nature of the problem that the installation of more and more disks in this interval, we can, a formula, with the calculus, the sum of these infinitely many disks in question, and makes the answer without doing the actual sum. Nonsense you say? No real sense, I say.

And how is what the study of calculus a pleasure to see a miracle to examine and sometimes to experience headaches. But where else can one such crazy things? If you really are interested, do more. Remember. Arithmetic is the gateway to the algebra, the gateway to this calculus, and the gateway to the ... Yes, the universe!

Here is a list of my eBooks here Order Ebooks

 

Joe is a prolific writer of self-help and educational material and an award-winning former teacher of both college and high school mathematics. Joe is the creator of the Wiz Kid series of math ebooks, Arithmetic Magic, the little classic on the ABC's of arithmetic, the original collection of poetry, Poems for the Mathematically Insecure, and the short but highly effective fraction troubleshooter Fractions for the Faint of Heart. The diverse genre of his writings (novel, short story, essay, script, and poetry)-particularly in regard to its educational flavor- continues to captivate readers and to earn him recognition.

Joe propagates his teaching philosophy through his articles and books and is dedicated to helping educate children living in impoverished countries. Toward this end, he donates a portion of the proceeds from the sale of every ebook. For more information go to http://www.mathbyjoe.com

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