July 30, 2009
It is safe to say that algebra is the core of mathematics. If you really want to know about mathematics and its fundamentals then you should have a complete and in depth knowledge of algebra. Deriving the answer for the product of 223 and 112 is quite easy if you use a calculating machine. However, in a case where you need to work around the exponential of 223 and logarithm of 112, you will surely need an algebraic software application. Graphing a circle will be easy for this given formula X2 + Y2 = 4 but when it comes for an inequality like (X-2)2 + (Y-4)2 > 20 then it will be quite harder to plot the graph. In this situation algebra software package can help you a lot because once you enter the inequality in the program, the graph will get drawn automatically within no time. These kinds of packages can easily resolve any kind of algebraic, arithmetic and radical expressions of any level of difficulty.
Domain and Range of a Function
Although, finding the domain and range of a function such as Y = X2 can be easily found by considering the number range on the X-Y plane, defining the domain and range of a log(tan 2x + sin 3x) = cosine(-4)(2x) will be excessively difficult. But thanks to algebra calculators, you can now solve these complicated sums in no time while being able to understand every step of the way that it takes you to successfully work out the mathematical question.
Coordinate Geometry
It is now, easier than ever to find the vertex and directrix or whether a parabola opens up or down, using algebra software. Addition, subtraction and multiplication of polynomials are quite boring, since they involve lots of terms to manipulate. However, by leaving the job up to algebra calculators, you will be able to get results within a shorter period with 100% accuracy. Solving determinants and matrices of 3×3 or 4×4 order can become very hard since it involves lots of calculation; getting inverse of matrices even more so. However using algebra software will make this task much simpler.
So now you don’t need to start worrying when you see indices, rational numbers or exponential equations. Parabolas, hyperbolas or ellipses can all be easily graphed within computer algebra systems.
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June 2, 2009
What is Algebra?
It is an domain of mathematics that use alphabetic characters instead of numbers to derive results for a given situation. It is this generalization that often frightens many and quivers some. Algebra topics extend from working with inequalities to factoring binomials all the way to finding the y-intercept. In many cases, just as in any other maths associated class, students start off by adding, subtracting and simplifying algebraic expressions. later on, they would move on to more advanced stages of solving algebraic equations using the least common multiples and converting fractions in to decimals.
Exponents and Radicals and Graphing Oh My!
There are many higher level topics. First there are exponents. A power is the tiny number placed as superscript to a number or algebraic expression. An example is (x + y)3 where the 3 is the power and denotes the power to which that number is exponentiated. The above algebraic expression is read, x plus y to the third power. In working with powers you can add, subtract, multiple or divide them. You can work with fractional and negative exponents . If that isn’t enough to make your head spin, then you can move on to radicals. A radical, simply put, is the reversing of an power. Radical expressions are denoted by the symbolic representation “V” and when placed next to number 4, it is read as square root of 4, which is equal to 2. The contrary exponential equation is 2^2 which is read, 2 to the 2nd power, and equals 4. Moreover, powers can be added, subtracted, multiplied or divided by radicals. Radicals can be switched into exponents and powers back into radicals. If you find that powers and radicals don’t really brace your interest, you could move on to graphing. The best way to start with graphing is to draw lines and try to figure out if they are horizontal, vertical or neither. Does the line have an x-intercept or a y-intercept? Can you find the slope of the line? After you master graphing lines, a whole world of circles, parabolas and hyperbolas awaits you!
Help is Out There
If you are learning algebra and this all seems a little too much, don’t sweat. There are many resources out there that can help you master quadratic inequalities, quadratic formulas and polynomials . Look for math tutors or software programs that will walk you through step-by-step process on how to solve any problem. You can also use algebra calculators or algebra solvers. any of these instruments can help you become an algebra guru in very little time.
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April 19, 2009
Algebra as a Science
Algebra science is the subdivision of mathematics that is interested in the study of structure, relation, and quantity. Algebra addresses working with numbers, symbols, sets of elements and also matrices as in linear algebra. You can see algebra as one of the most distinguished branches of mathematics, if not the most fundamental. Algebra includes classes such as Linear algebra, Universal algebra and Algebraic geometry.
Need Help in Studying Algebra?
Many software applications have come to the market in hope of helping students to develop the ability at solving algebraic problems . Nearly all types of algebraic problems can be solved using these software applications because they support and aid to work around different types of equations, formulas and inequalities. If you’ve been struggling to solve quadric, simultaneous, exponential or radical and linear equations , you need not worry any further. These software applications most likely will contain an algebraic tutorial and a wizard too; Moreover, algebra calculators facilitate a lot of algebraic operations for students pursuing mathematics.
Algebra in a Wider Scope
many students forever wonder why we learn algebra; they can see no good reason behind it. Well, if we were to talk about algebra benefits, then it has both direct and indirect benefits, which I think, algebra students should be made aware of. The indirect benefit of studying algebra could be abstracted in working the brain in an unionized pattern. For the direct benefit, algebra has a lot of applications in different scientific disciplines and industries.
In reality, algebraic applications are used around us, all the time such as in financial markets etc, for instance in robotics research or rocket science. Also, in various science researches like physics, quantum mechanics, Informatics and even in the military; in this article we shall explore how algebraic knowledge is applied in to IT.
Algebra for IT
Relational algebra constructs were the ground for the relational database concept. Also, simple algebra was used in modeling of complex XML models and progressing XML database management systems. Moreover, we can pinpoint usage of algebra for ROM-based Procedural Language and ALF- Algebraic Logic Functioning programming language. Some other higher programming languages developed for the purpose of solving algebraic problems as AML-Algebraic Modeling Language, where this language describes the complicated problem, like complicated optimization problems, then calls certain external algorithms to solve the problem.
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June 2, 2008
Does your business pay too much for its credit card? Too many businesses just settle for a basic credit card from their local bank. Those businesses end up paying too much interest or high annual fees. For the money you already give the bank, doesn’t your business deserve better?
A smart business compares available credit card offers to find the card that best suits them. Just because you have a bank account just down the street, it doesn’t mean
you’re stuck choosing from their credit cards. Check what the other banks have to offer.
First you should decide what is important to your business. Do you just want the lowest interest or do you want the best rewards? Analyze your credit card use to see what
saves you the most money. Look at factors such as:
- monthly credit card spending totals
- average running balance
- payment habits
- where you spend the most
Those factors and more will determine which credit card type is right for your business:
Low Interest Business Credit Cards
If you keep a running balance on your credit card, a low interest rate should be top priority. Make sure that the card doesn’t have a high annual fee that offsets the
low interest rate. Also remember to check both the intro apr and the standard rate.
Cash Back Business Credit Cards
Get cash back on all your credit card purchases with a card offering this feature. Get a percentage discount everywhere you use these cards. Does your current business
credit card give you 5 - 10% back on all your business expenses?
Airline Miles Business Credit Cards
If you need to travel you should consider a credit card that offers travel rewards. You can earn free flights or other rewards. These cards offer rewards for either
a certain airline or for most major airlines.
Balance Transfer Business Credit Cards
Do you owe money on your business credit card? You can transfer that balance to another credit card that offers a special balance transfer interest rate. For their
introductory period you can get interest as low as 0%. After that period you could even transfer the balance to your old card.
A lot of the best business credit cards will offer a few of those features. Consider your priority of these features when comparing card offers. You don’t necessarily
need a card that has all of those features. Your business may only need a card that concentrates on one reward. Compare the best offers and then apply online for fastest
approval. If you are paying too much for your current credit card, you want to start saving today.
Rosanna Yee writes for www.SmallBusinessCreditCards.net. Compare credit cards from top issuers such as American Express, MasterCard, Visa, Advanta, Chase Manhattan and CitiBusiness. Apply for a Business Credit Card Online
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April 16, 2008
No matter what many credit counseling scam artists may try to tell you, no one can legally remove any information that is up-to-date and accurate from your credit report. They can’t do it, and you can’t do it yourself. However, you CAN request an investigation of anything you find in your credit file that you believe to be either incomplete or inaccurate. That is perfectly legal, and can be done at NO cost to you. In fact, anything that a credit repair company offers to do for you can be done yourself, generally free or for a nominal fee.
In fact, there’s a law that guarantees it. It’s called the Fair Credit Reporting Act (FCRA). Under provisions of the FCRA, you are entitled to receive a free credit report if a company denies your application for credit, employment, or insurance. You must ask for the report within sixty days of the refusal, and the company must tell you which credit reporting company they used, and provide you with their address and phone number. (The three nationwide companies most often used are Experian, TransUnion, and Equifax.)
The FCRA has made it mandatory for consumer credit reporting companies to correct information that’s incorrect or inaccurate. To correct inaccuracies, you must first contact the reporting company, in writing, telling them which information is incorrect or incomplete. In your correspondence, include copies of documents that will verify your claim. (Don’t send originals!) Clearly detail why each piece of disputed information is incorrect, and then ask that the inaccurate information be either corrected or removed from your file completely. It’s generally worthwhile to include a copy of the credit report itself, with each disputed item circled.
Once you’ve put your package together, send it to the company in question by certified mail, indicating “return receipt requested.” That will allow you to be certain that the company received your package. Also keep copies of everything for yourself, of course!
The FCRA makes it mandatory that the reporting company investigate each item you have disputed, often within thirty days, unless they consider your dispute to be unworthy of researching further. By law, they must also forward everything you have provided them on to whatever company or organization initially provided the disputed information in the first place. That provider must then review and investigate the situation and report back to the reporting company. If the provider has mistakenly provided inaccurate information, they must correct it with all three major reporting companies.
Once the investigation has been completed, the FCRA mandates that the reporting company must provide you with the results, in writing, and a free copy of the report if the investigation resulted in a change in your credit report information. You may also request that a copy of the amended credit report be sent to anyone who may have received the disputed report during the previous six months. If the report was given to potential employers, you have a right to request that a corrected report be sent to any employer who may have received the inaccurate report during the past two years.
Copyright © Jeanette J. Fisher
Jeanette Fisher teaches how to get out from under credit card debt, how to use credit to make money, and six ways to build strong credit to finance your first home and multiple investment properties. For free credit advice and free ebook “Credit Tips for Mortgage Financing,” see worryfreecredit.com
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