Archive for the 'Great Mathematics Tips' Category

Failing Algebra Is Not an Option

Saturday, May 29th, 2010

We can assert that Algebra is the core of maths. An in depth knowledge of algebra and its basics is required before you could work on more complex mathematical problems. If someone asks you to get the product of 223 and 112, you can easily do it manually or with a computer. 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 great deal because once you enter the inequality in the program, the graph will get drawn automatically within a fraction of second. These software can easily work out any kind of algebraic, arithmetical and radical expressions of any kind of complexity.

Finding Domain and Range of a Function

Now it is very easy to calculate the domain and range of functions like Y = X2, you can just tell that X and Y can take any real number from the X-Y plane but have you ever thought of defining the domain and range of log(tan 2x + sin 3x) = cosine(-4)(2x). But now you can solve such critical and complex problems with an algebra calculator without breaking sweat and you will also be getting all the steps as well

Coordinate Geometry

Now you can easily find the focus and directrix and whether parabola opens up or down by just feeding the equation into algebra software system. Addition, subtraction and multiplication of binomials are quite tedious, 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. Similarly, algebra calculators can save the trouble for you in calculating matrices of 33 or 44 order or its opposite matrices.

So now you need not 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.

Golf and Its Marvels

Sunday, November 15th, 2009

If you
haven’t heard about golf packages, you have landed in the right place. Unnecessary to mention that golf is one of the
well-nigh universally appealing sports that is adopted by players from all over the world.
Golf sees no race, ethnicity or nationality as a barrier Thus,
golf became increasingly popular from the recent past appealing many players from all over the world.

If you are in to golf, it is primary that you obtain a membership from the county. So that you could play golf as you
wish with rest of the members from the county golf club and perhaps socialize around as well.

All about Golf Packages

Golf packages work in a little bit distinct manner. The ‘golf package’ companies do offer you a
package, a typical leisure package which comprises of accommodation, food and beverages, a few rounds of golf, and some other entertainment. So let’s walk through a real deal to understand this concept better.

In Las Vegas, a golf package would be marked from $180 upwards for a two nights package that is based in an okay hotel. The offer is inclusive of food, which is an advantage. As per playing golf, you will be given two rounds of play for three days of stay that comes with a shared cart. Pre bookings and tee times are also enclosed in the package.

Things to Be Concrned Over

There are a few parameters of golf packages and the various combinations of those that determine the cost
of the package. Location is the key factor that matters to the cost tag
tied. A player is free to pick out locations from Nevada to Phuket in Thailand. Consequently, depending on the venue, the package rates will differ to keep up with the rates depending on whether it is local or international.

The
second determinant is the number of nights enclosed in the package. When the number of nights of the stay goes up, usually the round of golf
also grows as the player tend to play more rounds during the long stay. In this case cost goes up due to the number of nights at the hotel
(including food) and for the rounds of golf.

Normally the golf packages extended by such companies are customizable. The players can add and delete the choices they want in the package, so the package
suits their taste, budget, and schedule. Many of the companies who offer golf packages preserve an online portal for customizing golf packages online, so the players can benefit
from it. Once the players customize the package details and pay via online payment facilities, it is just a issue of being at the locale on
the scheduled date.

Are You Algebraically Challenged?

Thursday, July 16th, 2009

One of the most popular courses of study schools and colleges have for people learning maths is algebra. There are a lot of pupils who are doing algebra because they have difficulties being able to learn the subject field.

A lot of people are not even really sure what is involved in algebra but it is not horrifying as a lot of individuals think. Some of the primary pieces of algebra include finding least common multiple, factoring difference of cubes and reducing fractions.

When mathematics is leaned by students, especially at college level it is very significant for them to apply some planning and also some continuity in learning mathematical constructs from easy to hard ones. There are a lot of college mathematics courses of study at beginning level that are built-up around constructing a sound path for the route into advanced mathematics as they enable learning the fundamental skills that are required.

Who can Help?

There are various software packages that can be used to help you with algebra and these include programs such as algebra calculators. A tutor for algebra is also a surefire way to enhancing your algebra skills. The computer software packages are very good and will help you with all aspects of algebra including non-linear inequalities , graphing rational equations , simplifying fractions with same denominators and on master the basic and advanced topics of algebra.

If you are just starting out in the world of mathematics, it is a good idea to do one of the beginning level courses of study as they will instruct you the very fundamental principles and build on that so that you are able to get up to the more sophisticated level of mathematics. The introductory topics of algebra teach the pupils the correct approach through the use of a vast number of different lessons and methods so this is an ideal starting point for the beginner to algebra.

Why Virtual Tutors are Not Perfect?

The only trouble with maths courses of study is that they sometimes do not follow reasoning in a very logical order and this particularly is the case when you are a student at primary school. A lot of the students at school are really very ill-prepared for addressing algebra and they are not knowledgeable of the fundamental principles of this notable subdivision of mathematics.

Algebra Helps You Deal with Numbers

Wednesday, June 10th, 2009

Algebra is an essential concept in Mathematics, which deals with equations, inequalities, fractions and expressions. Being one of the main arms of mathematics, it forms an whole part of elementary education. Concepts in combinatorial mathematics, variables, polynomials and factorization are the main areas which algebra deals with. more advanced levels of algebra also deals with symbols and set theory where the computation of unknown values is made possible based on certain predetermined facts.

Algebra and its Link to Geometry

Geometry brings into play the complete use of algebra to graph a circle, a hyperbola, a parabola or even finding the focus of a hyperbola. Be it simple operations such as determining the midpoint of a line or finding the radius of a circle, to more complicated operations such as figuring out if a parabola opens up; algebra is most important for geometry.

Algebra – Solving Equations & Exponents

Algebra can solve any inequalities from linear or quadratic to radical or exponential. Using algebra as a weapon one can solve inequalities and even graph systems of complex equations and non-linear inequalities. Playing with exponents is no longer an problem when you start using algebra. Algebra works with the Laws of exponents by facilitating one to add, subtract, divide and multiply expressions with ease and assurance.

Simplify Fractions and Polynomials – Try Algebra Calculators

Whether you have problems in solving, comparing or converting fractions, algebra solvers can work their magic for you. The modern software that supports solving algebraic expressions are able to solve any math problem easily and in no time. even, complex matrix equations like inverse matrix and other matrix operations could be solved using algebraic calculators. Simplification of algebraic and arithmetic expressions along with factoring polynomials to determining the Least Common Multiple and Greatest Common Divisor is now a piece of cake with the latest algebra solvers.

Professional Help All the Way

Pupils can get professional help from tutors who will provide you with a step-by-step answer for your problems. Math tutors are at your disposition for those hard problems which can get you easily bugged. The math solver software applications that is widely available in today’s market provide countless options to suit a student’s every need. From calculators that cater to a specific type of algebra to ones that scan the entire scope of the subject, you will find a complete answer.

Roots of Algebra Hate

Wednesday, April 29th, 2009

Algebra as a Scientific Discipline

Algebra is considered a primary branch of mathematics which puts the light on how to manage all situations involving numbers and variables. Naturally and historically, there is so much to say about teaching and learning of Algebra as a generalized arithmetic which goes through systematic mathematical procedures such as induction, generalization and proof. So, the pupils get to enhance their mastery in algebra progressively, for example by getting the information from tutors or software systems, which provide bit by bit solutions. Software Systems designed for algebra learning provide all the available methods for resolving particular problems with a technological touch. Many pupils are not even aware of the full potential of algebra! They complain about its impracticality neglecting that Algebra, generally maths, teaches their mind how to think logically and correctly. The school is the most traditional way of learning algebra, from being a kid till becoming an adult pupils get their information from the teacher. With the advancement of applied science, new techniques have been disciplined to learn Algebra, such as using software packages which is a more handy way to learn Algebra. These computer software packages deliver information in a progressive approach in to student’s heads.

Algebra’s Covered Area

Same as any other subdivision of science, Algebra handles a lot of fields and includes many theories and concepts. Gcf, or Greatest Common Factor , is one such constructs. Gcf means to rewrite the polynomial as a product of simpler polynomials or of polynomials and monomials. Solving fractions is one of the important parts of algebra which essentially gives students the opportunity to apply it to the real world. non-linear function represents any function which is a solution of a quadratic polynomial. Among other essential factors of algebra , multiplying and dividing radicals is also one of the primary ones. A person can multiply and divide with radicals only if the index, or root, is the same. Other associated areas are Adding and Subtracting Radicals; a person can add or subtract radical terms only if both the index and the radicand are the same. Matrix operations, another main areas of algebra which has a wide applicability when it comes to the real world, includes operations such as adding, subtracting, multiplying and dividing. Among other primary areas are finding x-intercept of a line and y-intercept of a line – to get the x-intercept of a line, substitute zero for y in the equation and vice versa for finding y-intercept of a line.

Letter of Credit – How to Secure Your Payment, Beware of Potential Traps in L/C Payment

Friday, May 30th, 2008

Letter of credit (L/c) is a widely accepted and commonly used payment method in international trade. They are usually issued by larger banks and contain a promise to pay a seller beneficiary) upon receipt of goods by a buyer if certain conditions outlined in the letter have been met.

There are three general principles governing the use of letters of credit:

  1. The banks’ responsibility to deal in documents only;

  2. The rule of strict construction, which dictates that the terms and conditions of the letter of credit are to strictly adhered to; and

  3. The rule of independence, which mandates that the letter of credit is to be considered independent from the sales contract or any other agreement between the parties.

Put simply, the Issuing bank has two main roles:


  • To give a binding undertaking to the seller that if compliant documents are presented, the bank will pay the seller the amount due. This offers security to the seller
  • To examine the documents, and only pay if these comply with the terms and conditions set out in the letter of credit. This protects the buyer’s interests

Note that the letter of credit refers to documents representing the goods – not the goods themselves! Banks are not in the business of examining goods on behalf of their customers. Typically the documents requested will include a commercial invoice, a transport document such as a bill of lading or airway bill, an insurance document; but there are many others.

How secure is the L/c payment method ?
Although an L/c is considered one of the most secure means of payment, exporters should understand that they can never totally control the payment process. Documents which are required to be presented under an L/c are frequently prepared by other people, and may not meet the strict compliance standards required by the banking community for payment. Sometimes banks which have not properly ensured their own reimbursement by customer (the buyer), apply very narrowly L/c principles to deny payment. Such
denials have regularly been upheld by courts on grounds that the seller has not strictly complied with the terms of the L/c.

How to Secure your Payment ?
Like most other things in life -prudence, knowledge and certain precautions can greatly reduce your risk. Following are certain steps that an exporter can take to maximize his control of the L/c process

Knowledge is Power
The rules governing L/c are codified in a publication sponsored by the International Chamber of Commerce (“ICC”), known as the Uniform Customs and Practice for Documentary Credits. Professionals advising exporters should have a good nderstanding of the UCP 500. The rules in the UCP 500 are drafted by and for the banking community. One of the major purposes is to protect the banks from liability in L/c transactions. The banks are providing a service – the financing of the transaction – and they expect to be protected from getting involved in disputes between the parties as to the terms of the contract of sale. For this reason “the independence principle” is a very important concept in LC transactions. This means that the LC, and the documents required under the LC for payment, are completely independent from the underlying transaction between buyer and seller.

The bank is not concerned if the contract between buyer and seller is being performed according to its terms. The bank’s only concern is whether the documents presented by the seller conform to the documents required under the LC, and whether the
documents are presented within the required time periods. The bank employees who examine documents presented under the L/c are essentially clerks. Their job is not to make judgment calls, but simply to see if the documents presented by the seller/ beneficiary comply strictly with the documents required by the LC. It is therefore very important to understand the rules as a lack of knowledge may invite disaster.

Your choice of Issuing Bank
One way of securing some control on payment process is to choose a bank you know or familiar with. This implies that during negotiating seller should try to get the buyer to use a bank of the seller’s choice to issue the L/c. The seller should find out from his/her own bank, preferably a bank with a substantial international presence, what corresponding bank it uses in the country of the buyer. If the buyer can have the L/c issued by that correspondent bank, the process can proceed more expeditiously. At the very least, the seller should insist that the buyer use a bank that is well-known and highly regarded by the banking community. The seller’s own bank can provide information on the financial status and reputation of the foreign bank. Since a major purpose served by an L/c is
that the issuing bank assumes the risk of the buyer’s insolvency, if the bank itself is financially weak, the L/c may not serve its purpose.

When in doubt – Get Confirmation
If the seller is not comfortable with the bank of the buyer’s choice, the L/c should be confirmed by a prime world bank. When a prime bank confirms an L/c issued by a foreign bank, it takes upon itself the payment obligation. There is a charge for confirmation, which varies directly on perceived risk the prime bank believes it is taking in confirming the L/c. The question of who pays the prime bank’s confirmation charges is negotiable, but if not negotiated in advance the bank may charge the beneficiary.

Simple Documentation
The seller should ensure during negotiation that as few ocuments as possible are submitted to bank, that documents should have simple description and all documents called for by the L/c can in fact be produced. Seller should avoid dependence on unknown or unreliable parties (e. g. if bank documents include a certificate from the government of buyer’s country or a signature from someone under buyer’s control – complications may arise).

Accuracy of Wording
Accuracy of wording in respect of all documents to be submitted in bank is vital. For example, almost all L/c’s require production of a commercial invoice and a transport bill of lading. The invoice must state the description of goods in the same way as in L/c. If the goods are not described in exactly the same way, the seller may not be paid even though Bill
of Lading may have correct wording.

Be sure what you are doing
If seller realizes there is a mistake or a problem with the documents to be submitted in bank, the goods should not be shipped until the L/c is amended. The UCP 500 makes clear that no amendment can take place unless the issuing bank, the confirming bank, if any, and the seller, agree to it. Unless the seller has written confirmation from the bank that the amendment
to the L/c has been issued, and the confirming bank has accepted the amendment, he bears the risk of not being paid.

A stitch in time…
A prudent seller should not let buyer take possession of goods until he has been paid under the L/c. The reason is obvious – if there are discrepancies in the documents preventing payment of the L/c, a buyer in possession of the goods has much less incentive to waive discrepancies so the seller can be paid. If the seller is not paid by the bank, the buyer still has a contractual obligation to pay for goods, but the difficulty of collection can make the price drop substantially, even assuming the buyer is solvent and can pay something. Particularly when the goods have been shipped to a foreign country, the payment collection can be quite costly. The buyer, knowing this, may attempt to negotiate a lower price (that is if he pays at all).

To keep goods out of the buyer’s possession till payment is settled, the seller should have the bill of lading consigned to order of the bank. Since the bill of lading is a title document, a consignment to order of the bank gives the bank title to the goods until they have been paid for by the buyer. Assuming proper payment, the bank transfers title to the buyer, who can then take the bill of lading and collect the goods. If buyer does not pay, the bank has an obligation to hold the documents for the seller, or return them to the seller if instructed to do so by the seller. The buyer should not be able to get the goods without the title document.

Look Before you Leap…
The buyer may ask seller to have the bill of lading made out to order and blank endorsed, and to send one or more sets to the buyer within a few days of shipping the goods. This is like writing a blank check. It enables the buyer to pick up the goods, and thereby provides him with a disincentive to waive any discrepancies in documents the seller presents to the bank. Given the high failure rate of initial presentations of
documents under an L/c, a seller needs to know he will have the buyer’s cooperation in correcting discrepancies or in waiving them. The buyer’s cooperation will be more forthcoming if he cannot get possession of the goods until any problems with discrepancies have been resolved.

Know Your Deadline, for your sake…
Every L/c has three vital dates: the date by which goods must be shipped, the date by which documents must be presented, and the expiry date for the L/c. A seller should make sure that each of these dates can be met, and should allow a large margin for error. After the L/c has been issued, if the seller learns that the date for shipping goods cannot be met, he should not ship any goods until he obtains an amendment to the L/c permitting later shipment.

If an L/c which calls for transport documents does not contain a date by which documents must be presented, does this mean the seller can wait until the expiry date to present his documents? Not if he wants to be paid. Article 43 of the UCP 500 provides that if no time period after shipment is given in the Credit for presentation of documents, banks will not accept documents presented to them later than 21 days after shipment. An exporter
unfamiliar with the 21 day rule of the UCP 500 could easily miss this deadline.

The exporter should make sure that the expiry date of the L/c permits sufficient time to permit correction, if possible, of any mistakes in the documents. Under the UCP 500, once the documents are presented, the bank has a maximum of seven days to let the beneficiary know if there are any discrepancies. If discrepancies can be corrected, they must be corrected and the
documents resubmitted before the expiry date of the L/c. Thus the exporter should make sure that the expiry date allows enough time for errors to be rectified.

Finally – A Quick Checklist
Always make following checks with your L/c:

  • Did you receive the letter of credit directly from a bank? If your answer is “No” – do not proceed any further as the letter of credit has not been authenticated and may be fraudulent.

  • Is the letter of credit irrevocable? If your answer is “No”, do not proceed any further as a revocable letter of credit can be “revoked” by the buyer without your consent.

  • Has the latest shipment date passed? If your answer is yes, the letter of credit must be amended to extend the latest shipment date

  • Is the letter of credit : Confirmed by a U.S. or prime world bank ? Please see above for correct procedure

  • Is the amount on the credit correct?

  • Is the beneficiary’s name and address correct?

  • Is the buyer’s name and address correct?

  • Is the merchandise description correct and consistent with other documents ?

  • Do any of the documents in the credit need to be legalized?

  • Which documents are required in the Letter of Credit:


    • Commercial Invoice

    • Packing List

    • Insurance Certificate

    • Ocean Bill of Lading

    • Air Waybill

    • Other

Amit worked in blue-chip Indian and MNCs for 15 years in various capacities like Research and Information Analysis, Market Development, MIS, R&D Information Systems etc. before starting his e-commerce venture in 1997. He writes regularly for The Great Indian Bazaar (http://www.infobanc.com) You may find more articles by Amit at http://www.infobanc.com/articles/index.htm
Visit Amit’s Blog at http://ez-import-export.blogspot.com/