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| | | #redirect [[Using TeX Notation 3]] |
| ==Brackets==
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| As students advance through Maths, they come into contact with brackets. Algebraic notation depends heavily on brackets. The usual keyboard values of ( and ) are useful, for example:
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| <math>d = 2 \ \times \ (4 \ - \ j)</math>
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| This is written as:
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| $$ d = 2 \ \times \ (4 \ - \ j) $$
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| Usually, these brackets are enough for most formulae but they will not be in some circumstances. Consider this:
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| <math>4x^3 \ + \ (x \ + \ \frac{42}{1 + x^4})</math>
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| Is OK, but try it this way:
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| <math>4x^3 \ + \ \left(x \ + \ \frac{42}{1 + x^4}\right)</math>
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| This can be achieved by:
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| $$ 4x^3 \ + \ \left(x \ + \ \frac{42}{1 + x^4}\right) $$
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| A simple change using the \left( and \right) symbols instead. Note the actual bracket is both named and presented.
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| ==Ellipsis==
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| The Ellipsis is a simple code:
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| $$ x_1, \ x_2, \ \ldots, \ x_n $$
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| Written like:
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| \$\$ x_1, \ x_2, \ \ldots, \ x_n \ \$\$
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| A more practical application could be:
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| Question:
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| "Add together all the numbers from 1 $$ \ \ldots \ $$ 38.
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| What is an elegant and simple solution to this problem?
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| Can you create an algebraic function to explain this solution?
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| Will your solution work for all numbers?"
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| Answer:
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| The question uses an even number to demonstrate a mathematical process and generate an algebraic formula.
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