Postfix notation, also known as reverse Polish notation, is a syntax for mathematical expressions in which the mathematical operator is always placed after the operands. For instance, the addition of 1 and 2 would be written in postfix notation as "1 2 +". Computer scientists and software developers are interested in postfix notation because postfix expressions can be easily and efficiently evaluated with a simple stack machine.

Can you turn the following into a Turkish expression using çarpım for "*" and "toplam" for "+" with some "ile"s as necessary and maintining the same order as in the math expression?

1 2 * 3 4 * + 5 *

Hint:

It would start something like

1 2 * = 1 ile 2´nin çarpımı

or

1 2 * = 1´in 2 ile çarpımı

Could you mean something like

                   1 ile 2´nin çarpımıyla 3 ile 4´ün çarpımının toplamıyla 5´in çarpımı   ?

this notation sometimes may be useful in computer programming but makes the mathematics more confusing in real time.

in mathematic we always muptiply and divide before addition and subtraction. if you add before division, you may get wrong result. if you want that on purpose you have to use paranthesis.

correct:
25-12*6/3
= 25-12*2
= 25-24
= 1

definitely incorrect:

25-12*6/3
= 13*6/3
= 78/3
= 26

correct:

(25-12)*6/3
= 13*2
=26

Yes it´s correct.

I would say it this way though:

1 ile 2´nin çarpımı ile 3 ile 4´ün çarpımının toplamının 5 ile çarpımı

or

1´in 2 ile çarpımı ile 3´ün 4 ile çarpımının toplamının 5 ile çarpımı

You don´t have that problem with this notation. There is no need for parentheses.

The notation we use in math is called infix notation. We say "1+2" with infix notation and "1 2 +" with postfix one.

Wth infix notation you may get wrong results without prentheses but there is no problem with postfix one. That´s why it´s simple and easy to implement in a computer language. Computer firmwares (and microcomputers) are usually built by using those that are based on postfix notation such as forth lanhuage.

it´s rather simple 12*34*+5*

1*2 = 2

3*4 = 12

2+12 = 14

14*5 = 70

we were taught in school that infix was simpler but on the contrary it is more difficult to comprehend since we have to take into consideration operators priority and associativity.

((1*2)+(3*4))*5 is longer to analise than 12*34*+5*

postfix says it, signs after, prefix, signs before

imagine the time and energy waisted for a computer to use infix, we would be coding the applications for an eternity

here is a link to help understand  http://www.programmersheaven.com/2/Art_Expressions_p1

and if I were trying to write this in Turkish, well I guess I would still be trying to figure out how to say it

I´m with abla on the answer in Turkish

does this have something to do with math? :S its confusing me :o

Yes maybe.

My point is the Turkish order is very similar to postfix notation (the same order of operands and operators). So it´s a little bit easier for us to understand the postfix notation.