Let's get some math symbols down

[Vagrant]

Since we use a keyboard... let's get math symbols down.. if you have anything to add... ill try and update this post

x, a, b, c, or any other letters (x is usually default) = variables

x^x = a number to a certain power

x*x = multiplication

x/x = division

Or for multiplication and division

(numlock on) Alt + 0215 = y × y

" " Alt + 0247 = x ÷ x

You guys know the adding and subtraction

xv- x OR (to make things easier) x~x = square root (sorry, can't figure out anything better)

|x| = absolute value (those are not l's they're | l [comparison])

(x[x]) = Obviously parentheses and brackets

x>x, x<x = x is greater than x, and vice versa

x! = x factorial, if x was 3, then it would be : 3*2*1

(x|y) for evaluated integrals, and (x$y) for integration, where x is the lower bound and y is the upper bound

Integrals
_________
aSb(x)dx
to
(x^2/2)a|b
and earlier, about the inverse trig functions
arcsin(1)=pi/2
arccos(1)=0
instead of
sin^-1(1)=pi/2

plz add to this!

[Hypersolidsnake]

Nicely done, Vagrant. I think this place needed to know the basics.

[theryman]

what about absolute value? l-4l= 4

[Hypersolidsnake]

Absolute value? I don't know that, and you're younger than me! Well, you're also American, so you probably have different cirriculums

[Vagrant]

Absolute value turns everything in it to positive... its simple really

[Hypersolidsnake]

...Isn't that the opposite number?

[Vagrant]

No, everything become Positive (Not negative)

[The First]

the square root symbol isn't going to work. in your example (xv- x), it looks like the variable x subtracted from the variable x times the variable v.

We could just use negative exponentials, but I don't think everyone would understand...
I can't think of a good to do it, unfortunately..

[Hypersolidsnake]

Ah, I see, so is it an operation?

[Vagrant]

yes... I debated the /-, but it loks like a division symbolish thing

i think v works because it isnt used as a variable too often..

[Llaedris]

Hmm. Square Root? Maybe you could use the ` sign to denote that? How about we add some formulas to this!

Intercept Slope:
y=mx+b (m is the slope of the line)

[Vagrant]

I'm not putting formulas.... I' mtalking about how to get around the keyboard problems...

[theryman]

Absolute value is how far a number is from 0. im in 8th grade (though that means nothin to you, cause ur grades are named other things) I also go to a private school and have one of the best teachers in the state. I learned it last year...

[Liokae]

Here's the easy way to do square root on the keyboard: Avoid the radical. The square root of x would be:

x^(1/2)

The square root of x + 4, then would be
(x + 4)^(1/2)

EDIT: Also note, if we get into calculus, any variable with d in front of it is the represents the change in that varaible. dx is change in x, not the variable d times the variable x.

EDIT: yes... I debated the /-, but it loks like a division symbolish thing

i think v works because it isnt used as a variable too often..

V is an extremely common variable in applied mathematics: Velocity.

[DeRailer]

I also go to a private school and have one of the best teachers in the state.

lucky you

[Leperkawn]

0.o

I actually remember doing that stuff!

Math taught me something!!

[theryman]

yes, except we wear uniforms and shes mean

DeRail, the song in ur sig is called headstrong, not trapt, and it "F@#$off, We'll take you on"

[Hypersolidsnake]

Absolute value is how far a number is from 0. im in 8th grade (though that means nothin to you, cause ur grades are named other things) I also go to a private school and have one of the best teachers in the state. I learned it last year...

Actually, we have the same grade system...

[Leperkawn]

So do I.

[DeRailer]

DeRail, the song in ur sig is called headstrong, not trapt, and it "F@#$off, We'll take you on"

the band who sings it is trapt

[The First]

Here's the easy way to do square root on the keyboard: Avoid the radical. The square root of x would be:

x^(1/2)

The square root of x + 4, then would be
(x + 4)^(1/2)


Sorry, that's what I meant, not negative exponents... Been a while since school... anyway, like I did say, that is confusing to quite a lot of people. We just need a simple square root symbol...
Ubfortunately, there isn't one thats both easy to use and is universally understandable...

[Liokae]

Here's the easy way to do square root on the keyboard: Avoid the radical. The square root of x would be:

x^(1/2)

The square root of x + 4, then would be
(x + 4)^(1/2)


Sorry, that's what I meant, not negative exponents... Been a while since school... anyway, like I did say, that is confusing to quite a lot of people. We just need a simple square root symbol...
Ubfortunately, there isn't one thats both easy to use and is universally understandable...

In any math class that has to deal seriously with roots, fractional exponents should be well understood. I mean, fractional exponents are what's USED to solve radicals and roots most of the time.

[Hypersolidsnake]

Just say sqrt! that's what the MSCalc says.

[Liokae]

Not every radical is a square root, though. There's also cube roots, fourth roots, fifth roots, tenth roots... with fractional exponents, you've got it all covered.

[Hypersolidsnake]

Ack! I'm gonig to have to stay away from Liokae on this Homework Forum... I haven't learned what you're talking about yet... :lol:

[DeRailer]

i didnt understand anything he said

[Liokae]

You know that a square root gives you something that, if you squared it, would equal what's under the radical. The cube root does the same, only you have to cube the answer to get what's under the radical; fourth root, you have to raise it to the fourth power... etc.

IE: The square root of 4 is two. The cube root of 8 is also two. The fourth root of 16 is, again, two.

[DeRailer]

ooooohhhhh

i get it

i think

[Liokae]

As for fractional exponents... square root is something to the 1/2, cube root is to the 1/3, fourth root is to the 1/4, etc.

[Diamond187]

also, integrals (most of you won't know what these are) should look like S(x)dx from a to b, where S is the integral sign followed by () to denote the function being integrated, x is the function, dx is, well, dx and a and b are the limits if the integral is definite.
Also, for the inverse trig functions use arc--- instead of ---^-1 because everyone is going to be really confused by the negative exponent

[Vagrant]

Just give a short example, and I'll put it up. ;-)

[Diamond187]

Oh, before any trigonometry comes up, who wants to work in radians and who wants to work in degrees?

Actually, I'll just put that up as a poll to see what people know.

[The First]

Here's the easy way to do square root on the keyboard: Avoid the radical. The square root of x would be:

x^(1/2)

The square root of x + 4, then would be
(x + 4)^(1/2)


Sorry, that's what I meant, not negative exponents... Been a while since school... anyway, like I did say, that is confusing to quite a lot of people. We just need a simple square root symbol...
Ubfortunately, there isn't one thats both easy to use and is universally understandable...

In any math class that has to deal seriously with roots, fractional exponents should be well understood. I mean, fractional exponents are what's USED to solve radicals and roots most of the time.

I totally agree, but this forum isn't just for those classes. Not only those kinds of classes use square roots, and therefore we will need something that is easily understood. I think the sqrt idea is the best so far.

[theryman]

in the front page, you said x<x and x>x, which is impossible. lets assign x a numder. 3, how bout. 3<3 3>3 it doesnt add up. x>y x<y would be better.

[FrenziedEye]

hehe getting all factual there...just like my maths teacher... juss a little suggestion..try to avoid getting too complicating with the keys guys...

[cheesecake]

Well you have ! for factorals (i.e. 5!=1*2*3*4*5)

[Vagrant]

in the front page, you said x<x and x>x, which is impossible. lets assign x a numder. 3, how bout. 3<3 3>3 it doesnt add up. x>y x<y would be better.

Look man, I'm just making a small example to give the general idea of the symbols...

I think mose ppl know factorials... but I'll put it up.

[Liokae]

Figuring out what to do for the integral symbol is going to be a bugger, though. Can't use |, because that's already used for "evaluate"... hmm. How about (x|y) for evaluated integrals, and (x$y) for integration, where x is the lower bound and y is the upper bound?

For example, the integral of x^2 from 3 to 15 would be:

[(3$15)x^2]

Which would then be brought down to:

[(3|15)2x]

[Diamond187]

Didn't you see my post about integrals?

[Liokae]

Yes... and it was incomplete. S could be used instead of $, but otherwise what I just posted works far better (There's no need to type on "from blah to blah" at the end, and you forgot the Evaluate portion of the integral).

[Diamond187]

Hmm, I suppose, your form just looks funny to me, cuz I always put the limits after the equation once I've integrated.

[Liokae]

They're bounds, not limits, yknow. Proper form is still to put the lower bound at the base of the integration symbol, and upper bound at the top; same follow for the evaluate symbol.

[Vagrant]

guys... just give me a short example of something you want put up, and a small explanation, and I'll copy and paste it on.

[Diamond187]

Alright, for integrals, the way I would do it, would be
aSb(x)dx
to
(x^2/2)a|b
and earlier, about the inverse trig functions
arcsin(1)=pi/2
arccos(1)=0
instead of
sin^-1(1)=pi/2

[FrenziedEye]

i'm reely confused guys.... :shock:

[Liokae]

Alright, for integrals, the way I would do it, would be
aSb(x)dx
to
(x^2/2)a|b
and earlier, about the inverse trig functions
arcsin(1)=pi/2
arccos(1)=0
instead of
sin^-1(1)=pi/2

Especially since sin^-1(x) is csc(x), not arcsin(x). Inverse functions are not made by raising them to the -1; that's how you get *recipricols*.

[Diamond187]

look at your calculator and tell me what the inverse trig functions are denoted as...
csc, sec, and cot all exist because the original notation for the inverse function was sin^-1, so they had to invent new functions for the recipricals.

[Liokae]

Just because a calculater uses a certain notation for keys doesn't mean it's correct. In proper form, sin^-1(x) IS csc(x). It's listed as sin^-1 on calculater functions because, by and large, there's not enough space on a key to print out arcsin.

Or, in other words, calculater notation differs from standard notation. In standard notation, the inverse of tan is arctan, not tan^-1.

[Diamond187]

Yes, okay, the standard is now arcsin, but the original was sin^-1, otherwise csc wouldn't exist... blah, why am I still arguing this, it's a moot point, we'll just all agree to use arcsin, arccos, arctan and live happily ever after.
THE END

[Vagrant]

Ok, any more symbols to add on, or should I just keep bumping this so everyone will notice/remember?

[Diamond187]

Oh there are a million math symbols to add, but most of them would be useless to the majority of the site. IE. i is the sign for sqrt(-1) but unless somebody here is in a complex analysis course, that's pretty useless.

[Afterburner]

Did someone say "complex analysis course"? :D

[Diamond187]

Hehe, sometimes, you just scare me.

[Liokae]

Or in precal. You mess with "i" in precal, too.

[Vagrant]

Ooh, going through characters, I found a multiplication and division symbol.

(numlock on) Alt + 0215 = ×

" " Alt + 0247 = ÷