Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

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chooipian wrote:

Standard Form and Scientific Notation?

Thanks, will add.

bobbym wrote:

...what do they use for the other two? Boiled Or Denatured Makes Alcohol Sweeter? ...

Funny! But a good point, it would be nice to have one for BODMAS and BEDMAS.

**MathsIsFun**- Replies: 7

A new page: Math vs Maths ... and more

Good page? Any mistakes? Do you have your own thoughts on this?

And any more examples for the second half would be appreciated.

Hi Bob,

Thanks for that, I will look into how I might be able to repeat the tabs in this version.

I think imgur (or the like) is the best solution for image hosting at the moment.

**MathsIsFun**- Replies: 3

Every so often we get people asking lottery type questions, so I thought I would make a page to try to help them understand how chance works etc.

Here is my draft: The Lottery

I would value your feedback, any mistakes you may find, and any suggestions for inclusions.

Thanks bobby ... yes and yes: ±√(2x^2+c) − x is what I get now.

**MathsIsFun**- Replies: 4

And another in the Diff Eq series: Homogeneous Differential Equations

The main weakness in this page is no explanation of why they are "Homogeneous". I played with linking **f(zx,zy) = z^n f(x,y)** to **dy/dx=F(x/y)** form but failed. If anyone knows a user-friendly way of explaining why "Homogeneous" that would be nice.

Comments, suggestions and error checking welcome.

Les is going to make some questions (with worked answers) for the bottom of the page.

Makes sense to me, I will put ±, thanks.

Have made changes to the page Separation of Variables

Is it looking better now? Did I miss any of your points in the rewrite?

**MathsIsFun**- Replies: 4

Continuing on with the series on Differential Equations: Solution of First Order Linear Differential Equations

Credit also goes to Les Bill Gates, a very capable mathematics teacher, for these pages.

I have been experimenting with a new way of formatting dy/dx etc, so if you notice any formatting issues could you screen print and post them so I can see (but try Refresh first).

I would value any feedback, ideas for improvement, and error checking!

Yes please do!

**MathsIsFun**- Replies: 12

Just finished off this Diff Eq page: Separation of Variables

It would be really nice if everyone could check it for mistakes before I make it live on the website.

Comments and suggestions welcome too.

I have updated the definition to this:

I wrote:

Coefficient

A number used to multiply a variable.

Example: 6z means 6 times z, and "z" is a variable, so 6 is a coefficient.

Sometimes a letter stands in for the number.

Example: In ax² + bx + c, "x" is a variable, and "a" and "b" are coefficients.

Let me know if you feel it can be improved.

ShivamS wrote:

However, we can't say that c is a coefficient in ax^2 + bx + c, but we can say it is in ax^2 + bx + cx^0.

That makes sense.

What does everyone think about that?

OK, this is the new wording (so far), improvements welcome!

"The number (or other fixed value) part of a term, such as the 4 in 4y

A constant can also be though of as a coefficient. In ax² + bx + c, a, b and c are coefficients."

Yes, it seems there is not consensus.

I do feel that having a constant also be a coefficient is more elegant (like a square being a rectangle).

How about

"The number (or other fixed value) part of a term."

With an example.

Yes, we normally draw a distinction between coefficient and constant, but then a constant is also a coefficient. A bit like a square is a rectangle.

How about

A number (or other fixed value) used to multiply in algebra.

So, what is a good and easy to understand (for adults and children) definition of coefficient ... ?

**MathsIsFun**- Replies: 46

On the website I define a coefficient as "A number used to multiply a variable"

So, in

3 and 7 are coefficients and 2 is a constant. But is 2 also a coefficient?

How about in

Are a, b and c all coefficients?

(I want the simplest accurate definition.)

Got a good one have you?

Thanks Guys!

bobbym wrote:

I thought the degree of an ODE was the power that the highest derivative was raised to.

Yes, will fix.

**MathsIsFun**- Replies: 8

A new page: Differential Equations - Introduction

Could you please go over this with a fine-tooth comb and find any inaccuracies. In my attempt to simplify I may have gone too far.

Suggestions and comments also welcome.

Length of robot?

Hmm... the technicians would not likely fall into the "50 mph" trap, so we may assume their answer is technically correct.

So "stupid guy" must be including some other fact.