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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:
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.
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 ... ?
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!
I thought the degree of an ODE was the power that the highest derivative was raised to.
Yes, will fix.
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.
Just trying to think of everything. I meant that perhaps the length of the robot needs to be factored in, but it would be negligible compared to the course, and we could assume the front of the robot as the reference point for calculations anyway.
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.
I see
Bobbym is in, yay!
Default theme is now Air, and I upgraded 'SleekBlue' users to it.
Forum is currently not accepting new members or Guest posts as we got a lot of spam.
I will work on fixes to Search, Spam, etc as time goes by (days most likely).
Keep posting!
Hmm... is that a feature or a bug
Thank you, will look into it.
I am going to have a rest now as I have been working on this all day. Look forward to lots of things to tackle when I get back.
New version installed. Latex seems to work. Search does not work at the moment. Many things to check.
New version installed. Latex seems to work. Search does not work at the moment. Many things to check.
Yes, nearly ready. Just need to check a few more things.
I am getting some success in displaying the images (but not uploading etc). I will continue working on it.
The problem is that the code is so different between versions, this is what a file comparison looks like:
How many images are there in all?
Don't know exactly, they are in subfolders, with sub-subfolders of thumbnails, maybe 5000 give or take thousands.
We have all the uploaded images. They are neatly sorted into folders by post id. We may not be able to upload new ones but I feel we can come up with a way to preserve the old ones.
Lets say a post is missing the uploaded file xyz.gif, then find xyz.gif in the 99Mb zip file, drag and drop it into (say) imgur, which gives you a link. Put that link in place of the missing file.
There may be better ways, though.
Have zipped up the folder containing all images (99 Mb) and am downloading it now for safekeeping.