Yes! Those seem to be the steps I was performing implicitly in going directly from
$$x + 3 = 5$$
to
$$ x + 3 + 0 = 5$$
I think the prologue of the text will make a lot more sense with this information. Thanks for responding!
This is exactly my question! I think I need to get better at formulating exactly what I have a problem understanding. Your response makes sense. I was worried about overthinking this aspect.
I am 100% reading too much into this, but I am curious which of the properties provided by Spivak allow one to justify a specific argument. For reference/context, the properties are:
P1: If a, b, and c are any numbers, then
$$a +(b + c) = (a + b) +c$$
P2: If a is any number, then
$$a + 0 = 0 +...
My calc professor always used to use the symbol ##:=## when defining a quantity.
For example, say we want to evaluate the integral ## \int x \sqrt{1+x^2} dx ##. So we might say, "Let ##u:=1+x^2 ##" and then continue to easily evaluate the integral.
I haven't seen this anywhere else and I'm...
Reading my old copy (3rd edition) of H&R's Fundamentals of Physics and it states that no theory can predict the value of the proton:electron mass ratio to date, and that it's a "sure-fire" Nobel Prize problem. Has this been resolved yet? Can't find anything on the web.
Thanks in advance.
Anyone every hear of HonorSociety.org? I recently got an email saying I was accepted into the society via a nomination & my academic record. It's asking for info & I'd like to know it's legitimate before I fill it out.
Here's a link to their site: www.honorsociety.org