Write4U:
I just want to weigh in briefly to the whole differential equation debacle, to support DaveC.
You wrote this:
A differential equation is the rate of difference between two values.
Electrical current is produced by the differential equation between a positive and a negative pole.
And DaveC wrote this:
- A differential equation is the rate of difference between two values. (false)
- Electrical current is produced by the differential equation between a positive and a negative pole. (false)
- An AI depends on electrical differential equations which it can detect, monitor and measure (false)
Stick to the facts.
DaveC is correct and you are wrong, Write4U.
To try to support your statements, you referred to various sites that give definitions of the term "differential equation" and refer to applications of differential equations, reproducing quotes like these:
"Ordinary differential equations applications in real life are used to calculate the movement or flow of electricity, motion of an object to and fro like a pendulum, to explain thermodynamics concepts. Also, in medical terms, they are used to check the growth of diseases in graphical representation"
AND
"G is the exponential growth model. Newton's law of cooling, Newton's law of fall of an object, Circuit theory or Resistance and Inductor, RL circuit are also some of the applications of differential equations."
The first thing to note is that neither of these quotes tells us what differential equations
are. They only tell us what they are
used for.
DaveC's objections relate to your (Write4U's) statements about what differential equations are, and these two quotes you have reproduced are irrelevant to addressing that point.
So, let's go back to your original statements and unpack them. First one:
A differential equation is the rate of difference between two values.
That's wrong. Take two values, x and y. The "rate of difference" between those two might conceivably be something like (x-y)/t, maybe, where t is a time. That's going to be physically meaningless unless x and y are the same type of quantity, so let's assume they are the same type of quantity. We're talking differential equations here, so the term "rate of difference" isn't very helpful. Maybe you mean an actual "differential", like an infinitesimal dx, and maybe you mean a differential "rate of difference" like dx/dt. Is that a differential equation, then? No, we're still not there, because every equation has an equals sign in it, and so far there's no sign of any equals sign. That is, the description "rate of difference" doesn't describe an
equation of any kind, let alone a differential one.
So, your statement about what a "differential equation is" is just wrong.
Your second statement:
Electrical current is produced by the differential equation between a positive and a negative pole.
This is a potential category error, for starters. Electrical current is a flow of charged particles. No equation can create charged particles or make them flow, not even a differential equation. So it is just wrong to claim that "electrical current is produced by [a] differential equation..."
And what is a "positive pole" or a "negative pole"? Are you thinking about physical battery terminals or something like that? How can a differential equation "produce" anything physical between physical poles?
If we squint a lot and interpret your words, it might be possible to eventually arrive at a mathematical definition like i=dq/dt, which mathematically defines current as the rate of charge passing a point in unit time, but that's certainly a stretch from what you actually wrote.
---
You went on to complain to DaveC that:
Perhaps you have forgotten the basic definition of differential equation. So you just persist in slinging mud, without argument proving me wrong. You are not a moderator and your threats don't mean a thing to me.
OTOH, your manners in your role as just another poster are atrocious. You lack the the most basic civility for productive exchange.
Learn to discuss issues, instead of constantly going off topic with personal insults on every thread you post in. Your body of work is not very productive in content, in fact your attitude is quite distracting from almost every subject under discussion.
What DaveC pointed out to you is that
your grasp of the "basic definition of differential equation" is deficient, because you're apparently unable to produce a coherent definition of it without directly quoting some other source. When you try to do it yourself, you produce a sort of mangled shadow of a real definition, or else an erroneous one.
I hope this post has addressed your complaint that there was no "argument proving [you] wrong". It is true that DaveC did not provide the argument. His reason was that he is not obliged to teach you mathematics from the ground up. Nor am I, for that matter. His advice to you, which you would do well to heed, was to avoid trying to make authoritative pronouncements about things you don't understand properly. When you make basic mistakes, you end up looking a bit stupid. Worse, you risk misleading other people, who may know even less than you do, by posting information that is misleading at best or just wrong/false at worst.
You mentioned the matter of
ad hominem attacks. Notice that DaveC did not say you are an idiot, or that you're stupid for not knowing what a differential equation is.
That would be an
ad hominem attack. What he said, rather, was that some of your statements were wrong/false. That is, he is attacking the accuracy of the
content you posted, not your personal attributes.
If differential equations (or whatever) are important to you, you can learn what they actually are in many different places on the internet. You could even ask questions here, since there are obviously a number of people here who have some formal education in that subject and who know what they are talking about in that regard. What is silly is trying to set yourself up as an authority when you haven't done much more than read the first paragraph or two of the "differential equations" article on wikipedia, if that.
I hope this helps clarify things for you.