But that's just the polynomial remainder theorem , which involves polynomial division, horners method just reformats a polynomial into a nest of linear terms. In that section it says "Using Horner's method, divide out ( x − z...
I know what synthetic division is and what its point is, its an algorithm that allows you to do polynomial division in a more compact way, by not having to write the variable and its powers. Its how it relates to Horner's method, the reformatting a polynomial into a recursive nest of linier...
So I was trying to understand Horner's method. I understand that you can take a polynomial and factor out the x's and re write it as multiple linear functions recursively plugged into each other and that this makes evaluating a polynomial easier because you just evaluate a linear function...
I think I get it, although the Newton Raphson method may not be able to be written as a continued fraction what Im thinking of nesting in general, since in the place of x_0 you can plug in the formula with x0-1 and repeat. You cant solve (x^2)-5=0 as a continued fraction tho, i tried (x*x)=5 ...
I overlooked your original post because my knowledge of sequences and series is poor. Am I going to have to put my investigation of continued fractions on hold till I learn that?
But from the looks of it, it can be done. I stopped the fraction at 5 iterations and computed it and got a very...
I know how to turn the mixed number into the continued fraction. I am talking about going the other way. This is the only way I can see a continued fraction be useful for computing something. Lets say you don't know the value is ##\frac{157}{68}## and that is what you are trying to find. Some...
It makes a bit more sense to me now as just a weird way of representing a mixed number,
I can imagine it being useful in calculating numbers if you can get the whole numbers in the denominator nest you can write out the repeated fraction and simplify it to get the number.
But, how then do you...
That sounds vaguely similar to a certain method for computing logs,
https://www.quora.com/How-can-we-calculate-the-logarithms-by-hand-without-using-any-calculator
The first reply.
But I do not understand your response. What context would you compute that certain number? Trying to find a...
They are mysterious to me, they do not make any intuitive sense. What is the context for them? I found this website. http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/cfINTRO.html
It tries to show the history of how they were discovered geometrically. So you start off with a...
Regarding the scaling, shouldn't it be log[(100010000)(.00000001)]+log[(100020001)(.00000000)] ? How does he scale down?
I expected that the values would decrease every step on the table, instead they decreased about every other step, the differenced between the first 2 values was .0043, the...
I suspected it might have something to do with precision since the over all trend was still decreasing, just not how I expect it, I just couldn't figure out how to get so many significant figures? Did you search for some high precision calculator online? What about without calculators, if you...
I was watching this video about how they invented log tables and some things I do not understand.
At 5:12 he changes the scaling from 1's to 10's I don't understand how this is allowed. The number represents the number of times the base was multiplied by itself. In the seconds before this...
Thank you, that answers that question. Now to wrap up the original question how does voltage propagate along a wire in AC and does it negatively effect the voltage drop? What did mfb mean by "voltage synchronization problem in a long wire?
So when you increase the voltage but also use a steeper step down transformer you can lower the current? I did not know transformers could do that, in that case that answers my question spot on. Thanks.
Back to the original topic, about the propagation of voltage through a long wire, someone...
So I had some time to think about it, but its just not making sense to me for some reason.
Here is how I see it
As electrons pass a resistor they loose potential, that is the voltage drop, this happening over time is the power the resistor drains
You cant control current directly, only...
Not sure it that's supposed to mock me or not but I did not know I was spelling it wrong,
But if some English professor or language expert published everything with, and required all papers submitted in class as well to have dialect misspelled it would be expected to raise questions among the...
that's interesting, I did not notice that. I can understand why / would be interpreted as everything to the right is denominator, it saves the need to type parentheses, but why this?
Well then if many people break the rules in a consistent way I suppose you can call that "using different rules"
I think that is how dielects work too.
Here is what confuses me about this, the load of the consumer or transformer to me exact, is another resistor in the circuit, you are minimizing the poser consumed by one resistence but maximising it for the other? How can that work? Im guessing it has something to do with the fact that you...
Why? When I use the analogy of magnetic fright cars to describe electrons pushing each other down the wire in case someone does does not know what I mean by electrons pushing each other down the wire. I now know electrons may not literally push each other down the wire but whats wrong with...
But that is what i am trying to understand. Why do physicists think it is not uniquely defined or ambiguous? If you plug it in to a ti84 it will 16 as the solution, programing has it clearly defined, / = (division symbol with 2 dots). When written as 1/2x why would anyone be unsure if that both...
Right, but PEMDAS/BEDMAS is a standardized set of rules for math. There are no different "countries" in math, there is just...math. I do agree that multiplication before addition is more intuitive, that's probably why PEMDAS is the way it is, but what is the reason for Physicists choosing...
In case you have not seen the equation that has gone viral recently https://www.popularmechanics.com/science/math/a28569610/viral-math-problem-2019-solved/
This lead me to this
Why are physicists allowed to break the rules? What reasoning does the Physics Review and Feynman have for making...
I understand my model is bad but I am not insisting on using it despite all reason. I'm not trying to use it as an alternative to the water in pipe analogy given to new students or a general model for electricy flow but adress in particualr how voltage travels. Like if you had a wire from here...