Math Is Fun Forum
You are not logged in.
- Topics: Active | Unanswered
#151 Re: This is Cool » New mathematic on english » 2012-12-09 15:47:13
So a simple question which will check the theory in practice:
On the OX axis we postpone the square party:
, on the OY axis the square area . What geometrical figure (what function from ) will be represented in the form of the line of the schedule of function?I to you now will say one secret. When you postpone argument
on the OX axes and for example function on the OY axis and you build the function schedule, you receive function . In Solid geometry you would receive a cube . But you build on the Planimetrics therefore you receive a rectangle . And schedule points - tops of this rectangle with a variable area and variables respectively the parties and the areas of sides. Here almost SA beginning.Each element of the area (Planimetrics) has analog in volume (Solid geometry)
For example:
abscissa axis
ordinate axis - the area of a side of a cube ;
the area - pyramid volume;
and etc.
#152 Re: This is Cool » New mathematic on english » 2012-12-09 13:54:59
All right if to you difficult about radius let's solve such practical problem. On the OX axis you postpone the square party, and on the OY axis its area. Question: what geometrical figure will be represented in the form of the function schedule?
#153 Re: This is Cool » New mathematic on english » 2012-12-09 13:48:23
How do you postpone a radius?
x=r
practical task. Let there will be not an OX axis and the OR axis. Or let there will be everything so to what you got used only x - is radius.
#154 Re: This is Cool » New mathematic on english » 2012-12-09 13:45:18
They do not make sense because I do not understand what they mean.
For example if you on the OX axis postpone radius length
, and on the OY axis the circle area , what geometrical figure will be represented in the form of the function graphic?#155 Re: This is Cool » New mathematic on english » 2012-12-09 13:43:51
For example if you on the OX axis postpone radius length
, and on the OY axis the circle area , what geometrical figure will be represented in the form of the function schedule? If Calculus doesn't solve this very simple geometrical problem that it not the scientific theory and children's game in puzzles.#156 Re: This is Cool » New mathematic on english » 2012-12-09 13:38:03
The problem with those two questions is that they do not make much sense. You should find better words to explain your thoughts.
How no it have? At school studying of Calculus begins with studying of these lines. If they are incorrectly interpreted, the theory which on them is under construction can't be true.
#157 Re: This is Cool » New mathematic on english » 2012-12-09 13:29:01
I probably should create the site and to remove a videoclip on YouTube where to tell to people as them make a fool at school of the mathematics teacher.
The joke.
#158 Re: This is Cool » New mathematic on english » 2012-12-09 13:07:50
Hi, bobbym.
I claim that
function represented in drawing in the form of the line on function graphics.
Ask the best mathematicians, I am right or I am mistaken.
Also set the task: What function from
is represented in drawing in the form of the line on y=x^2 function graphics?I am sure that any mathematician won't be able to answer this simple question. Because they yet don't know Structurual Analysis.
At the same time you will advertize the site and you will attract to it many new people.
#159 Re: This is Cool » New mathematic on english » 2012-12-09 12:31:17
I can't understand sense of that that you wrote. I showed animation on which on the right and at the left two independent variables are shown. And on the right - dependent. What I still should have made and I didn't make?
There are many formulas, but there are no what are necessary to us. Here they:
or:
I got it:
No!
It is
a formula of a general view. But you set conditions:
Now this formula looks so:
This record
has no relation to a formula
Probably it is related to other entry conditions. It doesn't make therefore further to read sense!
#160 Re: This is Cool » New mathematic on english » 2012-12-09 08:22:20
Well. Only don't prove to me that the derivative of the sum is equal to the sum of derivatives always. Keep in mind that only the algebraic sum means!
If
that
! or !But if
that
!If
and - independent variables:But if
#161 Re: This is Cool » New mathematic on english » 2012-12-09 08:11:49
#162 Re: This is Cool » New mathematic on english » 2012-12-09 07:46:27
#92
Well.
I will show one real mistake. But usually after such my subjects in Russia deleted at once. I will try here. We look the link:h ttp://en.wikipedia.org/wiki/Partial_derivative
We see a formula of a full derivative of volume of a cone on height:
We integrate this derivative and we receive... cylinder volume:
Here to you one real mistake!
#138
!!!!!!!!!!!!!!!!!!(look this)!!!!!!!BUT (!!!!!)
;
#163 Re: This is Cool » New mathematic on english » 2012-12-09 07:29:16
Calculus incorrectly considers lines on function graphics. It isn't necessary to give examples with lines on graphics. About the function schedule we will be able to communicate only after you will answer a question:
1. CALCULUS claims that the
function represented in drawing in the form of the line is the function schedule.You agree, behavior of the line of the schedule of the y=f(x) function it isn't behavior of the function y=f(x) , because other function p=f(x) is represented in the form of the line? !
Therefore all of you time cite as an example a geometrical formula which has no relation to the concepts Calculus while you won't write down it or:
or:
!#164 Re: This is Cool » New mathematic on english » 2012-12-09 07:18:06
Look post 140!
At the left and in the center cone volume as function of two variables is shown. On the right cone volume - function of one variable = function of two variables being function of the same argument: t!
#165 Re: This is Cool » New mathematic on english » 2012-12-09 07:14:19
You try to combine incompatible concepts. r and h can't be independent variables and change at the same time.
#166 Re: This is Cool » New mathematic on english » 2012-12-09 06:51:46
The main difference of Structural Analysis (SA) from Calculus (C) is that in the C main instrument of research of functions differentiation is, and integration is considered as the return process.
In SA the main tool on the contrary is integration, and differentiation is considered as the return process.
In C it is mistakenly considered to be differentiation as a way from simple to difficult
Because of that that integration is a transition from simpler to more difficult it allows to consider that that doesn't allow to consider C. For example:
h ttp://vladimir938.eto-ya.com/files/2012/12/yx.jpg
If initially it isn't known that two various functions
special case at y=x;
have identical dependence from that the derivative doesn't allow to come two ways to these to two functions, because the formula
for function
leads to the wrong answer.
But SA shows why these two various functions have identical dependence from :
.
#167 Re: This is Cool » New mathematic on english » 2012-12-09 06:27:40
What do you mean under the word "base"? If r and h vary, that
For example
But then
What than R?!#168 Re: This is Cool » New mathematic on english » 2012-12-08 13:12:13
Hi, Bobbym!
Insert, please, this link:
h ttp://vladimir938.eto-ya.com/files/2012/12/a0d1352a18ccea9c4069e7971a6777eb.gif
#169 Re: This is Cool » New mathematic on english » 2012-12-07 14:11:32
[comment removed by administrator]
Look this (that is emphasized with red and black lines):
h ttp://vladimir938.eto-ya.com/files/2012/12/eng.jpg
h ttp://vladimir938.eto-ya.com/files/2012/12/rus.jpg
[comment removed by administrator] Or one changes, or another. Otherwise they become dependent from each other. They will have the general argument - time. But cone volume - function of two independent variables.
BUT (!!!!!)
#170 Re: This is Cool » New mathematic on english » 2012-12-07 08:42:16
The partial derivative of the expression for volume of a cone is
and when you integrate it you get what you should-the volume of a cone.What you saw in that article is the total derivative of the volume of a cone. That is a different thing and its integral isn't the volume of a cone, and it shouldn't be, because you aren't differentiating the volume only with respect to h in the first place.
You claim, what the formula
isn't right?Also give please the answer to the first question:
1. CALCULUS claims that the
function represented in drawing in the form of the line is the function schedule.You agree, behavior of the line of the schedule of the y=f(x) function it isn't behavior of the function y=f(x) , because other function p=f(x) is represented in the form of the line? !
#171 Re: This is Cool » New mathematic on english » 2012-12-07 08:08:34
Everything stirs it to business. So, I ask two questions:
1. CALCULUS claims that the
function represented in drawing in the form of the line is the function schedule.You agree, behavior of the line of the schedule of the y=f(x) function it isn't behavior of the function y=f(x) , because other function p=f(x) is represented in the form of the line? !
2. On link:
h ttp://en.wikipedia.org/wiki/Partial_derivative
it is claimed that calculations by the rules Calculus, received a derivative of volume of a cone. Actually it is a derivative of volume of the cylinder.
You agree that the theory of Calculus contains mistakes which can lead to mistakes at real calculations? !
#172 Re: This is Cool » New mathematic on english » 2012-12-07 07:33:56
I never offend nobody by the first. I correct the messages because my brain thinks figuratively, but texts contain consecutive offers therefore it is difficult to lay the thoughts in the text from the first.
#173 Re: This is Cool » New mathematic on english » 2012-12-07 07:27:23
bobbym thanks!
You and so too long suffered me. Usually silly persons ask the moderator to close a subject quicker. I understand as you heavy to listen to it.
#174 Re: This is Cool » New mathematic on english » 2012-12-07 07:23:44
I this knew. So was at all forums in Russia. Me allow to offend to any. But when I in reply prove that these insults concern rather to that who them writes than to me my posts delete. And when I prove obviously that I am right, delete my subjects. So will be and here. I already see it.
