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**21122012****Member**- Registered: 2012-11-16
- Posts: 278

anonimnystefy wrote:

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? !

*Last edited by 21122012 (2012-12-07 13:05:30)*

**"The conditions imposed on functions, become a source of difficulties which will manage to be avoided only by means of new researches about the principles of integral calculus"**

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,379

I have deleted repetitive posts. You do not have to post the exact same post just because it has not been answered immediately. Leave the post and wait for a response.

You are still posting to yourself multiple times, I have asked you not to do this especially when it is just a copy of an earlier post.

Please no more posts criticizing the forum.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**21122012****Member**- Registered: 2012-11-16
- Posts: 278

[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 (!!!!!)

*Last edited by 21122012 (2012-12-09 08:18:55)*

**"The conditions imposed on functions, become a source of difficulties which will manage to be avoided only by means of new researches about the principles of integral calculus"**

** Thomas Ioannes Stiltes.** ...

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**21122012****Member**- Registered: 2012-11-16
- Posts: 278

Hi, Bobbym!

Insert, please, this link:

h ttp://vladimir938.eto-ya.com/files/2012/12/a0d1352a18ccea9c4069e7971a6777eb.gif

**"The conditions imposed on functions, become a source of difficulties which will manage to be avoided only by means of new researches about the principles of integral calculus"**

** Thomas Ioannes Stiltes.** ...

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,379

Hi;

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**21122012****Member**- Registered: 2012-11-16
- Posts: 278

What do you mean under the word "base"? If r and h vary, that

For example

But then

What than R?!** Thomas Ioannes Stiltes.** ...

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**21122012****Member**- Registered: 2012-11-16
- Posts: 278

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 :

.

*Last edited by 21122012 (2012-12-09 07:11:11)*

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**21122012****Member**- Registered: 2012-11-16
- Posts: 278

You try to combine incompatible concepts. r and h can't be independent variables and change at the same time.

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**21122012****Member**- Registered: 2012-11-16
- Posts: 278

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!

*Last edited by 21122012 (2012-12-09 07:19:05)*

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**21122012****Member**- Registered: 2012-11-16
- Posts: 278

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:

!** Thomas Ioannes Stiltes.** ...

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**21122012****Member**- Registered: 2012-11-16
- Posts: 278

21122012 wrote:

#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!

21122012 wrote:

;#138

!!!!!!!!!!!!!!!!!!(look this)!!!!!!!BUT (!!!!!)

;

*Last edited by 21122012 (2012-12-09 08:18:15)*

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**21122012****Member**- Registered: 2012-11-16
- Posts: 278

*Last edited by 21122012 (2012-12-09 08:15:15)*

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**21122012****Member**- Registered: 2012-11-16
- Posts: 278

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

*Last edited by 21122012 (2012-12-09 09:05:53)*

** Thomas Ioannes Stiltes.** ...

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**21122012****Member**- Registered: 2012-11-16
- Posts: 278

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!

*Last edited by 21122012 (2012-12-10 10:21:45)*

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**21122012****Member**- Registered: 2012-11-16
- Posts: 278

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.

** Thomas Ioannes Stiltes.** ...

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**21122012****Member**- Registered: 2012-11-16
- Posts: 278

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.

*Last edited by 21122012 (2012-12-09 13:29:50)*

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,522

21122012 wrote:

Hi, bobbym.

I claim thatfunction 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.

The problem with those two questions is that they do not make much sense. You should find better words to explain your thoughts.

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**21122012****Member**- Registered: 2012-11-16
- Posts: 278

anonimnystefy wrote:

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.

** Thomas Ioannes Stiltes.** ...

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,522

They do not make sense because I do not understand what they mean.

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**21122012****Member**- Registered: 2012-11-16
- Posts: 278

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.** Thomas Ioannes Stiltes.** ...

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,522

How do you postpone a radius?

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**21122012****Member**- Registered: 2012-11-16
- Posts: 278

anonimnystefy wrote:

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?** Thomas Ioannes Stiltes.** ...

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**21122012****Member**- Registered: 2012-11-16
- Posts: 278

anonimnystefy wrote:

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.

** Thomas Ioannes Stiltes.** ...

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**21122012****Member**- Registered: 2012-11-16
- Posts: 278

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?

** Thomas Ioannes Stiltes.** ...

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,379

Ask the best mathematicians, I am right or I am mistaken.

I am pretty sure what their answer will be.

I am sure that any mathematician won't be able to answer this simple question.

Hmmm.

At the same time you will advertize the site and you will attract to it many new people.

No comment.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

**Online**