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## #151 2012-12-09 15:47:13

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

### Re: New mathematic on english

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

- the cube party
;
ordinate axis
- the area of a side of a cube
;
the area
- pyramid volume
;
and etc.

"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. ...                                                 I made it!

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## #152 2012-12-09 21:26:18

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: New mathematic on english

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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## #153 2012-12-10 04:14:46

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

### Re: New mathematic on english

Hi, bob bundy!
I respect your desire to think and ability to achieve that that you want. I the such. But you excuse you don't understand that me the cone doesn't interest. Me Calculus interests. I gave an example from Wikipedia where by means of Calculus the mistake in real calculations was made. There the result was received.

- is a formula of a full derivative of volume of a cone on height.

I approve that this result - a mistake. For what you write me that that me doesn't interest? If you want to prove that it so:

- is a formula of a full derivative of volume of a cone on height.

- prove!

"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. ...                                                 I made it!

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## #154 2012-12-10 06:30:18

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

### Re: New mathematic on english

I will try to explain once again to you in what an error of the theory of Calculus which leads to a mistake in practice in language of mathematicians understanding integral and differential calculus. If you and now don't understand, excuse but I should draw pictures and to explain as school students who only start studying of these sections of mathematics.

Here endurance from my first post:

21122012 wrote:

ONE OF MANY ERRORS IN CALCULUS.
In the calculus there are mistakes in establishment of rules and general view's formulas because some special cases were given sense of the general view.

The initial formula is given in Wiki in the form of function from two independent variables. On a decision course this formula replaced with a formula in the form of function from one variable. The answer wrote down again in the form of function of two variables. This forgery is caused by imperfection of Calculus! I gave Structural Analysis's rules which eliminate this practical's error in Calculus theory!

21122012 wrote:

#154

If

that

!
or
!

But if

that

!

If

and
- independent variables:

But if

P.S.

It isn't necessary to confuse concept height as distance from the cone basis to its top

and concept an independent variable
because
this value of
:

Last edited by 21122012 (2012-12-10 10:22:48)

"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. ...                                                 I made it!

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## #155 2012-12-10 06:49:11

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

### Re: New mathematic on english

I have no right at this forum to publish links.

"h ttp://en.wikipedia.org/wiki/Partial_derivative"

The machine blocks as spam. I will show the first and last formulas:

...

"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. ...                                                 I made it!

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## #156 2012-12-10 07:38:13

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

### Re: New mathematic on english

Not!

"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. ...                                                 I made it!

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## #157 2012-12-10 08:07:06

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

### Re: New mathematic on english

I don't understand: I at a forum where mathematics or who communicates?

Well I will write once again see post #174

"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. ...                                                 I made it!

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## #158 2012-12-10 08:08:38

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

### Re: New mathematic on english

See post #174

What from this it isn't clear to you? !

Here it is written in mathematical language by formulas.

Make endurance: what exactly from this isn't clear to you!

- true;

- true;

- true;

- not true.

Last edited by 21122012 (2012-12-10 10:20:22)

"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. ...                                                 I made it!

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## #159 2012-12-10 08:30:55

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

### Re: New mathematic on english

Hi, bobbym!

"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. ...                                                 I made it!

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## #160 2012-12-10 08:49:08

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: New mathematic on english

Hi;

This is the link you want.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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## #161 2012-12-10 10:19:35

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

### Re: New mathematic on english

You are right for your understanding. I nervous from your questions. Though it can be formal any letter which designates volume. May be G, M...

But I better now will correct and that I already am afraid of excess questions.

It everything that to you is unclear? The rest is clear? !

Now to a question: what Structural Analysis what can't Calculus? SA can describe formulas geometrical constructions and figures. For example:

Last edited by 21122012 (2012-12-10 10:28:58)

"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. ...                                                 I made it!

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## #162 2012-12-10 10:27:20

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

### Re: New mathematic on english

bob bundy, It everything that to you is unclear? The rest is clear? !

"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. ...                                                 I made it!

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## #163 2012-12-10 12:14:49

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

### Re: New mathematic on english

All is still worse than I  thought...

1.

, For example: 5 or 763,139 or 76,(6)...

2.

Look post #181:

- true;

At you:

- true, This same at
.

but this function:

3.

If you made two variables dependent that their values won't be able to be independent any more

Last edited by 21122012 (2012-12-10 17:44:50)

"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. ...                                                 I made it!

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## #164 2012-12-10 12:26:51

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

### Re: New mathematic on english

I offer you here that. Why to us cone? Give more simply. Let's consider the rectangle area, as function of two independent variables:

Look D.1 D.2 in post #81.

and look this:

In WIKI it is claimed that:

If

Do you agree?

Last edited by 21122012 (2012-12-10 12:53:02)

"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. ...                                                 I made it!

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## #165 2012-12-10 13:31:34

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

### Re: New mathematic on english

Your mistake and error of Calculus here:

Look animation #140

On the left and in center: r,h - independent; On the right: r, h - dependent.

Than I still can help you that you understood in what difference of dependent variables from independent variables?!

Last edited by 21122012 (2012-12-10 14:00:24)

"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. ...                                                 I made it!

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## #166 2012-12-10 22:49:12

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: New mathematic on english

Hi 21122012;

I inserted the images as you requested.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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## #167 2012-12-11 12:55:13

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

### Re: New mathematic on english

What Structural Analysis what can't Calculus? SA can describe formulas geometrical constructions and figures.

Calculus of it can't do because uses an incorrect formula:

It doesn't give the chance to describe geometrical objects. In SA instead of it two formulas are applied:

which allow to make it.

Last edited by 21122012 (2012-12-11 12:59:02)

"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. ...                                                 I made it!

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## #168 2012-12-11 13:21:24

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: New mathematic on english

One of errors of Calculus and bob bundy

it is rude to mention someone like that. You will stop immediately.

I am also done with inserting images. I think you have enough of them. Please latex them up yourself like everyone else does.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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## #169 2012-12-11 17:18:40

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

### Re: New mathematic on english

Strange nobody disproved any my argument but nobody said yes I agrees with it, with it I don't know agrees or not because I don't understand. It is strange why there is no identity everyone looks that will tell another.

"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. ...                                                 I made it!

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## #170 2012-12-12 19:01:18

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

### Re: New mathematic on english

Hi bobbym!
Show me please at least one mistake in my reasonings!

"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. ...                                                 I made it!

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## #171 2012-12-12 21:03:07

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,037

### Re: New mathematic on english

Hi 21122012

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
The knowledge of some things as a function of age is a delta function.

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## #172 2012-12-13 06:03:50

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

### Re: New mathematic on english

anonimnystefy wrote:

Hi 21122012

Probably, I very inattentive also didn't notice mistakes which you showed me. I specially began a new subject that bob bundby showed me my mistake and I saw it. But a subject for some reason removed. I didn't understand where I was mistaken when claimed that it is cylinder instead of cone volume:

I don't see in it a mistake. Show you to me it, please.

"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. ...                                                 I made it!

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## #173 2012-12-13 06:13:32

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

### Re: New mathematic on english

Finally to be convinced that in your understanding the cone differs from the cylinder, give me please a similar formula for the cylinder volume that I saw a difference:

"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. ...                                                 I made it!

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## #174 2012-12-13 07:48:59

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

### Re: New mathematic on english

We consider integral calculus. Your formula:

is given in an algebraic look.

Don't confuse one to another. I showed (#174) formulas:

- (1);

- (2);

- (3);

In WIKIPEDIA

case is considered.

If the entry condition:

and a final formula:

that it means (2) case.

Introduction during calculation of a condition:

Under an entry condition:

this expression:

doesn't make sense as contradicts a statement of the problem:

The formula:

is:

- (3);

If Calculus used any rules and a formula:

considers as a formula of volume of a cone, means in these rules there is a mistake. It is necessary to find it and to eliminate.

What in my reasonings it is incorrect?

Last edited by 21122012 (2012-12-13 07:52:44)

"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. ...                                                 I made it!

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## #175 2012-12-13 07:59:39

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

### Re: New mathematic on english

I to you will give such analogy. The entry condition is given: ABC triangle. Then you begin some manipulations and you speak: Let A, B, C lie on one line. But you can't lay down such condition because it contradicts a statement of the problem: ABC - a triangle and A,B,C - CAN not LIE ON ONE LINE! ! !

"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. ...                                                 I made it!

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