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Then, what is the integral of f(x)=x?
This phrase has in itself no concept of integral. Write a formula.
May be this down line?
If a formula:
to represent in the form of segment of the line:
which will be expressed by a formula:
that the bottom limit - value of argument:
of the function , the top limit - value of argument: of the function .The first point of a segment of line - value of a derivative:
, the last point of a segment of line - value of a derivative: .The line on which located the segment of line has a formula:
.If all line - f (t):
And if the line consists more than of one part:
or
P.S.
f'(0)x=0
What is f ?
Bob
I there added. That absolutely correctly there had to be two blue points and any red.
I want to notice that the left drawing has bottom and top limits is two values:
because:
hi
I can believe it is ... but if you want people to understand what you are talking about ...
Bob
While let only look. It has to be postponed in subconsciousness then to associate with the told
Hi bob.
I prepare the following animations. This quite labor-consuming production.
Part one. Introduction.
you calling people names such as morons and humanoid monkeys.
Not all. And such who crucified the Christ instead of the murderer. The mankind is divided into two parts. Not I thought up it. Read the Bible. They burned also Giordano Bruno.
If want you will translate this article. It was the great person who gave sight to million people. They killed him.
http://www.proza.ru/2010/03/12/1475
This your business. As you want. You simply detain science development for the sake of the vanity.
Hi bobbym!
Open a topic which you closed and I will offer explanations which you more anywhere won't find.
Remove please excess posts, which not about mathematics.
I have to disagree. You are wrong to call anyone a monkey. Even if he is. Politeness demands we be tactful.
You really don't understand me or you pretend that you don't understand to cause to me aggression of many people? I told you that I use sense of expression "repeats as a monkey".
bobbym wrote:Unless you are Isaac Newton there is and always will be many people smarter than you are.
And even Isaac Newton himself admitted that there were people smarter than he was giants on whose shoulders he stood.
I don't see in it for myself problems. Maybe you have with it a problem but at me isn't present.
Hmmmm, I do not see how you can ever progress relying solely on your input. Unless you are Isaac Newton there is and always will be many people smarter than you are. In your case, some of them are on this forum.
This private matter of everyone. Only Newton didn't finish the research of the Binomial by this formula, and I finished:
On the lighter side, here in the good ole USA if anyone called me a humanoid monkey I would clobber him with my bunch of ripe bananas.
I already explained to you that meant people who have no thoughts and strangers use only and speak: "And I so think". Actually they don't think in any way and only repeat. Therefore I used sense of expression: "Repeats as a monkey". I offended nobody by it, I simply established the fact. And the fact can't offend the normal person.
Here, as practically everywhere you confuse cause and effect. Me throw out from forums without understanding simple reasonings. Them don't accept only because they don't coincide with that that THEY got used to repeat. Therefore I draw a conclusion that if THEY can't have the thoughts but only to repeat strangers that they do that that call "repeat as a monkey". Anything personal only fact ascertaining!
Strange. Show me where I did such bad things unworthy Giordano? And that that my posts and even topics everywhere mercilessly delete it and there is that that me with him similar.
You are now comparing yourself with Galileo?
No! With Giordano Bruno
I regret that I can make no sense of this.
Refer to my post on your original thread.
Bob
Whether it would be interesting to learn there were such people at the time of Galileo Galiley who looked in his telescope and spoke: "But I there see nothing! " Probably were...
You started this thread saying "one of the many errors of calculus".
I have seen three of your errors. In each case you have not applied calculus theory correctly. I have explained why and you have stubbornly argued with me.
If there are two theories and they in three moments contradict each other, each of two theories has the right yet these moments errors of other theory won't consider is found out what of theories is true. Correctness of any theory can be proved by only one way - result of experience. I made this experiment:
http://vladimir938.eto-ya.com/files/2012/12/key.gif
But I have offered many links to websites to support my argument, and you have ignored these. If this is the way you have behaved on other forums, then I am not surprised that you have not succeeded there.
I didn't arrive here from Mars. That is written in references which you to me gave I I know not worse you. To me on Calculus of the teacher always put only the highest marks. I didn't ignore them but they in any way don't disprove my arguments THEY to THEM CONTRADICT as has to be in two contradicting theories.
As for other forums that I am not guilty in that that in the world only one percent of homo sapiense and 99 percent of humanoid monkeys.
I will teach you how to do calculus if you are willing to listen. Once you can use it correctly, it will be interesting to see if any 'errors' remain.
I am assuming that you have invented 'structural analysis' yourself. Clearly, you understand what you mean and have spent a long time working on it.
You post complicated diagrams, with annotation in Russian, and often with formulas that are not defined properly. Do you really think I can understand any of your theory? If you wish to promote this theory you need to present it properly; in the way that mathematicains have done for thousands of years.
Start with your axioms.
Give simple examples.
Pause, while your pupil asks questions and tries to master the basics.
Set questions that are within the grasp of your pupil, so they can move forward slowly.
Increase the level of difficulty only as your pupil gets better.I hope you find this advice helpful
Bob
Look how many thousand people participated in mathematics creation. And you want that I one replaced thousands. From me it is enough of that that I found mistakes and offered the correct direction. the rest will be done by other people.
P.S. You will be able to teach nothing me besides that you will repeat that that is in textbooks. And that that am in textbooks I already read.
I gave an example of experience which showed that graf of function y=f (x) and y=f(x) aren't connected in any way with each other except for values of derivative two various functions in curve points. THESE ARE VARIOUS FUNCTIONS!
Bob bundy look this
Hi bobbym.
give me please the your assessment of the animation created by me and sense which it opens
"F' is the semi perimeter because ........."
F' is not the semi perimeter, because
points of which the top horizontal piece consists aren't equal to points of which the bottom horizontal piece though pieces have identical length consists. But they have various value. I want to explain you it but you refuse to watch my conclusions.
Now I will show one of keys which underlie Structural Analysis creation. The detailed description isn't present, but animation is quite obvious.
Let's choose dependence from each other two variables, convenient as a bright example. Functionally this dependence is expressed by a formula:
Let's show the image of this dependence in a geometrical and graphic look.
In a geometrical look this dependence will be expressed in the circle square with a variable radius:
and in a graphic look in the form of a vertical piece of variable length:
Because the circle and a piece - the elements which are strongly differing from each other, process of integration:
will be represented in both cases differently.
The given animation will help to compare each other elements geometrical and elements of graphic interpretation of processes of integration:
Well !!!
I will show it on the example of the y=x^3 function you look link the tangent line is emphasized with a green strip and is one of other structural lines:
http://vladimir938.eto-ya.com/files/2012/11/alg.jpg
A tangent line has no direction because:
This line on graph of function
is set of all points lying on one line and dividing a piece
on two parts. Therefore this line anywhere doesn't begin and anywhere doesn't come to an end and has no direction.
You understand?
Understand one very important key point: when you decide to draw the Graf of function
and to represent the areas of circles
in the form of lengths of pieces you go on unforeseen distortions of further creation of the schedule which differ from geometrical reality.
You do not even understand the difference between the discrete and the continuous...
Δx can be used as an approximation to dx when it is very small. Δx is not the same as dx, if it were there would not be two symbols. Differences are sometimes used as an approximation to the derivative. No one says they are equal.
Any continuous is not understood discrete. Of it we are convinced by real sciences: physics, chemistry, etc.
Everything is accurately defined. It isn't necessary to think out more than anything!