domingo, 31 de março de 2013

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ANGULAR GRACELIANO calculus.


Author. Ancelmo Luiz Graceli.

Brazilian, professor, researcher, theorist, graduate in philosophy.

Address - Street Itabira, n 5, Rosa da Penha - Cariacica - Espírito Santo, Brazil.

ancelmoluizgraceli@hotmail.com

Work registered in the National Library - Brazil - Copyright.

SUBMITTED A SECT - ES - BRAZIL.

Sesbram - Holy Ghost Society - Brazil Mathematics - submission.


ALMOST ALL OF NOTHING CAN APPEAR - EXCEPT GOD. BECAUSE IT IS THE ONLY ABSOLUTE.



MATH.

The objective of this work is to develop mathematical model of a new way of seeing the calculation, but simple and can suffer several reforms over time.

Theory graceliana limit.

'' Least a part of a whole, the result divided by the whole''. Continuing the equation infinitely.

x - y / x = g. The result [g] will always be between zero and one.
Here we have the beginning of a new calculus.
x-y / x = g. where g and a never will never be less than zero. And decrease infinitely.

G + g.
g-g.
g / g. g * g / x.
g / g
n ... infinitesimal progression.

[K]
g / x.


g * g = a g.
n ...
x-y / x = g ... * X-y / x = g ... -X + y / x = g = n ...


g a g * .... Progression limit.

The boundary between zero and one can be infinite because it can decrease infinitely, but will always be less than the number one.

gx / x infinitesimal limit.
n ...

x - y / x / x ...

Found the line between zero and one with the whole of part subtracted, and back to share with the whole, is found just a number that never goes beyond a.


Calculation Graceliano Angle.

Graphics from points and boundaries between zero and one.

1 - Change of points by varying the distance to the angle, and the variation of the angle.

The point is marked by the distance and angle to angle. Where the points vary.

And the distance will vary according to the equation relative to determine the angle.

Example.

20 * x = 40. Where x = 2, ie the distance is equal to 40. That is, we have a point angle 20:01 distance 40, ie two times the angle. This will build a format in space or in a predetermined graph.

That is, the angle can vary as much as x, determining who within a chart from the angle we point to various distances to the center. Where we have multiple formats straight, curves, and shapes from these points.

With x being equations, progressions, limits, fractions, etc..

Example.
x-y
X = x.

X = y / x -1. And several other ways to find the points of angles [â] and distance.


2 - Variation of points also from changes in variable angles, and distance from these variations summed with the variations of the distances of the equations.

Examples.
1 - = â progressions, fractions, and other variables.

2 - y = ã / 2 +3 / 2 = the angle. The angle sought is found the distance from each point to the center of the graph from a different formula to find the distance from that angle ever encountered.


1 - x + y = ã. The angle [â] determine the distance from a new formula.

And angle and distance determine the point where several points will be built with straight, curved and graphics. Finding various angles, various distances will be found, and for each angle and distance will be scored a point. And these infinite points will format the lines, curves and graphs.

Example.
X = y / 3 = A = x * [g / 2] = d = distance.

Variable angle is found, the angle + variables is found the distance from the center angle, and angle and distance from the center is where the point is marked to that equation.

X +2 = 3 +2 = 5 ã ã = 5.
D = ã + 4. For x = 3 we â 5 5 +4 = 9 = d = 9. thus have a point angle in the range 5 to 9.

As the variables are changing the points are changing the place where will be built straight or curved and irregular figures and irregular variables.


The angle may also be found from the predetermined distance. And so will the point.

The figure, straight or curve can be measured from any angle greater than 10 degrees.

However starting from 90 degrees developed by calculating the figure will have a better view.

â = d. In this equation will always have a line parallel to the center point as the chart above.

CALCULATION AND GRAPHIC GRACELIANO.


Infinitesimal limit.

A = [-x] / a n ... = G

The whole least a part divided by the whole thus infinitely.

Where x is always less than that.
And the threshold is infinitesimal, and always greater than 0 and less than 1.

T-P / T ...

Calculation and graphic graceliano.

The graph is always determined by the angle and distance from the center to the edge, and the angles vary by distance or equation to be developed.

It is divided into several types.

FIRST CONDITION.

For d = distance equal to â equals angle.

The distance determines the angle where the points are marked with the distance and angle, and the succession of points form a graph, straight or curve.

Where x ranges from one to ten or between two other values.

Example.

1 - For d = x +5 = â for x = 3
d = 3 +5 = â
d = 8
â = 8

2 - for d = x +5 = ã for x = 4

d = 4 +5 = ã
d = 9
â = 9




SECOND CONDITION.

 D DIFFERENT, DIFFERENT ANGLE DISTANCE.

The distance and the angle can be different, where the results are different, and that the result of the equation can take any graphic.

D differently.

For d = x + y / 2 +3, we have a = y / 3 - 5.

For x 1-9, y and 1-9.

Thus we have 9 points marked with a distance varying the angle.

For the first point x = 1 and y = 1.
For the second point x = 2 and y = 2. So forth.


THIRD CONDITION.

WHERE THE VALUE OF X AND Y CAN BE DIFFERENT, WITH RESPECT TO THE POINT TO BE MARKED.

Where the first point x can be 1, 3 * y x. or any other variation equation.

The distance and angle are variable.
And x and y are also variable, or a third or fourth variable.


It will form straight points, curves and graphs.



With the results infinitesimal can be added or multiplied by real numbers to mark the points on the graph.

Forming an integral result.



FOURTH CONDITION.

ADDITION UP POINTS OF AN EQUATION WITH OTHERS, FORMING A GRAPHIC CIRCULAR.

Where the result differs from the angle distance, and that x is different than y.

2 2
1 - d = x +2 / 5 + y = x +3 â x.y / 2


2 - x d = 2 * 5 * y + a = x / 2 * y / 2


For x from 1 to 10.

For y of 1 to 10.

Equation 1 will add up all the points, and also equation 2, and the sum of the curve of equation 1 with a 2 form a pie chart.

We will see the graphics front.

FIFTH CONDITION -

POINTS ALSO BE MARKED WITH DIFFERENT ANGLES OF DISTANCE AND VALUES OF X Y DIFFERENT, AND SUM OF RESULTS DO A KIND OF GRAPHIC CURVO.

D different from A, x and different y.

1 - d = 3 / x - [y * 2]. A = 4 / y * [x * y 6 +].
With the values ​​of x and y =

1.1 = 1 to 10.

1.2 = y = 2 x = 3
1.3 = x = 4 y = 7
1.4 = x = y = 8 9.


2 - for d = 4/3 +5-2 * [y / 2], with 2/y-4 â = * x * [3 / x + y].

2.1. X - 1 to 10 and y from 1 to 10.

2.2. x = 4 and y = 3.
2.3. y = 3 x = 4.

As the chart was drafted follow the result of the equation, where for each result found from x and y, we have an angle at a distance from the center to the edge where the point will be marked.

Even though the result of the angle being different distance for this condition.


LIMIT infinitesimal.

The subtracted from every part divided by the total, the result back to divide the whole, thus infinitely thus have a new form of more boundary between zero and one, and that decreases indefinitely, but only between greater than 0 and less than 1 .

[X-y = g. g / k x = k / x = m.
5-20 = 15 15/20 = 0.75, 0.75 / 20. = 0375, so infinitely.


[X-y = g / x] n ....

More boundary between 0 and minus 1, and can decrease infinitely.


FRIDAY CONDITION.

THE EQUATION OF DISTANCE EQUAL TO ANGLE added [+] minus [-], multiply [*] OR DIVIDED [/] The A VALUE X, X OR PROGRESSION, OR POWER X,

 * = D .. x
 = D / x squared. And there continues.

Or
 = D + x / 3 = r +2. ie d suffers little variation while â is variable in the extreme.



SEVENTH CONDITION.

D DISTANCE IS THE VALUE EQUATION WITH VARIABLE QUALQUÉR X or any other variables. Â ANGLE AND WILL BE EQUAL TO DISTANCE OR THE RESULT OF EQUATION OF DISTANCE added, DIVIDED OR, MULTIPLIED or subtracted OTHER EQUATION.


Example.
D = x.
X = a * y / 2 +4.

The distance from the center of the graph is to the point where it is checked by the result of the equation, and the angle of the equation depend on the result of the distance with the result of the equation and the angle of its variables.

Example 2.

D = x / y +3 to x = 1-9 and y = 2.

 = X + 5 - y + g. g = 0.5

That is, the angle will vary according to its first variable is distance.

YEG may be more fixed values, as in the case of x values ​​with infinite thousandths of one to nine, or only nine values ​​of natural numbers.

But for every variable x must be an equation for each variable y and g.


Eighth condition.

To progression.

For d = x, x = y = â â angle value varies - in one direction increases and decreases in another in a progression.

â = y + g, y =-g.

The distance increases in arithmetic progression as the angle increases in a geometric progression.

And it can start with the variable angle to find the distance in ascending and descending progression.

à = y + g y = x and y =-x g. g = variable.




NINTH CONDITION.

LIMITS OF ANGULAR POINTS THAT A CERTAIN SUM A BOW OR GRAPHIC.

Boundary = G = 9 - 3/9 ... n = 9 n =

Or limit = g = 9 - s / ks = 9 = greater than 2 and less than 8.
And multiplying the sum of the limit 1-9.
K * 1 to 9.



TENTH CONDITION.


G MAY BE potentiation, potentiation PROGRESSION OF 1 TO 9 AND BASIS OF 1 TO 9 OR MORE, AND SUM OF LIMITS, FRACTIONS, NATURAL NUMBERS, AND IN THE SAME EQUATION potentiation, FRACTION, NATURAL AND NUMBERS OF LIMITS summations.

The graphic may vary from a straight line to a curve, a cone, or any other graph.

1 - D = â the result of the equation is the same angle for distance.

à = x / y + k + g

X = 1 to 9. y 1 to 9. g = progression potentiation 1 to 9.

k = summation limit of 1-9 ..

For each natural number of 1 to 9 x has an equation for y constituting one unit and the same will happen with the progression of summation and potentiation limit 1 to 9.

Example.

For x = 1/1 + power of about 2 1 + 8-limit s / s to 8 = 1-7.

So for every unit of x, y, from 1 to 9 and power base 1-9, and with the variable limit [s] we have an equation with points and values ​​that increase or decrease according to equation request.

Since the signals may also change addition to subtraction, division, and multiplication.




ELEVENTH CONDITION.

A different angle. D = x.
â equal to x / y * g - k.

In case the distance d ranges will vary with x.

The distance can also be y, and g or k. or adding x and y, or the result of the equation of x and y.

The result will be different to the angle for distance. For the variables are more for the angles.






TWELFTH condition.

Variable for the distance d, where x / y * k.
And the angle variable â, unlike d.
â = d + k * g ..

As the result of the distance to the variables k and g.

Multiplicatória infinitesimal limit.

T - p / t = L * n. n represents the equation operating at infinity.
L * = g
For g larger than L.


Example.

10 to 2/10 = 0.8
0.8 * to g = g = 1-9.

The angle a is the limit and the distance of the result with multiplicatória. Or vice - versa.

The multiplicatória can be any variable. Or further more variables.

As: g = r * L r / c c = power of s. = Radian, area charts, etc..

With this calculation can be created any condition.


NOTE.

The graph may begin with the angle as determined by the equation coming or already been mentioned that it will begin at a 90 degree angle, which is formed straight, curved or otherwise graph as the sum of the points represented by the equation.

Also the distance from the center point 90 degree angle according to equation may be reduced by bringing the graph of the equation being developed also in the graph of angle, or even part having outside and inside of the angle.

With these equations can also be found forms of graphs and their respective areas.

That is, you can find these calculations results for both present in plane geometry, as in differential and integral calculus.

It may also be a game of logical and mathematical possibilities in a single equation, where it can be found in a single equation results as thousands of variables to be presented.

Can replace other calculations that require many variables.

To calculate areas of triangles, rectangles, circles, cubes just relate values ​​as if they need after being found by the shape of the graph equation.

With the calculation graceliano to angular graphics can produce various forms of infinite graphs, with several equations.

In the same equation you can use real numbers, progression, potentiation, potentiation of progression, percentage, fraction, differential and integral calculus, summation limits, plane geometry and complex numbers.





ON FORMS OF GRAPHICS.

1 - In an equation in which the results are the same for the angle and distance to several results have a line toward the center of the chart angle.

2 - And if the angle is variable so that a curve will follow the circumference of the graph, ie a curve perpendicular to the center.

3 - And if both are variables, then yes we have several ways for a single equation, which will be determined according to the variables of the equation.

4 - or various forms depending on the variables.

5 - The graph should be measured from the angle of 90 degrees. For the 90 degree angle provides the best format built by the graph points.

6 - Distance can start from the center, or at the end.

7 - In equation should be mentioned that the opposite side of the same graphic form on the other side. If the right is equivalent to left and vice versa. That is, symmetrical shapes.


8 - To rectangular areas must consider the symbols for the type of area to be measured, so for areas of circles, cones and bolts, or even rectangular pieces with graphics and other circular.

9 - The equation may request values ​​interspersed as to even numbers or odd, as in the construction of graphics format screw.

Certain values ​​entered only when the equation is even or odd, or even from a predetermined value.

10 - A simple equation can be progressive and progressive enhancement based on a numerical started, and starting on a numerical exponent or any other number.

Example. In a cone screw type equation should be merged with and progression of increasing exponent, and be represented by the symbol of the area of ​​circles.

Said E being symmetric representation of the other side.


To calculate area consider the distance and angle, the result of summation of points or areas to raise the squared, cubed to volume and volume to radians circles.




CALCULATION DIMENSIONAL ANGULAR.

THIRTEENTH CONDITION -

GRAPHIC DIMENSIONAL ANGULAR.

TO CALCULATE THE POINTS AND FORMING A GRAPHIC DIMENSIONAL, MUST TAKE INTO ACCOUNT THE DISTANCE AND ANGLE ADDITION TO ANOTHER POINT EACH VALUE, WHAT IS THE POINT OF LATITUDE MARKED WITH RESPECT TO THE ANGLE THAT WILL TRIDIMENSIONAL.

Example.
For the sum of the angle plus the distance a different point will be marked in relation to the latitude angle.

D than or equal to the angle â, latitude and different â L. But in the same direction over the distance d.

Point 1a. d = x + [y / 2].
Equation for each value of x will have the value 1 to the unit 9.

For each value of y with equation has the value 1 to the unit 9.


a = x + [y / 3].
Equation for each value of x will have the value 1 to the unit 9.
For each value of y with equation has the value 1 to the unit 9.

L = x + [y / 4].
The same values ​​for x and y follow up cast.

NOTE. YOU CAN ALSO USE THE THIRD DIMENSION TO APPEAR IN AREAS OF GRAPHICS, OR PORTIONS THEREOF.
Using symmetry.



FOURTEENTH CONDITION - ANGLE CHART FOR FOUR DIMENSIONS.

FOR DIMENSION OF ROTATION, OR TRAVELING.

TO CALCULATE THE FOURTH DIMENSION MUST TAKE INTO ACCOUNT FOR EACH ANOTHER POINT VALUE, VALUE THE ROOM.

THAT IS, ONE BEDROOM VALUE TO SCORE A POINT WHICH IS THE ROTATION, IE THE CHART IN ADDITION TO HAVE A WAY HE WILL TURN rotationally SPEED IN SECONDS WITH RESPECT TO, OR ANY OTHER UNIT AS A REFERENCE TO SPIN, And CLOCKWISE OR REVERSE.

D THAN OR EQUAL TO Ã, WHAT ARE THE SAME OR DIFFERENT AL LATITUDE, AND THAN OR EQUAL TO [r] ROTATION.

And for every point scored will be worth the value end of the equation.
Example.

D = x + y for point 1. Whereby x is 5 and y is worth 4/3.
ã = x - y for point 1. Where x and y 4 valley is 3/2.
L = x / y to point 1. Since x and y is 6 worth 2.
r = x / [y / 2] for point 1. where x and y valley valley 8 4.

You can mark multiple points to form the object or graphic.

There will be a point marked by distance and angle, a different point parallel to determine the latitude L, and another point responsible for the rotation of the object graph or equation that will determine.





FIFTEENTH CONDITION -

FOR DEFORMATION OF CHARTS AND AREAS.
GRAPHIC ANGLE TO FIVE DIMENSIONS.

TO CALCULATE THE FIFTH DIMENSION MUST TAKE INTO ACCOUNT THAT ANOTHER POINT FOR EACH VALUE ADDITION OF FOUR sized ALREADY, THAT IS, ONE POINT FIVE HAVE VALUES WHICH IS THE TIME, AND IS A VARIABLE THAT DEVELOPED AS deform GRAPH ACTION TIME AND HE WILL SUFFER. This can be visualized IN BALLOON AND FILLS withering, wilting OR ASIDE AND FILLS IN THE OTHER, OR MAY EVEN PULSAR.

THAT IS, IT THAN HE WILL HAVE A SPIN ONE MORE VARIABLE THAT YOUR GRAPHIC deform, AREA AND VOLUME. AS ACTION AND TIME.


D than or equal to A, which may be different or equal to L latitude, which may be different or equal to [r] rotation, which may be different or equal to the variable v.

The same situation is repeated, and the four points one or two input variables in the equation are deforming the graph.

That is, a graph with several different situations form a balloon, which besides having rotating as it wither and fill values ​​that equation gives you, which is the variable v deformativa. or deforming the variables of action and time [aet].

V = x / [y +1], the values ​​of x and y are variables.
Most points scored by other situations.

Note spatial geometry integral calculus, differential and complex numbers will be developed for calculating angular in another phase.


DYNAMIC GEOMETRY graceliana.


With the fourth dimension which deals with the rotation and the fifth dimension which deals with the variation of the shape of the graph and the object, such as a balloon that can be suffered by the action of wind deforming the side of your format, or fading, swelling or part lower or higher, the geometry becomes dynamic and variable. Or even the object can pulsate with some intensity per second. And you can also pulsate.

Considering also that the object can move sideways on the chart that marks the angles.

For the rotation must be added to equation variable R, rotation per second.

For the deformation must be added to the equation the variable deformativa V, and direction and intensity per second on the angles or distances, where the chart will undergo changes.

We have these equations in the fourth and fifth dimension.

GEOMETRY graceliana DYNAMIC is different from the flat space to be subjected to three or more dynamic variables which distort the geometric object.

Variable displacement D,
Variable speed R,
Variable strain V.
Variable pulsation.
Variable translation.


That is, a balloon pump can have rotation, translation and removal from a point of origin. This applies in astronomy graceliana.


Example 1.

For different distance d â angle. â different latitude L, D, R and L different rotation, and all different V by the time varying deformation.

And for each subsequent point will be added to the value of a unit, subsequent to all dimensional requirements, which determine the shape of the object variable and its dynamics.

Different equations for all conditions.
To the first point.
1 - x + y = d * [g / 2] = where x = 5, y = 4, g = 3.
1 - a * y = x - [g / 3] = where x = 7, y = 2, g = 4.
1 - L = x / y - [g +1] = where x = 4, y = 3 and g = 5.
1 - R = x / y - [G - 3] = where x = 3, y = 2, g = 7.
1 - V = x * y + [g - 2] = where x = 4, y = 3 and g = 5.
Aw = x * y


2 - with the same equation for each dimension or mathematical condition, the variables x, YEG be increased by one unit for each point,

For d, x = 6, y = 5, g = 4.
For a, x = 8, y = 3, g = 5.
For L, x = 5, y = 4, g = 6.
For R, R repeats, since the rotation has only one value.
To V, x = 5, y = 4, g = 5.

Thus, the other points will be scored progressively until complete graph, or object with their variation and rotation.


The variables will be increased by one unit for each point.

Ai is the construction of the first point for all conditions, other points will be scored by keeping the equations and changing the values ​​of variables.

The values ​​of the variables x, YEG are increasing in each condition for each equation, the equation is repeated for each point, changing a unit with increasing values ​​for each variable x, y and g.

It should relate to what point the variable V deformativa begin its action wither, swell or throb.

And in one rotation R value to rotate the object, the first equation is that worth.

The latitude L is related in that direction and meaning, and for the points â angle.

Direction, direction, and speed may be new dimensions.


Example 2.

May be a single equation for all dimensional requirements.

One. D, A, L, R, V * y = x + g - 2 = where x = 5, y = 4, g = 3.
2nd. D, A, L, R, V * y = x + g - 2 = where x = 5 y = 6, g = 4.
3rd. D, A, L, R, V, * y = x + g - where x = 2 7 = y 6 = g = 5,

That is, the variables are increased by one unit.







Thus, one can calculate a balloon wither side, or pulses, is in rotation, translation, ellipse, and withdrawal.


This work is incomplete.
Posted by Ancelmo at 08:53 0 comments
ANGULAR GRACELIANO calculus.


Author. Ancelmo Luiz Graceli.

Brazilian, professor, researcher, theorist, graduate in philosophy.

Address - Street Itabira, n 5, Rosa da Penha - Cariacica - Espírito Santo, Brazil.

ancelmoluizgraceli@hotmail.com

Work registered in the National Library - Brazil - Copyright.

SUBMITTED A SECT - ES - BRAZIL.

Sesbram - Holy Ghost Society - Brazil Mathematics - submission.


ALMOST ALL OF NOTHING CAN APPEAR - EXCEPT GOD. BECAUSE IT IS THE ONLY ABSOLUTE.



MATH.

The objective of this work is to develop mathematical model of a new way of seeing the calculation, but simple and can suffer several reforms over time.

Theory graceliana limit.

'' Least a part of a whole, the result divided by the whole''. Continuing the equation infinitely.

x - y / x = g. The result [g] will always be between zero and one.
Here we have the beginning of a new calculus.
x-y / x = g. where g and a never will never be less than zero. And decrease infinitely.

G + g.
g-g.
g / g. g * g / x.
g / g
n ... infinitesimal progression.

[K]
g / x.


g * g = a g.
n ...
x-y / x = g ... * X-y / x = g ... -X + y / x = g = n ...


g a g * .... Progression limit.

The boundary between zero and one can be infinite because it can decrease infinitely, but will always be less than the number one.

gx / x infinitesimal limit.
n ...

x - y / x / x ...

Found the line between zero and one with the whole of part subtracted, and back to share with the whole, is found just a number that never goes beyond a.


Calculation Graceliano Angle.

Graphics from points and boundaries between zero and one.

1 - Change of points by varying the distance to the angle, and the variation of the angle.

The point is marked by the distance and angle to angle. Where the points vary.

And the distance will vary according to the equation relative to determine the angle.

Example.

20 * x = 40. Where x = 2, ie the distance is equal to 40. That is, we have a point angle 20:01 distance 40, ie two times the angle. This will build a format in space or in a predetermined graph.

That is, the angle can vary as much as x, determining who within a chart from the angle we point to various distances to the center. Where we have multiple formats straight, curves, and shapes from these points.

With x being equations, progressions, limits, fractions, etc..

Example.
x-y
X = x.

X = y / x -1. And several other ways to find the points of angles [â] and distance.


2 - Variation of points also from changes in variable angles, and distance from these variations summed with the variations of the distances of the equations.

Examples.
1 - = â progressions, fractions, and other variables.

2 - y = ã / 2 +3 / 2 = the angle. The angle sought is found the distance from each point to the center of the graph from a different formula to find the distance from that angle ever encountered.


1 - x + y = ã. The angle [â] determine the distance from a new formula.

And angle and distance determine the point where several points will be built with straight, curved and graphics. Finding various angles, various distances will be found, and for each angle and distance will be scored a point. And these infinite points will format the lines, curves and graphs.

Example.
X = y / 3 = A = x * [g / 2] = d = distance.

Variable angle is found, the angle + variables is found the distance from the center angle, and angle and distance from the center is where the point is marked to that equation.

X +2 = 3 +2 = 5 ã ã = 5.
D = ã + 4. For x = 3 we â 5 5 +4 = 9 = d = 9. thus have a point angle in the range 5 to 9.
As the variables are changing the points are changing the place where will be built straight or curved and irregular irregular figures
Posted by Ancelmo at 08:51 0 comments
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Posted by Ancelmo at 09:07 0 comments
Friday, July 30, 2010

Calculus DIMENSIONAL SPACE GRACELIANO.
Author - Ancelmo Luiz graceli.

Brazilian, professor, researcher, theorist, graduate in philosophy.

Rose of the rock, Cariacica, Espírito Santo, Brazil.

ancelmoluizgraceli@hotmail.com

Contributor. Marcio Rangel Piter.

Work registered in the National Library - Brazil - Copyright.

Thanks to some colleges that are including my work on their resumes.


This calculation does not use the Cartesian graph or angular graceliano. Points are scored in space as the function result in an order of height, or longitude, latitude, and transverse [or] acceleration and velocity, or speed, etc.. with respect to time.

For that is one dimensional spatial calculation.

And with infinite dimensions.

And why is infinitesimal calculus can use force or graceliano.




The points are not marked in relation to a chart but in space.

And the values ​​that determine whether the reference is a line, a curve, a curve with rotation, or rotation and progressive departure on one end, and it will translate.

An initial value of x to another x value end, they will be among the initial ex x final.

And for each value of x there is an infinitesimal variation - which can be exponential, progressive, fractional, or other mathematical functions. Even the current calculation.


The variation for each infinitesimal variation of x can represent algebraic functions, integral calculus, or mainly with functions and dimensional values.


The dimensional values ​​can represent infinite dimensions. But mostly for rotation, translation, laterality, removal, progressive expansion.


Space is space, without reference, but the values ​​of x may form a graph - straight, curved, spiral, etc.. fixed or dynamic variation so as to determine the function.

Temporal - may vary in time, so the value of x as the function result.

And you can gradually increase or decrease.


That is, the initial value of x to x end may be from 5 to 9. or other initial values ​​for x and x final.

Examples.

1] = a * x 2 + 4 + b * [c / 2].

2] That is, for each point between 5 and 9 and variations will determine points relative
each value of 5 to 9 and its intermediates.


3] The calculations may be for algebraic functions, mathematical calculations, and especially dimensional.


4] Using dimensions.
Among the initial value of x ex end or infinite being that initial x is 7. And using x as spatial reference, and the other point is the result from the value used in algebraic function, calculation, or valore dimensional.


the] initial x where x = 7 can start with 7 and have an end or continue.

For each value of x = rotation * translation + + removal of lateral movement.

And for each value of each dimension will be different variables versus time.


B] and each dimension may have a very variable, and each variable in itself a variable for each value of x.

C] and each value of x varies according to a predetermined function.

Ie, x is 7-14 with rotation, translation and removal increased to 10 and decreasing from 10.01 to 14 or more.