Gas entering the brain, samadhi, and functions

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In fact, the integral of the Y-point on the velocity curve gives the average value of each velocity Y-value within the X corresponding to this Y-point.
Multiplying this average value by X gives the accurate distance traveled by the object in this part.
However, when mathematics establishes calculation methods, it actually uses the ratio of distance to time to calculate the limit at a certain Y-point.
This calculation result should actually also be a kind of velocity or represent a velocity at the Y-point.
And the curve has a representation of the velocity Y-value at this Y-point.
This indicates that the Y-value at this curve point has two differently expressed velocity values or two different velocity values.
In mathematical research, or when mathematicians first calculated this other velocity value, they may not have been clear about what exactly this other velocity value, which can also represent the object's velocity, actually represents.
What is its relationship with another velocity Y, which is represented by the same X on the velocity curve?
Thus, mathematicians may have had a sudden insight and set these different velocity values as different velocity values with a derivative relationship.
But the derivative calculated from the limit velocity value obtained cannot yield the actual derivative.
To obtain the correct calculation conclusion for the derivative, we need to divide this velocity obtained by finding the limit by a constant value corresponding to the derivative to be found.
The velocity value obtained by finding the limit becomes an integral form after adding this constant.
Only then is it the true average velocity value.
Although the average value of the velocity at each point on the curve is obtained by integrating the Y-value of the velocity.
But this average value actually still has the form of distance.
It still represents the product of velocity and time.

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Regarding the difference between instantaneous acceleration and instantaneous velocity.
The Y point of the actual variable speed motion curve represents the speed at the corresponding time X or the instantaneous speed of the object at the Y point.
Derivative of this speed or instantaneous speed, we get the instantaneous acceleration at point Y!
The velocity before point Y plus this instant acceleration is the derivative of the velocity at point Y which is this instant acceleration.
The sum of these two velocities at point Y is the instant speed or velocity at point Y!

進(jìn)城

Regarding the difference between instantaneous acceleration and instantaneous velocity.
The Y point of the actual variable speed motion curve represents the speed at the corresponding time X or the instantaneous speed of the object at the Y point.
Derivative of this speed or instantaneous speed, we get the instantaneous acceleration at point Y!
The velocity before point Y plus this instant acceleration is the derivative of the velocity at point Y which is this instant acceleration.
The sum of these two velocities at point Y is the instant speed or velocity at point Y!

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Physics, mechanics, and mathematics often explain instantaneous acceleration as instantaneous velocity! This is completely a sign of fundamental conceptual confusion or logical incoherence! How many more such cases of unclear and muddled logic are there in human scientific research and mathematical studies? Quite a few.

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When actually calculating the integral of variable speed motion.
Just integrating the velocity gives you the average velocity versus time.
But time itself is also a variable, but it is only calculated as a constant.
When moving with uniform acceleration, time becomes a variable to be integrated for calculation.
Have mathematicians really studied this mathematical principle and calculation method discovered and invented by humans clearly?

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s=V0t+(at^2)/2
This formula is a formula for calculating the uniform acceleration motion distance obtained by integrating time with time as the variable.

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When moving with uniform acceleration, what is actually obtained by integrating time is the average value of the movement time.
This is equivalent to the fact that the speed remains unchanged and time changes.
When moving at a non-uniform speed, when time is constant, the average value of the speed is obtained by integrating the speed.

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When an actual object is moving, time and speed have their average values.
These two averages are calculated by integration.
The specific calculation of which average value is based on the speed of movement, whether it is uniform speed or uniform acceleration, or non-uniform speed, determines whether to integrate time or speed.

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However, mathematical research does not explain the principles and theoretical discoveries.
Only specific calculation methods were simply invented.
And there is no clear explanation on the calculation method.
Professors who teach mathematics draw cats on cats.
There will be no independent research findings.

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The functional substances produced in the human body have reached the pinnacle of the wisdom of the universe in terms of calculation.
And they are the real geniuses.
They do not require human learning, including robot training, and humans first design and set programs for them.
The computing power of functional substances is innate, possessing all computing power when they are formed.
Including the principles of calculation methods that human mathematical research has not yet been able to discover, these living creatures know how to use them.