Many people believe that x-t spacetime is separable and that describing x-t as an inseparable unit block is only essential when the speed of the object concerned approaches that of light.
This is the most common error in mathematics as I understand it.
The universe has been expanding since the time of the Big Bang at almost the speed of light and this may be the reason why the results of classical mathematics fail and become less accurate than those of the stochastic B-matrix ( or any other suitable matrix) even in the simplest situations like double integration and triple integration.
One of the most common mistakes in mathematics is making calculation errors, such as simple mistakes in addition, subtraction, multiplication, or division. This can happen when working with long numbers or when doing mental math.
Another common mistake is misunderstanding the problem or misinterpreting the instructions. Students may not fully understand what the problem is asking or may misread the question, leading them to solve the wrong problem or give an incorrect answer.
Another mistake is skipping steps or not showing work. When students do not show their work, it can be difficult for teachers to see where they went wrong, and it can also be challenging for students to identify and correct their mistakes.
Lastly, some students struggle with mathematical concepts because they have not mastered the fundamental skills needed to solve more complex problems. This can make it difficult to progress in math, as more advanced concepts build upon the basics.
CASE A:To begin with, let's admit that nature does not see with our eyes and does not think with our brains.We try to understand how nature performs its own resolutions in space-time x-t like an inseparableunit block.
However, B-Matrix statistical chains (or any other suitable stochastic chains) can answer this question and demonstrate, in a way, how nature works:
i-nature see:the curve as a trapezoidal area.ii-nature see:the square as a cube or a cuboid volume.iii-nature see:the cube as a 4D Hypercube and evaluates its volume as L^4.In all hypotheses i-iii, time t is the additional dimension.However, many people still believe that x-t spacetime is separable and that describing x-t as an inseparable unit block is only essential when the speed of the object concerned approaches that of light.This is the most common error in mathematics as I understand it.The universe has been expanding since the time of the Big Bang at almost the speed of light and this may be the reason why the results of classical mathematics fail and become less accurate than those of the stochastic B-matrix ( or any other suitable matrix) even in the simplest situations like double integration and triple integration.This is the reason why the current definition of double and triple integration is incomplete.Brief,-------Time is part of an inseparable block of space-time and therefore,geometric space is the other part of the inseparable block of space-time.In other words, you can perform integration using the x-t space-time unit with wide applicability and excellent speed and accuracy.On the other hand, the classical mathematical methods of integration using the classical mathematical technique in the geometric Cartesian space x-alone can still be applied but only in special cases and it is to be expected that their results are only a limit of success.In other words, you can perform integration using the x-t space-time unit with wide applicability and excellent speed and accuracy.1-It is important to understand that mathematics is only a tool for quantitatively describing physical phenomena, it cannot replace physical understanding.2-It is claimed that mathematics is the language of physics, but the reverse is also true, physics can be the language of mathematics as in the case of numerical integration and the derivation of the normal/ Gaussian distribution law via the statistical B-matrix chains.However, in a revolutionary technique, chains of B matrices are used to solve numerically PDE, double and triple integrals as well as the general case of time-dependent partial differential equations with arbitrary Dirichlet BC and initial arbitrary conditions.At first,I=∫∫∫ f(x,y,z) dxdydzwhich has been defined as the limit of the sum of the product f(x,y,z) dxdydz for a small infinitesimal dx,dy,dz is completely ignored in numerical statistical methods as if it never existed.It is obvious that the new B matrix technique ignores the classical 3D integration I=∫∫∫ f(x,y,z) dxdydz.We concentrate below on some results in the field of numerical integration via the theory of the matrix B, which in itself is not complicated but rather long.
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Single finite Integral
I=∫ f(x) dx ... for a
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