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What does the dimension formula mean?
The dimension formula is that the dimension of sum space is equal to the sum of space dimensions, and the dimension of intersection space decreases. Dim(V+U)= dimV+ moody -dim(V∩U). For example, in three-dimensional space, the sum space of two-dimensional space where xOy plane is located and two-dimensional space where yOz plane is located is three-dimensional space, and the intersection space between them is one-dimensional Y axis.

If the intersection space is zero space {0} and its dimension is zero, the sum space can be decomposed into direct sum: dim(V⊕U)=dimV+dimU For example, the direct sum of one-dimensional space of X axis and two-dimensional space of yOz plane is three-dimensional space.

Theorem assertion:

Theorem asserts that for any natural number n, there are H. L. Brouwer (Brouwer, L.E.J) whose IndR "= IndR" = N. DimR "= N is 19 1 1 year.

Ind R" = n proved by Brouwer (Brouwer, L.E.J) in 19 13. Ind R" = n was proved by Menger (K K.) in 1924 and Uryson (YPMCON, II.C) in 6544.

One dimension has only length.

The two-dimensional plane world is only wide and long.

A three-dimensional world with length, width and height. The three-dimensional world we see with naked eyes is a space where the position of a point is determined by three coordinates. The real space of objective existence is a three-dimensional space with three dimensions: length, width and height. The concept of multidimensional space introduced in mathematics, physics and other disciplines is a scientific abstraction based on three-dimensional space.

The concept of four-dimensional space-time Most of the four-dimensional space mentioned in daily life refers to the concept of four-dimensional space-time mentioned by Albert Einstein in General Relativity and Special Relativity.

Our universe is made up of time and space. The relationship between time and space is to add a time axis to the three axes of length, width and height of ordinary three-dimensional space, and this time axis is an imaginary axis. According to Albert Einstein's theory of relativity, the three-dimensional space we face in life and time constitutes the so-called four-dimensional space.