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shekoofeh
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Dimension,
what does this mean?!
and Has anyone heared about 2-d matter?
what does this mean?!
and Has anyone heared about 2-d matter?
shekoofeh said:Dimension,
what does this mean?!
and Has anyone heared about 2-d matter?
In mathematics, no definition of dimension adequately captures the concept in all situations where we would like to make use of it. Consequently, mathematicians have devised numerous definitions of dimension for different types of spaces. All, however, are ultimately based on the concept of the dimension of Euclidean n-space E n. The point E 0 is 0-dimensional. The line E 1 is 1-dimensional. The plane E 2 is 2-dimensional. And in general E n is n-dimensional.
In the rest of this article we examine some of the more important mathematical definitions of dimension.
A dimension is a measurable quantity that describes the size or extent of an object or space. In physics, dimensions often refer to the length, width, and height of an object, but dimensions can also refer to other measurable properties such as time or temperature.
In our everyday experience, there are three dimensions: length, width, and height. However, in theoretical physics, there are many different theories that propose the existence of additional dimensions beyond these three. Some theories suggest 10 or 11 dimensions, while others propose up to 26 dimensions.
The fourth dimension is a theoretical concept that refers to a dimension beyond the three dimensions of space (length, width, and height). In physics, the fourth dimension is often used to describe the dimension of time, which is considered to be a fundamental part of our universe.
In mathematics, a matrix is a rectangular array of numbers or variables. The dimensions of a matrix refer to the number of rows and columns it contains. For example, a 3x4 matrix has 3 rows and 4 columns, making it a 3-dimensional matrix.
In string theory, dimensions play a crucial role in describing the fundamental properties of the universe. String theory proposes that our universe is made up of tiny, vibrating strings that exist in 10 or 11 dimensions. These extra dimensions are believed to be curled up or hidden from our everyday experience, but they play a crucial role in understanding the fundamental forces of nature.