'Dimension' refers to the coordinates that are specific to a given space whether mathematical or physical. 'Dimension' most often is used to refer specifically to physical property or physical quantity. In other words, it is a measure of some object or event. According to Einstein's theories of relativity, the universe has four spatial dimensions (length, area, volume, and time). In works of Science Fiction, the word 'dimension' is used to refer to some imaginary plane of existence or to what is known in theoretical physics as a 'parallel universe' or 'parallel world'.
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Mathematics is a formal science that studies abstract objects such as quantities or shapes which can be applicable to other scientific fields such as physics, chemistry, or economics or studied for its own sake.
Mathematics is the Microscope and Telescope and Language of Physics.
The laws of physics depend on mathematics - sometimes very complex mathematics.
Physics is the study of matter and energy and their interactions. These can be understood and described using mathematics and that is the reason that mathematics is referred to as the language of physics.
Mathematics