1 Dimensional Object Math
This is the full first lecture of this beginner s course in algebraic topology given by n j wildberger at unsw.
1 dimensional object math. Dimensions in mathematics are the measure of the size or distance of an object or region or space in one direction. In algebraic geometry there are several structures that are technically one dimensional. In physics and mathematics the dimension of a mathematical space or object is informally defined as the minimum number of coordinates needed to specify any point within it. In physics and mathematics a sequence of n numbers can specify a location in n dimensional space when n 1 the set of all such locations is called a one dimensional space an example of a one dimensional space is the number line where the position of each point on it can be described by a single number.
Here we begin to introduce basic one dimensi. A surface such as a plane or the surface of a cylinder or sphere has a dimension of two 2d because two coordinates are needed to specify a point on it for. 1 dimensional object a line multiple points 2 dimensional object a plane multiple lines 3 dimensional object a cube multiple planes also there is the x and y axis which makes a 2 dimensional world the z axis makes a 3d one and a hypothetical a axis would make a 4d world. 0 dimensional object a point.
Thus a line has a dimension of one 1d because only one coordinate is needed to specify a point on it for example the point at 5 on a number line. One dimensional or 1d two dimensional or 2d three dimensional or 3d for example zero dimensional.