What is defination of point in Mathematics?

Answer 1

A spatial point is an entity with a location in space but no extent (volume, area or length). In geometry, a point therefore captures the notion of location; no further information is captured. Points are used in the basic language of geometry, physics, vector graphics (both 2d and 3d), and many other fields. In mathematics generally, any form of space is considered as made up of points as basic elements.

Answer 2

one thanks to imagine of a reduce is that that's the objective that a function is drawing near at a given element. it really is sensible for once you're coping with strains which have holes in them, because we purely care about what it really is drawing near at a level, no longer what it surely is. So if there's a hollow in a line at x = 2, we can nevertheless provide the reduce of what x = 2 would were, depending off of what it became drawing near. some differences that you would see are even as a reduce does no longer exist at a level because a function is going to 2 distinct values on both aspect of the point. then you will in various of circumstances take a reduce from the right or left aspect, and supplies you the cost of the reduce from that attitude. as an get mutually, contained in the line y = (x+a million)/x, there is not any cost at 0 via the indisputable fact that would want to outcome in a branch at 0. although, there is also no reduce as x techniques 0. Why? because in case you attitude 0 from the left, then the cost of y starts to bypass in the route of -infinity. in case you attitude it from the right, it is going in the route of +infinity. for this reason the reduce does no longer exist, yet you'll get a cost from the right or left of it. wish that helps!

Answer 3

In geometry, the word "point" is undefined. So are "line" and "to lie on". The axioms describe the properties of these concepts, e.g.

For every line L there exist two points that lie on line L.
For every two points there is a unique line on which these two points lie.
etc.

Answer 4

well, in geometry, a point shows an exact position or location on a plane surface

Answer 5

Point-a dot which is on a line and represents something.

Answer 6

I think point means a decimal point.