Geometric definitions (practice) | Khan Academy
Definition 2 An element z of a lattice L is called join irreducible if z = z1 ∨ z2 for z1,z2 meet and join operations are. In a partially ordered set P, the join and meet of a subset S are respectively the supremum It is also possible to define a partial lattice, in which not all pairs have a meet or join but the operations (when defined) satisfy certain axioms. In mathematics, we define terms to meet a need. If something is worth talking about, we give it a name, and define exactly what that name.
Join and meet
In math, the intersection of two things is the same. When two things come together, their intersection is the point or points at which they cross. Intersection of Lines Let's look at how it works with lines. When you have two lines in math that intersect each other, you will have a point or points at which they meet.
An intersection of two lines. This meeting of the lines is what we call the intersection of two lines. We can have several different scenarios when it comes to the intersection of lines. Let's go through them one by one. Two different lines that are not parallel to each other will only have one point of intersection.
Do Parallel Lines Meet At Infinity?
If the lines are different and are not parallel, they will eventually cross each other. They will only cross each other once at exactly one point. When the lines are graphed on the coordinate plane, you can specify the point by giving the coordinate of the point of intersection.
- Intersection in Math: Definition & Symbol
The intersection of these two lines is -2, 3. Two different lines that are parallel will never intersect and will not have a point of intersection.
What does it mean to be parallel? It means that the two lines will never meet, correct? Yes, and if that is the case, they will never intersect. Two lines that are the same are parallel to each other and intersect at all points on the line.
Two lines that are the same essentially lie on top of each other and share all the same points. We can say that their intersection is the line itself. Like in a cylinder is the curved surface considered a face?Meet the Filipino math genius and distinguished teacher of the year behind “Numberbender” videos
Some people tell me that a curved surface is a face and some say it's not. When I search in Google I also don't get a straight answer. I just want to find out.
I think a curved surface is not a face. As you've discovered, there is no straight answer to this.
Intersection in Math: Definition & Symbol | realestateforms.info
In mathematics, we define terms to meet a need. If something is worth talking about, we give it a name, and define exactly what that name means. Mathematicians talk about faces, edges, and vertices commonly in the context of polyhedra, where faces are all flat, and therefore are always polygons, and edges are always straight line segments.
We have not found it very useful to extend this idea to other shapes, such as cylinders or cones, which have curves, so we have not made a standard definition for these terms in that context. If we happen to need to do so, we would give our definitions at the start of our paper, and would use whatever definitions make it easy to talk about what we want to talk about.
We could leave them just as they are, requiring faces to be polygons, and edges to be straight; but then since cylinders and cones have surfaces that are not faces, we need extra terms for those. Another possibility is to change the definitions to fit curved objects. We might require a face to be flat, but not necessarily a polygon, so that the circular bases of a cylinder would be faces, but the "curved surface" would not be. Or, we might call any surface a face.
The question would be, why do we need to use the terms?