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What does "versus" mean in the context of a graph?
The answer (as is often the case) come from Latin. "versus" simply means against and is used in the sporting context as well. We say that in some contest "Team A versus team B", meaning team A is against team B. The graph is the same - one variable is plotted against (or versus) another. From the same cognate root we also get the English ...
How can I combine multiple functions into one to make a …
2024年5月26日 · How would I create such function that will draw this graph? And also a follow-up question: if such function exists, I reckon the values at $-2$ and $2$ will be undefined because the function is only valid in $\{x<-2, -2<x<2, x>2\}$ .
Which value goes on which axis in "plot $a$ against $b$"?
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Points on graph, some coloured in, some not - what do they mean?
2016年8月14日 · A hollow circle means a discontinuity caused by a specific point being taken off the graph. It could mean a removable discontinuity, or it could mean that the interval is open instead of closed. Wikipedia has a nice article partially explaining this topic, do take a look.
graphing functions - How to draw a specific graph on Cartesian …
2020年6月12日 · Say I am given this graph here that I want to replicate on LaTeX. There is no equation given. What is the fastest way of doing it? I am at beginner level when it comes to Tikz, but I don't mind learning other method too. Note: this picture is on a pdf file, which is why I can screenshot and post it here.
How to prove the block graph of any connected graph is a tree
2017年11月25日 · Suppose it is not the case that the block graph is a tree. In that scenario either the graph contains cycle or it is disconnected. From the above definition of a block graph, it is not possible to create a cycle since an edge can only exist between the two partite sets. Thus we need to show that the graph is not disconnected.
Understanding the Graph of a Multinomial Distribution
2021年10月11日 · The multinomial distribution graph in three dimensions seems to contain exactly the same information as the binomial distribution graph in two dimensions. In fact, the nonzero data can be seen (in the above example and in the Mathematica documentation) to be contained within a two-dimensional, diagonal slice of three-dimensional space.
What is the empty graph? - Mathematics Stack Exchange
2017年4月18日 · There are often "empty objects" in maths. For example, sets are vaguely thought of as "objects that contain things", and the empty set $\emptyset$ is the "set containing nothing". However, something I don't quite understand is the empty graph: The graph with no nodes and no edges. In the case of the empty set, you still have a concrete object.
combinatorics - Prove that a bipartite planar graph has a vertex of ...
2018年6月28日 · Every planar graph has a vertex of degree at most 5. 3. Showing that a graph is NOT planar. 1.
Equation of a curved line from a graph - Mathematics Stack …
The way to deal with a graph like this is to make a table of values (in this case, the nubmers that selected the red lines are two dimensions of the table, and the number at the bottom of the green line is the value in the table) and interpolate the output value between whatever set of input values you observe.