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A dot chart or dot plot is a statistical chart consisting of data points plotted on a fairly simple scale, typically using filled in circles. There are two common, yet very different, versions of the dot chart. The first has been used in hand-drawn (pre-computer era) graphs to depict distributions going back to 1884. [1]
The dot product of any vector with itself is a non-negative real number, and it is nonzero except for the zero vector. However, the complex dot product is sesquilinear rather than bilinear, as it is conjugate linear and not linear in .
Dot plots are one of the simplest plots available, and are suitable for small to moderate sized data sets. They are useful for highlighting clusters and gaps, as well as outliers . Forest plot : is a graphical display that shows the strength of the evidence in quantitative scientific studies.
Let G be a graph with vertex set V. Let F be a field, and f a function from V to F k such that xy is an edge of G if and only if f(x)·f(y) ≥ t. This is the dot product representation of G. The number t is called the dot product threshold, and the smallest possible value of k is called the dot product dimension. [1]
A graph with three vertices and three edges. A graph (sometimes called an undirected graph to distinguish it from a directed graph, or a simple graph to distinguish it from a multigraph) [4] [5] is a pair G = (V, E), where V is a set whose elements are called vertices (singular: vertex), and E is a set of unordered pairs {,} of vertices, whose elements are called edges (sometimes links or lines).
The Fed’s dot plot is a chart updated quarterly that records each Fed official’s projection for the central bank’s key short-term interest rate, the federal funds rate. The dots reflect what ...
Another model, which generalizes Gilbert's random graph model, is the random dot-product model. A random dot-product graph associates with each vertex a real vector. The probability of an edge uv between any vertices u and v is some function of the dot product u • v of their respective vectors.
Definition and notation: If F : X → 2 Y is a set-valued function in a set Y then the graph of F is the set Gr F := { ( x , y ) ∈ X × Y : y ∈ F ( x ) } . Definition : A function f : X → Y can be canonically identified with the set-valued function F : X → 2 Y defined by F ( x ) := { f ( x ) } for every x ∈ X , where F is called the ...