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eccentricity

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eccentricity
eccentricity (ɛksɛnˈtrɪsɪtɪ) [f. as prec. + -ity.] The state or quality of being eccentric, q.v. 1. The quality of being abnormally centred; of not being concentric; of not having the axis in the centre. † Orig. of planetary orbits: The fact of having the earth at a distance from the centre (Obs. ex... Oxford English Dictionary
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Eccentricity (behavior)
Eccentricity (also called quirkiness) is an unusual or odd behavior on the part of an individual. Eccentricity is also associated with great wealth — what would be considered signs of insanity in a poor person, some may accept as eccentricity in wealthy wikipedia.org
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eccentricity
eccentricity/ˌeksenˈtrɪsətɪ; ˌɛksɛn`trɪsətɪ/ n1 [U] quality of being eccentric; strangeness of behaviour, etc 古怪; 怪异; 怪僻等 eccentricity of style, clothing, manners, ideas 古怪的样式、 服装、 举止、 想法.2 [C] instance of this; strange or unusual act or habit 古怪; 怪异; 怪僻 One of his eccentricities is sleeping under t... 牛津英汉双解词典
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Eccentricity (mathematics)
Alternative names The eccentricity is sometimes called the first eccentricity to distinguish it from the second eccentricity and third eccentricity defined for the eccentricity and for the linear eccentricity. wikipedia.org
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Angular eccentricity
It may be defined in terms of the eccentricity, e, or the aspect ratio, b/a (the ratio of the semi-minor axis and the semi-major axis): Angular eccentricity Any non-dimensional parameter of the ellipse may be expressed in terms of the angular eccentricity. wikipedia.org
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Eccentricity of a vertex Eccentricity of a vertex $v$ in a graph $G$ is defined as max $\\{d(v,w):w\in V(G), w\ne v\\}$. My question is why is the word eccentricity used, what is the reason? Thanks
If a vertex lies on the perimeter of a graph, it will have high eccentricity, i.e. will be far away from the center.
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Horizontal eccentricity
Horizontal eccentricity refers to the horizontal axis, measured in degrees, along the visual field. The blind spot extends from an eccentricity d1 to eccentricity d2 in temporal direction from the fovea. wikipedia.org
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Significance of negative eccentricity For any conic section, the eccentricity is the ratio of the distance to the focus and directrix. If the eccentricity were defined to be negative, would this have any significant m...
If you make a plot of a conic section based on the eccentricity, it doesn't change at all. Nothing happens if you negate the eccentricity. formula for eccentricity#Values)
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Eccentricity vector
magnitude equal to the orbit's scalar eccentricity. vector to change continuously as opposed to the eccentricity and argument of periapsis parameters for which eccentricity zero (circular orbit) corresponds wikipedia.org
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Eccentricity of vertices in a regular graph I was just trying to find out the eccentricity of the vertices in regular graphs, given in the link < Surprisingly, eccentricity is the same in all graphs except < I checked...
Take $K_4$ and subdivide one edge (put a vertex of degree two in the middle of it). Now take two copies of the subdivided graph and add an edge joining the two vertices of valency two. This new graph is cubic on 10 vertices and the eccentricities range from 3 to 5. This construction is easy to gener...
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Orbital eccentricity
eccentricity vector ("Hamilton's vector"). Mean eccentricity The mean eccentricity of an object is the average eccentricity as a result of perturbations over a given time period. wikipedia.org
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Eccentricity of vertices in a graph when eccentricity of one vertex is given I have a very basic doubt. If a vertex in any graph has the eccentricity two, then what can be concluded about eccentricities of other verti...
The eccentricity of every other vertex can be $4$, as looking at a path of length $5$ will tell you (there, the third element has eccentricity of $2$, while the edges have an eccentricity of $4$).
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Eccentricity effect
The eccentricity effect is a visual phenomenon that affects visual search. 1 the eccentricity effect grew for greater eccentricities. wikipedia.org
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Increasing (or changing) the eccentricity of a vertex in a given graph. I considered a graph, path $P_8$ and added two more vertices such that eccentricity of two vertices is three and rest of the vertices have eccent...
[enter image description here]( Here, vertices $7$ and $9$ have eccentricity $3$ and the rest have eccentricity $4$. [enter image description here]( Above, vertices $1$ and $2$ have eccentricity $3$ and the rest have eccentricity $4$. !
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Eccentricity in weighted graph I want to know how to calculate the eccentricity of a vertex in a **weighted** graph, I know that when ever we talk about weighted graph if we want to calculate any distance we consi...
The usual definition of eccentricity of a vertex $v$ in an **unweighted** graph $G$ is the maximum over all distance from $v$ to vertices $w\in G$. Now define the eccentricity of a vertex $v$ as $$e_G(v)=\max_w d_G(v,w).$$ Not sure how widespread the use of this definition is but it seems to be a
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