Glossary entry (derived from question below)
English term or phrase:
connexity??
English answer:
"links", "linkages", "connections" etc.
Added to glossary by
Victor Potapov
Nov 28, 2004 20:29
19 yrs ago
English term
connexity??
English
Tech/Engineering
Mathematics & Statistics
dominant points detection
This is a paper about Dominant Points Detection:
"The curvature of a point is defined as the ratio between the tangent angle and the arc length. This definition cannot be used for a digital curve because there is no mathematical definition in this type of curve. The 8th connexity makes it impossible to replace the derivatives by first-order differences"
Does 8th connexity exist? And if so, what does it mean? Or should it be convexity?
thanks
xx
"The curvature of a point is defined as the ratio between the tangent angle and the arc length. This definition cannot be used for a digital curve because there is no mathematical definition in this type of curve. The 8th connexity makes it impossible to replace the derivatives by first-order differences"
Does 8th connexity exist? And if so, what does it mean? Or should it be convexity?
thanks
xx
Responses
+2
24 mins
Selected
"links", "linkages", "connections" etc.
There actually is such a term as "connexity" - it means "links", "linkages", "connections". It is used in mathematics (theory of groups, data sets etc.)
The last sentence "...makes it impossible to replace the derivatives by first-order differences.." means you cannot do one of mathematicians' favorite tricks - replace a derivative of a function with small change in value of the same function. This trick works most of the time - except in some very special cases (e.g. when the derivative does not exist, or the function is not defined in a particular point, etc.)
Just a WILD guess (better find a mathematician and ask him/her this question): your phrase "8th connexity" may be short for "connexity of the 8th order" - but please DO check this (e.g. with the author of this text) before using it in translation...
Good luck!
The last sentence "...makes it impossible to replace the derivatives by first-order differences.." means you cannot do one of mathematicians' favorite tricks - replace a derivative of a function with small change in value of the same function. This trick works most of the time - except in some very special cases (e.g. when the derivative does not exist, or the function is not defined in a particular point, etc.)
Just a WILD guess (better find a mathematician and ask him/her this question): your phrase "8th connexity" may be short for "connexity of the 8th order" - but please DO check this (e.g. with the author of this text) before using it in translation...
Good luck!
Peer comment(s):
agree |
Veronica Prpic Uhing
: Do you mean 8-connexity?
1 hr
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Frankly speaking I do not know a lot in this area - had a course of calculus/algebra 15 years ago...
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agree |
Mikhail Kropotov
: probably but still would be good to have a specialist in this area corroborate in toto
16 hrs
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Agree - äà õäå æ åãî âçÿòü?
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4 KudoZ points awarded for this answer.
Comment: "Graded automatically based on peer agreement."
+1
10 mins
I don't know but it should be "definition of" not definition in
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Discussion
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