is a segment an infinite set of points?
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A segment is a bounded - also and frequently finite - portion of an infinite line. This is so, even if a segment contains an infinite number of points. ... The set of rational numbers between 0 and 1 belongs to a finite segment but, in itself, is infinite.
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A circle is defined by any three non-collinear points. This means that, given any three points that are not on the same line, you can draw a circle that passes through them.
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Points to Remember A ray starts from a point and goes to infinity. A line has no end points. A line segment has two endpoints.
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Points of inflection can also be categorized according to whether f′(x) is zero or not zero. A stationary point of inflection is not a local extremum. ... An example of a stationary point of inflection is the point (0,0) on the graph of y = x3. The tangent is the x-axis, which cuts the graph at this point.
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There is no reason why parallel line segments or perpendicular line segments can or cannot have specific lengths. So yes, they can.
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['Point. A point is basically a location or a position in space or on a plane. ... ', 'Angles. An angle is defined as the inclination of one line with respect to the other at the point of their intersection. ... ', 'Curve. A curve is a 1-dimensional entity which can be a straight line or a curved entity. ... ', 'Surface.']
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The set R of all real numbers is not compact as there is a cover of open intervals that does not have a finite subcover. For example, intervals (n−1, n+1) , where n takes all integer values in Z, cover R but there is no finite subcover.
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End Point. more ... Any of the two furthest points on a line segment. (Or generally any of the furthest points on anything.) See: Line Segment.
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Focal length of a plane mirror is infinity. (A plane mirror can be considered as a spherical mirror of infinite radius of curvature. Focal length is half of radius of curvature and hence it is infinity.
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The distance between two points is the length of the line segment connecting them. Note that the distance between two points is always positive. Segments that have equal length are called congruent segments.
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The irrational numbers between 1 and 6 are uncountably infinite. No sequence indexed by natural numbers can list all of them.
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['A straight line segment may be drawn from any given point to any other.', 'A straight line may be extended to any finite length.', 'A circle may be described with any given point as its center and any distance as its radius.', 'All right angles are congruent.']
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Definition of an Infinite Set. An infinite set is a set whose elements can not be counted. An infinite set is one that has no last element.
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A line segment has two endpoints. It contains these endpoints and all the points of the line between them. You can measure the length of a segment, but not of a line. ... A ray is a part of a line that has one endpoint and goes on infinitely in only one direction.
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This is the graph of . ... Not quite; if we look really close at x = -1, we see a hole in the graph, called a point of discontinuity. The line just skips over -1, so the line isn't continuous at that point. It's not as dramatic a discontinuity as a vertical asymptote, though.
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Discrete data have finite values, or buckets. You can count them. Continuous data technically have an infinite number of steps, which form a continuum.
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A point x in X is a limit point of S if every neighbourhood of x contains at least one point of S different from x itself." Definition of Boundary: "Let S be a subset of a topological space X. ... Consider the set S′=[0,1] in R with the usual topology. 0.5 is a limit point but NOT a boundary point of S′.