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Science
/ Advanced D & Es of mathematics
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Can you name the advanced math terms beginning with D & E?
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Advanced ABC's of mathematics
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1st letter/# words
Term
Hint
D (1)
10th and 90th percentiles of a data set.
D (2)
The limit of a Riemann sum as the norm of the partition approaches zero.
D (1)
A 'triangle' formed by three collinear points, would be called this.
D (2)
For {x: 0 < |x – a| < δ}; the set of all numbers less than δ units away from a, omitting the number a itself.
D (2)
∇
D (2)
Formula to find powers & roots of complex numbers; for any real x & any integer n, (cosx + isinx)
^{n}
= cos(nx) + isin(nx).
D (4)
The maximum number of positive zeros for a polynomial = the number of sign changes.
D (1)
An tiny or Infinitesimal change in the value of a variable.
D (2)
Angle formed by intersecting planes.
D (1)
A set with elements that are disconnected.
D (1)
Compound statement joining 2 simple statements with 'OR'.
D (1)
The union of a circle and its interior.
D (1)
To fail to approach a finite limit.
D (1)
A polyhedron with 12 faces.
1st letter/# words
Term
Hint
D (2)
A geometric figure made up of two right circular cones placed apex to apex.
E (1)
Ratio: distance from the center of an ellipse to a focus / distance from center to a vertex.
E (1)
For two given points, the foci, the locus of points such that the sum of the distance to each focus is constant.
E (1)
A sphere-like surface for which all cross-sections are ellipses.
E (2)
Non-Euclidean geometry, no parallel lines.
E (2)
Any relation that satisfies the reflexive, symmetric, and transitive properties.
E (2)
A discontinuity that is not removable.
E (1)
Greek author of Elements.
E (2)
Line segment passing through a triangle’s orthocenter, centroid, & circumcenter.
E (2)
e
^{iπ}
+ 1 = 0
E (2)
A function in which the dependent variable can be written explicitly in terms of the independent variable.
E (3)
A theorem which guarantees the existence of an absolute max and an absolute min for any continuous function over a closed interval.
E (1)
An extreme value of a function; either relative (local) or absolute (global).
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