DEFINITIONS & CONCEPTS




The main purpose of this page is to help you locate key definitions and concepts that are used in this site. For more complete defintions, see the references.

A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z

A.
  • Additivity 3
  • Area of a convex set 7 , 12

B.
  • Bertrand's Experiment 2
  • Bertrand's Problem 2
  • Breadth 5
  • Buffon's Coin Experiment 1
  • Buffon's Needle Problem 1 , 10
  • Buffon's Needle Problem-general 18
  • Buffon-Laplace Needle Problem 3

C.
  • Cavlieri's Principle 12
  • Closed convex curve 5
  • Conditional probability 3
  • Constant breadth 5
  • Constant width 7
  • Contact conditions 6
  • Contact conditions, new and improved 6
  • Contact point 15
  • Continuous case 0
  • Convex 5
  • Convex hull 13
  • Convex set 5
  • Corner point 5
  • Countable additivity 3
  • Crofton's formula 11
  • Curvature 12
  • Cyclic pairs DF

D.
  • Density 6 , 8 , 15
  • Density of lines 10 , 11
  • Density for sets of strips 17
  • Diameter of a convex set 5
  • Dido's Problem 12
  • Differential forms DF
  • Discrete case 0
  • Discriminant set D 6

E.
  • Empirical Probability 0
  • Envelope curve 6
  • Event 3
  • Event Space 0 , 11
  • Expected value 3
  • Exterior Product DF
  • External cover 13

F.
  • F

G.
  • Generalized normal equation 5
  • Geometric Probability 0
  • Green's Theorem DF

H.
  • H

I.
  • Inner parallel set 7 , 22
  • Internal cover 13
  • Invariant 4 , 10 , 19
  • Invariant, right and left 19
  • Isoperimetric inequality 12

J.
  • J

K.
  • K-form DF
  • K-form, derivative of DF
  • (K+1)-form DF
  • Kinematic density 20 , 22
  • Kinematic measure 20

L.
  • Law of large numbers 1

M.
  • Measure 10 , 13
  • Minkowski sum 5
  • Mixed areas of Minkowski 5 , 7 , 22
  • Mixed convex sets 7 , 22

N.
  • Nested 5

O.
  • One-form DF
  • One-parameter family 6
  • Open set DF
  • Osculating circle 12
  • Outer parallel curve 5
  • Outer parallel set 5 , 7 , 22

P.
  • Parallel convex sets 5
  • Perimeter 5 , 7
  • Piecewise differentiable 5
  • Poincare 4
  • Point picking 16
  • Probability 3
  • Probability axioms 3
  • Probability of Ei 3
  • Probability measure 1

Q.
  • Q

R.
  • Radius of curvature 12 , 22
  • Random chord 14
  • Random experiment 1
  • Random variables 1
  • Rectifiable curve 23
  • Reflection 10
  • Regular point 6
  • Reuleaux polygons 5
  • Rigid motions 10 , 19
  • Rotations 10

S.
  • Sample Space 1 , 3 , 11
  • Signed area DF
  • Singular point 6
  • Spherical coordinates 16
  • Support function 5
  • Support lines 5 , 7
  • Support point 5 , 15

T.
  • Tangent 6 , 12
  • Theoretical Probability 0
  • Three-form DF
  • Total absolute curvature 12
  • Transformations that preserve area 4
  • Translation 10 , 19
  • Triple points 9
  • Two-form DF

U.
  • Uniformly distributed 1
  • Unit ball 5
  • Unit sphere 5

V.
  • V

W.
  • Wedge product DF
  • Wedge product for k-form DF
  • Width 5
  • Width function 5

X.
  • X

Y.
  • Y

Z.
  • Zero-form DF