Category:Mathematical example
Pages in category "Mathematical example"
The following 200 pages are in this category, out of 204 total.
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C
- C/Cx/Exponential mapping/Isomorphism theorem/Example
- Change of basis/R^2/Standard and 12,-23/Example
- Characteristic polynomial/0 5 1 0/Eigenvalues/Example
- Characteristic polynomial/2 5 -3 4/Eigenvalues/Eigenspaces/Example
- Chess/Bishop/Equivalence classes/Example
- Cohen-Macaulay/Finite projective dimension/Transport of cohomology/Regular/Example
- Cohen-Macaulay/Parameter/Koszul-resolution/Transport of cohomology/Cech/Example
- Complex numbers/Polar coordinates/Angle naive/Example
- Complex numbers/Real/Two-dimensional/Example
- Composition/Polynomial/Example
- Continuous functions/Interval/C-valued/Inner product/Example
- Convergent series/Not absolutely convergent/Alternating series of unit fractions/Value/Example
- Cosets/Additive case/Z and vector space/Example
- Cramer's rule/2x2/1/Example
- Cyclic group/Canonical representation/Example
- Cyclic group/Z mod n/Example
D
- Derivation/Linear/Example
- Derivative of inverse function/Square root/Example
- Derivative of inverse function/Third root/Example
- Derivative/R/Affine-linear function/Directly/Example
- Derivative/R/Squaring/Directly/Example
- Determinant/2x2/Example
- Determinant/3x3/Sarrus/Example
- Diagonal matrix/Eigenvalues/Example
E
- E 8-equation/x not in (y,z)^*/Forcing algebra/Example
- Eigentheory/R/One-dimensional/Elementary/Example
- Eigentheory/R^2/Elementary/Example
- Electrical network/System of linear equations/Introduction/Example
- Endomorphism/Restriction to generalized eigenspace/Nilpotent/Example
- Equivalence relation by mapping/R/Floor/Digits/Example
- Equivalence relation/Equality with respect to a property/Example
- Equivalence relation/Equality/Example
- Equivalence relation/Fiber of a mapping/Example
- Equivalence relation/N times N/Jumps (2,0) and (3,3)/Example
- Equivalence relation/Real projective space/Example
- Equivalence relation/Symmetric accessibility relation/Example
F
- Fermat cubic/Syz (x^2,y^2,z^2)/Strongly semistable/Example
- Fermat cubic/xyz in (x^2,y^2,z^2)^*/Cohomological proof/Example
- Fermat cubic/z not in tight closure of (x,y)/Example
- Fermat cubic/z^2 in tight closure of (x,y)/Example
- Fermat equation/x^2 in (y,z)^*/Forcing algebra/Several characteristics/Example
- Fermat quartic/Hilbert-Kunz/Dependence on characteristic/Example
- Fermat quartic/Syz (x,y,z)/Characteristic 3/Semistable, not strongly semistable/Example
- Field/Polynomial ring/Not finitely generated/Example
- Field/Set of mappings/Vector space/Example
- Field/Seven elements/Introduction/Example
- Field/Two elements/Example
- Finite permutation/1/Example
- Flat function/exp -1 by x/Taylor series/Example
- Forcing algebra/Regular ring/Roberts/Example
- Forcing equation/Line/Example
- Forcing equation/Plane/Monomial parameter situation/Example
- Fruit salad/Minerals and vitamins/Example
- Fruit salad/Minerals and vitamins/Table and matrix/Linear system/Example
G
- General and special linear group/Determinant/Isomorphism theorem/Example
- Group homomorphism/Determinant/Example
- Group homomorphism/Homomorphism theorem/Residue class groups of Z/Example
- Group homomorphism/R to C/e^it/Kernel and image/Example
- Group homomorphism/Sign/Example
- Group homomorphism/Z to Z mod d/Directly/Example
- Group homomorphism/Z to Z/Example
- Group isomorphism/Real exponential function/Example
H
I
- Identity/Matrix to basis/Transformation matrix/Example
- Indexed set family/Multiples of n/Example
- Indexed set family/Natural numbers starting with n/Example
- Indexed set family/Nested intervals/Example
- Integer numbers/Construction from natural numbers/Example
- Integral/Powers of sine/Recursion/Example
- Integration/Substitution/General examples/Example
- Intermediate value theorem/Turn around table/Example
- Intermediate value theorem/x^3-4x+2/Bisection method/Example
- Invertible matrix/Find inverse matrix/Table/Method/131/412/011/Example
K
- Koch snowflake/Recursive/Description/Area convergence and length divergence/Example
- Koch snowflake/Recursive/Description/Example
- K^n/ith projection/Linear mapping/Example
- K^n/Linear form/Example
- K^n/Linear form/Price/Example
- K^n/Linear subspace/Sum is 0/Basis/Example
- K^n/Maximum norm/Example
- K^n/Standard basis/Dual basis/Example
- K^n/Sum norm/Example
- K^n/Vector as linear combination of vectors/System of linear equations/Example
L
- Limit/sqrt(x+4)-2/x/Example
- Linear form/Analysis/Example
- Linear inhomogeneous system of equations/Elimination/2x+5y+2z-v, 3x-4y+u+2v, 4x -2z+2u/Example
- Linear inhomogeneous system/Elimination/2x+5y+2z-v is 3, 3x-4y+u+2v is 1, 4x -2z+2u is 7/Example
- Linear mapping/Dimension formula/R/011022134246/Example
- Linear mapping/Fiber/Affine subspace/Kernel/Example
- Linear mapping/Matrix/Standard spaces/Example
- Linear mapping/One-dimensional/Proportionality and rule of three/Example
- Linear subspace/Dual space/1/Example
- Linear system/Homogeneous and inhomogeneous/Affine space/1/Example
- Linear system/Solution space/Orthogonal space/Example
- Linearly independent/(3,3,3), (0,4,5), (4,8,9)/Example
M
- Mapping/Football game/Goal scorer/Example
- Mapping/Mother of/Example
- Mapping/Squaring/Image and preimage/Example
- Mapping/Squaring/Injective and surjective/Example
- Matrices/Inner automorphisms/Base change/Example
- Matrix/2x2/Shearing matrices/Eigenvalues and diagonalizable/Example
- Matrix/2x2/Shearing matrices/Eigenvalues/Example
- Matrix/2x2/Shearing/Characteristic polynomial/Example
- Matrix/31-11/Trigonalizable/Similar/Example
- Matrix/Eigenvalues/0510/Q and R/Example
- Matrix/Eigenvalues/0510/R/Change of basis and diagonalization/Example
- Matrix/K^n to K^m/Linear mapping/Example
- Matrix/Nilpotent/Total Jordan block/Basis vectors/Example
- Matrix/Nilpotent/Typical form/Example
- Matrix/R/Mapping/Example
- Metric space/Subset/Metric space/Example
- Minimal polynomial/2x2/Upper triangular matrix/Nilpotent/Example
- Minimal polynomial/Diagonal matrix/Different entries/Example
- Minimal polynomial/Homothety/Example
N
P
- Permuation matrix/3-cycle/Characteristic polynomial/Coprime factorization/Direct sum/Example
- Permutation group S3/Subgroups and normal subgroup/Example
- Permutation matrix/3-cycle/Invariant linear subspace/Minimal polynomial/Example
- Permutation/246531/Inversions and sign/Example
- Plane/Lines/Number of intersection points/Example
- Plane/Parallel lines/Equivalence classes/Example
- Plane/Vector space/Intuitive/Example
- Planes in space/Equations 4x-2y-3z is 5, 3x-5y+2z is 1/Intersection line/Example
- Polynomial ring in one variable/Integral closure and submersion/Example
- Polynomial ring in two variables/Monomial examples/Integral closure and submersion/Example
- Polynomial ring/Basis/Example
- Polynomial/Bezout/X^2+X+1 and X-1/Example
- Polynomial/Euclidean division/(4+3i)x^3+x^2+5i over (1+i)x^2+x -3+2i/Example
- Polynomial/Euclidean division/6x^3+x+1 over 3x^2+2x-4/Example
- Primitive function and Riemann-Integral/1 over x sin 1 over x^2/Example
- Primitive function/Arctan/Via inverse function/Example
- Primitive function/Logarithm/Example
- Primitive function/Square root of x^2-1/Example
- Primitive function/x^2 over (x cos x -sin x)^2/Example
- Product set/Chess board/Example
- Product set/Circle and line/Cylinder/Example
- Product set/First and last name/Example
- Purchase and price tuple/Duality/Motivation/Example
R
- R mod Z2 pi/Isomorphism theorem/Example
- R to R/Linear/Mapping/Example
- Rational sequence/Convergence/R/Example
- Real function/Continuous/Constant/Identity/Example
- Real function/Indicator function not negative/Not continuous/Example
- Real matrix/2x2/Trigonalizability via characteristic polynomial/Example
- Real numbers/1 over 3/Sequence of decimal expansions/Example
- Real numbers/Bounded, not convergent sequence/pm 1/Example
- Real numbers/Constant sequence/Example
- Real numbers/Unit fractions/Example
- Real plane/Polar coordinates/Angle naive/Example
- Real series/Inverse of squares/Convergence/Example
- Real series/Sum 1 over k(k+1)/Example
- Riemann integral/x^2 of 0 to 1/Explicit via step integrals/Example
- R^2/(2,1),(-1,3)/Dual basis/Standard dual basis/Example
- R^3/Cross product/Computation/1/Example
- R^3/Kernel of 2x+3y-z/Orthonormal basis/Gram-Schmidt/Example
- R^3/Projection image/Linear mapping/Example
- R^3/Standard projections/Example
- R^n/Orthogonal complement/Example
- R^n/Standard inner product/Example
S
- Set of mappings/Properties of composition/Example
- Space/Cylindrical coordinates/Angle naive/Example
- Space/Plane equation/Example for sets/Example
- Space/Plane equation/Example intersection/Example
- Space/Plane equation/Example intersection/R/Example
- Speed of sound/Temperature/Root/Example
- Square root of 5/Heron's method/Motivating example/R/Example
- Standard vectors/Basis from linearly independent/Example
- Standard vectors/Linearly independent/Example
T
- Three-dimensional standard quadric/Not affine/Example
- Tight closure/Arithmetic deformation/Brenner Katzman/Example
- Tight closure/Generic bound/n is 4/a is 10/Example
- Tight closure/Generic bound/Parameter situation/Example
- Tight closure/x^4,y^4,xy^3/On P^1 and other curves/Example
- Triangular matrix/Characteristic polynomial/Eigenvalues/Example
- Two masses/Movement/Difference between the potential energy/Example
- Two reflections at axes/Composition not diagonalizable/Example
U
V
- Vector bundle/A^1/Punctured affine plane/Forcing algebra/Variant 1/Example
- Vector space/Basis/Index partition/Direct sum/Example
- Vector space/Basis/Subbasis/Orthogonal space/Example
- Vector space/Basis/Subfamily/Projection/Example
- Vector space/Complex numbers as real vector space/Example
- Vector space/Introductory example/Mulled wine/Example
- Vector space/K^n component wise/Example
- Vector space/mxn-matrices/Example
- Vector space/Polynomials/Quick/Example