CZ:Core Articles/Natural Sciences: Difference between revisions
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imported>David E. Volk (→Chemistry - Stage 3: Now stage 4) |
imported>Jitse Niesen (→Mathematics - Stage 3: add fields (idea stolen from biology), sort, remove spectral theorem and Brownian motion which were mentioned twice) |
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#[[Mathematics]] * | # [[Mathematics]] * | ||
#[[Number]] | # <small>''Elementary''</small> [[Number]] | ||
#[[ | # <small>''Elementary''</small> [[Integer]] * | ||
#[[ | # <small>''Elementary''</small> [[Fraction]] (or: rational number) | ||
#[[ | # <small>''Elementary''</small> [[Addition]] | ||
#[[ | # <small>''Elementary''</small> [[Multiplication]] | ||
#[[ | # <small>''Elementary''</small> [[Rational function]] | ||
#[[ | # <small>''Elementary''</small> [[Linear equation]] | ||
#[[ | # <small>''Elementary''</small> [[Quadratic equation]] | ||
#[[ | # <small>''Elementary''</small> [[Cubic equation]] | ||
#[[ | # <small>''Geometry''</small> [[Angle]] | ||
#[[ | # <small>''Geometry''</small> [[Triangle]] | ||
#[[ | # <small>''Geometry''</small> [[Circle]] | ||
#[[ | # <small>''Geometry''</small> [[Pythagoras' theorem]] | ||
#[[ | # <small>''Geometry''</small> [[Conic sections]] | ||
#[[ | # <small>''Geometry''</small> [[Parabola]] | ||
# <small>''Geometry''</small> [[Differential geometry]] | |||
#[[Differential geometry]] | # <small>''Topology''</small> [[Borel set]] | ||
#[[ | # <small>''Calculus''</small> [[Trigonometry]] | ||
#[[Trigonometry]] | # <small>''Calculus''</small> [[Trigonometric function]] * | ||
#[[Trigonometric function]] * | # <small>''Calculus''</small> [[Arccos]] | ||
#[[ | # <small>''Calculus''</small> [[Arcsin]] | ||
#[[ | # <small>''Calculus''</small> [[Arctan]] | ||
#[[ | # <small>''Calculus''</small> [[Cartesian coordinate]] | ||
#[[ | # <small>''Calculus''</small> [[e]] | ||
#[[ | # <small>''Calculus''</small> [[Exponential function]] | ||
#[[ | # <small>''Calculus''</small> [[Special functions]] | ||
#[[ | # <small>''Calculus''</small> [[Polar coordinate]] | ||
#[[ | # <small>''Calculus''</small> [[Limit]] | ||
#[[ | # <small>''Calculus''</small> [[Differential calculus]] | ||
#[[ | # <small>''Calculus''</small> [[Derivative]] | ||
#[[ | # <small>''Calculus''</small> [[Partial derivative]] | ||
#[[ | # <small>''Calculus''</small> [[Jacobian matrix]] | ||
#[[ | # <small>''Calculus''</small> [[Fundamental Theorem of Calculus]] | ||
#[[ | # <small>''Calculus''</small> [[Convolution]] | ||
#[[ | # [[Analysis]] | ||
#[[ | # <small>''Analysis''</small> [[Mean value theorem]] | ||
#[[ | # <small>''Analysis''</small> [[Taylor's theorem]] | ||
#[[ | # <small>''Analysis''</small> [[Harmonic analysis]] | ||
#[[ | # <small>''Analysis''</small> [[Harmonic function]] | ||
#[[ | # <small>''Analysis''</small> [[Harnack inequality]] | ||
#[[ | # <small>''Analysis''</small> [[Fourier transform]] | ||
#[[ | # <small>''Analysis''</small> [[Laplace transform]] | ||
#[[ | # <small>''Analysis''</small> [[Jensen's inequality]] | ||
#[[ | # <small>''Analysis''</small> [[Approximation theory]] | ||
#[[ | # <small>''Analysis''</small> [[Borel measure]] | ||
#[[ | # <small>''Analysis''</small> [[Lebesgue measure]] | ||
#[[ | # <small>''Analysis''</small> [[Lebesgue integral]] | ||
#[[ | # <small>''Analysis''</small> [[Haar measure]] | ||
#[[ | # <small>''Compl. anal.''</small> [[de Moivre's identity]] | ||
#[[ | # <small>''Compl. anal.''</small> [[Euler formula]] | ||
#[[ | # <small>''Compl. anal.''</small> [[Complex logarithm]] | ||
#[[ | # <small>''Compl. anal.''</small> [[Complex exponentiation]] | ||
#[[ | # <small>''Compl. anal.''</small> [[Holomorphic function]] | ||
#[[ | # <small>''Compl. anal.''</small> [[Cauchy-Riemann equations]] | ||
#[[ | # <small>''Compl. anal.''</small> [[Pole (mathematics)]] | ||
#[[ | # <small>''Compl. anal.''</small> [[Meromorphic function]] | ||
#[[ | # <small>''Compl. anal.''</small> [[Residue]] | ||
#[[ | # <small>''Compl. anal.''</small> [[Cauchy's integral theorem]] | ||
#[[ | # <small>''Compl. anal.''</small> [[Cauchy's integral formula]] | ||
#[[ | # <small>''Compl. anal.''</small> [[Residue theorem]] | ||
#[[ | # <small>''Compl. anal.''</small> [[Contour integral]] | ||
#[[ | # <small>''Compl. anal.''</small> [[Analytic continuation]] | ||
#[[ | # [[Functional analysis]] | ||
#[[ | # <small>''Func. anal.''</small> [[Banach space]] | ||
#[[ | # <small>''Func. anal.''</small> [[Hölder's inequality]] | ||
{{col-break|width=33%}} | {{col-break|width=33%}} | ||
#[[ | # <small>''Func. anal.''</small> [[Dirac delta function]] | ||
#[[ | # <small>''Func. anal.''</small> [[Distribution (mathematics)]] | ||
#[[ | # <small>''Func. anal.''</small> [[Tempered distribution]] | ||
#[[ | # <small>''Func. anal.''</small> [[Generalized function]] | ||
#[[ | # <small>''Func. anal.''</small> [[Sobolev space]] | ||
#[[ | # <small>''Func. anal.''</small> [[Operator theory]] | ||
#[[ | # <small>''Func. anal.''</small> [[Dual space]] | ||
#[[ | # <small>''Func. anal.''</small> [[Adjoint]] | ||
#[[ | # <small>''Func. anal.''</small> [[Self-adjoint operator]] | ||
#[[ | # <small>''Func. anal.''</small> [[Riesz representation theorem]] | ||
#[[ | # <small>''Func. anal.''</small> [[Baire category thoerem]] | ||
#[[ | # <small>''Diff. eqns''</small> [[Ordinary differential equation]] | ||
#[[ | # <small>''Diff. eqns''</small> [[Linear differential equation]] | ||
#[[ | # <small>''Diff. eqns''</small> [[First order ordinary differential equation]] | ||
#[[ | # <small>''Diff. eqns''</small> [[Second order ordinary differential equation]] | ||
#[[ | # <small>''Diff. eqns''</small> [[Partial differential equation]] | ||
#[[ | # <small>''Diff. eqns''</small> [[Laplace equation]] | ||
#[[ | # <small>''Diff. eqns''</small> [[Poisson's equation]] | ||
#[[ | # <small>''Diff. eqns''</small> [[Poisson kernel]] | ||
#[[ | # <small>''Diff. eqns''</small> [[Dirichlet problem]] | ||
#[[ | # <small>''Diff. eqns''</small> [[Boundary value problem]] | ||
#[[ | # [[K-theory]] | ||
#[[ | # <small>''Algebra''</small> [[Cauchy-Schwarz inequality]] | ||
#[[ | # <small>''Algebra''</small> [[Quadratic form]] | ||
#[[ | # <small>''Algebra''</small> [[Abelian group]] | ||
#[[ | # <small>''Algebra''</small> [[Lie group]] | ||
#[[ | # <small>''Algebra''</small> [[Lie algebra]] | ||
#[[ | # [[Linear algebra]] | ||
#[[ | # <small>''Linear algebra''</small> [[Vector]] | ||
#[[ | # <small>''Linear algebra''</small> [[Tensor]] | ||
#[[ | # <small>''Linear algebra''</small> [[System of linear equations]] | ||
#[[ | # <small>''Linear algebra''</small> [[Gram-Schmidt orthogonalization]] | ||
#[[ | # <small>''Matrix theory''</small> [[Matrix]] | ||
#[[ | # <small>''Matrix theory''</small> [[Matrix inverse]] | ||
#[[ | # <small>''Matrix theory''</small> [[Determinant]] | ||
#[[ | # <small>''Matrix theory''</small> [[Spectral theorem]] | ||
#[[ | # <small>''Matrix theory''</small> [[Stochastic matrix]] | ||
#[[ | # [[Set theory]] | ||
#[[ | # <small>''Set theory''</small> [[Cartesian product]] | ||
#[[ | # <small>''Set theory''</small> [[Supremum]] | ||
#[[Russell's paradox]] | # <small>''Set theory''</small> [[Infimum]] | ||
#[[ | # <small>''Set theory''</small> [[Russell's paradox]] | ||
#[[ | # <small>''Set theory''</small> [[Banach-Tarski paradox]] | ||
#[[ | # <small>''Set theory''</small> [[Continuum]] | ||
#[[ | # <small>''Set theory''</small> [[Continuum hypothesis]] | ||
#[[ | # <small>''Set theory''</small> [[Axiom of choice]] | ||
#[[ | # <small>''Set theory''</small> [[Aleph-0]] | ||
#[[ | # <small>''Set theory''</small> [[Function]] | ||
#[[ | # <small>''Set theory''</small> [[Bijection]] | ||
# | # <small>''Set theory''</small> [[Inverse function]] | ||
# <small>''Set theory''</small> [[Characteristic function]] | |||
#[[ | # <small>''Logic''</small> [[Mathematical proof]] | ||
#[[ | # <small>''Logic''</small> [[Gödel's incompleteness theorem]] | ||
#[[ | # <small>''Logic''</small> [[Boolean algebra]] | ||
#[[ | # [[Probability theory]] | ||
#[[ | # <small>''Probability''</small> [[Statistics]] | ||
#[[ | # <small>''Probability''</small> [[Mean]] | ||
#[[ | # <small>''Probability''</small> [[Variance]] | ||
#[[ | # <small>''Probability''</small> [[Covariance]] | ||
#[[ | # <small>''Probability''</small> [[Moment (mathematics)]] | ||
#[[ | # <small>''Probability''</small> [[Moment-generating function]] | ||
#[[ | # <small>''Probability''</small> [[Cauchy distribution]] | ||
#[[ | # <small>''Probability''</small> [[Normal distribution]] * | ||
#[[ | # <small>''Probability''</small> [[Free probability]] | ||
#[[ | # <small>''Probability''</small> [[Quantum probability]] | ||
#[[ | # <small>''Probability''</small> [[Stochastic calculus]] | ||
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# <small>''Probability''</small> [[Itô calculus]] | |||
#[[ | # <small>''Probability''</small> [[Stochastic differential equation]] | ||
#[[ | # <small>''Probability''</small> [[Chapman-Kolmogorov equation]] | ||
#[[ | # <small>''Probability''</small> [[Brownian motion]] | ||
#[[ | # <small>''Probability''</small> [[Martingale]] | ||
#[[ | # <small>''Probability''</small> [[Gamma process]] | ||
#[[ | # <small>''Probability''</small> [[Lévy process]] | ||
#[[ | # <small>''Probability''</small> [[Markov process]] | ||
#[[ | # <small>''Probability''</small> [[Markov chain]] | ||
#[[ | # <small>''Probability''</small> [[Ornstein-Uhlenbeck process]] | ||
#[[ | # <small>''Probability''</small> [[Point process]] | ||
# | # <small>''Probability''</small> [[Poisson process]] | ||
# <small>''Probability''</small> [[Random walk]] | |||
#[[ | # <small>''Applied''</small> [[Dynamical system]] | ||
#[[ | # <small>''Applied''</small> [[Game theory]] | ||
#[[ | # <small>''Applied''</small> [[Numerical analysis]] | ||
#[[ | # <small>''Applied''</small> [[Mathematical physics]] | ||
#[[ | # [[Discrete mathematics]] | ||
#[[ | # <small>''Discr. maths''</small> [[Graph theory]] | ||
#[[ | # <small>''Number theory''</small> [[Fermat's last theorem]] | ||
#[[ | # <small>''History''</small> [[Augustin Louis Cauchy]] | ||
#[[ | # <small>''History''</small> [[Pierre-Simon Laplace]] | ||
#[[ | # <small>''History''</small> [[Joseph Fourier]] | ||
#[[ | # <small>''History''</small> [[Euclid]] | ||
#[[ | # <small>''History''</small> [[Leonhard Euler]] | ||
#[[ | # <small>''History''</small> [[Carl Friedrich Gauss]] | ||
#[[ | # <small>''History''</small> [[David Hilbert]] | ||
#[[ | # <small>''History''</small> [[Gottfried Leibniz]] | ||
#[[ | # <small>''History''</small> [[Bernhard Riemann]] | ||
#[[ | # <small>''History''</small> [[John von Neumann]] | ||
#[[ | # <small>''History''</small> [[Blaise Pascal]] | ||
#[[ | # <small>''History''</small> [[Siméon Denis Poisson]] | ||
#[[ | # <small>''History''</small> [[Henri Poincaré]] | ||
#[[ | |||
# | |||
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#[[Complex analysis]] | # [[Complex analysis]] | ||
#[[Geometry]] | # [[Geometry]] | ||
#[[Number theory]] | # [[Number theory]] | ||
#[[Pi]] | # [[Pi]] | ||
#[[Integral | # [[Integral]] | ||
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# [[Set]] | |||
# [[Real number]] | |||
# [[Prime number]] | |||
# [[Complex number]] | |||
# [[Differential equation]] | |||
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# [[Polynomial]] | |||
# [[Group (mathematics)]] | |||
# [[Line (geometry)]] | |||
# [[Fundamental Theorem of Algebra]] | |||
{{col-end}} | {{col-end}} | ||
Revision as of 16:16, 10 January 2008
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Astronomy - Stage 4
- (10) = worth this number of points * = external, to replace or rewrite ** = micro-stub
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Biology - Stage 4
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Chemistry - Stage 4
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Earth sciences - Stage 6
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Mathematics - Stage 3
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Physics - Stage 3
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