Category:Mathematical exercise
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S
- Solution to mathematical exercise (23 pgs)
Pages in category "Mathematical exercise"
The following 200 pages are in this category, out of 1,032 total.
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A
- Achilles and the tortoise/Series/Exercise
- Alphabet/Difference set/Exercise
- Alternating geometric series/R/Modulus z below 1/Exercise
- Alternating series/Leibniz criterion/Coffee in student flat/Change of strategy/Exercise
- Alternating series/Leibniz criterion/Coffee in student flat/Exercise
- Alternating unit fractions/2 to 1 exchange/Convergence/Divergent reordering/Exercise
- Approximation/Cauchy principle/Exercise
- Arc-sine/Arc-cosine/Derivative/Exercise
- Archimedes-principle/Bacteria/Equator/Exercise
- Area/Below sine graph/Exercise
- Area/Between Parabola and -2x^2+3x+4/Exercise
- Arithmetic and geometric mean/Estimate/Exercise
- Arithmetic mean on lines/Not associative/Exercise
- Arithmetic mean/Program/Natural memory unit/Exercise
- Attention curve/-x^2+25x-100/Optimum of 8 to 18/Exercise
B
- Bahncard/Comparing costs/Exercise
- Base change/123/471/025 and 024/661/35-2/Point with coordinates 254/General/Exercise
- Base change/7-4/81 and 46/73/Point with coordinates -25/General/Exercise
- Base change/Standard basis in R^4/Example/Exercise
- Base change/Three bases/Composition/Fact/Proof/Exercise
- Base change/Transformation matrix/C/Standard basis and 3+5i 1-i/2+3i 4+i/Exercise
- Base change/Transformation matrix/R^4/Standard basis and permuted standard basis/Exercise
- Base change/Transformation matrix/Standard basis and 451/23-8/57-3/Exercise
- Base change/Transformation matrix/Sums/Exercise
- Bernoulli inequality/Exponent is 3/Where wrong/Exercise
- Bike ride/Average velocity/Exercise
- Biker/Turning of pedals/Comparison/Exercise
- Binomial coefficient/Incidence formula/Exercise
- Binomial coefficient/Natural number/Exercise
- Binomial coefficient/Sum in Pascal triangle/Fact/Proof/Exercise
- Binomial coefficient/Sum/Exercise
- Block matrix/Diagonal/Eigenvalues/Exercise
- Bounded interval/Continuous function/Equidistant lower integral/Lower integral/Exercise
- Bounded interval/Continuous image is not/Exercise
- Break up/Types of argumentation/Exercise
C
- Cave/Flashlight/Exercise
- Chain rule/R/Rational functionen/Confirm/Exercise
- Chain rule/R/x^2+5x-2 over x+1 and y-2 over y^2+3/Confirm/Exercise
- Chain rule/R/x^3+4x^2-1 and y^2-y+2/Confirm/Exercise
- Characteristic polynomial/Companion matrix/Exercise
- Characteristic polynomial/Compute/-385 471 2-45/Exercise
- Characteristic polynomial/Compute/253 742 375/Exercise
- Characteristic polynomial/Determinant/Exercise
- Characteristic polynomial/Eigenvalues and eigenspaces/27 54/Exercise
- Characteristic polynomial/Eigenvalues and eigenspaces/57 34/Exercise
- Characteristic polynomial/Insert and direct determinant/Exercise
- Characteristic polynomial/Multiplicities for all numbers/Q/3-45 0-12 003/Exercise
- Children/Schoolbreaks/Exercise
- Circle/Inscribed n-polygon/Approximation/Exercise
- Clock/6/Hands/Opposition/Exercise
- Clock/Minute- and second hand/Angle formula/Exercise
- Closed interval/Continuous image is not/Exercise
- Collatz sequence/Program/Exercise
- Collatz sequence/Starting with 100/Head/Exercise
- Collatz sequence/Summation/1/Exercise
- Compact interval/Monotone function/Riemann-integrable/Exercise
- Compact interval/Real function/Riemann integrable on partition/Fact/Proof/Exercise
- Complex and real partial fraction decomposition/1 over x^4-1/Exercise
- Complex and real partial fraction decomposition/Exercise form
- Complex Conjugation/Rules/Fact/Proof/Exercise
- Complex multiplication/Real determinant/Exercise
- Complex numbers/(1+i)^n/n up to 5/Exercise
- Complex numbers/Computation of square root/Explicite for b negative/Exercise
- Complex numbers/Computations/Exercise
- Complex numbers/Conjugation real part modulus/Fact/Proof/Exercise
- Complex numbers/Conjugation/Real part imaginary part/Fact/Proof/Exercise
- Complex numbers/Field/Fact/Proof/Exercise
- Complex numbers/Inverse element/Via real system/Exercise
- Complex numbers/Multiplication/Real matrix/Exercise
- Complex numbers/Quadratic equation has solution/Exercise
- Complex numbers/Real and imaginary part/Conjugation/Linearity/Exercise
- Complex numbers/Real and imaginary part/Properties/Fact/Proof/Exercise
- Complex numbers/Roots of x^3-1/Exercise
- Complex numbers/Rules for modulus/Exercise
- Complex numbers/Square root of i/etc/Exercise
- Complex numbers/z^2+5iz-3 is 0/Solve/Exercise
- Complex partial fraction decomposition/1 over x(x-1)(x-2)(x-3)/Exercise
- Complex partial fraction decomposition/1 over x^2(x^2+1)/Exercise
- Complex partial fraction decomposition/1 over x^3(x-1)^3/Exercise
- Complex partial fraction decomposition/1 over x^3-1/Exercise
- Complex partial fraction decomposition/x^3+4x^2+7 over x^2-x-2/Exercise
- Complex vector space/Finite dimensional/Real Basis/Exercise
- Composition/Continuous function followed by staircase function/No staircase function/Exercise
- Composition/Double names/Permutation of names/Exercise
- Composition/Polynomial example/1/Exercise
- Composition/Polynomial example/3/Exercise
- Composition/Staircase function followed by function/Staircase function/Exercise
- Cone/Linear form/Coprime/Exercise
- Cone/Two-dimensional/Edges/Signature/Exercise
- Connectedness of cities/Exercise
- Constant mapping/Characteristics/Exercise
- Continuity/D to R/Point/Unit fractions/Power of tens/Exercise
- Continuity/R/x sine 1 over x/Exercise
- Continuous function/Between two local maxima/Minimum/Exercise
- Continuous function/Bonded on bounded interval/No maximum/Example/Exercise
- Continuous function/Closed interval to itself/Fixed point/Exercise
- Continuous function/Closed interval to one-sided open/Not surjective/Exercise
- Continuous function/Closed interval to onesided open/Not surjective/Exercise
- Continuous function/Closed interval/Continuous continuation/Exercise
- Continuous function/Integral equality/Point equality/Exercise
- Continuous function/Intermediate value theorem/Value c/Exercise
- Continuous function/Neighborhood/Positive and negative/Exercise
- Continuous function/No series criterion/Exercise
- Continuous function/Q to R/Finitely many values/Not constant/Exercise
- Continuous function/R to R/Finitely many values/Constant/Exercise
- Continuous function/R/Computing laws/Epsilon-Delta/Exercise
- Continuous function/R/Rational in modulus/1/Exercise
- Continuous function/R/Unbounded on both sides/Surjective/Exercise
- Continuous function/Squeeze criterion/Exercise
- Continuous function/Sum of even and odd function/Exercise
- Continuous function/x sin 1 over x/On 0,1/Infinitely many zeroes/Exercise
- Continuous function/Zero test over integral with test functions/Exercise
- Continuous functions/Difference/Meeting point/Exercise
- Continuous functions/f(x) bigger g(x)/Neighborhood/Exercise
- Continuous real function/Approximation properties/Fact/Proof/Exercise
- Continuous real function/Crossing/Fixed point/Exercise
- Continuous real function/Positive/Positive in neighborhood/Exercise
- Continuous real function/Q to Q/Zero/Exercise
- Continuous real function/Strictly increasing/Q to Q/Zero/Exercise
- Continuous real function/Zero/Exercise
- Contradiction proof/Objection/Exercise
- Convergence/R/Negate/Exercise
- Convergent series in 0 1/Riemann-integrable function/Series of integrals to a n/Exercise
- Coordinate system/Orientation/Point/Exercise
- Coordinate system/Point/Operations/Exercise
- Cosine and sine/Enclosed area/Exercise
- Cubic equation/Solution/Check/Exercise
- Cubic polynomial/Continuity/Explicit/1/Exercise
- Cubic polynomial/Continuity/Explicit/2/Exercise
- Cup/Wildberg/Bayern München/Exercise
- Curve study/(2x+3) e to the power -x^2/Exercise
- Curve study/e to the power -1 over x/Exercise
- Curve study/e^(-2x)-2e^(-x)/x not negative/Morse potential/Exercise
- C^2/(2+7i,3-i) and (15+26i,13-7i)/Linearly independent/Exercise
- C^2/(2-7i,-3+2i) and (5+6i,3-17i)/Linearly independent/Exercise
D
- Decimal sequence/Primary school/Exercise
- Decimal sequence/Primary school/Mapping/Properties/Exercise
- Decreasing induction/Exam permission/Exercise
- Definite integral/2x^3+3e^x-sin x/-1 to 0/Exercise
- Definite integral/Computation/3x^2-5x+6/From -1 to 4/Exercise
- Definite integral/Computation/x sin x^2/Exercise
- Definite integral/Computation/x^2+3x-6 over x-1/From 2 to 5/Exercise
- Definite integral/Computation/x^3-2x^2-x+5 over x+1/From 1 to 7/Exercise
- Definite integral/Estimate for modulus/Exercise
- Definite integral/Exercise form
- Definite integral/e^(t^2)/From 0 to x/Equals 1/Exercise
- Definite integral/From 1 over n+1 to 1 over n/Exercise
- Definite integral/sqrt(x) - 1 over sqrt(x) +1 over (2x+3)-e^(-x)/1 to 4/Exercise
- Definite integral/Staircase function/Exercise form
- Derivation as operator/Linear/Eigenvectors/Exercise
- Derivation/Extension to localization/Exercise
- Derivation/Inverse function/False proof/Exercise
- Derivation/Lie-bracket/Multiplication/Exercise
- Derivative/(g(f(x)))^2f(g(x))/f is x^2-1 and g is x+2/Exercise
- Derivative/Direct/x^3+2x^2-5x+3/Exercise
- Derivative/pi^x+x^e/Exercise
- Derivative/R/Product of n functions/Exercise
- Determinant and volume/Area/Parallelogram/Exercise
- Determinant/3x3/Multilinarity/Direct/Exercise
- Determinant/3x3/Permutation matrices/Exercise
- Determinant/4x4-matrix/Compute/1/Exercise
- Determinant/4x4/Exercise
- Determinant/C/Compute/1+3i 5-i/3-2i 4+i/Exercise
- Determinant/C/Compute/1+i 3-2i 5/i 1 3-i/2i -4-i 2+i/Exercise
- Determinant/Compute/1 3 5/2 1 3/8 7 4/Exercise
- Determinant/Diagonal block matrix/Left lower block 0/Exercise
- Determinant/Elementary matrices/Exercise
- Determinant/Expansion for arbitrary row or column/Exercise
- Determinant/Inverting algorithm on general matrix/Exercise
- Determinant/Multiplication/2x2/Example/Exercise
- Determinant/Multiplication/3x3/Example/Exercise
- Determinant/Multiplication/5/Exercise
- Determinant/Recursive/Multilinear/Scalar/Exercise
- Determinant/Recursive/Upper triangular matrix/Diagonal product/Exercise
- Determinant/Several expansions/027/145/603/Exercise
- Diagonal matrix/Action/Exercise
- Diagonal matrix/Inverse matrix/2/Exercise
- Diagonal matrix/Linear system/Solution method/Exercise
- Different subsets in R^2/Sketch/4/Exercise
- Different subsets in R^2/Sketch/5/Exercise
- Differentiable function/D in R/Continuity in point/Fact/Proof2/Exercise
- Differentiable function/R/1 over g 1...g n/Derivation through Induction/Exercise
- Differentiable function/R/Higher derivatives/Positive/Zeroes/Exercise
- Differentiable function/R/Product rule/Function limit/Exercise
- Differentiable function/Same derivation/Same point/Exercise
- Differentiable functions/Higher intersection with diagonal/Derivation/Exercise
- Differentiable functions/Larger and derivative larger/Exercise
- Differential equation/Inhomogeneous linear/Separable variables/y' is ty+t/Exercise
- Differential equation/Separable variables/y' is 1 over sin y/Exercise
- Differential equation/Separable variables/y' is exp y/Exercise
- Differential equation/Separable variables/y' is ty/Exercise
- Differential equation/Separable variables/y' is ty^2 over t^2-1/Exercise
- Differential equation/Separable variables/y' is ty^2/Exercise
- Differential equation/Separable variables/y' is t^3y^3/Exercise
- Differential equation/Separable variables/y' is y/Exercise
- Differential equation/y' is y/Exercise