https://liberty.io/show-that-for-all-real-numbers-a-and-b-ab-le-1-2-a-2-b-2-duplicate.htmlBuzz Spill Dailyen2026-08-12T05:15:22-04:00Show that for all real numbers $a$ and $b$, $\,\, ab \le (1/2)(a^2+b^2)$ [duplicate]https://liberty.io/using-square-area-finding-quadrilateral-area.htmlBuzz Spill Dailyen2026-08-12T05:11:23-04:00Using Square area finding quadrilateral areahttps://liberty.io/difference-between-factorization-theorem-and-fischer-neymann-theorem-f.htmlBuzz Spill Dailyen2026-08-12T05:09:15-04:00Difference between Factorization theorem and Fischer-Neymann theorem for t to be sufficient estimator of $\theta$https://liberty.io/where-039-s-the-error-in-this-2-1-fake-proof-duplicate.htmlBuzz Spill Dailyen2026-08-12T04:57:55-04:00Where's the error in this $2=1$ fake proof? [duplicate]https://liberty.io/total-injective-relations-are-always-functions.htmlBuzz Spill Dailyen2026-08-12T04:56:35-04:00Total injective relations are always functions?https://liberty.io/is-there-a-way-to-solve-sin-x-x.htmlBuzz Spill Dailyen2026-08-12T04:53:31-04:00Is there a way to solve $\sin(x)=x$?https://liberty.io/euler-and-the-factorial-function.htmlBuzz Spill Dailyen2026-08-12T04:51:05-04:00Euler and the factorial functionhttps://liberty.io/asymptote-of-a-line.htmlBuzz Spill Dailyen2026-08-12T04:50:22-04:00Asymptote of a line?https://liberty.io/properties-of-triangles-that-have-3-equal-120-degree-angles-around-an-.htmlBuzz Spill Dailyen2026-08-12T04:40:22-04:00Properties of triangles that have 3 equal 120 degree angles around an internal pointhttps://liberty.io/projection-of-ellipsoid.htmlBuzz Spill Dailyen2026-08-12T04:23:59-04:00Projection of ellipsoidhttps://liberty.io/what-is-a-covering-set-of-a-sierpinski-number-what-does-it-do.htmlBuzz Spill Dailyen2026-08-12T04:16:36-04:00What is a covering set of a Sierpinski number? What does it do?https://liberty.io/when-given-the-dimensions-of-a-cylinder-a-x-b-x-c-what-does-each-lette.htmlBuzz Spill Dailyen2026-08-12T04:12:59-04:00When given the dimensions of a cylinder (A x B x C) what does each letter represent?https://liberty.io/choose-a-coefficient-so-that-the-system-of-equations-has-exactly-one-s.htmlBuzz Spill Dailyen2026-08-12T04:12:31-04:00Choose a coefficient so that the system of equations has exactly one solutionhttps://liberty.io/why-does-trapezoidal-rule-have-potential-error-greater-than-midpoint.htmlBuzz Spill Dailyen2026-08-12T04:07:36-04:00Why does Trapezoidal Rule have potential error greater than Midpoint?https://liberty.io/a-place-to-learn-about-math-etymology.htmlBuzz Spill Dailyen2026-08-12T03:58:08-04:00A place to learn about math etymology?https://liberty.io/integer-coefficients-of-cubic-equation-imply-integer-roots.htmlBuzz Spill Dailyen2026-08-12T03:55:33-04:00Integer coefficients of cubic equation imply integer rootshttps://liberty.io/in-classical-geometry-why-is-a-line-considered-to-be-parallel-to-itsel.htmlBuzz Spill Dailyen2026-08-12T03:54:20-04:00In classical geometry why is a line considered to be parallel to itself? [duplicate]https://liberty.io/find-difference-between-a-positive-and-a-negative-number.htmlBuzz Spill Dailyen2026-08-12T03:47:31-04:00Find % difference between a positive and a negative numberhttps://liberty.io/prove-the-median-of-a-uniform-distributions-is-frac-1-2-a-b.htmlBuzz Spill Dailyen2026-08-12T03:33:43-04:00Prove the median of a uniform distributions is $\frac{1}{2}(a+b)$https://liberty.io/getting-a-hermite-polynomial-expansion-of-gaussian-with-given-variance.htmlBuzz Spill Dailyen2026-08-12T03:32:26-04:00Getting a Hermite polynomial expansion of Gaussian with given variance.https://liberty.io/parallelogram-constructed-through-medians.htmlBuzz Spill Dailyen2026-08-12T03:06:59-04:00Parallelogram constructed through medianshttps://liberty.io/what-is-the-practical-difference-between-a-differential-and-a-derivati.htmlBuzz Spill Dailyen2026-08-12T03:06:25-04:00What is the practical difference between a differential and a derivative?https://liberty.io/sum-of-perfect-cubes-formula-proof-without-induction-duplicate.htmlBuzz Spill Dailyen2026-08-12T03:03:40-04:00sum of perfect cubes formula proof without induction [duplicate]https://liberty.io/integral-of-d-2y-dx-2-dy.htmlBuzz Spill Dailyen2026-08-12T03:03:29-04:00Integral of $(d^2y/dx^2) dy$https://liberty.io/union-and-difference-of-convex-set.htmlBuzz Spill Dailyen2026-08-12T02:37:20-04:00union and difference of convex sethttps://liberty.io/integrate-e-2x-sin-x.htmlBuzz Spill Dailyen2026-08-12T02:31:59-04:00Integrate $e^{-2x}\sin(x)$https://liberty.io/how-to-prove-sum-frac-1-n-1-1-n-is-divergent.htmlBuzz Spill Dailyen2026-08-12T02:25:59-04:00how to prove $\sum {\frac{1}{n^{1+1/n}}}$ is divergenthttps://liberty.io/complex-analysis-trigonometric-conjugate.htmlBuzz Spill Dailyen2026-08-12T02:25:08-04:00Complex analysis - Trigonometric conjugatehttps://liberty.io/graph-of-negative-exponential-function.htmlBuzz Spill Dailyen2026-08-12T02:20:16-04:00Graph of negative exponential functionhttps://liberty.io/limit-approaching-infinity-of-sine-function.htmlBuzz Spill Dailyen2026-08-12T02:17:33-04:00Limit approaching infinity of sine functionhttps://liberty.io/what-039-s-an-isomorphism.htmlBuzz Spill Dailyen2026-08-12T02:13:33-04:00What's an Isomorphism?https://liberty.io/why-is-the-chain-rule-applied-to-derivatives-of-trigonometric-function.htmlBuzz Spill Dailyen2026-08-12T02:10:18-04:00Why is the chain rule applied to derivatives of trigonometric functions?https://liberty.io/reflexive-graph-meaning-of-the-reflection.htmlBuzz Spill Dailyen2026-08-12T01:57:46-04:00Reflexive graph, meaning of the reflectionhttps://liberty.io/leibniz-convergence-test.htmlBuzz Spill Dailyen2026-08-12T01:56:17-04:00Leibniz convergence testhttps://liberty.io/hadamard-039-s-inequality-proof.htmlBuzz Spill Dailyen2026-08-12T01:55:24-04:00Hadamard's inequality proofhttps://liberty.io/elliptical-version-of-pythagoras-theorem.htmlBuzz Spill Dailyen2026-08-12T01:52:00-04:00Elliptical version of Pythagoras’ Theorem?https://liberty.io/continuous-mapping-on-a-compact-metric-space-is-uniformly-continuous.htmlBuzz Spill Dailyen2026-08-12T01:49:58-04:00Continuous mapping on a compact metric space is uniformly continuoushttps://liberty.io/how-do-we-find-the-value-of-x-where-the-tangent-line-to-f-x-is-horizon.htmlBuzz Spill Dailyen2026-08-12T01:19:24-04:00How do we find the value of $x$ where the tangent line to $f(x)$ is horizontal?https://liberty.io/uniform-convergence-problem-of-sequences-of-functions.htmlBuzz Spill Dailyen2026-08-12T01:16:01-04:00Uniform convergence problem of sequences of functionshttps://liberty.io/algorithm-of-tree-partition.htmlBuzz Spill Dailyen2026-08-12T01:09:29-04:00Algorithm of tree partitionhttps://liberty.io/why-is-the-distance-between-two-circles-spheres-that-don-039-t-interse.htmlBuzz Spill Dailyen2026-08-12T01:09:25-04:00Why is the distance between two circles/spheres that don't intersect minimised at points that are in the line formed by their centers?https://liberty.io/why-are-the-two-probabilities-in-the-monty-hall-problem-dependent-on-e.htmlBuzz Spill Dailyen2026-08-12T00:50:25-04:00Why are the two probabilities in the Monty Hall problem dependent on each other?https://liberty.io/get-rid-of-the-square-roots-of-the-denominator-dfrac-1-sqrt-7-2-sqrt-5.htmlBuzz Spill Dailyen2026-08-12T00:47:41-04:00Get rid of the square roots of the denominator: $\dfrac{1}{\sqrt{7}-2\sqrt{5}+\sqrt{3}}$https://liberty.io/rudin-039-s-principles-of-mathematical-analysis-or-apostol-039-s-mathe.htmlBuzz Spill Dailyen2026-08-12T00:46:57-04:00Rudin's Principles of Mathematical Analysis or Apostol's Mathematical Analysis?https://liberty.io/diagonally-dominant-matrix-by-rows-and-or-by-columns.htmlBuzz Spill Dailyen2026-08-12T00:43:05-04:00Diagonally dominant matrix by rows and/or by columnshttps://liberty.io/what-does-p-to-q-mean-in-propositional-logic.htmlBuzz Spill Dailyen2026-08-12T00:38:04-04:00What does -p to -q mean in propositional logic?https://liberty.io/find-all-irreducible-monic-polynomials-in-mathbb-z-2-x-with-degree-equ.htmlBuzz Spill Dailyen2026-08-12T00:18:18-04:00Find all irreducible monic polynomials in $\mathbb{Z}/(2)[x]$ with degree equal or less than 5https://liberty.io/integrating-the-area-of-a-quarter-circle.htmlBuzz Spill Dailyen2026-08-12T00:16:12-04:00Integrating the area of a quarter-circlehttps://liberty.io/integrate-int-frac-1-sqrt-x-2-1-dx.htmlBuzz Spill Dailyen2026-08-12T00:15:16-04:00integrate $\int \frac{1}{\sqrt{x^2 - 1}} \, dx$https://liberty.io/compounded-interest-differential-equation.htmlBuzz Spill Dailyen2026-08-12T00:13:53-04:00Compounded Interest Differential Equationhttps://liberty.io/proof-by-induction-involving-factorials.htmlBuzz Spill Dailyen2026-08-12T00:11:42-04:00Proof by induction Involving Factorialshttps://liberty.io/how-is-the-dot-product-of-two-cartesian-unit-vectors-equal-to-the-kroe.htmlBuzz Spill Dailyen2026-08-12T00:01:28-04:00How is the dot product of two cartesian unit vectors equal to the Kroencker delta?https://liberty.io/example-of-non-compact-set-for-rationals.htmlBuzz Spill Dailyen2026-08-11T23:48:43-04:00example of non compact set for rationalshttps://liberty.io/evaluating-int-0-infty-frac-arctan-x-2-ln-1-x-4-x-x-8-x-4-1-mathrm-dx.htmlBuzz Spill Dailyen2026-08-11T23:44:16-04:00Evaluating $\int_0^\infty \frac{\arctan (x^2) \ln(1+x^4)}{x(x^8+x^4+1)} \mathrm dx$https://liberty.io/unequal-circles-within-circle-with-least-possible-radius.htmlBuzz Spill Dailyen2026-08-11T23:43:12-04:00Unequal circles within circle with least possible radius?https://liberty.io/how-do-i-solve-this-analytically-3-x-9x.htmlBuzz Spill Dailyen2026-08-11T23:33:36-04:00How do I solve this analytically $3^x=9x$https://liberty.io/is-there-a-general-solution-to-the-water-bucket-logic-problem-duplicat.htmlBuzz Spill Dailyen2026-08-11T23:29:51-04:00Is there a general solution to the water-bucket logic problem? [duplicate]https://liberty.io/how-to-understand-conjugate-points-on-a-riemannian-manifold.htmlBuzz Spill Dailyen2026-08-11T23:18:12-04:00How to understand conjugate points on a Riemannian manifold?https://liberty.io/trying-to-understand-polar-coordinate-vectors.htmlBuzz Spill Dailyen2026-08-11T23:03:47-04:00Trying to understand polar coordinate vectorshttps://liberty.io/how-to-find-one-endpoint-with-the-other-end-point-and-a-point-1-3-away.htmlBuzz Spill Dailyen2026-08-11T22:56:38-04:00How to find one endpoint with the other end point and a point 1/3 away from ithttps://liberty.io/how-to-find-the-area-bounded-by-two-curves.htmlBuzz Spill Dailyen2026-08-11T22:53:02-04:00How to find the area bounded by two curves?https://liberty.io/proving-an-inequality-using-the-cauchy-schwarz-inequality-with-a-given.htmlBuzz Spill Dailyen2026-08-11T22:52:29-04:00proving an inequality using the cauchy-schwarz inequality with a given conditionhttps://liberty.io/what-039-s-the-least-positive-integer-that-is-not-a-factor-of-25-and-i.htmlBuzz Spill Dailyen2026-08-11T22:40:53-04:00What's the least positive integer that is not a factor of 25! and is not a prime number?https://liberty.io/how-to-find-the-determinant-of-a-matrix-using-the-pa-lu-method.htmlBuzz Spill Dailyen2026-08-11T22:11:57-04:00How to find the determinant of a matrix using the PA = LU method.https://liberty.io/conjugates-of-complex-numbers.htmlBuzz Spill Dailyen2026-08-11T22:11:08-04:00Conjugates of complex numbershttps://liberty.io/how-do-i-simplify-the-expression-a-1-b-1-1-closed.htmlBuzz Spill Dailyen2026-08-11T22:07:01-04:00How do I simplify the expression (a^-1 + b^-1) ^-1? [closed]https://liberty.io/composite-trapezoidal-rule-and-simpson-rule-question.htmlBuzz Spill Dailyen2026-08-11T22:06:12-04:00Composite trapezoidal rule and Simpson rule question?https://liberty.io/circle-puzzle-geometry.htmlBuzz Spill Dailyen2026-08-11T22:05:41-04:00Circle Puzzle Geometryhttps://liberty.io/chain-rule-partial-derivatives-dw-dt.htmlBuzz Spill Dailyen2026-08-11T22:00:38-04:00Chain Rule - Partial Derivatives - dw/dthttps://liberty.io/writing-a-general-formula-for-nth-derivative-of-cos-ax.htmlBuzz Spill Dailyen2026-08-11T21:55:20-04:00Writing a general formula for nth derivative of $\cos(ax)$https://liberty.io/multiplying-reciprocal-fractions-with-exponents.htmlBuzz Spill Dailyen2026-08-11T21:54:59-04:00Multiplying reciprocal fractions with exponentshttps://liberty.io/what-039-s-the-difference-between-early-transcendentals-and-late-trans.htmlBuzz Spill Dailyen2026-08-11T21:45:10-04:00What's the difference between early transcendentals and late transcendentals?https://liberty.io/what-is-the-base-of-log-x-duplicate.htmlBuzz Spill Dailyen2026-08-11T21:43:37-04:00What is the base of $\log x$? [duplicate]https://liberty.io/why-does-the-mandelbrot-shape-show-up-in-other-fractals.htmlBuzz Spill Dailyen2026-08-11T21:41:21-04:00Why does the Mandelbrot shape show up in other fractals?https://liberty.io/how-many-subsets-does-the-set-1-2-3-n-have-that-contain-no-three-conse.htmlBuzz Spill Dailyen2026-08-11T21:38:43-04:00How many subsets does the set {1,2,3,...n} have that contain no three consecutive integers? Find a recurrencehttps://liberty.io/cyclic-and-circular-permutation-are-they-different-concepts.htmlBuzz Spill Dailyen2026-08-11T21:37:26-04:00"Cyclic" and "Circular" permutation - Are they different concepts?https://liberty.io/good-books-on-complex-numbers.htmlBuzz Spill Dailyen2026-08-11T21:36:52-04:00Good books on complex numbershttps://liberty.io/if-we-have-a-n-times-n-and-ax-xa-a-how-do-we-show-that-det-a-0.htmlBuzz Spill Dailyen2026-08-11T21:07:46-04:00If we have $A_{n \times n}$ and $AX-XA=A$, how do we show that $\det(A)=0$?https://liberty.io/calculate-the-divergence-of-the-polar-coordinate-vector-field-partial-.htmlBuzz Spill Dailyen2026-08-11T21:05:21-04:00Calculate the divergence of the polar coordinate vector field $\partial_\phi$ [closed]https://liberty.io/probability-of-guessing-m-m-colors-correctly.htmlBuzz Spill Dailyen2026-08-11T21:05:21-04:00Probability of guessing M&M colors correctlyhttps://liberty.io/infinite-countable-union-of-finite-sets.htmlBuzz Spill Dailyen2026-08-11T21:00:46-04:00Infinite countable union of finite setshttps://liberty.io/definition-of-bounded-set-in-mathbb-r-n.htmlBuzz Spill Dailyen2026-08-11T20:58:16-04:00Definition of bounded set in $\mathbb{R}^n$https://liberty.io/what-is-wrong-with-my-derivation-of-the-exponential-form-of-sinh-x.htmlBuzz Spill Dailyen2026-08-11T20:56:38-04:00What is wrong with my derivation of the exponential form of $\sinh(x)$https://liberty.io/using-matlab-to-find-the-max-elements-and-their-positions-closed.htmlBuzz Spill Dailyen2026-08-11T20:52:26-04:00Using MATLAB to find the max elements and their positions [closed]https://liberty.io/how-many-points-are-necessary-to-determine-a-cube-in-3-dimensions.htmlBuzz Spill Dailyen2026-08-11T20:47:44-04:00how many points are necessary to determine a cube in 3 dimensionshttps://liberty.io/if-s-is-a-multiple-of-both-a-and-b-then-s-is-a-multiple-of-operatornam.htmlBuzz Spill Dailyen2026-08-11T20:47:32-04:00If $s$ is a multiple of both $a$ and $b$, then $s$ is a multiple of $\operatorname{lcm}(a,b)$https://liberty.io/denomination-of-cards-probability.htmlBuzz Spill Dailyen2026-08-11T20:44:49-04:00denomination of cards probabilityhttps://liberty.io/finding-product-of-maxterms-form.htmlBuzz Spill Dailyen2026-08-11T20:36:08-04:00Finding Product-of-Maxterms Formhttps://liberty.io/is-there-an-english-translation-of-diophantus-039-s-arithmetica-availa.htmlBuzz Spill Dailyen2026-08-11T20:35:58-04:00Is there an English translation of Diophantus's Arithmetica available?https://liberty.io/is-it-possible-to-have-a-spherical-object-with-only-hexagonal-faces.htmlBuzz Spill Dailyen2026-08-11T20:31:28-04:00Is it possible to have a spherical object with only hexagonal faces?https://liberty.io/system-of-equations-has-no-solution.htmlBuzz Spill Dailyen2026-08-11T20:29:53-04:00System of equations has no solutionhttps://liberty.io/why-does-1-0-5-equal-2-duplicate.htmlBuzz Spill Dailyen2026-08-11T20:18:18-04:00Why does $1/0.5$ equal $2$? [duplicate]https://liberty.io/the-caret-symbol-means-exponentiation-informally-in-math-why-not-a-sym.htmlBuzz Spill Dailyen2026-08-11T20:17:02-04:00The caret ^ symbol means exponentiation informally in math. Why not a symbol for log too? [closed]https://liberty.io/how-to-evaluate-the-gradient-of-a-function-at-a-point.htmlBuzz Spill Dailyen2026-08-11T20:14:47-04:00How to evaluate the gradient of a function at a pointhttps://liberty.io/how-to-determine-the-periods-of-a-periodic-function.htmlBuzz Spill Dailyen2026-08-11T20:04:19-04:00How to determine the periods of a periodic function?https://liberty.io/matrix-columns-vs-rows.htmlBuzz Spill Dailyen2026-08-11T20:03:52-04:00Matrix Columns VS Rowshttps://liberty.io/angle-measure-angles-in-standard-position-is-it-a-useless-term.htmlBuzz Spill Dailyen2026-08-11T20:00:20-04:00Angle Measure: Angles in Standard Position, is it a useless term?https://liberty.io/what-is-the-meaning-of-mean-field.htmlBuzz Spill Dailyen2026-08-11T19:54:52-04:00What is the meaning of "mean-field"?https://liberty.io/orthogonal-position-and-velocity-vectors.htmlBuzz Spill Dailyen2026-08-11T19:44:25-04:00Orthogonal Position and Velocity Vectorshttps://liberty.io/lower-bound-on-tail-probabilities.htmlBuzz Spill Dailyen2026-08-11T19:44:08-04:00Lower bound on Tail Probabilities