https://liberty.io/cardinality-of-union-of-3-sets.htmlBuzz Spill Dailyen2026-08-11T12:52:28-04:00Cardinality of union of 3 setshttps://liberty.io/continuity-is-required-for-differentiability.htmlBuzz Spill Dailyen2026-08-11T12:48:10-04:00Continuity is required for differentiability?https://liberty.io/how-to-round-0-45-is-it-0-or-1.htmlBuzz Spill Dailyen2026-08-11T12:47:14-04:00How to round 0.45? Is it 0 or 1?https://liberty.io/how-was-this-approximation-of-pi-involving-sqrt-5-arrived-at.htmlBuzz Spill Dailyen2026-08-11T12:46:58-04:00How was this approximation of $\pi$ involving $\sqrt{5}$ arrived at?https://liberty.io/measurable-space-vs-measure-space.htmlBuzz Spill Dailyen2026-08-11T12:46:20-04:00Measurable Space VS Measure Spacehttps://liberty.io/using-conjugates-to-find-a-limit-with-a-cubic-root-lim-h-to-0-frac-sqr.htmlBuzz Spill Dailyen2026-08-11T12:45:30-04:00Using conjugates to find a limit with a cubic root: $\lim_{h\to 0}\frac{\sqrt[3]{h+1}-1}{h}$https://liberty.io/039-imperfect-039-numbers.htmlBuzz Spill Dailyen2026-08-11T12:40:07-04:00'imperfect' numbershttps://liberty.io/proof-with-double-counting.htmlBuzz Spill Dailyen2026-08-11T12:29:16-04:00proof with double countinghttps://liberty.io/evans-pde-5-17.htmlBuzz Spill Dailyen2026-08-11T12:13:45-04:00Evans PDE $5.17$https://liberty.io/eliminate-xy-term-of-conic.htmlBuzz Spill Dailyen2026-08-11T12:12:11-04:00Eliminate xy term of conichttps://liberty.io/proving-the-universal-mapping-property-for-polynomial-rings.htmlBuzz Spill Dailyen2026-08-11T12:09:12-04:00Proving the universal mapping property for polynomial ringshttps://liberty.io/proof-verification-if-the-diagonals-of-a-parallelogram-are-congruent-t.htmlBuzz Spill Dailyen2026-08-11T12:07:36-04:00Proof Verification: If the diagonals of a parallelogram are congruent, then the parallelogram is a rectanglehttps://liberty.io/convolution-of-two-gaussians-is-a-gaussian.htmlBuzz Spill Dailyen2026-08-11T11:58:58-04:00Convolution of two Gaussians is a Gaussianhttps://liberty.io/user-basanta-raj-pahari-mathematics-stack-exchange.htmlBuzz Spill Dailyen2026-08-11T11:55:27-04:00User Basanta Raj Pahari - Mathematics Stack Exchangehttps://liberty.io/intuition-behind-the-ilate-rule.htmlBuzz Spill Dailyen2026-08-11T11:47:51-04:00Intuition behind the ILATE rulehttps://liberty.io/how-is-the-gradient-of-exponential-functions-with-different-bases-in-t.htmlBuzz Spill Dailyen2026-08-11T11:39:34-04:00How is the gradient of exponential functions with different bases (in the included table) worked out?https://liberty.io/a-question-concerning-an-exercise-from-tao-vu.htmlBuzz Spill Dailyen2026-08-11T11:30:34-04:00A question concerning an exercise from Tao Vuhttps://liberty.io/line-integral-vs-arc-length.htmlBuzz Spill Dailyen2026-08-11T11:12:57-04:00Line integral vs Arc Lengthhttps://liberty.io/what-does-it-mean-for-a-matrix-to-be-nearly-singular.htmlBuzz Spill Dailyen2026-08-11T11:01:03-04:00What does it mean for a matrix to be nearly singular?https://liberty.io/convert-rectangular-coordinate-3-0-to-polar-coordinate.htmlBuzz Spill Dailyen2026-08-11T11:00:44-04:00convert rectangular coordinate (-3,0) to polar coordinatehttps://liberty.io/finding-stagnation-points.htmlBuzz Spill Dailyen2026-08-11T10:59:39-04:00Finding Stagnation Pointshttps://liberty.io/how-to-calculate-the-surface-area-of-a-cube-given-a-diagonal.htmlBuzz Spill Dailyen2026-08-11T10:59:26-04:00How to calculate the surface area of a cube given a diagonal?https://liberty.io/how-do-i-get-the-square-root-of-a-complex-number.htmlBuzz Spill Dailyen2026-08-11T10:57:10-04:00How do I get the square root of a complex number?https://liberty.io/trigonometric-identities-like-a-sin-x-b-cos-y-cdots.htmlBuzz Spill Dailyen2026-08-11T10:35:56-04:00Trigonometric Identities Like $A \sin(x) + B \cos(y) = \cdots$https://liberty.io/platonic-solids-in-4d.htmlBuzz Spill Dailyen2026-08-11T10:29:46-04:00platonic solids in 4Dhttps://liberty.io/find-the-cosine-of-the-angle-abc.htmlBuzz Spill Dailyen2026-08-11T10:25:27-04:00find the cosine of the angle ABChttps://liberty.io/how-different-are-open-and-closed-intervals.htmlBuzz Spill Dailyen2026-08-11T10:24:59-04:00How different are open and closed intervals?https://liberty.io/is-there-a-category-of-categories.htmlBuzz Spill Dailyen2026-08-11T10:16:49-04:00Is there a category of categories?https://liberty.io/what-is-fog-x-f-g-x-f-x-fof-n-1-x-fog-2012-x-closed.htmlBuzz Spill Dailyen2026-08-11T10:12:26-04:00What is fog(x),f(g(x)),f"(x),fof^(n-1)(x), fog^2012(x)? [closed]https://liberty.io/int-1-sin-x-dx.htmlBuzz Spill Dailyen2026-08-11T10:11:31-04:00$\int 1/\sin(x)\ dx$https://liberty.io/winding-number-of-vector-field-on-surface.htmlBuzz Spill Dailyen2026-08-11T10:11:13-04:00Winding number of vector field on surfacehttps://liberty.io/average-area-of-the-shadow-of-a-convex-shape-closed.htmlBuzz Spill Dailyen2026-08-11T10:04:36-04:00Average area of the shadow of a convex shape [closed]https://liberty.io/ramsey-number-proof-r-3-3-3-3-leq-4-r-3-3-3-1-2.htmlBuzz Spill Dailyen2026-08-11T10:02:57-04:00Ramsey Number proof: $R(3,3,3,3)\leq 4(R(3,3,3)-1) + 2$https://liberty.io/need-help-with-solution-for-problem-a5-from-imo-2015-closed.htmlBuzz Spill Dailyen2026-08-11T10:00:42-04:00Need help with solution for problem A5 from IMO 2015 [closed]https://liberty.io/find-the-general-solution-to-the-ode.htmlBuzz Spill Dailyen2026-08-11T09:58:25-04:00Find the general solution to the ODE:https://liberty.io/how-to-prove-that-the-tangent-to-a-circle-is-perpendicular-to-the-radi.htmlBuzz Spill Dailyen2026-08-11T09:53:19-04:00How to prove that the tangent to a circle is perpendicular to the radius drawn to the point of contact?https://liberty.io/relation-betwen-coefficients-and-roots-of-a-polynomial-duplicate.htmlBuzz Spill Dailyen2026-08-11T09:49:15-04:00Relation betwen coefficients and roots of a polynomial [duplicate]https://liberty.io/determine-sqrt-1-50-cdot51-cdot52-cdot53-without-a-calculator.htmlBuzz Spill Dailyen2026-08-11T09:49:11-04:00Determine $\sqrt{1+50\cdot51\cdot52\cdot53}$ without a calculator?https://liberty.io/is-there-a-unique-minimal-expression-for-every-boolean-function.htmlBuzz Spill Dailyen2026-08-11T09:42:22-04:00Is there a unique minimal expression for every boolean function?https://liberty.io/prove-in-full-detail-that-the-set-is-a-vector-space.htmlBuzz Spill Dailyen2026-08-11T09:31:48-04:00Prove in full detail that the set is a vector spacehttps://liberty.io/physical-meaning-of-one-dimensional-heat-equation.htmlBuzz Spill Dailyen2026-08-11T09:25:25-04:00Physical meaning of one dimensional heat equation.https://liberty.io/is-the-absolute-value-function-a-linear-function.htmlBuzz Spill Dailyen2026-08-11T09:10:18-04:00Is the absolute value function a linear function?https://liberty.io/maximum-number-of-horizontal-asymptotes-of-a-rational-function.htmlBuzz Spill Dailyen2026-08-11T09:04:59-04:00Maximum Number of horizontal asymptotes of a Rational functionhttps://liberty.io/image-of-intersection-of-sects-not-equal-to-intersection-of-images-of-.htmlBuzz Spill Dailyen2026-08-11T09:02:14-04:00Image of Intersection of sects not equal to intersection of images of sets [duplicate]https://liberty.io/the-math-model-of-the-slot-machines-closed.htmlBuzz Spill Dailyen2026-08-11T08:58:58-04:00the math model of the slot machines [closed]https://liberty.io/convert-boolean-expression-into-sop-and-pos.htmlBuzz Spill Dailyen2026-08-11T08:54:43-04:00Convert boolean expression into SOP and POShttps://liberty.io/do-negative-dimensions-make-sense-duplicate.htmlBuzz Spill Dailyen2026-08-11T08:43:50-04:00Do negative dimensions make sense? [duplicate]https://liberty.io/what-is-milnor-fiber.htmlBuzz Spill Dailyen2026-08-11T08:41:57-04:00What is Milnor fiber?https://liberty.io/how-can-i-figure-out-what-size-shipping-box-i-need-based-on-multiple-d.htmlBuzz Spill Dailyen2026-08-11T08:39:06-04:00How can I figure out what size shipping box I need based on multiple different smaller boxes?https://liberty.io/dividing-100-pens-among-5-children-everyone-gets-an-odd-number-of-pens.htmlBuzz Spill Dailyen2026-08-11T08:35:41-04:00Dividing 100 pens among 5 children, everyone gets an odd number of pens: possible?https://liberty.io/what-is-a-tensor-product-chebyshev-grid.htmlBuzz Spill Dailyen2026-08-11T08:34:52-04:00What is a tensor-product Chebyshev grid?https://liberty.io/why-is-a-circle-1-dimensional.htmlBuzz Spill Dailyen2026-08-11T08:33:37-04:00Why is a circle 1-dimensional?https://liberty.io/independence-of-sigma-algebras-related-to-independence-of-random-varia.htmlBuzz Spill Dailyen2026-08-11T08:33:16-04:00Independence of $\sigma$-algebras related to independence of random variables/eventshttps://liberty.io/explaining-the-physical-meaning-of-an-eigenvalue-in-a-real-world-probl.htmlBuzz Spill Dailyen2026-08-11T08:23:09-04:00Explaining the physical meaning of an eigenvalue in a real world problemhttps://liberty.io/correct-method-of-proving-raabe-039-s-test.htmlBuzz Spill Dailyen2026-08-11T08:10:45-04:00Correct method of Proving Raabe's test?https://liberty.io/solve-int-sqrt-7x-4-dx.htmlBuzz Spill Dailyen2026-08-11T07:28:39-04:00Solve $\int \sqrt{7x + 4}\,dx$https://liberty.io/find-the-maclaurin-series-for-cos-2x-using-the-series-for-sin-2x.htmlBuzz Spill Dailyen2026-08-11T07:26:34-04:00Find the Maclaurin series for $\cos(2x)$ using the series for $\sin(2x) $.https://liberty.io/jacobi-symbol-of-quadratic-residues.htmlBuzz Spill Dailyen2026-08-11T07:19:39-04:00Jacobi symbol of quadratic residueshttps://liberty.io/proof-that-tree-n-where-n-3-is-finite.htmlBuzz Spill Dailyen2026-08-11T07:16:00-04:00Proof that TREE(n) where n >= 3 is finite?https://liberty.io/how-do-i-find-the-period-of-the-sine-function-y-20-sin-left-frac-5-pi-.htmlBuzz Spill Dailyen2026-08-11T07:07:52-04:00How do I find the period of the sine function $y = 20\sin\left[\frac{5 \pi}{2}\left(\frac{x -2}{5}\right)\right] + 100$https://liberty.io/q-rotation-matrix-preserving-properties.htmlBuzz Spill Dailyen2026-08-11T07:05:38-04:00Q: Rotation Matrix Preserving Properties?https://liberty.io/calculate-local-maximum-and-minimum-of-f-x-2-sin-x-5-sin-x.htmlBuzz Spill Dailyen2026-08-11T07:01:25-04:00Calculate local maximum and minimum of $f(x)=(2+\sin x)(5-\sin x)$https://liberty.io/set-with-no-elements.htmlBuzz Spill Dailyen2026-08-11T06:58:24-04:00Set with no elements!?https://liberty.io/possible-n-plus-r-question.htmlBuzz Spill Dailyen2026-08-11T06:57:16-04:00Possible N plus R questionhttps://liberty.io/derivative-rules.htmlBuzz Spill Dailyen2026-08-11T06:50:14-04:00Derivative ruleshttps://liberty.io/understanding-arctan-with-the-leibniz-series.htmlBuzz Spill Dailyen2026-08-11T06:43:22-04:00Understanding $\arctan$, with the Leibniz serieshttps://liberty.io/sum-of-two-pascal-random-variables.htmlBuzz Spill Dailyen2026-08-11T06:38:11-04:00Sum of Two Pascal Random Variableshttps://liberty.io/determine-cycle-from-adjacency-matrix.htmlBuzz Spill Dailyen2026-08-11T06:36:00-04:00Determine cycle from adjacency matrixhttps://liberty.io/why-is-e-eulers-constant-included-in-the-formula-for-continuous-intere.htmlBuzz Spill Dailyen2026-08-11T06:34:10-04:00Why is e (Eulers constant) included in the formula for continuous interest?https://liberty.io/can-the-volume-be-non-positive.htmlBuzz Spill Dailyen2026-08-11T06:27:38-04:00Can the volume be non positive?https://liberty.io/find-the-two-sided-p-value.htmlBuzz Spill Dailyen2026-08-11T06:25:42-04:00Find the two-sided P-valuehttps://liberty.io/calculus-integration-problem-int-sin-5-x-cos-2-x-dx.htmlBuzz Spill Dailyen2026-08-11T06:25:29-04:00Calculus integration problem: $\int \sin^5 (x) \cos^2 (x)\,dx$https://liberty.io/find-the-value-of-cos-2-pi-5-using-radicals-duplicate.htmlBuzz Spill Dailyen2026-08-11T06:20:22-04:00Find the value of $\cos(2\pi /5)$ using radicals [duplicate]https://liberty.io/what-does-the-relaxation-function-do-in-dijkstra-039-s-algorithm.htmlBuzz Spill Dailyen2026-08-11T06:02:16-04:00What does the relaxation function do in Dijkstra's algorithm?https://liberty.io/is-12-mod-13-the-same-as-1-mod-13.htmlBuzz Spill Dailyen2026-08-11T05:50:28-04:00Is 12(mod 13) the same as -1(mod 13)?https://liberty.io/we-have-a-box-with-100-screws-90-good-10-defective-what-is-the-prob-th.htmlBuzz Spill Dailyen2026-08-11T05:50:26-04:00We have a box with 100 screws (90 good 10 defective). 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What is the probability that at least one of them is a boy?https://liberty.io/show-1-sqrt-5-is-irreducible-in-mathbb-z-sqrt-5.htmlBuzz Spill Dailyen2026-08-11T05:36:23-04:00Show $1+\sqrt{5}$ is irreducible in $\mathbb{Z}[\sqrt{5}]$https://liberty.io/notation-for-summation-of-factorials.htmlBuzz Spill Dailyen2026-08-11T05:30:33-04:00Notation For Summation of Factorialshttps://liberty.io/law-of-total-variance-intuition.htmlBuzz Spill Dailyen2026-08-11T05:27:24-04:00Law of total variance intuitionhttps://liberty.io/form-of-the-particular-solution-for-odes.htmlBuzz Spill Dailyen2026-08-11T05:26:48-04:00Form of the Particular Solution for ODEshttps://liberty.io/how-to-factorize-quadratic-equations-quickly.htmlBuzz Spill Dailyen2026-08-11T05:12:46-04:00How to factorize quadratic equations quickly?https://liberty.io/gamma-function-identity-involving-5-4-3-4-1-4-and-pi.htmlBuzz Spill Dailyen2026-08-11T05:08:54-04:00Gamma function identity involving 5/4, 3/4, 1/4 and pihttps://liberty.io/schur-039-s-theorem-proof-for-ramsey-theory-misunderstanding.htmlBuzz Spill Dailyen2026-08-11T04:58:11-04:00Schur's Theorem proof for Ramsey Theory misunderstanding?https://liberty.io/what-exactly-goes-raising-a-number-to-a-fraction-mean.htmlBuzz Spill Dailyen2026-08-11T04:57:11-04:00What exactly goes raising a number to a fraction mean?https://liberty.io/domain-of-a-polynomial-function.htmlBuzz Spill Dailyen2026-08-11T04:57:04-04:00Domain of a Polynomial functionhttps://liberty.io/set-theory-proof-with-set-difference.htmlBuzz Spill Dailyen2026-08-11T04:56:43-04:00Set theory proof with set differencehttps://liberty.io/polynomial-coefficients-in-exponential-series-how-can-i-convert-this-i.htmlBuzz Spill Dailyen2026-08-11T04:53:13-04:00Polynomial coefficients in exponential-series: how can I convert this into a composite of $\exp(x)$?https://liberty.io/product-of-a-lipschitz-function-with-a-bounded-lipschitz-function-is-l.htmlBuzz Spill Dailyen2026-08-11T04:49:45-04:00Product of a Lipschitz function with a bounded Lipschitz function is Lipschitz?https://liberty.io/find-the-mathfrak-b-matrix-for-the-transformation-x-mapsto-ax-given-ma.htmlBuzz Spill Dailyen2026-08-11T04:39:11-04:00Find the $\mathfrak B$-matrix for the transformation $x\mapsto Ax$ given matrix $A$ and a set of vectors for $\mathfrak B$https://liberty.io/desmos-sin-wave-sum-shows-different-to-code.htmlBuzz Spill Dailyen2026-08-11T04:34:27-04:00Desmos sin wave sum shows different to codehttps://liberty.io/what-is-the-remainder-of-16-is-divided-by-19.htmlBuzz Spill Dailyen2026-08-11T04:25:39-04:00What is the remainder of $16!$ is divided by 19?https://liberty.io/a-3-regular-graph-must-have-a-subgraph-which-is-a-cycle-of-even-length.htmlBuzz Spill Dailyen2026-08-11T04:21:11-04:00A 3-regular graph must have a subgraph which is a cycle of even length?https://liberty.io/how-can-i-express-the-natural-logarithm-of-a-power-series-in-terms-of-.htmlBuzz Spill Dailyen2026-08-11T04:12:45-04:00How can I express the natural logarithm of a power series in terms of another power series?https://liberty.io/integrating-x-2e-x-using-feynman-039-s-trick-duplicate.htmlBuzz Spill Dailyen2026-08-11T04:06:55-04:00Integrating $x^2e^{-x}$ using Feynman's trick? [duplicate]https://liberty.io/formula-for-the-square-root-of-a-number.htmlBuzz Spill Dailyen2026-08-11T04:06:04-04:00Formula for the square root of a number?https://liberty.io/what-are-the-most-obscure-or-advanced-mathematics-with-practical-appli.htmlBuzz Spill Dailyen2026-08-11T04:01:03-04:00What are the most obscure or advanced mathematics with practical application