https://liberty.io/how-to-find-the-boundary-conditions-of-the-differential-equation.htmlBuzz Spill Dailyen2026-08-18T02:13:51-04:00How to find the boundary conditions of the differential equation?https://liberty.io/what-are-the-units-of-cyclotomic-integers.htmlBuzz Spill Dailyen2026-08-18T02:12:01-04:00What are the units of cyclotomic integers?https://liberty.io/why-is-039-catastrophic-cancellation-039-called-so.htmlBuzz Spill Dailyen2026-08-18T02:04:55-04:00Why is 'catastrophic cancellation' called so?https://liberty.io/negative-mixed-fractions.htmlBuzz Spill Dailyen2026-08-18T01:59:17-04:00Negative mixed fractionshttps://liberty.io/how-many-ways-can-you-make-change-for-a-dollar.htmlBuzz Spill Dailyen2026-08-18T01:58:55-04:00How many ways can you make change for a dollar?https://liberty.io/chance-of-overlapping-events-in-milliseconds-per-day.htmlBuzz Spill Dailyen2026-08-18T01:52:06-04:00Chance of overlapping events in milliseconds per day.https://liberty.io/lax-wendroff-and-crank-nicolson-matlab-simulation-of-linear-advection.htmlBuzz Spill Dailyen2026-08-18T01:47:21-04:00Lax-Wendroff and Crank-Nicolson Matlab simulation of linear advectionhttps://liberty.io/find-the-extreme-values-of-the-given-function-subject-to-constraints-f.htmlBuzz Spill Dailyen2026-08-18T01:42:40-04:00Find the extreme values of the given function, subject to constraints $f(x,y) = y^2 - x^2 ; x^2 + y^2 = 36$https://liberty.io/solving-ode-problem-with-calculator.htmlBuzz Spill Dailyen2026-08-18T01:41:56-04:00Solving ODE problem with calculatorhttps://liberty.io/multivariable-limit-of-a-piecewise-function.htmlBuzz Spill Dailyen2026-08-18T01:36:57-04:00Multivariable limit of a piecewise functionhttps://liberty.io/why-is-the-graph-of-2logx-different-from-log-x-2-duplicate.htmlBuzz Spill Dailyen2026-08-18T01:30:07-04:00Why is the graph of 2logx different from log(x^2)? [duplicate]https://liberty.io/general-solution-of-the-differential-equation-in-explicit-form.htmlBuzz Spill Dailyen2026-08-18T01:11:07-04:00General solution of the differential equation in explicit formhttps://liberty.io/the-equation-1-x-2-frac-dy-dx-xy-x-2y-2.htmlBuzz Spill Dailyen2026-08-18T01:08:30-04:00The equation $(1+x)^2\frac{dy}{dx}-xy=x^2y^2$https://liberty.io/limits-as-x-approaches-one-from-the-left.htmlBuzz Spill Dailyen2026-08-18T00:57:00-04:00Limits as $x$ approaches one from the lefthttps://liberty.io/prove-that-sqrt-45-is-irrational-using-euclid-s-lemma.htmlBuzz Spill Dailyen2026-08-18T00:56:05-04:00Prove that $\sqrt{45}$ is irrational (using Euclid’s Lemma)https://liberty.io/how-do-i-use-interpolation-with-the-z-table.htmlBuzz Spill Dailyen2026-08-18T00:55:21-04:00How do I use interpolation with the Z table?https://liberty.io/find-the-value-of-sin-left-cos-1-frac-1-2-sin-1-frac-3-5-right.htmlBuzz Spill Dailyen2026-08-18T00:53:43-04:00Find the value of $\sin \left(\cos^{-1} (\frac {1}{2}) + \sin^{-1} (\frac {3}{5})\right)$https://liberty.io/partial-derivative-of-integral-leibniz-rule.htmlBuzz Spill Dailyen2026-08-18T00:40:42-04:00Partial derivative of integral: Leibniz rule?https://liberty.io/intuition-behind-an-integral-identity.htmlBuzz Spill Dailyen2026-08-18T00:40:35-04:00Intuition behind an integral identityhttps://liberty.io/volume-of-tetrahedron-using-cross-and-dot-product.htmlBuzz Spill Dailyen2026-08-18T00:34:01-04:00Volume of tetrahedron using cross and dot producthttps://liberty.io/how-is-a-decibel-a-tenth-of-a-bel.htmlBuzz Spill Dailyen2026-08-18T00:28:12-04:00How is a decibel a tenth of a Bel?https://liberty.io/why-does-the-higher-order-derivative-test-work.htmlBuzz Spill Dailyen2026-08-18T00:27:02-04:00Why does the higher order derivative test work?https://liberty.io/work-to-pump-water-from-a-cylindrical-tank.htmlBuzz Spill Dailyen2026-08-18T00:23:19-04:00Work to pump water from a cylindrical tankhttps://liberty.io/subtracting-multiple-logarithms.htmlBuzz Spill Dailyen2026-08-18T00:20:02-04:00Subtracting Multiple Logarithmshttps://liberty.io/is-the-equator-a-line.htmlBuzz Spill Dailyen2026-08-18T00:07:20-04:00Is the equator a line?https://liberty.io/what-is-an-empty-set.htmlBuzz Spill Dailyen2026-08-18T00:02:47-04:00What is an Empty set?https://liberty.io/dragon-curve-formula.htmlBuzz Spill Dailyen2026-08-17T23:51:13-04:00Dragon Curve Formulahttps://liberty.io/is-determinant-of-matrix-multiplied-its-transpose-always-positive.htmlBuzz Spill Dailyen2026-08-17T23:44:23-04:00Is determinant of matrix multiplied its transpose always positive?https://liberty.io/the-equation-of-the-line-pass-through-2-points-in-3d-space-closed.htmlBuzz Spill Dailyen2026-08-17T23:35:35-04:00The equation of the line pass through $2$ points in $3D$ space. [closed]https://liberty.io/what-do-french-mathematicians-call-a-ray.htmlBuzz Spill Dailyen2026-08-17T23:33:02-04:00What do french mathematicians call a ray?https://liberty.io/the-graphs-of-f-x-y-x-2-y-2-and-g-x-y-x-2-y-2-xy-3-are-tangent-to-each.htmlBuzz Spill Dailyen2026-08-17T23:22:31-04:00The graphs of $f(x,y)=x^2+y^2$ and $g(x,y)=-x^2-y^2+xy^3$ "are tangent to each other" at $(0,0)$https://liberty.io/whats-is-the-meaning-of-the-derivative-of-a-vector-function.htmlBuzz Spill Dailyen2026-08-17T23:21:48-04:00Whats is the meaning of the derivative of a vector function?https://liberty.io/relation-between-a-convex-set-and-convex-function.htmlBuzz Spill Dailyen2026-08-17T23:05:28-04:00Relation between a convex set and convex function?https://liberty.io/find-the-average-velocity-and-the-instantaneous-velocity.htmlBuzz Spill Dailyen2026-08-17T22:58:43-04:00Find the Average Velocity and the Instantaneous Velocityhttps://liberty.io/constructing-an-isomorphism.htmlBuzz Spill Dailyen2026-08-17T22:58:34-04:00Constructing an Isomorphismhttps://liberty.io/trick-with-3-digit-numbers-always-get-1089.htmlBuzz Spill Dailyen2026-08-17T22:54:33-04:00Trick with 3-digit numbers, always get 1089https://liberty.io/how-to-calculate-moment-of-inertia-of-parabolic-spandrel.htmlBuzz Spill Dailyen2026-08-17T22:53:04-04:00How to calculate moment of inertia of parabolic spandrel?https://liberty.io/simple-proof-show-that-4-n-1-is-divisible-by-3-guided-proof-task.htmlBuzz Spill Dailyen2026-08-17T22:45:55-04:00Simple proof; Show that $(4^n - 1)$ is divisible by 3 (Guided proof task)https://liberty.io/context-sensitive-grammar-for-the-copy-language.htmlBuzz Spill Dailyen2026-08-17T22:41:06-04:00Context-sensitive grammar for the copy languagehttps://liberty.io/continuous-projections-on-ell-1-with-norm-1.htmlBuzz Spill Dailyen2026-08-17T22:37:08-04:00Continuous projections on $\ell_1$ with norm $>1$https://liberty.io/understanding-the-unit-circle.htmlBuzz Spill Dailyen2026-08-17T22:27:30-04:00Understanding the Unit Circlehttps://liberty.io/a-different-type-of-infinite-power-tower-function.htmlBuzz Spill Dailyen2026-08-17T22:24:32-04:00A different type of infinite power tower functionhttps://liberty.io/how-to-compute-the-similarity-transformation-matrix.htmlBuzz Spill Dailyen2026-08-17T22:23:12-04:00How to compute the similarity transformation matrixhttps://liberty.io/a-die-is-rolled-and-a-coin-is-flipped-what-is-wrong-with-the-following.htmlBuzz Spill Dailyen2026-08-17T22:15:21-04:00A die is rolled and a coin is flipped. What is wrong with the following reasoning?https://liberty.io/how-to-calculate-carmichael-function-of-a-large-number.htmlBuzz Spill Dailyen2026-08-17T22:14:12-04:00How to calculate Carmichael function of a large number.https://liberty.io/sequence-vs-series.htmlBuzz Spill Dailyen2026-08-17T22:04:08-04:00Sequence vs Serieshttps://liberty.io/regular-distributions.htmlBuzz Spill Dailyen2026-08-17T21:59:58-04:00regular distributionshttps://liberty.io/equation-of-a-line-tangent-to-circumference.htmlBuzz Spill Dailyen2026-08-17T21:52:28-04:00Equation of a line tangent to circumferencehttps://liberty.io/calculator-similar-to-desmos-but-for-3-d.htmlBuzz Spill Dailyen2026-08-17T21:51:59-04:00Calculator similar to Desmos but for $3$Dhttps://liberty.io/differentiability-of-the-cantor-function.htmlBuzz Spill Dailyen2026-08-17T21:49:59-04:00Differentiability of the Cantor Functionhttps://liberty.io/chernoff-bound-probability-value-of-n-so-that-with-probability-999-at-.htmlBuzz Spill Dailyen2026-08-17T21:37:11-04:00Chernoff bound probability: value of $n$ so that with probability $.999$ at least half of the coin flips come out headshttps://liberty.io/standard-notation-for-writing-probability-fraction-vs-percentage.htmlBuzz Spill Dailyen2026-08-17T21:27:08-04:00Standard notation for writing probability - fraction vs percentagehttps://liberty.io/are-functions-of-independent-variables-also-independent.htmlBuzz Spill Dailyen2026-08-17T21:20:51-04:00Are functions of independent variables also independent?https://liberty.io/proof-difference-of-absolute-values-and-absolute-value-difference-dupl.htmlBuzz Spill Dailyen2026-08-17T21:20:39-04:00Proof- difference of absolute values and absolute value difference [duplicate]https://liberty.io/understanding-how-em-algorithm-actually-works-for-missing-data.htmlBuzz Spill Dailyen2026-08-17T21:06:35-04:00Understanding how EM algorithm actually works for missing datahttps://liberty.io/find-ln-0-2-accurate-to-0-001.htmlBuzz Spill Dailyen2026-08-17T20:52:38-04:00Find ln(0.2) accurate to 0.001https://liberty.io/finding-prime-factors-by-taking-the-square-root.htmlBuzz Spill Dailyen2026-08-17T20:44:47-04:00Finding prime factors by taking the square roothttps://liberty.io/derivative-of-5x-2-3.htmlBuzz Spill Dailyen2026-08-17T20:42:47-04:00Derivative of $(5x-2)^3$https://liberty.io/arrival-probability-of-merged-poisson-process-closed.htmlBuzz Spill Dailyen2026-08-17T20:36:13-04:00Arrival probability of Merged Poisson Process [closed]https://liberty.io/questions-tagged-recurrence-relations.htmlBuzz Spill Dailyen2026-08-17T20:27:14-04:00Questions tagged [recurrence-relations] https://liberty.io/probability-of-three-events-occurring-given-correlation.htmlBuzz Spill Dailyen2026-08-17T20:17:41-04:00Probability of three events occurring given correlation?https://liberty.io/find-a-function-from-values.htmlBuzz Spill Dailyen2026-08-17T20:10:30-04:00Find a function from valueshttps://liberty.io/laplacian-in-polar-coordinates-nabla-2f-r-f-039-039-r-frac-2-r-f-039-r.htmlBuzz Spill Dailyen2026-08-17T20:07:28-04:00Laplacian in Polar Coordinates: $\nabla^2f(r)=f''(r)+\frac{2}{r}f'(r)$https://liberty.io/how-to-find-the-matrix-of-a-linear-transformation-with-respect-to-two-.htmlBuzz Spill Dailyen2026-08-17T20:00:08-04:00How to find the matrix of a linear transformation with respect to two bases?https://liberty.io/geometric-interpretation-of-the-cofactor-expansion-theorem.htmlBuzz Spill Dailyen2026-08-17T19:51:03-04:00Geometric interpretation of the cofactor expansion theoremhttps://liberty.io/matrix-of-a-quadratic-form.htmlBuzz Spill Dailyen2026-08-17T19:49:30-04:00Matrix of a quadratic form?https://liberty.io/horizontal-tank-with-hemispherical-ends-depth-to-capacity-calculation.htmlBuzz Spill Dailyen2026-08-17T19:46:18-04:00Horizontal tank with hemispherical ends depth to capacity calculationhttps://liberty.io/what-is-the-difference-between-the-big-o-and-big-o-star-asterisk-opera.htmlBuzz Spill Dailyen2026-08-17T19:42:32-04:00What is the difference between the Big O and Big O star (asterisk) operator?https://liberty.io/about-a-divergence-theorem-proof.htmlBuzz Spill Dailyen2026-08-17T19:38:04-04:00About a Divergence Theorem proofhttps://liberty.io/what-is-the-remainder-of-65-divided-by-67.htmlBuzz Spill Dailyen2026-08-17T19:31:49-04:00What is the remainder of $65!$ divided by $67$?https://liberty.io/proving-the-curl-of-a-gradient-is-zero.htmlBuzz Spill Dailyen2026-08-17T19:30:32-04:00Proving the curl of a gradient is zerohttps://liberty.io/4th-order-tensors-double-dot-product-and-inverse-computation.htmlBuzz Spill Dailyen2026-08-17T19:28:31-04:004th order tensors double dot product and inverse computationhttps://liberty.io/simpler-proof-of-an-integral-representation-of-bessel-function-of-the-.htmlBuzz Spill Dailyen2026-08-17T19:27:11-04:00Simpler proof of an integral representation of Bessel function of the first kind $J_n(x)$https://liberty.io/lim-a-b-when-lim-b-does-not-exist-closed.htmlBuzz Spill Dailyen2026-08-17T19:25:13-04:00$\lim (a + b)\;$ when $\;\lim(b)\;$ does not exist? [closed]https://liberty.io/how-to-convert-sum-into-formula.htmlBuzz Spill Dailyen2026-08-17T19:09:56-04:00How to convert sum into formula?https://liberty.io/how-do-i-calculate-the-area-under-a-curve-using-the-midpoints-of-recta.htmlBuzz Spill Dailyen2026-08-17T19:06:56-04:00How do I calculate the area under a curve using the midpoints of rectangles?https://liberty.io/the-best-strategy-and-highest-possible-score-for-the-threes-game.htmlBuzz Spill Dailyen2026-08-17T19:06:41-04:00The Best Strategy and Highest Possible Score for the "Threes!" Game.https://liberty.io/generalized-regular-polygon-area-formula-to-any-number-of-sides.htmlBuzz Spill Dailyen2026-08-17T19:06:16-04:00Generalized Regular Polygon Area Formula to Any Number of Sideshttps://liberty.io/creating-a-steady-state-vector.htmlBuzz Spill Dailyen2026-08-17T19:05:03-04:00Creating a steady state vectorhttps://liberty.io/if-n-is-a-positive-integer-then-2-n-2-2-n-2-2-2n-1.htmlBuzz Spill Dailyen2026-08-17T19:03:05-04:00If $n$ is a positive integer, then $(-2^n)^{-2} + (2^{-n})^2 = 2^{-2n+1}$https://liberty.io/if-you-have-100-spheres-packed-into-a-sphere-shape-how-many-will-be-on.htmlBuzz Spill Dailyen2026-08-17T19:00:37-04:00If you have 100 spheres packed into a sphere shape, how many will be on the surface?https://liberty.io/wolframalpha-says-limit-exists-when-it-doesn-039-t.htmlBuzz Spill Dailyen2026-08-17T19:00:18-04:00WolframAlpha says limit exists when it doesn't?https://liberty.io/why-should-kids-learn-how-to-use-a-compass-and-straightedge-and-not-re.htmlBuzz Spill Dailyen2026-08-17T18:53:07-04:00Why should kids learn how to use a compass and straightedge, and not rely on a drawing program? [closed]https://liberty.io/how-can-i-solve-cos-2-x-sin-x-1-0.htmlBuzz Spill Dailyen2026-08-17T18:49:20-04:00How can I solve $\cos^2 x + \sin x +1 = 0$?https://liberty.io/given-graph-find-degree.htmlBuzz Spill Dailyen2026-08-17T18:33:12-04:00Given Graph, find degreehttps://liberty.io/example-of-bijective-function-from-1-1-to-bbb-r.htmlBuzz Spill Dailyen2026-08-17T18:25:21-04:00Example of bijective function from $(-1,1)$ to $\Bbb R$https://liberty.io/h-cartan-differential-calculus-query.htmlBuzz Spill Dailyen2026-08-17T18:25:13-04:00H. Cartan - Differential Calculus. 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