https://liberty.io/user-minus-one-twelfth-mathematics-stack-exchange.htmlBuzz Spill Dailyen2026-08-19T09:12:02-04:00User Minus One-Twelfth - Mathematics Stack Exchangehttps://liberty.io/maximum-principle-for-harmonic-functions.htmlBuzz Spill Dailyen2026-08-19T09:08:07-04:00Maximum principle for harmonic functionshttps://liberty.io/what-would-you-see-inside-a-spherical-mirror.htmlBuzz Spill Dailyen2026-08-19T09:04:32-04:00What would you see inside a spherical mirror?https://liberty.io/how-to-find-range-of-a-quadratic-quadratic-function-easily-without-plo.htmlBuzz Spill Dailyen2026-08-19T09:03:48-04:00How to find range of a Quadratic/Quadratic function easily without plotting its graph?https://liberty.io/algorithm-to-get-the-maximum-size-of-n-squares-that-fit-into-a-rectang.htmlBuzz Spill Dailyen2026-08-19T09:03:40-04:00Algorithm to get the maximum size of n squares that fit into a rectangle with a given width and heighthttps://liberty.io/is-there-a-variant-of-the-dot-product-operation-that-returns-frac-a-1-.htmlBuzz Spill Dailyen2026-08-19T08:59:02-04:00Is there a variant of the dot-product operation that returns $\frac{a_1}{b_1} + \frac{a_2}{b_2}$ from vectors $[a_1,a_2]$ and $[b_1, b_2]$?https://liberty.io/expected-value-of-a-poisson-process.htmlBuzz Spill Dailyen2026-08-19T08:51:33-04:00Expected value of a poisson processhttps://liberty.io/coordinate-matrix-of-a-vector-in-terms-of-a-basis.htmlBuzz Spill Dailyen2026-08-19T08:49:40-04:00Coordinate matrix of a vector in terms of a basishttps://liberty.io/derivative-of-a-square-root-with-exponential-function.htmlBuzz Spill Dailyen2026-08-19T08:36:38-04:00Derivative of a square root with exponential functionhttps://liberty.io/creating-truth-tables-variable-columns.htmlBuzz Spill Dailyen2026-08-19T08:36:31-04:00Creating truth tables variable columnshttps://liberty.io/combinatorics-formula-reference.htmlBuzz Spill Dailyen2026-08-19T08:26:40-04:00Combinatorics Formula Referencehttps://liberty.io/how-to-find-the-point-where-the-curvature-is-maximum.htmlBuzz Spill Dailyen2026-08-19T08:24:33-04:00How to find the point where the curvature is maximumhttps://liberty.io/user-lucusk-mathematics-stack-exchange.htmlBuzz Spill Dailyen2026-08-19T08:24:30-04:00User lucusk - Mathematics Stack Exchangehttps://liberty.io/is-x-1-3-differentiable-at-0.htmlBuzz Spill Dailyen2026-08-19T08:21:38-04:00Is $x^{1/3}$ differentiable at $0$?https://liberty.io/what-is-a-natural-isomorphism.htmlBuzz Spill Dailyen2026-08-19T08:14:41-04:00What is a natural isomorphism?https://liberty.io/formal-definition-of-counterexample.htmlBuzz Spill Dailyen2026-08-19T08:12:59-04:00Formal definition of “counterexample”.https://liberty.io/projectile-motion-with-air-resistance-proportional-to-velocity-squared.htmlBuzz Spill Dailyen2026-08-19T08:11:59-04:00Projectile motion with air resistance proportional to velocity squared, system of DE's.https://liberty.io/how-to-find-average-rate-of-change.htmlBuzz Spill Dailyen2026-08-19T08:03:27-04:00How to find average rate of changehttps://liberty.io/how-to-estimate-the-range-of-a-normal-distribution-when-the-mean-and-s.htmlBuzz Spill Dailyen2026-08-19T08:02:10-04:00How to estimate the range of a normal distribution when the mean and standard deviation are givenhttps://liberty.io/factoring-x-6-y-6-what-is-going-on-here.htmlBuzz Spill Dailyen2026-08-19T07:55:44-04:00factoring $(x^6 - y^6)$: what is going on here?https://liberty.io/what-does-sin-sin-x-mean.htmlBuzz Spill Dailyen2026-08-19T07:54:48-04:00What does $\sin(\sin(x))$ mean?https://liberty.io/binomial-expansion-of-1-x-n.htmlBuzz Spill Dailyen2026-08-19T07:45:22-04:00Binomial expansion of $(1-x)^n$https://liberty.io/which-versions-of-chernoff-bound-are-applied-to-binomial-distribution-.htmlBuzz Spill Dailyen2026-08-19T07:44:49-04:00Which versions of Chernoff bound are applied to Binomial distribution in these examples?https://liberty.io/parabolic-word-problem.htmlBuzz Spill Dailyen2026-08-19T07:41:10-04:00Parabolic word problemhttps://liberty.io/why-is-the-expected-value-e-x-2-neq-e-x-2.htmlBuzz Spill Dailyen2026-08-19T07:40:51-04:00Why is the expected value $E(X^2) \neq E(X)^2$?https://liberty.io/how-to-understand-complex-rotation.htmlBuzz Spill Dailyen2026-08-19T07:38:43-04:00How to understand complex rotation?https://liberty.io/finding-the-no-of-ways-to-count-the-letters-in-an-english-alphabet.htmlBuzz Spill Dailyen2026-08-19T07:38:01-04:00Finding the no of ways to count the letters in an English alphabethttps://liberty.io/find-an-equation-for-the-plane-that-contains-the-two-parallel-lines-l-.htmlBuzz Spill Dailyen2026-08-19T07:31:45-04:00Find an equation for the plane that contains the two (parallel) lines l(t) = (0, 1, −2) + t(2, 3, −1) and s(t) = (2, −1, 0) + t(2, 3, −1). [closed]https://liberty.io/free-lecture-notes-to-carl-bender-039-s-mathematical-physics-video-lec.htmlBuzz Spill Dailyen2026-08-19T07:12:54-04:00Free lecture notes to Carl Bender's Mathematical Physics video lecture course?https://liberty.io/choose-the-true-statement.htmlBuzz Spill Dailyen2026-08-19T07:11:47-04:00choose the True statement?https://liberty.io/difference-between-arccos-and-cos-1.htmlBuzz Spill Dailyen2026-08-19T07:09:14-04:00Difference between arccos and Cos^-1https://liberty.io/calculus-does-the-particle-ever-change-direction-at-what-time-interval.htmlBuzz Spill Dailyen2026-08-19T07:07:37-04:00Calculus: Does the particle ever change direction? At what time intervals does velocity increase?https://liberty.io/pi-controller-and-finding-poles-of-a-transfer-function.htmlBuzz Spill Dailyen2026-08-19T07:07:07-04:00PI Controller and finding poles of a transfer function.https://liberty.io/finding-the-centre-of-an-abritary-set-of-points-in-two-dimensions.htmlBuzz Spill Dailyen2026-08-19T07:06:34-04:00Finding the Centre of an Abritary Set of Points in Two Dimensionshttps://liberty.io/calculate-the-angles-of-a-isosceles-triangle.htmlBuzz Spill Dailyen2026-08-19T06:47:52-04:00Calculate the angles of a isosceles trianglehttps://liberty.io/find-in-radians-the-general-solution-of-cos-3x-sin-5x.htmlBuzz Spill Dailyen2026-08-19T06:40:38-04:00Find, in radians the general solution of cos 3x = sin 5xhttps://liberty.io/definition-of-jointly-normal.htmlBuzz Spill Dailyen2026-08-19T06:36:59-04:00Definition of Jointly Normalhttps://liberty.io/the-dual-transformation-has-the-same-eigenvalues.htmlBuzz Spill Dailyen2026-08-19T06:33:27-04:00The dual transformation has the same eigenvalueshttps://liberty.io/use-lagrange-multipliers-to-find-maximum-and-minimum-values.htmlBuzz Spill Dailyen2026-08-19T06:26:28-04:00Use LaGrange multipliers to find maximum and minimum valueshttps://liberty.io/simple-asymptotic-function.htmlBuzz Spill Dailyen2026-08-19T06:22:51-04:00Simple asymptotic functionhttps://liberty.io/is-a-line-a-convex-set.htmlBuzz Spill Dailyen2026-08-19T06:21:12-04:00Is a line a convex set?https://liberty.io/trigonometry-why-we-need-to-relate-to-circles.htmlBuzz Spill Dailyen2026-08-19T06:20:13-04:00Trigonometry- why we need to relate to circleshttps://liberty.io/intuition-of-the-connection-between-the-graph-laplacian-and-the-laplac.htmlBuzz Spill Dailyen2026-08-19T06:17:59-04:00Intuition of the connection between the graph Laplacian and the Laplace operatorhttps://liberty.io/how-do-we-introduce-subtraction-from-these-field-axioms.htmlBuzz Spill Dailyen2026-08-19T06:15:34-04:00How do we introduce subtraction from these field axioms?https://liberty.io/fraction-of-non-integers.htmlBuzz Spill Dailyen2026-08-19T06:12:37-04:00Fraction of non integers?https://liberty.io/find-a-vector-non-orthogonal-to-a-given-set.htmlBuzz Spill Dailyen2026-08-19T06:07:19-04:00Find a vector non-orthogonal to a given sethttps://liberty.io/technique-for-finding-the-nth-term.htmlBuzz Spill Dailyen2026-08-19T06:06:55-04:00Technique for finding the nth termhttps://liberty.io/set-notation-what-does-the-bar-symbol-mean.htmlBuzz Spill Dailyen2026-08-19T06:06:42-04:00Set notation what does the bar symbol mean?https://liberty.io/finding-the-middle-coordintes-of-each-side-of-an-equilateral-triangle.htmlBuzz Spill Dailyen2026-08-19T06:06:08-04:00Finding the middle coordintes of each side of an equilateral trianglehttps://liberty.io/visually-prove-area-1-2-base-height-for-scalene-triangle.htmlBuzz Spill Dailyen2026-08-19T05:39:14-04:00Visually prove area = 1/2 (base * height) for scalene triangle.https://liberty.io/show-that-the-arithmetic-mean-is-less-or-equal-than-the-quadratic-mean.htmlBuzz Spill Dailyen2026-08-19T05:37:41-04:00Show that the arithmetic mean is less or equal than the quadratic meanhttps://liberty.io/right-angles-in-circles.htmlBuzz Spill Dailyen2026-08-19T05:31:54-04:00Right Angles in Circleshttps://liberty.io/how-would-you-explain-to-a-9th-grader-the-negative-exponent-rule.htmlBuzz Spill Dailyen2026-08-19T05:30:20-04:00How would you explain to a 9th grader the negative exponent rule?https://liberty.io/definition-of-a-convex-cone.htmlBuzz Spill Dailyen2026-08-19T05:23:23-04:00Definition of a Convex Conehttps://liberty.io/how-to-find-the-fixed-field.htmlBuzz Spill Dailyen2026-08-19T05:22:03-04:00How to find the fixed field?https://liberty.io/what-vector-field-property-means-is-the-curl-of-another-vector-field.htmlBuzz Spill Dailyen2026-08-19T05:13:49-04:00What vector field property means “is the curl of another vector field?”https://liberty.io/chinese-remainder-theorem-backwards-duplicate.htmlBuzz Spill Dailyen2026-08-19T05:12:17-04:00Chinese Remainder Theorem Backwards [duplicate]https://liberty.io/area-of-a-five-pointed-star.htmlBuzz Spill Dailyen2026-08-19T04:57:36-04:00Area of a five pointed starhttps://liberty.io/how-to-use-double-angle-identities-to-find-sin-x-and-cos-x-from-sin-2x.htmlBuzz Spill Dailyen2026-08-19T04:56:57-04:00How to use double angle identities to find $\sin x$ and $\cos x$ from $\sin 2x $?https://liberty.io/graphing-multivariate-functions-by-hand-impossible.htmlBuzz Spill Dailyen2026-08-19T04:41:56-04:00Graphing multivariate functions by hand? Impossible?https://liberty.io/learning-functional-analysis-and-measure-theory.htmlBuzz Spill Dailyen2026-08-19T04:41:44-04:00Learning functional analysis and measure theoryhttps://liberty.io/proof-of-the-right-and-left-cancellation-laws-for-groups-duplicate.htmlBuzz Spill Dailyen2026-08-19T04:22:34-04:00Proof of the right and left cancellation laws for Groups [duplicate]https://liberty.io/what-039-s-laplace-transform-of-u-t-1-delta-t.htmlBuzz Spill Dailyen2026-08-19T04:13:27-04:00What's Laplace Transform of $u(t-1)\delta(t)$?https://liberty.io/minimal-polynomial-of-a-6x6-matrix.htmlBuzz Spill Dailyen2026-08-19T04:11:02-04:00Minimal polynomial of a 6x6 matrix?https://liberty.io/why-does-pert-work.htmlBuzz Spill Dailyen2026-08-19T04:06:48-04:00Why does PERT work?https://liberty.io/probability-notation.htmlBuzz Spill Dailyen2026-08-19T04:05:04-04:00Probability notationhttps://liberty.io/how-to-convert-kj-kmole-to-kj-kg-closed.htmlBuzz Spill Dailyen2026-08-19T04:04:00-04:00How to convert kJ/kmole to kJ/kg? [closed]https://liberty.io/how-many-fair-dice-exist.htmlBuzz Spill Dailyen2026-08-19T04:00:42-04:00How many fair dice exist?https://liberty.io/is-every-real-root-also-a-complex-root-complex-zeros-and-fundamental-t.htmlBuzz Spill Dailyen2026-08-19T03:57:13-04:00Is every real root also a complex root? (Complex zeros and Fundamental Theorem of Algebra)https://liberty.io/is-there-a-technique-to-find-a-hamilton-circuit-in-a-graph.htmlBuzz Spill Dailyen2026-08-19T03:47:25-04:00Is there a technique to find a hamilton circuit in a graph?https://liberty.io/proving-a-removable-discontinuity-exists.htmlBuzz Spill Dailyen2026-08-19T03:46:36-04:00Proving a removable discontinuity existshttps://liberty.io/how-to-solve-0-cos-2x-cos-x.htmlBuzz Spill Dailyen2026-08-19T03:23:46-04:00How to solve $0=\cos{2x}+\cos x$https://liberty.io/how-to-tell-if-a-multivariable-limit-really-exists.htmlBuzz Spill Dailyen2026-08-19T03:17:34-04:00How to tell if a multivariable limit really exists?https://liberty.io/last-digits-of-a-card-are-the-same.htmlBuzz Spill Dailyen2026-08-19T03:01:54-04:00Last digits of a card are the samehttps://liberty.io/the-sides-of-a-pentagon-are-represented-in-centimeters-by-x-10-2x-1-an.htmlBuzz Spill Dailyen2026-08-19T02:52:00-04:00The sides of a pentagon are represented in centimeters by $x$, $10$, $2x$, $1$ and $3$. How many even values of $x$ ​satisfy this pentagon?https://liberty.io/what-is-the-mutual-information-i-x-x.htmlBuzz Spill Dailyen2026-08-19T02:44:11-04:00What is the mutual information $I(X;X)$?https://liberty.io/l0-norm-l1-norm-and-l2-norm.htmlBuzz Spill Dailyen2026-08-19T02:43:20-04:00L0 norm, L1 norm and L2 normhttps://liberty.io/what-does-a-compact-set-look-like.htmlBuzz Spill Dailyen2026-08-19T02:40:13-04:00What does a compact set look like?https://liberty.io/help-me-to-understand-the-potato-paradox.htmlBuzz Spill Dailyen2026-08-19T02:37:16-04:00Help me to understand the potato paradoxhttps://liberty.io/proving-de-morgan-039-s-generalized-laws.htmlBuzz Spill Dailyen2026-08-19T02:25:16-04:00Proving De Morgan's Generalized Lawshttps://liberty.io/what-is-meant-by-passing-to-a-subsequence.htmlBuzz Spill Dailyen2026-08-19T02:22:33-04:00What is meant by "passing to a subsequence"?https://liberty.io/explanation-of-the-formula-for-combinations-without-repetition-probabi.htmlBuzz Spill Dailyen2026-08-19T02:21:36-04:00Explanation of the formula for combinations without repetition, probabilityhttps://liberty.io/why-do-you-need-three-perpendicular-bisectors-to-circumscribe-a-triang.htmlBuzz Spill Dailyen2026-08-19T02:11:21-04:00Why do you need three perpendicular bisectors to circumscribe a triangle?https://liberty.io/homeomorphic-graphs.htmlBuzz Spill Dailyen2026-08-19T02:09:55-04:00homeomorphic graphshttps://liberty.io/muddy-children-puzzle-when-more-than-2-kids-are-muddy.htmlBuzz Spill Dailyen2026-08-19T01:53:43-04:00Muddy Children Puzzle (when more than 2 kids are muddy)https://liberty.io/how-to-find-an-angle-in-degrees-in-a-right-triangle-given-its-sides.htmlBuzz Spill Dailyen2026-08-19T01:50:17-04:00How to find an angle (in degrees) in a right triangle, given its sides?https://liberty.io/finding-minimum-value-of-sqrt-x-2-y-2-duplicate.htmlBuzz Spill Dailyen2026-08-19T01:49:26-04:00Finding minimum value of $\sqrt{x^2+y^2}$ [duplicate]https://liberty.io/questions-tagged-definite-integrals.htmlBuzz Spill Dailyen2026-08-19T01:36:31-04:00Questions tagged [definite-integrals] https://liberty.io/is-there-a-name-for-a-3d-shape-that-looks-like-a-circle-when-viewed-fr.htmlBuzz Spill Dailyen2026-08-19T01:28:36-04:00Is there a name for a 3D shape that looks like a circle when viewed from one axis, a square from another, and a triangle from the third?https://liberty.io/is-there-a-three-dimensional-version-of-curl-in-which-the-result-is-a-.htmlBuzz Spill Dailyen2026-08-19T01:23:40-04:00Is there a three-dimensional version of curl in which the result is a vector?https://liberty.io/domain-of-exponential-function.htmlBuzz Spill Dailyen2026-08-19T01:16:39-04:00Domain of exponential functionhttps://liberty.io/bounded-vs-unbounded-linear-programs.htmlBuzz Spill Dailyen2026-08-19T01:14:51-04:00bounded vs. unbounded linear programshttps://liberty.io/real-analysis-continuity-of-a-composition-function.htmlBuzz Spill Dailyen2026-08-19T01:12:20-04:00Real Analysis: Continuity of a Composition Functionhttps://liberty.io/how-to-show-cubic-function-is-one-to-one-using-assumption.htmlBuzz Spill Dailyen2026-08-19T01:07:46-04:00how to show cubic function is one to one using assumptionhttps://liberty.io/integrate-over-an-area-of-a-parabola.htmlBuzz Spill Dailyen2026-08-19T01:06:24-04:00Integrate over an area of a parabolahttps://liberty.io/centroid-root-locus.htmlBuzz Spill Dailyen2026-08-19T01:02:44-04:00Centroid Root Locushttps://liberty.io/why-is-establishing-absolute-consistency-of-zfc-impossible.htmlBuzz Spill Dailyen2026-08-19T00:57:45-04:00Why is establishing absolute consistency of ZFC impossible?https://liberty.io/what-is-the-conjugate-of-i-iota.htmlBuzz Spill Dailyen2026-08-19T00:35:46-04:00What is the conjugate of $i$ (iota)?https://liberty.io/prove-the-derivative-of-sin-1-x-exists.htmlBuzz Spill Dailyen2026-08-19T00:26:12-04:00Prove the derivative of $\sin(1/x)$ existshttps://liberty.io/how-many-possible-3-character-combinations-using-letters-closed.htmlBuzz Spill Dailyen2026-08-19T00:08:29-04:00How many possible 3 character combinations using letters? 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