https://liberty.io/dividing-a-rectangle-into-4-parts-in-the-ratio-1-2-3-4-with-only-2-lin.htmlBuzz Spill Dailyen2026-08-26T11:33:48-04:00Dividing a rectangle into 4 parts in the ratio 1:2:3:4, with only 2 lineshttps://liberty.io/dihedral-angles-between-tetrahedron-faces-from-triangles-039-angles-at.htmlBuzz Spill Dailyen2026-08-26T11:31:22-04:00Dihedral angles between tetrahedron faces from triangles&#039; angles at the tiphttps://liberty.io/what-is-model-theory.htmlBuzz Spill Dailyen2026-08-26T11:21:52-04:00What is Model Theoryhttps://liberty.io/calculate-the-degree-of-convergence.htmlBuzz Spill Dailyen2026-08-26T11:20:47-04:00Calculate the degree of convergencehttps://liberty.io/first-de-rham-cohomology-group-of-the-2-torus.htmlBuzz Spill Dailyen2026-08-26T11:09:29-04:00First de Rham Cohomology group of the 2-torushttps://liberty.io/find-all-x-in-mathbb-z-with-x-equiv-2-mod-4-x-equiv-8-mod9-and-x-equiv.htmlBuzz Spill Dailyen2026-08-26T11:07:01-04:00Find all $x\in \mathbb{Z}$ with $x \equiv 2 \mod 4$ , $x \equiv 8\mod9$ and $x \equiv 1\mod5$https://liberty.io/what-is-the-difference-between-an-unbounded-solution-and-infinite-opti.htmlBuzz Spill Dailyen2026-08-26T11:02:28-04:00What is the difference between an unbounded solution and infinite optimal solutions?https://liberty.io/simplify-the-expression-by-using-a-double-angle-formula-or-a-half-angl.htmlBuzz Spill Dailyen2026-08-26T11:02:15-04:00Simplify the expression by using a Double-Angle Formula or a Half-Angle Formula.https://liberty.io/why-are-the-coefficients-of-the-equation-of-a-plane-the-normal-vector-.htmlBuzz Spill Dailyen2026-08-26T11:01:13-04:00Why are the coefficients of the equation of a plane the normal vector of a plane?https://liberty.io/what-is-the-difference-between-zero-vector-and-null-vector-closed.htmlBuzz Spill Dailyen2026-08-26T10:57:38-04:00What is the difference between zero vector and null vector? [closed]https://liberty.io/the-difference-between-inverse-function-and-a-function-that-is-inverti.htmlBuzz Spill Dailyen2026-08-26T10:54:31-04:00The difference between inverse function and a function that is invertible?https://liberty.io/is-9-1-an-improper-fraction.htmlBuzz Spill Dailyen2026-08-26T10:48:28-04:00Is 9/1 an improper fraction?https://liberty.io/cauchy-integral-formula-when-f-z-is-not-analytic-everywhere-inside-c.htmlBuzz Spill Dailyen2026-08-26T10:44:14-04:00Cauchy Integral Formula (When f(z) is not analytic everywhere inside C)https://liberty.io/determine-an-interval-in-which-the-solution-to-the-given-ivp-exists-di.htmlBuzz Spill Dailyen2026-08-26T10:42:47-04:00Determine an interval in which the solution to the given IVP exists. Differential Equationshttps://liberty.io/what-does-arc-in-arcsin-arccos-arctan-stands-for.htmlBuzz Spill Dailyen2026-08-26T10:41:34-04:00what does "arc" in arcsin, arccos, arctan stands forhttps://liberty.io/show-that-m-le-2e-v-le-m.htmlBuzz Spill Dailyen2026-08-26T10:33:07-04:00Show that $m \le 2e/v \le M$https://liberty.io/express-solution-in-simplest-radical-form-4x-1-3x-7-5x-1-2x-3.htmlBuzz Spill Dailyen2026-08-26T10:29:13-04:00Express solution in simplest radical form: $(4x-1)(3x+7) = (5x-1)(2x+3)$https://liberty.io/determine-the-expected-value-and-variance-of-bar-x.htmlBuzz Spill Dailyen2026-08-26T10:14:15-04:00Determine the expected value and variance of $\bar{X}$https://liberty.io/nullity-of-t-vs-nullity-of-t-2.htmlBuzz Spill Dailyen2026-08-26T10:07:28-04:00Nullity of T vs. nullity of $T^2$https://liberty.io/good-video-lectures-for-studying-calculus.htmlBuzz Spill Dailyen2026-08-26T10:02:12-04:00Good video lectures for studying Calculus?https://liberty.io/how-to-find-what-a-given-series-sequence-converges-to.htmlBuzz Spill Dailyen2026-08-26T09:43:39-04:00How to find what a given series/sequence converges tohttps://liberty.io/basic-tensor-derivation.htmlBuzz Spill Dailyen2026-08-26T09:43:09-04:00Basic tensor derivationhttps://liberty.io/proof-of-vector-calculus-identities.htmlBuzz Spill Dailyen2026-08-26T09:35:32-04:00Proof of vector calculus identitieshttps://liberty.io/what-is-convex-combination-of-two-points.htmlBuzz Spill Dailyen2026-08-26T09:33:26-04:00What is convex combination of two points?https://liberty.io/eigenvectors-of-similar-matrices.htmlBuzz Spill Dailyen2026-08-26T09:32:14-04:00Eigenvectors of similar matriceshttps://liberty.io/is-a-positively-homogeneous-convex-function-lower-semi-continuous.htmlBuzz Spill Dailyen2026-08-26T09:24:42-04:00Is a positively homogeneous convex function lower semi-continuous?https://liberty.io/square-roots-of-complex-number-3-4i.htmlBuzz Spill Dailyen2026-08-26T09:19:32-04:00Square Roots of Complex Number $3-4i$https://liberty.io/equivalence-relation-and-sets.htmlBuzz Spill Dailyen2026-08-26T09:18:27-04:00equivalence relation and setshttps://liberty.io/what-comes-after-seconds.htmlBuzz Spill Dailyen2026-08-26T09:17:31-04:00What comes after seconds?https://liberty.io/prove-that-the-square-root-of-any-irrational-number-is-irrational.htmlBuzz Spill Dailyen2026-08-26T09:00:17-04:00Prove that the square root of any irrational number is irrational.https://liberty.io/why-does-an-integral-change-signs-when-flipping-the-boundaries.htmlBuzz Spill Dailyen2026-08-26T08:51:07-04:00Why does an integral change signs when flipping the boundaries?https://liberty.io/intuitive-and-convincing-argument-that-functions-are-vectors.htmlBuzz Spill Dailyen2026-08-26T08:48:24-04:00Intuitive and convincing argument that functions are vectorshttps://liberty.io/define-a-binary-composition-operation-star-such-that-langle-g-star-ran.htmlBuzz Spill Dailyen2026-08-26T08:32:26-04:00Define a binary composition ( operation ) $\star$ such that $\langle G,\star\rangle$ is a group with $a$ as its identity.https://liberty.io/how-to-prove-that-the-matrix-is-not-invertible.htmlBuzz Spill Dailyen2026-08-26T08:24:24-04:00How to prove that the matrix is not invertible?https://liberty.io/lower-limit-topology-properties.htmlBuzz Spill Dailyen2026-08-26T08:15:07-04:00Lower Limit Topology Propertieshttps://liberty.io/how-many-solutions-exists-for-this-equation-duplicate.htmlBuzz Spill Dailyen2026-08-26T08:08:12-04:00How many solutions exists for this equation? [duplicate]https://liberty.io/find-center-of-rotation-after-object-rotated-by-known-angle-2d.htmlBuzz Spill Dailyen2026-08-26T08:07:07-04:00Find center of rotation after object rotated by known angle (2D)https://liberty.io/negation-of-biconditional-statements.htmlBuzz Spill Dailyen2026-08-26T07:58:31-04:00Negation of biconditional statements?https://liberty.io/camera-rotation-draws-twoards-z-animation-script-built-from-mathformul.htmlBuzz Spill Dailyen2026-08-26T07:56:41-04:00Camera rotation draws twoards Z (Animation script built from mathformula in Excel)https://liberty.io/proving-x-n-y-n-x-y-x-n-1-x-n-2-y-x-y-n-2-y-n-1.htmlBuzz Spill Dailyen2026-08-26T07:48:00-04:00Proving $x^n - y^n = (x-y)(x^{n-1} + x^{n-2} y + ... + x y^{n-2} + y^{n-1})$https://liberty.io/how-to-perform-wedge-product.htmlBuzz Spill Dailyen2026-08-26T07:46:31-04:00How to perform wedge producthttps://liberty.io/how-is-the-subgradient-method-different-from-gradient-descent-in-pract.htmlBuzz Spill Dailyen2026-08-26T07:42:50-04:00How is the subgradient method different from gradient descent in practice?https://liberty.io/solving-inequalities-with-variables-in-the-denominator.htmlBuzz Spill Dailyen2026-08-26T07:37:34-04:00Solving Inequalities with variables in the denominatorhttps://liberty.io/why-are-natural-numbers-called-natural-numbers.htmlBuzz Spill Dailyen2026-08-26T07:18:53-04:00Why are Natural Numbers called Natural Numbers?https://liberty.io/determine-whether-the-series-frac-e-frac-1-n-n-2-converges-or-diverges.htmlBuzz Spill Dailyen2026-08-26T07:17:55-04:00Determine whether the series $\frac{e^\frac{1}{n}}{n^2}$ converges or divergeshttps://liberty.io/find-the-six-trigonometric-functions-given-a-point-with-y-2x.htmlBuzz Spill Dailyen2026-08-26T07:08:44-04:00Find the six trigonometric functions given a point with $y=2x$https://liberty.io/what-is-the-symbol-for-imaginary-numbers.htmlBuzz Spill Dailyen2026-08-26T07:07:16-04:00What is the symbol for imaginary numbers?https://liberty.io/how-to-integrate-when-integration-by-parts-never-ends.htmlBuzz Spill Dailyen2026-08-26T07:04:53-04:00How to integrate when integration by parts never ends?https://liberty.io/what-does-the-mathematical-symbol-with-an-underline-below-the-variable.htmlBuzz Spill Dailyen2026-08-26T07:03:55-04:00What does the mathematical symbol with an underline below the variable name mean?https://liberty.io/two-different-formulas-for-standard-error-of-difference-between-two-me.htmlBuzz Spill Dailyen2026-08-26T07:00:52-04:00Two different formulas for standard error of difference between two meanshttps://liberty.io/delta-x-in-limit-problem.htmlBuzz Spill Dailyen2026-08-26T06:58:10-04:00$\Delta x$ in limit problem?https://liberty.io/calculate-x-y-z-from-two-specific-degrees-on-a-sphere.htmlBuzz Spill Dailyen2026-08-26T06:56:00-04:00Calculate X Y Z from two specific degrees on a spherehttps://liberty.io/why-does-x-2-5x-6-0-which-is-the-same-as-x-3-x-2-0-represent-a-parabol.htmlBuzz Spill Dailyen2026-08-26T06:54:40-04:00Why does "$x^2 - 5x + 6 = 0$", which is the same as "$(x-3)(x-2) = 0$", represent a parabola?https://liberty.io/the-sum-of-series-with-natural-logarithm-sum-n-1-infty-ln-left-frac-n-.htmlBuzz Spill Dailyen2026-08-26T06:51:24-04:00The sum of series with natural logarithm: $\sum_{n=1}^\infty \ln\left(\frac{n(n+2)}{(n+1)^2}\right)$ [duplicate]https://liberty.io/integral-of-x-2-e-x-2.htmlBuzz Spill Dailyen2026-08-26T06:45:12-04:00Integral of $x^2 e^{-x^2}$https://liberty.io/which-algorithm-does-matlab-eig-use-to-diagonalize-a-complex-symmetric.htmlBuzz Spill Dailyen2026-08-26T06:23:49-04:00Which algorithm does MATLAB eig() use to diagonalize a complex symmetric matrix?https://liberty.io/convert-the-integral-from-rectangular-to-cylindrical-coordinates-and-s.htmlBuzz Spill Dailyen2026-08-26T06:21:33-04:00Convert the integral from rectangular to cylindrical coordinates and solvehttps://liberty.io/how-can-cyclic-groups-be-infinite.htmlBuzz Spill Dailyen2026-08-26T06:19:58-04:00How can Cyclic groups be infinitehttps://liberty.io/how-to-find-curves-of-intersection-between-two-surfaces.htmlBuzz Spill Dailyen2026-08-26T06:17:40-04:00How to find curves of intersection between two surfaceshttps://liberty.io/what-is-the-difference-between-a-forest-and-a-spanning-forest.htmlBuzz Spill Dailyen2026-08-26T06:07:33-04:00What is the difference between a forest and a spanning forest?https://liberty.io/reduction-formula-for-int-cosh-n-x-dx.htmlBuzz Spill Dailyen2026-08-26T06:05:22-04:00Reduction formula for $\int \cosh^n x dx$https://liberty.io/integral-int-infty-infty-x-2-e-x-2-mathrm-dx.htmlBuzz Spill Dailyen2026-08-26T06:01:41-04:00Integral: $\int_{-\infty}^{\infty} x^2 e^{-x^2}\mathrm dx$https://liberty.io/generalization-x-text-sup-q-in-mathbb-q-q-x.htmlBuzz Spill Dailyen2026-08-26T06:00:32-04:00Generalization: $x=\text{sup}\{q\in \mathbb{Q}:q<x\}$https://liberty.io/random-math-questions-modular-arithmetic-notation.htmlBuzz Spill Dailyen2026-08-26T06:00:08-04:00Random math questions (modular arithmetic & notation)https://liberty.io/how-does-a-branch-cut-define-a-branch.htmlBuzz Spill Dailyen2026-08-26T05:44:53-04:00How does a branch cut define a branch?https://liberty.io/what-is-a-convex-polyhedron.htmlBuzz Spill Dailyen2026-08-26T05:38:15-04:00What is a "convex" polyhedron?https://liberty.io/is-a-hypersurface-really-defined-by-an-arbitrary-polynomial.htmlBuzz Spill Dailyen2026-08-26T05:32:27-04:00Is a hypersurface really defined by an arbitrary polynomial?https://liberty.io/why-is-euler-039-s-number-2-71828-and-not-anything-else-closed.htmlBuzz Spill Dailyen2026-08-26T05:23:36-04:00Why is Euler&#039;s number $2.71828$ and not anything else? [closed]https://liberty.io/why-the-slope-of-a-line-is-change-in-y-divided-by-change-in-x-duplicat.htmlBuzz Spill Dailyen2026-08-26T05:17:42-04:00Why the slope of a line is change in y divided by change in x? [duplicate]https://liberty.io/product-of-two-independent-poisson-variables.htmlBuzz Spill Dailyen2026-08-26T05:14:53-04:00Product of two independent poisson variableshttps://liberty.io/if-my-average-speed-is-50-mph-is-it-better-to-go-10-faster-or-5-mph-fa.htmlBuzz Spill Dailyen2026-08-26T05:10:26-04:00If my average speed is 50 mph, is it better to go 10% faster or 5 mph faster? (These are not the same)https://liberty.io/show-marsaglia-polar-method-produce-the-standard-normal-distribution.htmlBuzz Spill Dailyen2026-08-26T05:03:07-04:00Show Marsaglia polar method produce the standard normal distributionhttps://liberty.io/how-is-the-graph-coloring-problem-np-complete.htmlBuzz Spill Dailyen2026-08-26T05:01:31-04:00How is the graph coloring problem NP-Complete?https://liberty.io/show-that-the-perimeter-of-an-octagon-is-8-sqrt-2-1.htmlBuzz Spill Dailyen2026-08-26T04:47:44-04:00Show that the perimeter of an octagon is $8(\sqrt{2} -1)$https://liberty.io/finding-the-limit-when-denominator-0.htmlBuzz Spill Dailyen2026-08-26T04:47:01-04:00Finding the limit when denominator = 0https://liberty.io/prove-that-if-a-and-b-are-mutually-exclusive-then-p-a-leq-p-b-c.htmlBuzz Spill Dailyen2026-08-26T04:41:00-04:00Prove that if A and B are mutually exclusive then $P(A)\leq P(B^c)$.https://liberty.io/find-the-composition-of-a-piecewise-function.htmlBuzz Spill Dailyen2026-08-26T04:37:40-04:00Find the composition of a piecewise functionhttps://liberty.io/show-that-the-dimention-of-the-intersection-of-projective-linear-sub-s.htmlBuzz Spill Dailyen2026-08-26T04:36:48-04:00Show that the dimention of the intersection of projective linear sub-spaces of dimentions $d_1$ and $d_2$ of $\mathbb{P}^n$ is bigger than $d_1+d_2-n$https://liberty.io/difference-between-imaginary-part-and-imaginary-number.htmlBuzz Spill Dailyen2026-08-26T04:34:58-04:00Difference between imaginary part and imaginary numberhttps://liberty.io/find-a-circle-perpendicular-to-two-other-circles.htmlBuzz Spill Dailyen2026-08-26T04:34:09-04:00Find a circle perpendicular to two other circles.https://liberty.io/finding-the-local-trivilization-of-canonical-line-bundle.htmlBuzz Spill Dailyen2026-08-26T04:32:13-04:00Finding the local trivilization of canonical line bundlehttps://liberty.io/express-cos-tan-1-x-in-terms-of-x.htmlBuzz Spill Dailyen2026-08-26T04:30:10-04:00Express $\cos(\tan^{-1}(x))$ in terms of $x$.https://liberty.io/composition-of-function-with-itself.htmlBuzz Spill Dailyen2026-08-26T04:18:25-04:00Composition of function with itselfhttps://liberty.io/boolean-algebra-sum-of-products-form.htmlBuzz Spill Dailyen2026-08-26T04:05:49-04:00Boolean algebra - sum of products formhttps://liberty.io/simultaneous-diagonalization-of-commuting-linear-transformations.htmlBuzz Spill Dailyen2026-08-26T04:04:31-04:00Simultaneous diagonalization of commuting linear transformationshttps://liberty.io/derived-categories-of-filtered-modules.htmlBuzz Spill Dailyen2026-08-26T04:02:36-04:00Derived categories of filtered moduleshttps://liberty.io/sum-of-sets-of-measure-zero.htmlBuzz Spill Dailyen2026-08-26T03:59:58-04:00Sum of sets of measure zerohttps://liberty.io/how-to-evaluate-the-integral-int-e-2x-sin-2x-dx-closed.htmlBuzz Spill Dailyen2026-08-26T03:58:37-04:00How to evaluate the integral $\int e^{2x} \sin^2x\ dx$ [closed]https://liberty.io/universal-hashing-family.htmlBuzz Spill Dailyen2026-08-26T03:53:12-04:00Universal hashing familyhttps://liberty.io/proof-of-intersection-and-union-of-set-a-with-empty-set.htmlBuzz Spill Dailyen2026-08-26T03:45:43-04:00Proof of intersection and union of Set A with Empty Sethttps://liberty.io/calculating-the-square-root-of-2.htmlBuzz Spill Dailyen2026-08-26T03:32:14-04:00Calculating the square root of 2https://liberty.io/convergent-or-divergent-integral.htmlBuzz Spill Dailyen2026-08-26T03:29:23-04:00Convergent or Divergent Integralhttps://liberty.io/differentiation-using-d-or-delta.htmlBuzz Spill Dailyen2026-08-26T03:27:24-04:00Differentiation, using d or deltahttps://liberty.io/limacon-cardioid-orientation-confusion.htmlBuzz Spill Dailyen2026-08-26T03:26:52-04:00Limacon/cardioid orientation confusionhttps://liberty.io/can-you-predict-the-remainder-when-111-1-100-ones-is-divided-by-111111.htmlBuzz Spill Dailyen2026-08-26T03:20:48-04:00Can you predict the remainder when 111...1 (100 ones) is divided by 1111111https://liberty.io/limits-at-infinity-involving-e.htmlBuzz Spill Dailyen2026-08-26T03:12:20-04:00Limits at infinity involving ehttps://liberty.io/for-u-substitution-of-a-definite-integral-is-it-acceptable-to-have-the.htmlBuzz Spill Dailyen2026-08-26T03:05:14-04:00For u-substitution of a definite integral, is it acceptable to have the limits (bounds) of the new integral equal to one another?https://liberty.io/inverse-of-random-variable.htmlBuzz Spill Dailyen2026-08-26T03:04:21-04:00Inverse of random variablehttps://liberty.io/stardew-valley-farm-recreational-math-problem.htmlBuzz Spill Dailyen2026-08-26T02:57:03-04:00Stardew Valley Farm -- Recreational Math Problemhttps://liberty.io/what-is-the-smallest-20-digit-number-with-at-least-13-distinct-prime-f.htmlBuzz Spill Dailyen2026-08-26T02:52:05-04:00What is the smallest $20$ digit number with at least $13$ distinct prime factors?