https://liberty.io/mathematical-notation-for-distinct-numbers.htmlBuzz Spill Dailyen2026-08-28T11:17:31-04:00Mathematical notation for distinct numbershttps://liberty.io/equations-for-cubic-regression.htmlBuzz Spill Dailyen2026-08-28T11:09:24-04:00Equations for Cubic Regressionhttps://liberty.io/depressed-cubic.htmlBuzz Spill Dailyen2026-08-28T11:05:09-04:00Depressed cubichttps://liberty.io/equation-for-curves-of-high-density-in-bifurcation-diagram.htmlBuzz Spill Dailyen2026-08-28T10:55:43-04:00Equation for curves of high density in bifurcation diagramhttps://liberty.io/how-to-compute-confidence-interval-for-variance-with-unknown-mean-from.htmlBuzz Spill Dailyen2026-08-28T10:50:25-04:00How to compute confidence interval for variance with unknown mean from a normal $(a,\sigma ^2)$ sample?https://liberty.io/is-there-a-symbol-for-antiparallel.htmlBuzz Spill Dailyen2026-08-28T10:24:28-04:00Is there a symbol for antiparallel?https://liberty.io/divergence-of-series-with-n-factorial.htmlBuzz Spill Dailyen2026-08-28T10:12:48-04:00Divergence of series with n factorialhttps://liberty.io/probably-an-easy-question-e-2-ln-3-without-a-calculator.htmlBuzz Spill Dailyen2026-08-28T10:11:04-04:00Probably an easy question: $e^{2\ln(3)}$ without a calculatorhttps://liberty.io/angle-between-curves-at-point-of-intersection.htmlBuzz Spill Dailyen2026-08-28T10:08:10-04:00Angle between curves at point of intersectionhttps://liberty.io/arc-length-definition.htmlBuzz Spill Dailyen2026-08-28T10:07:37-04:00Arc length definitionhttps://liberty.io/how-does-the-focus-directrix-definition-of-a-conic-section-apply-to-a-.htmlBuzz Spill Dailyen2026-08-28T10:06:06-04:00How does the focus-directrix definition of a conic section apply to a circle?https://liberty.io/how-to-solve-x-2-3-4.htmlBuzz Spill Dailyen2026-08-28T10:06:05-04:00How to solve $x^{2/3}=4$?https://liberty.io/simple-theorems-that-are-instances-of-deep-mathematics.htmlBuzz Spill Dailyen2026-08-28T10:04:56-04:00Simple theorems that are instances of deep mathematicshttps://liberty.io/why-is-i-2-equal-to-1-duplicate.htmlBuzz Spill Dailyen2026-08-28T09:54:34-04:00Why is $i^2$ equal to $-1$? [duplicate]https://liberty.io/block-matrix-multiplication.htmlBuzz Spill Dailyen2026-08-28T09:54:13-04:00block matrix multiplicationhttps://liberty.io/pick-5-box-play-pa-lottery-odds.htmlBuzz Spill Dailyen2026-08-28T09:48:34-04:00Pick 5 Box play PA Lottery oddshttps://liberty.io/how-long-does-the-ball-take-to-reach-half-of-its-terminal-velocity.htmlBuzz Spill Dailyen2026-08-28T09:44:02-04:00How long does the ball take to reach half of its terminal velocity?https://liberty.io/how-can-i-graph-the-derivative-of-1-4th-of-a-circle-or-a-semicircle-in.htmlBuzz Spill Dailyen2026-08-28T09:42:16-04:00How can I graph the derivative of 1/4th of a circle or a semicircle in a piecewise function? (Also other kinds of piecewise functions)https://liberty.io/sum-and-difference-of-tangents-in-degrees-duplicate.htmlBuzz Spill Dailyen2026-08-28T09:38:05-04:00Sum and difference of tangents in degrees [duplicate]https://liberty.io/adding-2-absolute-values-together-x-2-x-3-5-duplicate.htmlBuzz Spill Dailyen2026-08-28T09:36:55-04:00Adding $2$ absolute values together: $|x+2| + |x-3| =5.$ [duplicate]https://liberty.io/rectangular-box-optimization-problem.htmlBuzz Spill Dailyen2026-08-28T09:27:34-04:00Rectangular Box Optimization Problemhttps://liberty.io/create-an-isosceles-triangle-from-only-equilateral-triangles-possible-.htmlBuzz Spill Dailyen2026-08-28T09:26:15-04:00Create an isosceles triangle from only equilateral triangles. Possible or impossible?https://liberty.io/expected-waiting-time-for-bus.htmlBuzz Spill Dailyen2026-08-28T09:19:59-04:00Expected waiting time for bushttps://liberty.io/conditions-for-the-mean-value-theorem.htmlBuzz Spill Dailyen2026-08-28T09:13:34-04:00Conditions for the mean value theoremhttps://liberty.io/verification-of-proof-for-when-a-number-is-divisible-by-4.htmlBuzz Spill Dailyen2026-08-28T09:09:57-04:00Verification of proof for when a number is divisible by 4https://liberty.io/root-test-applied-to-power-series.htmlBuzz Spill Dailyen2026-08-28T08:57:29-04:00root test applied to power serieshttps://liberty.io/subtract-binary-numbers-with-1-s-complement.htmlBuzz Spill Dailyen2026-08-28T08:56:09-04:00Subtract Binary Numbers with 1`s Complementhttps://liberty.io/product-of-banded-matrices.htmlBuzz Spill Dailyen2026-08-28T08:52:25-04:00Product of banded matriceshttps://liberty.io/norm-of-multiplication-and-multiplication-of-norms.htmlBuzz Spill Dailyen2026-08-28T08:51:24-04:00Norm of multiplication and multiplication of normshttps://liberty.io/difference-between-magnitude-of-gradient-vs-directional-derivative-of-.htmlBuzz Spill Dailyen2026-08-28T08:50:31-04:00Difference between magnitude of gradient vs directional derivative of gradienthttps://liberty.io/how-does-the-second-derivative-imply-concavity.htmlBuzz Spill Dailyen2026-08-28T08:49:33-04:00How does the second derivative imply concavity?https://liberty.io/optimal-strategy-for-deal-or-no-deal.htmlBuzz Spill Dailyen2026-08-28T08:46:23-04:00Optimal Strategy for Deal or No Dealhttps://liberty.io/finding-the-exact-value-of-tan-pi-5.htmlBuzz Spill Dailyen2026-08-28T08:33:23-04:00Finding the exact value of $\tan(\pi/5)$https://liberty.io/puzzle-123456789-100-with-three-operations.htmlBuzz Spill Dailyen2026-08-28T08:30:30-04:00Puzzle - 123456789 = 100 with three operations?https://liberty.io/actually-playable-games-based-on-graphs.htmlBuzz Spill Dailyen2026-08-28T08:29:01-04:00Actually playable games based on graphs?https://liberty.io/how-to-show-c-n-k-c-n-n-k.htmlBuzz Spill Dailyen2026-08-28T08:21:55-04:00How to show C(n,k)= C(n,n-k)https://liberty.io/find-a-second-degree-polynomial-that-goes-through-3-points.htmlBuzz Spill Dailyen2026-08-28T08:17:37-04:00Find a second degree polynomial that goes through 3 pointshttps://liberty.io/why-is-there-no-online-record-of-pentagram-area-formula-closed.htmlBuzz Spill Dailyen2026-08-28T08:14:30-04:00Why is there no online record of pentagram area formula? [closed]https://liberty.io/how-to-find-the-roots-of-x-4-1.htmlBuzz Spill Dailyen2026-08-28T08:14:18-04:00How to find the roots of $x^4 +1$https://liberty.io/differential-geometry-and-transition-maps-as-communative-diagrams.htmlBuzz Spill Dailyen2026-08-28T08:10:19-04:00Differential geometry and transition maps as communative diagramshttps://liberty.io/the-derivative-of-log-2-n-5.htmlBuzz Spill Dailyen2026-08-28T08:07:22-04:00The derivative of $(\log_2 n)^5$?https://liberty.io/finding-all-orthogonal-matrices-of-a-given-form.htmlBuzz Spill Dailyen2026-08-28T08:03:27-04:00Finding all orthogonal matrices of a given formhttps://liberty.io/lusin-039-s-theorem-proof-verification-folland-chap-2-exercise-44.htmlBuzz Spill Dailyen2026-08-28T08:00:38-04:00Lusin's Theorem - Proof Verification (Folland Chap 2, Exercise 44)https://liberty.io/can-i-break-up-log-a-b.htmlBuzz Spill Dailyen2026-08-28T07:52:45-04:00Can I break up $\log(a - b)$?https://liberty.io/how-to-find-whether-equation-of-angle-bisector-represents-the-obtuse-o.htmlBuzz Spill Dailyen2026-08-28T07:48:41-04:00How to find whether equation of angle bisector represents the obtuse or acute angle bisector of two given straight lines?https://liberty.io/chance-on-throwing-a-six-with-6-dice.htmlBuzz Spill Dailyen2026-08-28T07:47:09-04:00chance on throwing a six with 6 dicehttps://liberty.io/why-is-gradient-the-direction-of-steepest-ascent.htmlBuzz Spill Dailyen2026-08-28T07:42:25-04:00Why is gradient the direction of steepest ascent?https://liberty.io/sequence-series-convergence-of-2-2n-3-1-n.htmlBuzz Spill Dailyen2026-08-28T07:40:14-04:00sequence /series convergence of 2^2n 3^(1-n)https://liberty.io/vertex-and-edge-connectivity-of-a-graph.htmlBuzz Spill Dailyen2026-08-28T07:40:00-04:00Vertex and edge connectivity of a graphhttps://liberty.io/general-formula-for-a-diagonal-parabola.htmlBuzz Spill Dailyen2026-08-28T07:33:18-04:00General formula for a diagonal parabola.https://liberty.io/natural-log-of-pi-to-sixty-digits-a-reference-needed.htmlBuzz Spill Dailyen2026-08-28T07:29:49-04:00natural log of pi to sixty digits, a reference neededhttps://liberty.io/function-with-an-asymptote-at-y-1-and-y-1-closed.htmlBuzz Spill Dailyen2026-08-28T07:26:38-04:00Function with an asymptote at y=-1 and y=1 [closed]https://liberty.io/calculating-linear-velocity.htmlBuzz Spill Dailyen2026-08-28T07:25:03-04:00Calculating linear velocityhttps://liberty.io/normalization-condition-and-phase-constant.htmlBuzz Spill Dailyen2026-08-28T07:24:16-04:00Normalization condition and phase constant(/)https://liberty.io/extended-3-square-problem.htmlBuzz Spill Dailyen2026-08-28T07:21:56-04:00Extended $3$square problemhttps://liberty.io/negation-of-the-definition-of-limit-of-a-function.htmlBuzz Spill Dailyen2026-08-28T07:11:44-04:00Negation of the Definition of Limit of a Functionhttps://liberty.io/analyticity-and-removable-singularity.htmlBuzz Spill Dailyen2026-08-28T07:09:32-04:00Analyticity and removable singularityhttps://liberty.io/how-should-i-study-the-matrix-cookbook.htmlBuzz Spill Dailyen2026-08-28T06:53:25-04:00How should I study The Matrix Cookbook?https://liberty.io/area-of-a-circular-segment.htmlBuzz Spill Dailyen2026-08-28T06:52:00-04:00Area of a circular segment.https://liberty.io/proof-of-the-deduction-theorem-explanation.htmlBuzz Spill Dailyen2026-08-28T06:33:19-04:00Proof of the deduction theorem explanationhttps://liberty.io/how-are-c-0-c-1-norms-defined.htmlBuzz Spill Dailyen2026-08-28T06:26:24-04:00How are $C^0,C^1$ norms definedhttps://liberty.io/can-you-disprove-this-rule-pedmsa-division-before-multiplication-subtr.htmlBuzz Spill Dailyen2026-08-28T06:25:58-04:00can you disprove this rule PEDMSA?-(division before multiplication, subtraction before addition)https://liberty.io/what-is-approximation-theory.htmlBuzz Spill Dailyen2026-08-28T06:23:41-04:00What is "Approximation Theory"?https://liberty.io/what-is-an-imaginary-line.htmlBuzz Spill Dailyen2026-08-28T06:22:13-04:00What is an imaginary line?https://liberty.io/nice-examples-of-groups-which-are-not-obviously-groups.htmlBuzz Spill Dailyen2026-08-28T06:11:50-04:00Nice examples of groups which are not obviously groupshttps://liberty.io/formula-for-continuously-dividing-by-2.htmlBuzz Spill Dailyen2026-08-28T06:02:34-04:00Formula for continuously dividing by 2https://liberty.io/dividing-matrices.htmlBuzz Spill Dailyen2026-08-28T05:55:20-04:00Dividing matriceshttps://liberty.io/prove-that-a-x-b-y-0-where-x-sqrt-log-a-b-y-sqrt-log-b-a-a-0-b-0-a-b-n.htmlBuzz Spill Dailyen2026-08-28T05:47:28-04:00Prove that $a^x - b^y = 0$ where $x = \sqrt{\log_a b}$ & $y = \sqrt{\log_b a}$ , $a > 0$, $b > 0$ & $a, b \ne1$https://liberty.io/eigenvalues-of-product-matrix.htmlBuzz Spill Dailyen2026-08-28T05:46:21-04:00Eigenvalues of product matrixhttps://liberty.io/what-is-the-purpose-of-the-limit.htmlBuzz Spill Dailyen2026-08-28T05:39:00-04:00What is the purpose of the limit?https://liberty.io/prove-that-two-equations-are-equivalent.htmlBuzz Spill Dailyen2026-08-28T05:34:59-04:00Prove, that two equations are equivalenthttps://liberty.io/finding-d-in-rsa.htmlBuzz Spill Dailyen2026-08-28T05:33:27-04:00Finding d in RSA.https://liberty.io/cartesian-product-with-three-sets.htmlBuzz Spill Dailyen2026-08-28T05:28:43-04:00Cartesian product with three setshttps://liberty.io/integration-with-respect-to-dx-dy-and-dz-more-than-one-variable.htmlBuzz Spill Dailyen2026-08-28T05:22:33-04:00Integration with respect to dx, dy and dz (More than one variable)https://liberty.io/numbers-in-a-list-which-are-perfect-squares-and-perfect-cubes-of-numbe.htmlBuzz Spill Dailyen2026-08-28T05:14:59-04:00Numbers in a list which are perfect squares and perfect cubes of numbershttps://liberty.io/how-do-i-find-the-value-of-a-partial-sum-without-calculator.htmlBuzz Spill Dailyen2026-08-28T04:53:57-04:00How do I find the value of a partial sum without calculator?https://liberty.io/does-anyone-know-a-simple-proof-for-the-fundamental-theorem-of-finitel.htmlBuzz Spill Dailyen2026-08-28T04:25:46-04:00Does anyone know a simple proof for the fundamental theorem of finitely generated abelian group?https://liberty.io/wedge-sum-example.htmlBuzz Spill Dailyen2026-08-28T04:23:11-04:00Wedge Sum Examplehttps://liberty.io/using-fsolve-to-solve-non-linear-equations-in-matlab.htmlBuzz Spill Dailyen2026-08-28T04:21:10-04:00using fsolve to solve non-linear equations in matlabhttps://liberty.io/is-this-the-correct-notation.htmlBuzz Spill Dailyen2026-08-28T04:20:49-04:00Is this the correct notation?https://liberty.io/why-does-the-sum-of-inverse-squares-equal-pi-2-6-duplicate.htmlBuzz Spill Dailyen2026-08-28T04:00:35-04:00Why does the sum of inverse squares equal $\pi^2/6$? [duplicate]https://liberty.io/inverse-of-a-step-function.htmlBuzz Spill Dailyen2026-08-28T03:58:29-04:00"Inverse" of a step functionhttps://liberty.io/how-to-calculate-recurring-probability.htmlBuzz Spill Dailyen2026-08-28T03:41:12-04:00How to calculate recurring probabilityhttps://liberty.io/how-do-the-sets-emptyset-times-b-a-times-emptyset-emptyset-times-empty.htmlBuzz Spill Dailyen2026-08-28T03:30:25-04:00How do the sets $\emptyset\times B,\ A\ \times \emptyset, \ \emptyset \times \emptyset $ look like?https://liberty.io/find-the-12th-term-and-the-sum-of-the-first-12-terms-of-a-geometric-se.htmlBuzz Spill Dailyen2026-08-28T03:27:47-04:00Find the 12th term and the sum of the first 12 terms of a geometric sequence.https://liberty.io/intuition-for-dense-sets-real-analysis.htmlBuzz Spill Dailyen2026-08-28T03:25:35-04:00Intuition for dense sets. (Real analysis)https://liberty.io/finite-and-infinite-speed-of-propagation-for-wave-and-heat-equation.htmlBuzz Spill Dailyen2026-08-28T03:13:44-04:00Finite and infinite speed of propagation for wave and heat equationhttps://liberty.io/why-are-direct-proofs-often-considered-better-than-indirect-proofs-clo.htmlBuzz Spill Dailyen2026-08-28T03:12:37-04:00Why are direct proofs often considered better than indirect proofs? [closed]https://liberty.io/finding-all-complex-z-that-satisfy-z-4-4z-8-0.htmlBuzz Spill Dailyen2026-08-28T03:03:55-04:00Finding all complex $z$ that satisfy $z^4+4z+8=0$https://liberty.io/what-is-the-most-unusual-proof-you-know-that-sqrt-2-is-irrational.htmlBuzz Spill Dailyen2026-08-28T03:03:45-04:00What is the most unusual proof you know that $\sqrt{2}$ is irrational?https://liberty.io/solve-the-equation-x-2-frac-9x-2-x-3-2-27.htmlBuzz Spill Dailyen2026-08-28T02:55:04-04:00Solve the equation $x^2+\frac{9x^2}{(x+3)^2}=27$https://liberty.io/4-x-4-x-1-24-what-is-the-value-of-2x-x.htmlBuzz Spill Dailyen2026-08-28T02:52:27-04:00$4^x-4^{x-1}=24$ what is the value of $(2x)^x$?"https://liberty.io/logarithmic-equation-solve-for-x.htmlBuzz Spill Dailyen2026-08-28T02:44:48-04:00Logarithmic Equation: Solve for $x$https://liberty.io/how-can-a-solid-with-semi-circular-cross-sections-be-perpendicular-to-.htmlBuzz Spill Dailyen2026-08-28T02:27:33-04:00How can a solid with semi-circular cross sections be perpendicular to the x axis?https://liberty.io/simplest-known-solution-to-world-039-s-hardest-easy-geometry-problem.htmlBuzz Spill Dailyen2026-08-28T02:21:49-04:00Simplest known solution to "World's Hardest Easy Geometry Problem"?https://liberty.io/how-to-show-that-pi-pi-is-not-a-integer.htmlBuzz Spill Dailyen2026-08-28T02:19:37-04:00How to show that $\pi^\pi$ is not a integer?https://liberty.io/proving-cos-x-2-sin-x-2-1.htmlBuzz Spill Dailyen2026-08-28T02:09:52-04:00Proving $\cos(x)^2+\sin(x)^2=1$https://liberty.io/converting-the-equation-of-the-line-to-the-vector-and-symmetric-forms-.htmlBuzz Spill Dailyen2026-08-28T02:04:10-04:00Converting the equation of the line to the vector and symmetric forms of the equation.https://liberty.io/is-the-number-8-special-in-turning-a-sphere-inside-out.htmlBuzz Spill Dailyen2026-08-28T02:01:58-04:00Is the number 8 special in turning a sphere inside out?https://liberty.io/finding-the-equation-of-the-tangent-in-slope-intercept-form-at-a-parti.htmlBuzz Spill Dailyen2026-08-28T02:01:41-04:00Finding the equation of the tangent (in slope-intercept form) at a particular point?