<?xml version="1.0" encoding="UTF-8"?><urlset xmlns="http://www.sitemaps.org/schemas/sitemap/0.9" xmlns:news="http://www.google.com/schemas/sitemap-news/0.9"><url><loc>https://liberty.io/how-to-solve-the-differential-equation-y-039-y-1-y.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T19:45:55-04:00</news:publication_date><news:title>How to solve the differential equation $y&amp;#039;=y(1-y)$.</news:title></news:news></url><url><loc>https://liberty.io/prove-e-ln-x-x.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T19:43:36-04:00</news:publication_date><news:title>Prove $e^{\ln{x}} = x$</news:title></news:news></url><url><loc>https://liberty.io/constructing-a-graph-from-a-degree-sequence.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T19:25:54-04:00</news:publication_date><news:title>Constructing a graph from a degree sequence</news:title></news:news></url><url><loc>https://liberty.io/calculate-overlapping-area-of-two-squares.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T19:24:56-04:00</news:publication_date><news:title>Calculate overlapping area of two squares</news:title></news:news></url><url><loc>https://liberty.io/definition-of-weak-topology.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T19:24:55-04:00</news:publication_date><news:title>Definition of weak-$*$ topology</news:title></news:news></url><url><loc>https://liberty.io/how-do-i-solve-algebraic-fractions-with-two-fractions-on-one-side.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T19:24:15-04:00</news:publication_date><news:title>How do I solve algebraic fractions with two fractions on one side?</news:title></news:news></url><url><loc>https://liberty.io/best-way-to-find-orthonormal-vector.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T19:19:42-04:00</news:publication_date><news:title>Best way to find orthonormal vector</news:title></news:news></url><url><loc>https://liberty.io/in-which-order-do-i-graph-transformations-of-functions.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T19:15:12-04:00</news:publication_date><news:title>In which order do I graph transformations of functions?</news:title></news:news></url><url><loc>https://liberty.io/missing-statement-in-a-proof-jordan-normal-form.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T19:14:44-04:00</news:publication_date><news:title>Missing statement in a proof Jordan normal form</news:title></news:news></url><url><loc>https://liberty.io/integrate-int-1-0-frac-r-3-sqrt-4-r-2-dr.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T19:12:48-04:00</news:publication_date><news:title>Integrate: $\int^1_0\frac{r^3}{\sqrt{4+r^2}}dr$</news:title></news:news></url><url><loc>https://liberty.io/determine-the-values-of-x-y-and-z-using-one-equation-with-three-variab.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T19:11:14-04:00</news:publication_date><news:title>Determine the values of x, y, and z using one equation with three variables [closed]</news:title></news:news></url><url><loc>https://liberty.io/polyhedrons-exclusively-made-out-of-even-sided-polygons.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T19:06:00-04:00</news:publication_date><news:title>Polyhedrons exclusively made out of even sided polygons</news:title></news:news></url><url><loc>https://liberty.io/if-sin-x-sin-pi-4-x-then-why-isn-039-t-x-x-pi-4.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T19:05:51-04:00</news:publication_date><news:title>If $\sin(x)=\sin(\pi/4 + x)$, then why isn&amp;#039;t $x=x+\pi/4$?</news:title></news:news></url><url><loc>https://liberty.io/motivation-for-spectral-graph-theory.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T19:03:24-04:00</news:publication_date><news:title>Motivation for spectral graph theory.</news:title></news:news></url><url><loc>https://liberty.io/for-which-values-of-x-does-this-series-converge.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T18:58:41-04:00</news:publication_date><news:title>For which values of $x$ does this series converge?</news:title></news:news></url><url><loc>https://liberty.io/meaning-of-the-symbol-oplus-closed.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T18:58:25-04:00</news:publication_date><news:title>Meaning of the symbol $\oplus$ [closed]</news:title></news:news></url><url><loc>https://liberty.io/how-to-change-the-curvature-of-a-function.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T18:56:14-04:00</news:publication_date><news:title>How to change the curvature of a function?</news:title></news:news></url><url><loc>https://liberty.io/how-many-solutions-ax-0-has.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T18:54:06-04:00</news:publication_date><news:title>How many solutions $Ax=0$ has</news:title></news:news></url><url><loc>https://liberty.io/about-trichotomy-law-for-real-numbers.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T18:53:13-04:00</news:publication_date><news:title>About "Trichotomy Law for Real Numbers"</news:title></news:news></url><url><loc>https://liberty.io/find-the-curvature-of-a-curve-at-the-given-point.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T18:50:48-04:00</news:publication_date><news:title>Find the curvature of a curve at the given point</news:title></news:news></url><url><loc>https://liberty.io/if-x-y-and-z-are-sets-prove-set-related-questions.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T18:49:37-04:00</news:publication_date><news:title>If X, Y and Z are sets, prove set related questions</news:title></news:news></url><url><loc>https://liberty.io/explanation-of-linearity-of-expectation.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T18:46:08-04:00</news:publication_date><news:title>Explanation of linearity of expectation</news:title></news:news></url><url><loc>https://liberty.io/subsets-in-linear-algebra.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T18:35:01-04:00</news:publication_date><news:title>Subsets in Linear Algebra</news:title></news:news></url><url><loc>https://liberty.io/tensor-product-and-matrix-multiplication-distributive-properties.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T18:33:19-04:00</news:publication_date><news:title>tensor product and matrix multiplication distributive properties</news:title></news:news></url><url><loc>https://liberty.io/is-there-such-a-thing-as-partial-integration.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T18:22:09-04:00</news:publication_date><news:title>Is there such a thing as partial integration?</news:title></news:news></url><url><loc>https://liberty.io/can-someone-explain-this-proof-of-the-product-property-of-square-roots.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T18:14:12-04:00</news:publication_date><news:title>Can someone explain this proof of the product property of square roots?</news:title></news:news></url><url><loc>https://liberty.io/find-all-values-of-theta-such-that-cos-2-theta-1-2.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T18:11:56-04:00</news:publication_date><news:title>Find all values of $\theta$ such that $cos(2\theta)=1/2$</news:title></news:news></url><url><loc>https://liberty.io/geometry-and-topology.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T18:02:27-04:00</news:publication_date><news:title>geometry and topology</news:title></news:news></url><url><loc>https://liberty.io/what-type-of-graph-is-y-1-x-2.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T17:58:38-04:00</news:publication_date><news:title>What type of graph is $y=1/(x^2)$</news:title></news:news></url><url><loc>https://liberty.io/poker-hand-probability-of-getting-4-cards-of-equal-face-value-and-1-ca.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T17:49:45-04:00</news:publication_date><news:title>poker hand: probability of getting 4 cards of equal face value and 1 card of a different value</news:title></news:news></url><url><loc>https://liberty.io/dfa-accept-all-prefix-of-every-word-in-the-regular-language-l.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T17:47:01-04:00</news:publication_date><news:title>dfa accept all prefix of every word in the regular language L?</news:title></news:news></url><url><loc>https://liberty.io/determining-if-a-binary-string-represents-a-prime-integer.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T17:46:10-04:00</news:publication_date><news:title>Determining if a binary string represents a prime integer</news:title></news:news></url><url><loc>https://liberty.io/are-some-infinities-really-bigger-than-others-closed.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T17:38:38-04:00</news:publication_date><news:title>Are some infinities really bigger than others? [closed]</news:title></news:news></url><url><loc>https://liberty.io/what-are-the-most-overpowered-theorems-in-mathematics-closed.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T17:38:22-04:00</news:publication_date><news:title>What are the most overpowered theorems in mathematics? [closed]</news:title></news:news></url><url><loc>https://liberty.io/convolution-of-two-dimensional-gaussian-functions.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T17:30:48-04:00</news:publication_date><news:title>Convolution of two dimensional gaussian functions</news:title></news:news></url><url><loc>https://liberty.io/understanding-inverse-logic.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T17:27:39-04:00</news:publication_date><news:title>Understanding Inverse Logic</news:title></news:news></url><url><loc>https://liberty.io/moment-generating-function-for-multivariate-normal.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T17:26:31-04:00</news:publication_date><news:title>Moment generating function for multivariate normal</news:title></news:news></url><url><loc>https://liberty.io/linear-transformations-and-finding-the-identity-transformation.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T17:11:59-04:00</news:publication_date><news:title>Linear transformations and finding the identity transformation</news:title></news:news></url><url><loc>https://liberty.io/prove-that-7-n-1-is-divisible-by-6-duplicate.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T16:49:34-04:00</news:publication_date><news:title>Prove that $7^n - 1$ is divisible by 6 [duplicate]</news:title></news:news></url><url><loc>https://liberty.io/definition-of-continuum.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T16:47:50-04:00</news:publication_date><news:title>Definition of continuum</news:title></news:news></url><url><loc>https://liberty.io/calculating-a-point-that-lies-on-an-ellipse-given-an-angle.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T16:46:04-04:00</news:publication_date><news:title>Calculating a Point that lies on an Ellipse given an Angle</news:title></news:news></url><url><loc>https://liberty.io/in-a-binary-vector-x-in-0-1-k-what-does-the-k-mean.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T16:30:51-04:00</news:publication_date><news:title>In a binary vector $ x \in \{0,1\}^{k}$ what does the $^{k}$ mean?</news:title></news:news></url><url><loc>https://liberty.io/solving-the-heat-equation-using-the-separation-of-variables.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T16:26:13-04:00</news:publication_date><news:title>Solving the heat equation using the separation of variables</news:title></news:news></url><url><loc>https://liberty.io/about-cardano-039-s-formula-and-the-cubic-equation.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T16:22:40-04:00</news:publication_date><news:title>About Cardano&amp;#039;s formula and the cubic equation</news:title></news:news></url><url><loc>https://liberty.io/applications-of-linear-systems-of-differential-equations.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T16:20:47-04:00</news:publication_date><news:title>applications of linear systems of differential equations</news:title></news:news></url><url><loc>https://liberty.io/closest-point-on-a-line-to-another-point.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T16:12:14-04:00</news:publication_date><news:title>Closest point on a line to another point</news:title></news:news></url><url><loc>https://liberty.io/how-are-second-order-nonlinear-ordinary-differential-equations-solved.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T16:09:46-04:00</news:publication_date><news:title>How are second order nonlinear ordinary differential equations solved?</news:title></news:news></url><url><loc>https://liberty.io/symbol-for-the-number-of-elements-in-a-set.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T16:09:22-04:00</news:publication_date><news:title>Symbol for the number of elements in a set</news:title></news:news></url><url><loc>https://liberty.io/is-it-possible-to-calculate-sine-by-hand-duplicate.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T16:04:23-04:00</news:publication_date><news:title>Is it possible to calculate sine by hand? [duplicate]</news:title></news:news></url><url><loc>https://liberty.io/stability-of-solution.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T15:52:57-04:00</news:publication_date><news:title>Stability of solution</news:title></news:news></url><url><loc>https://liberty.io/euler-theorem-039-s-inverse-proposition-in-number-theory.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T15:51:25-04:00</news:publication_date><news:title>Euler theorem&amp;#039;s inverse proposition in number theory</news:title></news:news></url><url><loc>https://liberty.io/why-does-the-series-sum-n-1-infty-frac1n-not-converge.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T15:51:06-04:00</news:publication_date><news:title>Why does the series $\sum_{n=1}^\infty\frac1n$ not converge?</news:title></news:news></url><url><loc>https://liberty.io/why-do-the-rules-of-horizontal-asymptotes-of-rational-functions-work.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T15:45:10-04:00</news:publication_date><news:title>Why do the "rules" of horizontal asymptotes of rational functions work?</news:title></news:news></url><url><loc>https://liberty.io/did-i-just-discover-a-new-way-to-calculate-the-signature-of-a-matrix.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T15:31:22-04:00</news:publication_date><news:title>Did I just discover a new way to calculate the signature of a matrix?</news:title></news:news></url><url><loc>https://liberty.io/theorem-of-generalization-logic.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T15:29:55-04:00</news:publication_date><news:title>Theorem of Generalization- Logic</news:title></news:news></url><url><loc>https://liberty.io/transformation-of-unit-vectors-from-cartesian-coordinate-to-cylindrica.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T15:25:28-04:00</news:publication_date><news:title>Transformation of unit vectors from cartesian coordinate to cylindrical coordinate</news:title></news:news></url><url><loc>https://liberty.io/reduce-specific-cubic-equation-to-quadratic.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T15:24:17-04:00</news:publication_date><news:title>Reduce specific cubic equation to quadratic</news:title></news:news></url><url><loc>https://liberty.io/centre-of-mass-on-a-sphere.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T15:18:42-04:00</news:publication_date><news:title>Centre of mass on a sphere</news:title></news:news></url><url><loc>https://liberty.io/branching-process-interpretation-of-giant-component.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T15:16:13-04:00</news:publication_date><news:title>Branching process interpretation of giant component</news:title></news:news></url><url><loc>https://liberty.io/duality-with-a-stochastic-matrix.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T15:15:12-04:00</news:publication_date><news:title>Duality with a stochastic matrix</news:title></news:news></url><url><loc>https://liberty.io/is-every-bounded-sequence-convergent-closed.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T14:39:59-04:00</news:publication_date><news:title>Is every bounded sequence convergent? [closed]</news:title></news:news></url><url><loc>https://liberty.io/why-are-all-prime-numbers-are-congruent-to-1-or-5-mod6-duplicate.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T14:39:10-04:00</news:publication_date><news:title>Why are all prime numbers are congruent to 1 or 5 (mod6)? [duplicate]</news:title></news:news></url><url><loc>https://liberty.io/is-a-sequence-of-all-the-same-numbers-monotonic.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T14:30:08-04:00</news:publication_date><news:title>Is a sequence of all the same numbers monotonic?</news:title></news:news></url><url><loc>https://liberty.io/can-a-piece-of-a4-paper-be-folded-so-that-it-039-s-thick-enough-to-rea.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T14:24:03-04:00</news:publication_date><news:title>Can a piece of A4 paper be folded so that it&amp;#039;s thick enough to reach the moon?</news:title></news:news></url><url><loc>https://liberty.io/derivative-over-the-function-itself.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T14:23:15-04:00</news:publication_date><news:title>Derivative over the function itself</news:title></news:news></url><url><loc>https://liberty.io/how-to-find-in-which-number-base-the-operation-was-done-by-looking-at-.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T14:12:34-04:00</news:publication_date><news:title>How to find in which number base the operation was done by looking at the corresponding operation in decimal system?</news:title></news:news></url><url><loc>https://liberty.io/how-to-explain-what-it-means-to-say-a-function-is-defined-on-an-interv.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T14:07:29-04:00</news:publication_date><news:title>How to explain what it means to say a function is "defined" on an interval?</news:title></news:news></url><url><loc>https://liberty.io/error-of-taylor-series.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T14:07:04-04:00</news:publication_date><news:title>Error of Taylor Series?</news:title></news:news></url><url><loc>https://liberty.io/how-to-find-the-average-value-of-y-e-x-between-x-e-and-x-2e-closed.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T14:04:03-04:00</news:publication_date><news:title>How to find the average value of $y = e^x$ between $x = e$ and $x = 2e$? [closed]</news:title></news:news></url><url><loc>https://liberty.io/which-of-these-event-can-be-represented-in-either-a-venn-diagram-and-t.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T14:03:10-04:00</news:publication_date><news:title>Which of these event can be represented in either a Venn diagram and tree diagram ?</news:title></news:news></url><url><loc>https://liberty.io/how-do-you-find-the-number-that-corresponds-to-quartile-1-when-given-a.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T14:01:46-04:00</news:publication_date><news:title>How do you find the number that corresponds to Quartile 1, when given an even number of scores?</news:title></news:news></url><url><loc>https://liberty.io/general-solution-to-wave-equation-algebraic-approach.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T13:46:51-04:00</news:publication_date><news:title>General solution to Wave Equation (algebraic approach)</news:title></news:news></url><url><loc>https://liberty.io/prove-that-if-x-and-y-are-sequences-such-that-x-converges-to-x-neq-0-a.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T13:45:59-04:00</news:publication_date><news:title>Prove that if $X$ and $Y$ are sequences such that $X$ converges to $x\neq 0$ and $XY$ converges, then $Y$ converges</news:title></news:news></url><url><loc>https://liberty.io/proof-by-induction-binomial-theorem.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T13:37:34-04:00</news:publication_date><news:title>Proof by induction (binomial theorem)</news:title></news:news></url><url><loc>https://liberty.io/cofree-construction-thought-process.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T13:34:00-04:00</news:publication_date><news:title>Cofree construction, thought process</news:title></news:news></url><url><loc>https://liberty.io/expressing-5-8-sqrt-40-56-4-5-8-sqrt-10-56-4-in-simplified-radical-for.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T13:33:57-04:00</news:publication_date><news:title>Expressing $(5.8\sqrt{40} + 56.4) - (5.8\sqrt{10} + 56.4)$ in simplified radical form</news:title></news:news></url><url><loc>https://liberty.io/how-many-solutions-does-riemann-039-s-p-symbol-describe.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T13:21:15-04:00</news:publication_date><news:title>How many solutions does Riemann&amp;#039;s P-symbol describe?</news:title></news:news></url><url><loc>https://liberty.io/improper-integral-of-sin-x-x-from-zero-to-infinity-duplicate.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T13:13:40-04:00</news:publication_date><news:title>Improper integral of sin(x)/x from zero to infinity [duplicate]</news:title></news:news></url><url><loc>https://liberty.io/why-use-the-letter-k-in-the-function-transformation-formula-f-x-h-k.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T13:10:28-04:00</news:publication_date><news:title>Why use the letter "k" in the function transformation formula $f(x - h) + k$?</news:title></news:news></url><url><loc>https://liberty.io/how-to-prove-that-two-lines-in-3d-are-not-parallel-and-do-not-intersec.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T13:10:06-04:00</news:publication_date><news:title>How to prove that two lines in 3D are not parallel and do not intersect; also, how to find the distance between them?</news:title></news:news></url><url><loc>https://liberty.io/the-degree-of-a-polynomial-which-also-has-negative-exponents.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T12:49:42-04:00</news:publication_date><news:title>The degree of a polynomial which also has negative exponents.</news:title></news:news></url><url><loc>https://liberty.io/hausdorff-topological-space.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T12:48:07-04:00</news:publication_date><news:title>Hausdorff Topological Space</news:title></news:news></url><url><loc>https://liberty.io/what-is-arctan-9-in-terms-of-pi.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T12:46:00-04:00</news:publication_date><news:title>What is $\arctan (9)$ in terms of $\pi$?</news:title></news:news></url><url><loc>https://liberty.io/almost-complex-manifolds-are-orientable.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T12:35:15-04:00</news:publication_date><news:title>Almost complex manifolds are orientable</news:title></news:news></url><url><loc>https://liberty.io/is-the-square-root-of-negative-1-equal-to-i-or-is-it-equal-to-plus-or-.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T12:32:58-04:00</news:publication_date><news:title>Is the square root of negative 1 equal to i or is it equal to plus or minus i? [duplicate]</news:title></news:news></url><url><loc>https://liberty.io/user-jiayin-pan-mathematics-stack-exchange.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T12:30:56-04:00</news:publication_date><news:title>User Jiayin Pan - Mathematics Stack Exchange</news:title></news:news></url><url><loc>https://liberty.io/probability-of-getting-a-pair-in-texas-hold-039-em-poker.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T12:16:52-04:00</news:publication_date><news:title>Probability of getting a pair in Texas Hold&amp;#039;em poker</news:title></news:news></url><url><loc>https://liberty.io/expected-value-of-square-of-euclidean-norm-of-a-gaussian-random-vector.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T11:40:26-04:00</news:publication_date><news:title>Expected value of square of Euclidean norm of a gaussian random vector</news:title></news:news></url><url><loc>https://liberty.io/difference-between-omitting-the-multiplication-sign-and-keeping-it-dup.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T11:33:42-04:00</news:publication_date><news:title>Difference between Omitting the multiplication sign and keeping it [duplicate]</news:title></news:news></url><url><loc>https://liberty.io/show-that-the-equation-represents-a-circle-and-find-the-centre.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T11:25:08-04:00</news:publication_date><news:title>show that the equation represents a circle and find the centre</news:title></news:news></url><url><loc>https://liberty.io/what-is-infinite-horizon-problem.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T11:25:01-04:00</news:publication_date><news:title>What is infinite horizon problem?</news:title></news:news></url><url><loc>https://liberty.io/how-to-show-that-derivative-of-phi-v-with-respect-to-v-is-phi-039-v-a-.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T11:23:42-04:00</news:publication_date><news:title>How to show that derivative of $\phi(v)$ with respect to $v$ is $\phi&amp;#039;( v)= a(1-\phi^2(v))/2$</news:title></news:news></url><url><loc>https://liberty.io/how-can-i-define-an-infinitely-small-positive-value.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T11:22:22-04:00</news:publication_date><news:title>How can I define an infinitely small positive value?</news:title></news:news></url><url><loc>https://liberty.io/three-dimensional-random-walk.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T11:19:04-04:00</news:publication_date><news:title>Three-Dimensional Random Walk</news:title></news:news></url><url><loc>https://liberty.io/the-product-of-two-positive-definite-matrices-has-real-and-positive-ei.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T11:14:03-04:00</news:publication_date><news:title>The product of two positive definite matrices has real and positive eigenvalues? [duplicate]</news:title></news:news></url><url><loc>https://liberty.io/how-to-find-distance-between-two-different-circles.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T11:04:00-04:00</news:publication_date><news:title>How to find distance between two different circles</news:title></news:news></url><url><loc>https://liberty.io/find-the-number-of-roots-of-a-polynomial-using-rouche-039-s-theorem.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T11:03:01-04:00</news:publication_date><news:title>Find the number of roots of a polynomial using Rouche&amp;#039;s Theorem</news:title></news:news></url><url><loc>https://liberty.io/how-to-calculate-log-x-1-2-log-16-1-3-log-8-1.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T10:57:56-04:00</news:publication_date><news:title>How to calculate $\log(x) = 1/2\log(16) - 1/3\log(8) + 1$</news:title></news:news></url><url><loc>https://liberty.io/how-do-you-work-out-the-angle-in-this-square.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T10:55:14-04:00</news:publication_date><news:title>How do you work out the angle in this square?</news:title></news:news></url><url><loc>https://liberty.io/interpreting-meaning-of-cauchy-series-not-sequence.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-23T10:49:32-04:00</news:publication_date><news:title>Interpreting meaning of "Cauchy series" (not sequence)</news:title></news:news></url></urlset>