<?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/separating-the-variables-in-a-2nd-order-ode.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T16:45:48-04:00</news:publication_date><news:title>"Separating the variables" in a 2nd order ODE</news:title></news:news></url><url><loc>https://liberty.io/how-many-significant-figures-in-this-negative-number.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T16:27:29-04:00</news:publication_date><news:title>How many significant figures in this negative number?</news:title></news:news></url><url><loc>https://liberty.io/what-is-the-rule-for-something-divided-by-itself-equaling-1.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T16:20:28-04:00</news:publication_date><news:title>What is the rule for something divided by itself equaling 1?</news:title></news:news></url><url><loc>https://liberty.io/prerequisites-books-for-a-first-course-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>2026-08-15T16:07:20-04:00</news:publication_date><news:title>Prerequisites/Books for A First Course in Linear Algebra</news:title></news:news></url><url><loc>https://liberty.io/solving-vector-equation.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T16:06:15-04:00</news:publication_date><news:title>Solving Vector Equation?</news:title></news:news></url><url><loc>https://liberty.io/from-discrete-dynamical-system-to-continuous-one.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T16:01:52-04:00</news:publication_date><news:title>From discrete dynamical system to continuous one</news:title></news:news></url><url><loc>https://liberty.io/gps-coordinates-processing.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T15:58:10-04:00</news:publication_date><news:title>GPS Coordinates Processing</news:title></news:news></url><url><loc>https://liberty.io/proof-of-a-ramanujan-integral.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T15:48:38-04:00</news:publication_date><news:title>Proof of a Ramanujan Integral</news:title></news:news></url><url><loc>https://liberty.io/show-that-the-surface-area-of-a-cone-is-pi-a-sqrt-a-2-h-2-by-consideri.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T15:42:30-04:00</news:publication_date><news:title>Show that the surface area of a cone is $\pi a \sqrt {a^2+h^2}$ by considering how a sector of a disc can be folded</news:title></news:news></url><url><loc>https://liberty.io/limit-of-geometric-series-sum-when-r-1.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T15:39:08-04:00</news:publication_date><news:title>Limit of geometric series sum when $r = 1$</news:title></news:news></url><url><loc>https://liberty.io/why-the-negative-gradient-gives-the-direction-of-the-steepest-decrease.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T15:38:49-04:00</news:publication_date><news:title>Why the negative gradient gives the direction of the steepest decrease in the gradient descent algorithm?</news:title></news:news></url><url><loc>https://liberty.io/symmetric-difference-using-venn-diagrams-discrete-math.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T15:37:23-04:00</news:publication_date><news:title>Symmetric difference using Venn diagrams (Discrete Math)</news:title></news:news></url><url><loc>https://liberty.io/cos-5-x-as-a-sum.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T15:29:08-04:00</news:publication_date><news:title>$\cos^5 (x)$ as a sum</news:title></news:news></url><url><loc>https://liberty.io/graph-theory-how-do-we-know-hamiltonian-path-exists-in-graph-where-eve.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T15:28:20-04:00</news:publication_date><news:title>Graph Theory: How do we know Hamiltonian Path exists in graph where every vertex has degree ≥3?</news:title></news:news></url><url><loc>https://liberty.io/how-to-find-the-surface-area-of-a-open-top-rectangular-container-when-.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T15:16:16-04:00</news:publication_date><news:title>How to find the surface area of a open top rectangular container when you know the diameter and height?</news:title></news:news></url><url><loc>https://liberty.io/parametric-equation-of-an-arc-with-given-radius-and-two-points.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T15:15:57-04:00</news:publication_date><news:title>Parametric equation of an arc with given radius and two points</news:title></news:news></url><url><loc>https://liberty.io/definition-of-the-weight-k-hyperbolic-laplacian.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T15:07:20-04:00</news:publication_date><news:title>Definition of the weight $k$ hyperbolic Laplacian</news:title></news:news></url><url><loc>https://liberty.io/completing-the-square-with-multiple-variables.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T14:44:41-04:00</news:publication_date><news:title>Completing the square with multiple variables</news:title></news:news></url><url><loc>https://liberty.io/divergence-in-spherical-coordinates-vs-cartesian-coordinates.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T14:41:54-04:00</news:publication_date><news:title>Divergence in spherical coordinates vs. cartesian coordinates</news:title></news:news></url><url><loc>https://liberty.io/to-find-the-modulus-of-a-complex-number.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T14:40:53-04:00</news:publication_date><news:title>To find the Modulus of a complex number</news:title></news:news></url><url><loc>https://liberty.io/prove-that-4-is-the-only-solution-to-2-2-duplicate.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T14:21:28-04:00</news:publication_date><news:title>Prove that $4$ is the only solution to $2+2$. [duplicate]</news:title></news:news></url><url><loc>https://liberty.io/how-to-find-the-perimeter-of-the-triangle-inscribed-within-the-square.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T14:14:56-04:00</news:publication_date><news:title>How to find the perimeter of the triangle inscribed within the square.</news:title></news:news></url><url><loc>https://liberty.io/verification-of-induction-proof-for-handshake-lemma.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T14:13:58-04:00</news:publication_date><news:title>Verification of induction proof for handshake lemma</news:title></news:news></url><url><loc>https://liberty.io/trick-fake-proof-of-2x2-5-algebraic-form-closed.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T14:13:23-04:00</news:publication_date><news:title>Trick/Fake proof of 2x2=5 ; algebraic form [closed]</news:title></news:news></url><url><loc>https://liberty.io/finding-connected-components-in-a-graph-using-bfs.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T14:05:16-04:00</news:publication_date><news:title>Finding connected components in a graph using BFS</news:title></news:news></url><url><loc>https://liberty.io/how-to-verify-if-a-curve-is-exponential-by-eyeballing.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T14:03:15-04:00</news:publication_date><news:title>How to verify if a curve is exponential by eyeballing?</news:title></news:news></url><url><loc>https://liberty.io/prove-that-an-upper-triangular-matrix-is-invertible-if-and-only-if-eve.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T13:47:54-04:00</news:publication_date><news:title>Prove that an upper triangular matrix is invertible if and only if every diagonal entry is non-zero.</news:title></news:news></url><url><loc>https://liberty.io/properties-of-the-number-50.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T13:46:37-04:00</news:publication_date><news:title>Properties of the number 50</news:title></news:news></url><url><loc>https://liberty.io/calculating-the-modular-multiplicative-inverse-without-all-those-stran.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T13:44:35-04:00</news:publication_date><news:title>Calculating the Modular Multiplicative Inverse without all those strange looking symbols</news:title></news:news></url><url><loc>https://liberty.io/littlewood-039-s-principles-and-counterexamples.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T13:29:29-04:00</news:publication_date><news:title>Littlewood&amp;#039;s Principles and Counterexamples</news:title></news:news></url><url><loc>https://liberty.io/help-getting-a-zero-out-of-the-denominator-of-a-limit.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T13:28:16-04:00</news:publication_date><news:title>Help Getting a Zero out of the Denominator of a Limit</news:title></news:news></url><url><loc>https://liberty.io/what-is-the-standard-deviation-of-dice-rolling.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T13:22:30-04:00</news:publication_date><news:title>What is the standard deviation of dice rolling?</news:title></news:news></url><url><loc>https://liberty.io/growth-of-the-riemann-siegel-theta-function.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T13:08:07-04:00</news:publication_date><news:title>Growth of the Riemann–Siegel theta function</news:title></news:news></url><url><loc>https://liberty.io/calculating-the-variance-using-the-probability-mass-function-pmf.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T13:05:49-04:00</news:publication_date><news:title>Calculating the variance using the Probability Mass Function (PMF)</news:title></news:news></url><url><loc>https://liberty.io/6-team-round-robin.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T13:04:50-04:00</news:publication_date><news:title>6-team Round Robin</news:title></news:news></url><url><loc>https://liberty.io/what-is-the-difference-between-infinite-and-transfinite.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T13:01:12-04:00</news:publication_date><news:title>What is the difference between "infinite" and "transfinite"?</news:title></news:news></url><url><loc>https://liberty.io/how-to-construct-a-transcendental-number.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T12:59:17-04:00</news:publication_date><news:title>How to construct a transcendental number</news:title></news:news></url><url><loc>https://liberty.io/a-rectangle-is-twice-as-long-as-it-is-wide.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T12:58:04-04:00</news:publication_date><news:title>A rectangle is twice as long as it is wide.</news:title></news:news></url><url><loc>https://liberty.io/the-well-ordering-principle.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T12:55:07-04:00</news:publication_date><news:title>The well ordering principle</news:title></news:news></url><url><loc>https://liberty.io/what-are-the-rules-of-powers-of-powers-duplicate.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T12:52:37-04:00</news:publication_date><news:title>What are the rules of powers of powers? [duplicate]</news:title></news:news></url><url><loc>https://liberty.io/what-does-a-colon-mean-as-a-mathematical-symbol-in-the-context-of-mapp.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T12:46:59-04:00</news:publication_date><news:title>What does a colon (:) mean as a mathematical symbol in the context of mapping?</news:title></news:news></url><url><loc>https://liberty.io/why-does-the-minimum-value-of-x-x-equal-1-e.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T12:43:31-04:00</news:publication_date><news:title>Why does the minimum value of $x^x$ equal $1/e$?</news:title></news:news></url><url><loc>https://liberty.io/why-algebraic-topology-is-also-called-combinatorial-topology.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T12:41:55-04:00</news:publication_date><news:title>Why algebraic topology is also called combinatorial topology?</news:title></news:news></url><url><loc>https://liberty.io/largest-inscribed-rectangle-in-sector.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T12:39:55-04:00</news:publication_date><news:title>Largest inscribed rectangle in sector</news:title></news:news></url><url><loc>https://liberty.io/every-subspace-of-mathbb-r-n-has-an-orthonormal-basis.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T12:36:07-04:00</news:publication_date><news:title>Every subspace of $\mathbb{R}^{n}$ has an orthonormal basis</news:title></news:news></url><url><loc>https://liberty.io/what-is-the-role-of-conjectures-in-modern-mathematics.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T12:32:47-04:00</news:publication_date><news:title>What is the role of conjectures in modern mathematics?</news:title></news:news></url><url><loc>https://liberty.io/l-039-hospital-039-s-rule-for-the-indeterminate-form-0-0.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T12:17:24-04:00</news:publication_date><news:title>L&amp;#039;Hospital&amp;#039;s Rule for the indeterminate form $0^0$</news:title></news:news></url><url><loc>https://liberty.io/limit-of-infinite-sequence-from-partial-sum.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T12:11:41-04:00</news:publication_date><news:title>Limit of infinite sequence from partial sum</news:title></news:news></url><url><loc>https://liberty.io/two-lines-that-are-perpendicular-to-a-third-line-do-not-have-to-be-par.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T12:07:52-04:00</news:publication_date><news:title>two lines that are perpendicular to a third line do not have to be parallel.</news:title></news:news></url><url><loc>https://liberty.io/getting-probability-from-z-score-on-ti-83.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T12:07:21-04:00</news:publication_date><news:title>Getting probability from z-score on TI-83</news:title></news:news></url><url><loc>https://liberty.io/square-root-inside-a-square-root.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T12:05:51-04:00</news:publication_date><news:title>Square root inside a square root</news:title></news:news></url><url><loc>https://liberty.io/what-is-the-difference-between-3-choose-2-and-3-choose-1-2-choose-1.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T11:57:15-04:00</news:publication_date><news:title>What is the difference between ${3 \choose 2}$ and ${3 \choose 1}{2 \choose 1}$?</news:title></news:news></url><url><loc>https://liberty.io/value-of-summation-of-log-n.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T11:57:09-04:00</news:publication_date><news:title>Value of Summation of $\log(n)$</news:title></news:news></url><url><loc>https://liberty.io/linear-algebra-identity-matrix-and-its-relation-to-eigenvalues-and-eig.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T11:41:49-04:00</news:publication_date><news:title>Linear Algebra: Identity matrix and its relation to eigenvalues and eigenvectors</news:title></news:news></url><url><loc>https://liberty.io/what-precisely-is-the-difference-between-euclidean-geometry-and-non-eu.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T11:41:09-04:00</news:publication_date><news:title>What precisely is the difference between Euclidean Geometry, and non-Euclidean Geometry?</news:title></news:news></url><url><loc>https://liberty.io/can-someone-please-help-me-convert-this-triple-integral-to-spherical-c.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T11:13:51-04:00</news:publication_date><news:title>Can someone please help me convert this triple integral to spherical coordinates?</news:title></news:news></url><url><loc>https://liberty.io/why-are-exact-differential-equations-called-so.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T11:13:51-04:00</news:publication_date><news:title>Why are exact differential equations called so?</news:title></news:news></url><url><loc>https://liberty.io/closure-of-the-set-of-all-polynomial-with-variable-x-in-0-1.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T11:10:29-04:00</news:publication_date><news:title>Closure of the set of all polynomial with variable $x\in [0,1]$</news:title></news:news></url><url><loc>https://liberty.io/what-are-the-mean-and-variance-of-the-log-of-a-random-variable.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T11:02:54-04:00</news:publication_date><news:title>What are the mean and variance of the log of a random variable?</news:title></news:news></url><url><loc>https://liberty.io/a-double-limit-question.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T10:51:50-04:00</news:publication_date><news:title>A Double Limit Question</news:title></news:news></url><url><loc>https://liberty.io/recognizing-the-sequence-1-16-1-8-3-16-1-4-5-16.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T10:45:05-04:00</news:publication_date><news:title>Recognizing the sequence 1/16, 1/8, 3/16, 1/4, 5/16, ...</news:title></news:news></url><url><loc>https://liberty.io/finding-a-spanning-set-for-a-null-space.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T10:44:41-04:00</news:publication_date><news:title>Finding a spanning set for a null space</news:title></news:news></url><url><loc>https://liberty.io/is-k-g-1-bg.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T10:44:01-04:00</news:publication_date><news:title>Is $K(G,1) = BG$?</news:title></news:news></url><url><loc>https://liberty.io/entire-function-with-vanishing-derivatives.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T10:43:17-04:00</news:publication_date><news:title>Entire function with vanishing derivatives?</news:title></news:news></url><url><loc>https://liberty.io/easy-math-proofs-or-visual-examples-to-make-high-school-students-enthu.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T10:34:12-04:00</news:publication_date><news:title>Easy math proofs or visual examples to make high school students enthusiastic about math [closed]</news:title></news:news></url><url><loc>https://liberty.io/question-concerning-linear-combinations-of-vectors-and-linear-independ.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T10:29:03-04:00</news:publication_date><news:title>Question concerning linear combinations of vectors and linear independence in Linear Algebra.</news:title></news:news></url><url><loc>https://liberty.io/is-there-a-term-do-refer-to-a-set-of-sets-in-math-to-distinguish-set-o.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T10:28:46-04:00</news:publication_date><news:title>Is there a term do refer to a "set of sets" in math, to distinguish set of regular math objet?</news:title></news:news></url><url><loc>https://liberty.io/what-is-the-difference-between-a-point-and-a-vector.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T10:24:29-04:00</news:publication_date><news:title>What is the difference between a point and a vector?</news:title></news:news></url><url><loc>https://liberty.io/is-a-simplified-function-the-same-as-the-original.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T10:20:59-04:00</news:publication_date><news:title>Is a simplified function the same as the original?</news:title></news:news></url><url><loc>https://liberty.io/good-book-for-self-study-of-continued-fractions.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T10:20:18-04:00</news:publication_date><news:title>Good book for self study of Continued Fractions</news:title></news:news></url><url><loc>https://liberty.io/average-length-of-the-longest-segment.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T10:13:46-04:00</news:publication_date><news:title>Average length of the longest segment</news:title></news:news></url><url><loc>https://liberty.io/splitting-a-circle-into-3-equal-parts-using-2-lines.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T10:10:32-04:00</news:publication_date><news:title>Splitting a circle into 3 equal parts using 2 lines</news:title></news:news></url><url><loc>https://liberty.io/how-to-solve-equations-of-this-form-x-x-n.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T10:06:56-04:00</news:publication_date><news:title>How to solve equations of this form: $x^x = n$?</news:title></news:news></url><url><loc>https://liberty.io/finding-average-speed-using-the-mean-value-theorem-for-integrals.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T10:01:06-04:00</news:publication_date><news:title>Finding average speed using The mean value theorem for integrals.</news:title></news:news></url><url><loc>https://liberty.io/characterizations-of-local-topology-of-mathbb-r-n.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T09:58:40-04:00</news:publication_date><news:title>Characterizations of local topology of $\mathbb{R}^n$</news:title></news:news></url><url><loc>https://liberty.io/verify-using-the-definition-of-convergence-of-a-sequence-that-the-foll.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T09:57:52-04:00</news:publication_date><news:title>Verify Using the Definition of Convergence of a sequence, that the following sequences converge to the proposed limit.</news:title></news:news></url><url><loc>https://liberty.io/what-is-the-difference-between-a-trace-and-a-contour-in-calculus.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T09:55:11-04:00</news:publication_date><news:title>What is the difference between a trace and a contour in calculus?</news:title></news:news></url><url><loc>https://liberty.io/solving-double-derivative-frac-d-2y-dx-2-f-y-by-integration.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T09:53:01-04:00</news:publication_date><news:title>Solving double derivative $\frac{d^2y}{dx^2} = f(y)$ by integration.</news:title></news:news></url><url><loc>https://liberty.io/plus-or-minus-minus-or-plus-it-is-the-same.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T09:47:41-04:00</news:publication_date><news:title>Plus or Minus = Minus or Plus It is the same?</news:title></news:news></url><url><loc>https://liberty.io/counting-all-6-digit-x-numbers-s-t-x-123456.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T09:40:05-04:00</news:publication_date><news:title>Counting all 6 digit $x$ numbers s.t. $x&gt;123456$</news:title></news:news></url><url><loc>https://liberty.io/good-examples-of-double-induction.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T09:36:34-04:00</news:publication_date><news:title>Good examples of double induction</news:title></news:news></url><url><loc>https://liberty.io/surface-area-of-quarter-of-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>2026-08-15T09:31:44-04:00</news:publication_date><news:title>Surface area of quarter of a Sphere</news:title></news:news></url><url><loc>https://liberty.io/limit-of-1-x-n-n-when-n-tends-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>2026-08-15T09:20:18-04:00</news:publication_date><news:title>Limit of $(1+ x/n)^n$ when $n$ tends to infinity [duplicate]</news:title></news:news></url><url><loc>https://liberty.io/inverse-of-sparse-matrix-is-not-generally-sparse.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T09:18:14-04:00</news:publication_date><news:title>Inverse of sparse matrix is not generally sparse</news:title></news:news></url><url><loc>https://liberty.io/how-to-find-orthogonal-projection-of-vector-on-a-subspace.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T09:03:07-04:00</news:publication_date><news:title>How to find orthogonal projection of vector on a subspace?</news:title></news:news></url><url><loc>https://liberty.io/show-that-every-ideal-of-the-ring-mathbb-z-is-principal.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T09:02:58-04:00</news:publication_date><news:title>Show that every ideal of the ring $\mathbb Z$ is principal</news:title></news:news></url><url><loc>https://liberty.io/memoryless-property-and-geometric-distribution.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T08:52:09-04:00</news:publication_date><news:title>Memoryless property and geometric distribution</news:title></news:news></url><url><loc>https://liberty.io/how-to-find-position-of-point-that-is-x-unit-distant-from-ab-line-segm.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T08:46:39-04:00</news:publication_date><news:title>How to find position of point that is x unit distant from AB line segment and y unit distant from BC line segment?</news:title></news:news></url><url><loc>https://liberty.io/which-matrices-perform-dilation.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T08:39:22-04:00</news:publication_date><news:title>Which matrices perform dilation?</news:title></news:news></url><url><loc>https://liberty.io/example-of-a-simple-pole.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T08:23:02-04:00</news:publication_date><news:title>Example of a simple pole</news:title></news:news></url><url><loc>https://liberty.io/rarefaction-wave-in-nonlinear-pde-u-t-u-3-2-x-0.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T08:22:27-04:00</news:publication_date><news:title>Rarefaction Wave in nonlinear PDE $u_t + (u^{3/2})_x = 0$</news:title></news:news></url><url><loc>https://liberty.io/in-a-family-with-3-children-what-is-the-probability-that-they-have-2-b.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T08:20:34-04:00</news:publication_date><news:title>In a family with 3 children, what is the probability that they have 2 boys and 1 girl?</news:title></news:news></url><url><loc>https://liberty.io/about-plus-minus-sign.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T08:17:39-04:00</news:publication_date><news:title>About plus-minus sign</news:title></news:news></url><url><loc>https://liberty.io/organic-chemistry-for-mathematicians.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T08:11:17-04:00</news:publication_date><news:title>(Organic) Chemistry for Mathematicians</news:title></news:news></url><url><loc>https://liberty.io/find-t-v-using-the-standard-matrix-and-the-matrix-relative-to-b-and-b-.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T08:07:26-04:00</news:publication_date><news:title>Find T(v) using the standard matrix and the matrix relative to B and B&amp;#039;</news:title></news:news></url><url><loc>https://liberty.io/finding-limit-of-a-sequence-defined-by-another-sequence.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T08:07:04-04:00</news:publication_date><news:title>Finding limit of a sequence defined by another sequence</news:title></news:news></url><url><loc>https://liberty.io/how-does-a-floor-function-work.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T08:01:40-04:00</news:publication_date><news:title>how does a floor function work?</news:title></news:news></url><url><loc>https://liberty.io/can-someone-prove-why-sqrt-ab-sqrt-a-sqrt-b-is-only-valid-when-a-and-b.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T07:48:56-04:00</news:publication_date><news:title>Can someone prove why $\sqrt{ab}=\sqrt{a}\sqrt{b}$ is only valid when a and b are positive?</news:title></news:news></url><url><loc>https://liberty.io/inversion-formula-for-the-abel-transform.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T07:36:32-04:00</news:publication_date><news:title>Inversion formula for the Abel transform</news:title></news:news></url><url><loc>https://liberty.io/is-there-a-definition-of-a-pseudo-period-for-f-x-sin-3x-sin-pi-x.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-15T07:34:18-04:00</news:publication_date><news:title>Is there a definition of a "pseudo period" for $f(x)=\sin(3x)+\sin(\pi x)$?</news:title></news:news></url></urlset>