<?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/definition-of-the-approx-symbol.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T20:06:29-04:00</news:publication_date><news:title>Definition of the approx. symbol</news:title></news:news></url><url><loc>https://liberty.io/find-the-dual-of-a-linear-programming-problem.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T19:58:27-04:00</news:publication_date><news:title>Find the Dual of a Linear Programming Problem</news:title></news:news></url><url><loc>https://liberty.io/what-is-the-average-roll-on-dice-while-re-rolling-a-result-of-1.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T19:55:25-04:00</news:publication_date><news:title>What is the average roll on dice while re-rolling a result of 1</news:title></news:news></url><url><loc>https://liberty.io/derivative-of-x-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>2026-08-22T19:54:35-04:00</news:publication_date><news:title>Derivative of ${x^{x^2}}$</news:title></news:news></url><url><loc>https://liberty.io/finding-maclaurin-series-of-integral.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T19:47:02-04:00</news:publication_date><news:title>Finding Maclaurin-series of integral</news:title></news:news></url><url><loc>https://liberty.io/two-definitions-of-bounded-variation-function.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T19:32:16-04:00</news:publication_date><news:title>Two definitions of "Bounded Variation Function"</news:title></news:news></url><url><loc>https://liberty.io/find-the-equivalent-value-of-radians.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T19:28:49-04:00</news:publication_date><news:title>Find the equivalent value of radians</news:title></news:news></url><url><loc>https://liberty.io/linear-algebra-how-to-interpret-vectors-and-equations-of-a-system-of-e.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T19:19:31-04:00</news:publication_date><news:title>Linear Algebra: How to interpret vectors and equations of a system of equations?</news:title></news:news></url><url><loc>https://liberty.io/what-does-ln-ln-x-simplify-to.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T19:12:35-04:00</news:publication_date><news:title>What does $\ln(\ln(x))$ simplify to?</news:title></news:news></url><url><loc>https://liberty.io/ax-by-c-c-is-always-0.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T19:10:08-04:00</news:publication_date><news:title>$ax + by = c$, c is always 0?</news:title></news:news></url><url><loc>https://liberty.io/suppose-you-draw-two-cards-from-a-deck-of-52-cards-without-replacement.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T19:07:39-04:00</news:publication_date><news:title>Suppose you draw two cards from a deck of 52 cards without replacement.</news:title></news:news></url><url><loc>https://liberty.io/if-x-4-x-4-then-x-3-4-x-3-is.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T19:04:04-04:00</news:publication_date><news:title>If $x+(4/x)=4$ then $x^3+(4/x)^3$ is</news:title></news:news></url><url><loc>https://liberty.io/how-to-prove-cos-4x-sin-4x-cos-2x-sin-2x-is-always-0.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T19:01:16-04:00</news:publication_date><news:title>How to prove $\cos^4x - \sin^4x - \cos^2x + \sin^2x$ is always $0$?</news:title></news:news></url><url><loc>https://liberty.io/norm-of-finite-flat-morphism.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T18:57:45-04:00</news:publication_date><news:title>Norm of finite flat morphism</news:title></news:news></url><url><loc>https://liberty.io/if-x-is-the-remainder-when-a-multiple-of-4-is-divided-by-6-and-y-is-th.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T18:43:45-04:00</news:publication_date><news:title>If $x$ is the remainder when a multiple of $4$ is divided by $6$, and $y$ is the remainder when a multiple of $2$ is divided by $3$, maximise $x+y$.</news:title></news:news></url><url><loc>https://liberty.io/predator-prey-dynamical-system-find-the-vector-x-k-for-a-certain-k.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T18:29:06-04:00</news:publication_date><news:title>Predator-prey dynamical system. Find the vector $x_k$ for a certain $k$</news:title></news:news></url><url><loc>https://liberty.io/linear-regression-ssr-equation.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T18:28:40-04:00</news:publication_date><news:title>Linear Regression : SSR equation</news:title></news:news></url><url><loc>https://liberty.io/definition-of-an-axiom.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T18:17:22-04:00</news:publication_date><news:title>Definition of an axiom?</news:title></news:news></url><url><loc>https://liberty.io/what-about-simon-donaldson-039-s-riemann-surfaces.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T18:16:10-04:00</news:publication_date><news:title>What about Simon Donaldson&amp;#039;s Riemann surfaces?</news:title></news:news></url><url><loc>https://liberty.io/normal-operators-self-adjoint.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T18:06:25-04:00</news:publication_date><news:title>Normal Operators self adjoint</news:title></news:news></url><url><loc>https://liberty.io/how-do-i-find-the-base-and-height-of-a-triangle-when-given-only-the-hy.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T17:54:58-04:00</news:publication_date><news:title>How do I find the base and height of a triangle when given only the hypotenuse and area?</news:title></news:news></url><url><loc>https://liberty.io/difference-between-each-every-any-etc.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T17:47:06-04:00</news:publication_date><news:title>Difference between each, every, any etc.?</news:title></news:news></url><url><loc>https://liberty.io/multiplicative-inverse-of-modulo-n-is-unique.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T17:35:30-04:00</news:publication_date><news:title>Multiplicative Inverse of Modulo n is UNIQUE</news:title></news:news></url><url><loc>https://liberty.io/calculating-the-average-speed-using-only-velocities.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T17:30:42-04:00</news:publication_date><news:title>Calculating the average speed using only velocities</news:title></news:news></url><url><loc>https://liberty.io/definition-of-a-compact-operator.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T17:28:15-04:00</news:publication_date><news:title>Definition of a compact operator</news:title></news:news></url><url><loc>https://liberty.io/how-to-solve-x-times-0-n-where-n-does-not-equal-0.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T17:27:21-04:00</news:publication_date><news:title>How to solve $x \times 0 = n$ where $n$ does not equal $0$?</news:title></news:news></url><url><loc>https://liberty.io/proper-notation-for-distinct-sets.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T17:24:47-04:00</news:publication_date><news:title>Proper notation for distinct sets</news:title></news:news></url><url><loc>https://liberty.io/when-applying-the-master-theorem-how-to-decide-on-case-1-2-or-3.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T17:17:14-04:00</news:publication_date><news:title>When applying the master theorem, how to decide on case 1, 2, or 3?</news:title></news:news></url><url><loc>https://liberty.io/proper-definition-of-a-proper-map.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T17:13:16-04:00</news:publication_date><news:title>"Proper" definition of a proper map?</news:title></news:news></url><url><loc>https://liberty.io/is-aa-t-a-positive-definite-symmetric-matrix.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T17:06:25-04:00</news:publication_date><news:title>Is $AA^T$ a positive-definite symmetric matrix?</news:title></news:news></url><url><loc>https://liberty.io/dot-product-is-an-euclidean-norm-in-euclidean-space.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T16:59:08-04:00</news:publication_date><news:title>Dot product is an Euclidean norm in Euclidean space?</news:title></news:news></url><url><loc>https://liberty.io/definition-simple-stochastic-process.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T16:57:55-04:00</news:publication_date><news:title>Definition Simple Stochastic Process</news:title></news:news></url><url><loc>https://liberty.io/what-is-graphical-addition-closed.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T16:56:59-04:00</news:publication_date><news:title>What is graphical addition? [closed]</news:title></news:news></url><url><loc>https://liberty.io/finding-formula-for-a-cubic-polynomial.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T16:55:07-04:00</news:publication_date><news:title>Finding formula for a cubic polynomial</news:title></news:news></url><url><loc>https://liberty.io/how-can-i-calculate-the-running-time-of-my-compressor-knowing-the-cfm-.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T16:44:23-04:00</news:publication_date><news:title>How can I calculate the running time of my compressor knowing the CFM rate of the compressor motor, tool, and tank size?</news:title></news:news></url><url><loc>https://liberty.io/is-borel-field-different-from-sigma-field.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T16:39:35-04:00</news:publication_date><news:title>Is Borel-field different from $\sigma$-field?</news:title></news:news></url><url><loc>https://liberty.io/consider-the-following-system-of-linear-equations.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T16:36:15-04:00</news:publication_date><news:title>Consider the following system of linear equations..</news:title></news:news></url><url><loc>https://liberty.io/application-of-double-expectation-theorem.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T16:34:11-04:00</news:publication_date><news:title>Application of double expectation theorem</news:title></news:news></url><url><loc>https://liberty.io/what-shape-is-a-bean.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T16:33:49-04:00</news:publication_date><news:title>What shape is a bean?</news:title></news:news></url><url><loc>https://liberty.io/chain-rule-and-vector-valued-functions.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T16:31:49-04:00</news:publication_date><news:title>Chain Rule and Vector valued functions?</news:title></news:news></url><url><loc>https://liberty.io/what-is-the-derivative-of-digamma-function.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T16:28:54-04:00</news:publication_date><news:title>What is the derivative of digamma function?</news:title></news:news></url><url><loc>https://liberty.io/is-a-spinor-an-element-of-the-spin-group-or-an-object-that-transforms-.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T16:18:09-04:00</news:publication_date><news:title>Is a "spinor" an element of the Spin group, or an object that transforms under the Spin group—or both?</news:title></news:news></url><url><loc>https://liberty.io/determine-if-a-region-is-horizontally-or-vertically-simple.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T16:14:00-04:00</news:publication_date><news:title>Determine if a Region is Horizontally or Vertically Simple</news:title></news:news></url><url><loc>https://liberty.io/little-oh-notation.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T16:06:26-04:00</news:publication_date><news:title>little-oh notation</news:title></news:news></url><url><loc>https://liberty.io/what-are-the-advantages-of-studying-the-dual-problem-in-linear-program.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T15:59:37-04:00</news:publication_date><news:title>What are the advantages of studying the dual problem in linear programming?</news:title></news:news></url><url><loc>https://liberty.io/1-2-5-12-27-what-will-be-the-formula-to-calculate-nth-term-for-this-se.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T15:34:53-04:00</news:publication_date><news:title>1, 2, 5, 12, 27... What will be the formula to calculate nth term for this sequence.</news:title></news:news></url><url><loc>https://liberty.io/convergence-of-student-039-s-t-distribution-to-a-standard-normal.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T15:32:03-04:00</news:publication_date><news:title>Convergence of Student&amp;#039;s t-distribution to a standard normal</news:title></news:news></url><url><loc>https://liberty.io/number-of-4-digit-numbers-with-no-repeated-digit.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T15:30:35-04:00</news:publication_date><news:title>Number of $4 $ digit numbers with no repeated digit.</news:title></news:news></url><url><loc>https://liberty.io/calculate-order-of-magnitude-difference.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T15:19:37-04:00</news:publication_date><news:title>calculate order of magnitude difference</news:title></news:news></url><url><loc>https://liberty.io/user-eric-auld-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>2026-08-22T15:13:08-04:00</news:publication_date><news:title>User Eric Auld - Mathematics Stack Exchange</news:title></news:news></url><url><loc>https://liberty.io/what-is-the-difference-between-a-sequence-of-functions-f-n-and-a-seque.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T15:12:00-04:00</news:publication_date><news:title>What is the difference between a sequence of functions $(f_n)$ and a sequence of functions $f_n(x)$?</news:title></news:news></url><url><loc>https://liberty.io/number-with-finite-binary-representation-and-infinite-decimal-represen.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T15:11:27-04:00</news:publication_date><news:title>number with finite binary representation and infinite decimal representation</news:title></news:news></url><url><loc>https://liberty.io/correct-interpretation-of-exponential-decay-and-decay-factor.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T15:10:29-04:00</news:publication_date><news:title>Correct interpretation of exponential decay and decay factor</news:title></news:news></url><url><loc>https://liberty.io/what-is-the-correct-way-to-self-learn-from-a-textbook.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T14:53:09-04:00</news:publication_date><news:title>What is the correct way to self learn from a textbook?</news:title></news:news></url><url><loc>https://liberty.io/is-there-a-common-symbol-for-concatenating-two-finite-sequences.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T14:52:54-04:00</news:publication_date><news:title>Is there a common symbol for concatenating two (finite) sequences?</news:title></news:news></url><url><loc>https://liberty.io/how-would-one-evaluate-int-frac-x-sin-x-x-2-1-over-the-real-line.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T14:52:06-04:00</news:publication_date><news:title>How would one evaluate $\int\frac{x\sin(x)}{x^2+1}$ over the real line?</news:title></news:news></url><url><loc>https://liberty.io/good-book-for-an-introduction-to-differential-equations-for-engineers.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T14:50:01-04:00</news:publication_date><news:title>Good book for an introduction to differential equations for engineers</news:title></news:news></url><url><loc>https://liberty.io/inverse-transformation-of-arctan2.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T14:45:29-04:00</news:publication_date><news:title>Inverse transformation of arctan2</news:title></news:news></url><url><loc>https://liberty.io/when-does-a-system-of-equations-have-no-solution.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T14:44:25-04:00</news:publication_date><news:title>When does a system of equations have no solution?</news:title></news:news></url><url><loc>https://liberty.io/maximizing-cross-sectional-area-of-trapezoid.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T14:35:15-04:00</news:publication_date><news:title>Maximizing cross sectional area of trapezoid</news:title></news:news></url><url><loc>https://liberty.io/using-proof-by-contradiction-vs-proof-of-the-contrapositive.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T14:34:20-04:00</news:publication_date><news:title>Using proof by contradiction vs proof of the contrapositive</news:title></news:news></url><url><loc>https://liberty.io/ratios-of-median-mean-and-standard-deviation-iqr-in-a-normal-distribut.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T14:33:09-04:00</news:publication_date><news:title>Ratios of median/mean and standard deviation/IQR in a normal distribution</news:title></news:news></url><url><loc>https://liberty.io/what-is-observation.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T14:29:53-04:00</news:publication_date><news:title>What is "observation"?</news:title></news:news></url><url><loc>https://liberty.io/how-to-efficiently-compute-17-23-mod-31-by-hand.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T14:24:11-04:00</news:publication_date><news:title>How to efficiently compute $17^{23} (\mod 31)$ by hand?</news:title></news:news></url><url><loc>https://liberty.io/show-that-2222-5555-5555-2222-is-divisible-by-7-duplicate.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T14:22:56-04:00</news:publication_date><news:title>Show that $2222^{5555} + 5555^{2222}$ is divisible by $ 7$ [duplicate]</news:title></news:news></url><url><loc>https://liberty.io/how-to-make-a-geodesic-dome-2v.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T14:17:10-04:00</news:publication_date><news:title>How to make a geodesic dome 2V?</news:title></news:news></url><url><loc>https://liberty.io/example-of-degenerate-scalar-product.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T14:11:00-04:00</news:publication_date><news:title>Example of degenerate scalar product</news:title></news:news></url><url><loc>https://liberty.io/finite-measure-space-sigma-finite-measure-space.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T13:54:43-04:00</news:publication_date><news:title>Finite measure space &amp; sigma-finite measure space</news:title></news:news></url><url><loc>https://liberty.io/general-gaussian-integrals-over-the-positive-real-axis.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T13:37:35-04:00</news:publication_date><news:title>General Gaussian integrals over the positive real axis.</news:title></news:news></url><url><loc>https://liberty.io/example-of-functions-that-are-onto-but-not-one-to-one.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T13:21:10-04:00</news:publication_date><news:title>Example of functions that are onto but not one-to-one</news:title></news:news></url><url><loc>https://liberty.io/matrix-derivative-ax-b-t-ax-b.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T13:18:51-04:00</news:publication_date><news:title>Matrix derivative $(Ax-b)^T(Ax-b)$</news:title></news:news></url><url><loc>https://liberty.io/prove-that-1-2-1-4-1-8-1-duplicate.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T13:12:44-04:00</news:publication_date><news:title>Prove that 1/2 + 1/4 + 1/8 ....... = 1 [duplicate]</news:title></news:news></url><url><loc>https://liberty.io/what-are-some-intuitive-ways-to-find-a-3-times-3-permutation-matrix-wi.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T13:10:52-04:00</news:publication_date><news:title>What are some intuitive ways to find a $3 \times 3$ permutation matrix with $P^3 = I$, $P \ne I $?</news:title></news:news></url><url><loc>https://liberty.io/4-gon-with-two-opposite-sides-congruent-and-two-opposite-angles-congru.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T12:57:45-04:00</news:publication_date><news:title>4-gon with two opposite sides congruent and two opposite angles congruent: necessarily a parallelogram? [duplicate]</news:title></news:news></url><url><loc>https://liberty.io/compactness-of-function-space.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T12:48:15-04:00</news:publication_date><news:title>Compactness of function space</news:title></news:news></url><url><loc>https://liberty.io/proof-of-intermediate-value-theorem-using-bisection.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T12:46:47-04:00</news:publication_date><news:title>Proof of Intermediate Value Theorem using bisection</news:title></news:news></url><url><loc>https://liberty.io/proof-of-c-a-b-for-a-right-triangle.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T12:35:20-04:00</news:publication_date><news:title>Proof of $c&lt;a+b$ for a right triangle</news:title></news:news></url><url><loc>https://liberty.io/surface-area-of-cone.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T12:20:52-04:00</news:publication_date><news:title>Surface area of cone</news:title></news:news></url><url><loc>https://liberty.io/solution-for-exponential-function-039-s-functional-equation-by-using-a.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T12:15:48-04:00</news:publication_date><news:title>Solution for exponential function&amp;#039;s functional equation by using a definition of derivative</news:title></news:news></url><url><loc>https://liberty.io/finding-unbiased-point-estimate-of-population-variance.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T12:13:32-04:00</news:publication_date><news:title>Finding unbiased point estimate of population variance</news:title></news:news></url><url><loc>https://liberty.io/definition-of-power-set-uses-strict-subset-duplicate.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T11:53:42-04:00</news:publication_date><news:title>Definition of power set uses strict subset [duplicate]</news:title></news:news></url><url><loc>https://liberty.io/how-to-express-sqrt-x-1.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T11:52:26-04:00</news:publication_date><news:title>How to express $\sqrt{x} =-1$?</news:title></news:news></url><url><loc>https://liberty.io/what-039-s-a-proof-that-the-angles-of-a-triangle-add-up-to-180.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T11:47:23-04:00</news:publication_date><news:title>What&amp;#039;s a proof that the angles of a triangle add up to 180°?</news:title></news:news></url><url><loc>https://liberty.io/how-to-find-the-inverse-cosine-without-a-calculator.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T11:39:18-04:00</news:publication_date><news:title>How to find the inverse cosine without a calculator</news:title></news:news></url><url><loc>https://liberty.io/how-does-e-i-x-produce-rotation-around-the-imaginary-unit-circle.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T11:29:17-04:00</news:publication_date><news:title>How does $e^{i x}$ produce rotation around the imaginary unit circle?</news:title></news:news></url><url><loc>https://liberty.io/what-is-additive-homomorphic-encryption-and-multiplicative-homomorphic.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T11:28:20-04:00</news:publication_date><news:title>What is additive homomorphic encryption and multiplicative homomorphic encryption? [closed]</news:title></news:news></url><url><loc>https://liberty.io/number-of-surjective-functions-from-a-to-b.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T11:27:59-04:00</news:publication_date><news:title>Number of surjective functions from A to B</news:title></news:news></url><url><loc>https://liberty.io/convolution-integral-limits.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T11:27:48-04:00</news:publication_date><news:title>convolution integral limits</news:title></news:news></url><url><loc>https://liberty.io/definition-of-curl-in-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>2026-08-22T11:24:06-04:00</news:publication_date><news:title>Definition of CURL in $\mathbb{R}^n$.</news:title></news:news></url><url><loc>https://liberty.io/is-my-interpretation-of-direct-comparison-test-correct.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T11:18:28-04:00</news:publication_date><news:title>Is my interpretation of direct comparison test correct?</news:title></news:news></url><url><loc>https://liberty.io/why-does-0-0-mean-there-it-a-hole-and-not-an-asymptote.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T11:07:57-04:00</news:publication_date><news:title>Why does 0/0 mean there it a hole and not an asymptote?</news:title></news:news></url><url><loc>https://liberty.io/log-of-a-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>2026-08-22T11:03:54-04:00</news:publication_date><news:title>Log of a negative number</news:title></news:news></url><url><loc>https://liberty.io/what-is-the-relationship-between-graphs-graph-theory-and-logic.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T10:57:22-04:00</news:publication_date><news:title>What is the relationship between Graphs (graph theory) and logic?</news:title></news:news></url><url><loc>https://liberty.io/perfect-solutions-to-the-kissing-number-problem-besides-in-dimensions-.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T10:53:34-04:00</news:publication_date><news:title>"Perfect" solutions to the kissing number problem besides in dimensions 1,2,8, and 24.</news:title></news:news></url><url><loc>https://liberty.io/opposite-of-mod-in-a-equation.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T10:52:54-04:00</news:publication_date><news:title>Opposite of mod in a equation</news:title></news:news></url><url><loc>https://liberty.io/definition-clarification-of-graph-embeddings.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T10:48:37-04:00</news:publication_date><news:title>Definition/Clarification of Graph Embeddings</news:title></news:news></url><url><loc>https://liberty.io/figuring-out-the-amount-of-039-straight-edge-039-pieces-in-a-puzzle.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T10:48:20-04:00</news:publication_date><news:title>Figuring out the amount of &amp;#039;straight edge&amp;#039; pieces in a puzzle?</news:title></news:news></url><url><loc>https://liberty.io/what-is-the-largest-prime-number-in-the-denominator-of-a-fraction-that.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T10:46:55-04:00</news:publication_date><news:title>What is the largest prime number in the denominator of a fraction that creates a decimal that repeats every 4 digits?</news:title></news:news></url><url><loc>https://liberty.io/positive-definiteness-of-the-schur-complement.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T10:24:17-04:00</news:publication_date><news:title>Positive-definiteness of the Schur Complement</news:title></news:news></url><url><loc>https://liberty.io/calculating-the-derivative-of-csc-2-4x.html</loc><news:news><news:publication><news:name>Buzz Spill Daily</news:name><news:language>en</news:language></news:publication><news:publication_date>2026-08-22T10:17:07-04:00</news:publication_date><news:title>Calculating the derivative of $\csc^2(4x)$</news:title></news:news></url></urlset>