https://liberty.io/prove-that-1-2-1-4-1-8-1-duplicate.htmlBuzz Spill Dailyen2026-08-22T13:12:44-04:00Prove that 1/2 + 1/4 + 1/8 ....... = 1 [duplicate]https://liberty.io/what-are-some-intuitive-ways-to-find-a-3-times-3-permutation-matrix-wi.htmlBuzz Spill Dailyen2026-08-22T13:10:52-04:00What are some intuitive ways to find a $3 \times 3$ permutation matrix with $P^3 = I$, $P \ne I $?https://liberty.io/4-gon-with-two-opposite-sides-congruent-and-two-opposite-angles-congru.htmlBuzz Spill Dailyen2026-08-22T12:57:45-04:004-gon with two opposite sides congruent and two opposite angles congruent: necessarily a parallelogram? [duplicate]https://liberty.io/compactness-of-function-space.htmlBuzz Spill Dailyen2026-08-22T12:48:15-04:00Compactness of function spacehttps://liberty.io/proof-of-intermediate-value-theorem-using-bisection.htmlBuzz Spill Dailyen2026-08-22T12:46:47-04:00Proof of Intermediate Value Theorem using bisectionhttps://liberty.io/proof-of-c-a-b-for-a-right-triangle.htmlBuzz Spill Dailyen2026-08-22T12:35:20-04:00Proof of $c<a+b$ for a right trianglehttps://liberty.io/surface-area-of-cone.htmlBuzz Spill Dailyen2026-08-22T12:20:52-04:00Surface area of conehttps://liberty.io/solution-for-exponential-function-039-s-functional-equation-by-using-a.htmlBuzz Spill Dailyen2026-08-22T12:15:48-04:00Solution for exponential function&#039;s functional equation by using a definition of derivativehttps://liberty.io/finding-unbiased-point-estimate-of-population-variance.htmlBuzz Spill Dailyen2026-08-22T12:13:32-04:00Finding unbiased point estimate of population variancehttps://liberty.io/definition-of-power-set-uses-strict-subset-duplicate.htmlBuzz Spill Dailyen2026-08-22T11:53:42-04:00Definition of power set uses strict subset [duplicate]https://liberty.io/how-to-express-sqrt-x-1.htmlBuzz Spill Dailyen2026-08-22T11:52:26-04:00How to express $\sqrt{x} =-1$?https://liberty.io/what-039-s-a-proof-that-the-angles-of-a-triangle-add-up-to-180.htmlBuzz Spill Dailyen2026-08-22T11:47:23-04:00What&#039;s a proof that the angles of a triangle add up to 180°?https://liberty.io/how-to-find-the-inverse-cosine-without-a-calculator.htmlBuzz Spill Dailyen2026-08-22T11:39:18-04:00How to find the inverse cosine without a calculatorhttps://liberty.io/how-does-e-i-x-produce-rotation-around-the-imaginary-unit-circle.htmlBuzz Spill Dailyen2026-08-22T11:29:17-04:00How does $e^{i x}$ produce rotation around the imaginary unit circle?https://liberty.io/what-is-additive-homomorphic-encryption-and-multiplicative-homomorphic.htmlBuzz Spill Dailyen2026-08-22T11:28:20-04:00What is additive homomorphic encryption and multiplicative homomorphic encryption? [closed]https://liberty.io/number-of-surjective-functions-from-a-to-b.htmlBuzz Spill Dailyen2026-08-22T11:27:59-04:00Number of surjective functions from A to Bhttps://liberty.io/convolution-integral-limits.htmlBuzz Spill Dailyen2026-08-22T11:27:48-04:00convolution integral limitshttps://liberty.io/definition-of-curl-in-mathbb-r-n.htmlBuzz Spill Dailyen2026-08-22T11:24:06-04:00Definition of CURL in $\mathbb{R}^n$.https://liberty.io/is-my-interpretation-of-direct-comparison-test-correct.htmlBuzz Spill Dailyen2026-08-22T11:18:28-04:00Is my interpretation of direct comparison test correct?https://liberty.io/why-does-0-0-mean-there-it-a-hole-and-not-an-asymptote.htmlBuzz Spill Dailyen2026-08-22T11:07:57-04:00Why does 0/0 mean there it a hole and not an asymptote?https://liberty.io/log-of-a-negative-number.htmlBuzz Spill Dailyen2026-08-22T11:03:54-04:00Log of a negative numberhttps://liberty.io/what-is-the-relationship-between-graphs-graph-theory-and-logic.htmlBuzz Spill Dailyen2026-08-22T10:57:22-04:00What is the relationship between Graphs (graph theory) and logic?https://liberty.io/perfect-solutions-to-the-kissing-number-problem-besides-in-dimensions-.htmlBuzz Spill Dailyen2026-08-22T10:53:34-04:00"Perfect" solutions to the kissing number problem besides in dimensions 1,2,8, and 24.https://liberty.io/opposite-of-mod-in-a-equation.htmlBuzz Spill Dailyen2026-08-22T10:52:54-04:00Opposite of mod in a equationhttps://liberty.io/definition-clarification-of-graph-embeddings.htmlBuzz Spill Dailyen2026-08-22T10:48:37-04:00Definition/Clarification of Graph Embeddingshttps://liberty.io/figuring-out-the-amount-of-039-straight-edge-039-pieces-in-a-puzzle.htmlBuzz Spill Dailyen2026-08-22T10:48:20-04:00Figuring out the amount of &#039;straight edge&#039; pieces in a puzzle?https://liberty.io/what-is-the-largest-prime-number-in-the-denominator-of-a-fraction-that.htmlBuzz Spill Dailyen2026-08-22T10:46:55-04:00What is the largest prime number in the denominator of a fraction that creates a decimal that repeats every 4 digits?https://liberty.io/positive-definiteness-of-the-schur-complement.htmlBuzz Spill Dailyen2026-08-22T10:24:17-04:00Positive-definiteness of the Schur Complementhttps://liberty.io/calculating-the-derivative-of-csc-2-4x.htmlBuzz Spill Dailyen2026-08-22T10:17:07-04:00Calculating the derivative of $\csc^2(4x)$https://liberty.io/how-to-explain-what-is-wrong-in-this.htmlBuzz Spill Dailyen2026-08-22T09:59:43-04:00How to explain what is wrong in this?https://liberty.io/what-is-the-meaning-of-c-0-0-1-c-0-1-and-c-1-0-1.htmlBuzz Spill Dailyen2026-08-22T09:56:45-04:00what is the meaning of $C^0[0,1]$ , $C[0,1]$ and $C^1[0,1]$?https://liberty.io/online-visualization-tool-for-planes-spans-in-linear-algebra.htmlBuzz Spill Dailyen2026-08-22T09:54:08-04:00Online visualization tool for planes (spans in linear algebra)https://liberty.io/how-to-find-the-area-under-a-semicircle-using-integration-closed.htmlBuzz Spill Dailyen2026-08-22T09:32:37-04:00How to find the area under a semicircle using integration? [closed]https://liberty.io/proving-monge-039-s-theorem-using-menelaus-039.htmlBuzz Spill Dailyen2026-08-22T09:28:35-04:00Proving Monge&#039;s Theorem using Menelaus&#039;https://liberty.io/finding-a-joint-moment-generating-function.htmlBuzz Spill Dailyen2026-08-22T09:10:25-04:00Finding a Joint Moment Generating Functionhttps://liberty.io/norm-of-gradient-in-gradient-descent.htmlBuzz Spill Dailyen2026-08-22T09:07:56-04:00Norm of gradient in gradient descenthttps://liberty.io/how-does-the-reduced-cone-look-like.htmlBuzz Spill Dailyen2026-08-22T09:03:59-04:00How does the reduced cone look like?https://liberty.io/binomial-distribution-word-problem.htmlBuzz Spill Dailyen2026-08-22T09:00:50-04:00Binomial Distribution Word Problemhttps://liberty.io/what-is-the-symbol-for-coincident-in-geometry.htmlBuzz Spill Dailyen2026-08-22T08:55:19-04:00What is the symbol for "coincident" in geometry?https://liberty.io/get-polynomial-function-from-3-points.htmlBuzz Spill Dailyen2026-08-22T08:54:41-04:00Get polynomial function from 3 pointshttps://liberty.io/how-does-squaring-both-sides-of-an-equation-lead-to-extraneous-solutio.htmlBuzz Spill Dailyen2026-08-22T08:50:43-04:00How does squaring both sides of an equation lead to extraneous solutions? [duplicate]https://liberty.io/convert-y-2-4-x-1-to-a-polar-equation.htmlBuzz Spill Dailyen2026-08-22T08:40:36-04:00Convert $y^2 = 4(x + 1)$ to a polar equationhttps://liberty.io/what-is-the-perimeter-of-a-sector.htmlBuzz Spill Dailyen2026-08-22T08:37:00-04:00What is the perimeter of a sector?https://liberty.io/symbols-for-odd-and-even.htmlBuzz Spill Dailyen2026-08-22T08:33:11-04:00Symbols for "odd" and "even"https://liberty.io/context-free-grammar-for-palindrome-over-all-terminals.htmlBuzz Spill Dailyen2026-08-22T08:32:49-04:00Context free grammar for palindrome over ALL terminals?https://liberty.io/what-is-the-square-root-of-infinity-and-what-is-infinity-2.htmlBuzz Spill Dailyen2026-08-22T08:27:23-04:00What is the square root of infinity and what is infinity^2?https://liberty.io/what-is-the-best-calculus-book-for-a-strong-introdutory-course.htmlBuzz Spill Dailyen2026-08-22T08:26:03-04:00What is the best calculus book for a strong introdutory course?https://liberty.io/coin-toss-probability-using-bayes-theorem.htmlBuzz Spill Dailyen2026-08-22T08:23:09-04:00Coin Toss Probability Using Bayes Theoremhttps://liberty.io/2-easy-gre-questions.htmlBuzz Spill Dailyen2026-08-22T08:19:15-04:002 Easy GRE questionshttps://liberty.io/does-sum-limits-x-1-infty-sin-x-converge.htmlBuzz Spill Dailyen2026-08-22T08:19:04-04:00Does $\sum\limits_{x=1}^\infty\sin(x)$ converge?https://liberty.io/what-is-the-minimum-possible-exterior-surface-area-of-an-open-glassed-.htmlBuzz Spill Dailyen2026-08-22T08:13:46-04:00What is the minimum possible exterior surface area of an open glassed-top aquarium?https://liberty.io/finding-integer-solutions-to-y-2-x-3-2.htmlBuzz Spill Dailyen2026-08-22T08:11:45-04:00Finding integer solutions to $y^2=x^3-2$https://liberty.io/terminal-value-formula-in-the-discounted-cash-flow-dcf-valuation.htmlBuzz Spill Dailyen2026-08-22T08:06:34-04:00Terminal value formula in the discounted cash flow (DCF) valuationhttps://liberty.io/disconnected-connected-graphs.htmlBuzz Spill Dailyen2026-08-22T08:06:19-04:00disconnected/connected graphshttps://liberty.io/finding-the-number-of-surfaces-containing-a-curve-given-its-parametriz.htmlBuzz Spill Dailyen2026-08-22T08:00:20-04:00Finding the number of surfaces containing a curve given its parametrizationhttps://liberty.io/is-there-something-like-a-normal-distribution-model-for-discrete-proba.htmlBuzz Spill Dailyen2026-08-22T07:59:51-04:00Is there something like a normal distribution model for discrete probability?https://liberty.io/finding-moment-of-inertia-rotational-inertia-i-using-integration.htmlBuzz Spill Dailyen2026-08-22T07:50:01-04:00Finding Moment of Inertia (Rotational Inertia?) $I$ Using Integration?https://liberty.io/conditional-introduction-rule.htmlBuzz Spill Dailyen2026-08-22T07:48:29-04:00Conditional Introduction Rulehttps://liberty.io/how-can-we-make-11-non-isomorphic-graphs-on-4-vertices.htmlBuzz Spill Dailyen2026-08-22T07:47:34-04:00how can we make 11 non-isomorphic graphs on 4-vertices?https://liberty.io/how-are-asymptotes-actually-defined-in-rigorous-mathematics.htmlBuzz Spill Dailyen2026-08-22T07:29:24-04:00How are asymptotes actually defined in rigorous mathematics?https://liberty.io/find-the-value-of-the-expression.htmlBuzz Spill Dailyen2026-08-22T07:16:04-04:00Find the value of the expressionhttps://liberty.io/determining-whether-cartesian-first-order-tensor.htmlBuzz Spill Dailyen2026-08-22T07:13:08-04:00Determining whether Cartesian first order tensorhttps://liberty.io/why-is-the-determinant-of-a-symplectic-matrix-1.htmlBuzz Spill Dailyen2026-08-22T07:09:18-04:00Why is the determinant of a symplectic matrix 1?https://liberty.io/the-interior-of-a-connected-set-in-mathbb-r-k.htmlBuzz Spill Dailyen2026-08-22T07:02:22-04:00The interior of a connected set in $\mathbb R^k$https://liberty.io/intuitively-what-is-the-difference-between-eigendecomposition-and-sing.htmlBuzz Spill Dailyen2026-08-22T07:02:16-04:00Intuitively, what is the difference between Eigendecomposition and Singular Value Decomposition?https://liberty.io/i-have-a-d3-three-sided-die-and-i-m-trying-to-get-the-highest-possible.htmlBuzz Spill Dailyen2026-08-22T07:01:38-04:00I have a d3 (three-sided die) and I’m trying to get the highest possible outcome. Should I choose to reroll a 2?https://liberty.io/empty-and-trivial-graph-diestel-039-s-book.htmlBuzz Spill Dailyen2026-08-22T06:54:17-04:00Empty and trivial graph [Diestel&#039;s book]https://liberty.io/closure-of-integers.htmlBuzz Spill Dailyen2026-08-22T06:50:13-04:00Closure of Integers?https://liberty.io/dense-sequence-definition.htmlBuzz Spill Dailyen2026-08-22T06:45:56-04:00Dense sequence definitionhttps://liberty.io/2-norm-vs-operator-norm.htmlBuzz Spill Dailyen2026-08-22T06:33:32-04:002-norm vs operator normhttps://liberty.io/riemann-sum-given-partition-and-sample-points.htmlBuzz Spill Dailyen2026-08-22T06:33:27-04:00Riemann sum given partition and sample pointshttps://liberty.io/what-is-the-difference-between-cluster-point-and-limit-point.htmlBuzz Spill Dailyen2026-08-22T06:30:31-04:00what is the difference between cluster point and limit point?https://liberty.io/making-change-for-a-dollar-and-other-number-partitioning-problems.htmlBuzz Spill Dailyen2026-08-22T06:24:03-04:00Making Change for a Dollar (and other number partitioning problems)https://liberty.io/what-does-lg-x-mean-is-it-log-2-x-or-log-10-x-in-binary-trees.htmlBuzz Spill Dailyen2026-08-22T06:14:56-04:00What does $\lg x$ mean? is it $\log_2 x$ or $\log_{10} x$ in binary treeshttps://liberty.io/definition-of-the-ordered-triple-a-b-c-according-to-kuratowski-039-s-s.htmlBuzz Spill Dailyen2026-08-22T06:03:49-04:00Definition of the ordered triple (a, b, c) according to Kuratowski&#039;s Set Theory.https://liberty.io/fourier-transform-of-sinc-function-confused-about-operatorname-sinc-pi.htmlBuzz Spill Dailyen2026-08-22T06:03:39-04:00Fourier Transform of sinc function (confused about $\operatorname{sinc}(\pi x)$ and $\operatorname{sinc}(x)$)https://liberty.io/order-of-operations-for-multiplying-three-matrices.htmlBuzz Spill Dailyen2026-08-22T05:52:56-04:00Order of operations for multiplying three matriceshttps://liberty.io/find-the-area-of-a-segment-of-a-circle-given-radius-and-central-angle.htmlBuzz Spill Dailyen2026-08-22T05:39:35-04:00Find the area of a segment of a circle, given radius and central angle.https://liberty.io/a-semicircle-has-a-radius-of-2-m-determine-the-dimensions-of-a-rectang.htmlBuzz Spill Dailyen2026-08-22T05:29:42-04:00A semicircle has a radius of 2 m. Determine the dimensions of a rectangle with the greatest area that is inscribed in it.https://liberty.io/understanding-when-a-graph-represents-a-function.htmlBuzz Spill Dailyen2026-08-22T05:29:25-04:00Understanding when a graph represents a functionhttps://liberty.io/deriving-the-cosine-formula-using-vectors.htmlBuzz Spill Dailyen2026-08-22T05:21:12-04:00Deriving the cosine formula using vectors?https://liberty.io/what-really-is-diagonalization.htmlBuzz Spill Dailyen2026-08-22T05:16:43-04:00What really is diagonalization?https://liberty.io/how-to-make-continued-fractions-of-any-number.htmlBuzz Spill Dailyen2026-08-22T05:10:54-04:00How to make continued fractions of any number?https://liberty.io/if-ab-i-then-ba-i.htmlBuzz Spill Dailyen2026-08-22T05:01:34-04:00If $AB = I$ then $BA = I$https://liberty.io/why-does-the-area-of-a-rhombus-with-same-lengths-as-a-square-has-a-dif.htmlBuzz Spill Dailyen2026-08-22T05:01:08-04:00why does the area of a rhombus with same lengths as a square has a different area than the same square?https://liberty.io/inductive-definition-of-a-set.htmlBuzz Spill Dailyen2026-08-22T04:55:46-04:00Inductive definition of a sethttps://liberty.io/what-is-the-scientific-notation-of-zero.htmlBuzz Spill Dailyen2026-08-22T04:50:32-04:00What is the Scientific Notation of Zero?https://liberty.io/how-to-draw-hasse-diagram.htmlBuzz Spill Dailyen2026-08-22T04:48:43-04:00How to draw Hasse diagramhttps://liberty.io/what-is-the-mathematical-formula-for-square-root.htmlBuzz Spill Dailyen2026-08-22T04:48:20-04:00What is the mathematical formula for Square Root?https://liberty.io/can-all-maths-be-represented-in-geometry.htmlBuzz Spill Dailyen2026-08-22T04:32:58-04:00Can all maths be represented in geometry?https://liberty.io/how-to-use-eigenvalues-and-eigenvector-to-solve-systems-of-linear-equa.htmlBuzz Spill Dailyen2026-08-22T04:32:31-04:00How to use eigenvalues and eigenvector to solve systems of linear equationhttps://liberty.io/eulerian-graph-with-odd-even-vertices-edges.htmlBuzz Spill Dailyen2026-08-22T04:31:34-04:00Eulerian graph with odd/even vertices/edgeshttps://liberty.io/second-derivative-of-xy-with-respect-to-x.htmlBuzz Spill Dailyen2026-08-22T04:31:18-04:00Second derivative of $xy$ with respect to $x$https://liberty.io/consensus-theorem-legal-to-use-redundant-terms-to-find-more-redundant-.htmlBuzz Spill Dailyen2026-08-22T04:15:25-04:00Consensus Theorem: Legal to use redundant terms to find more redundant terms?https://liberty.io/what-is-a-pullback-of-a-metric-and-how-does-it-work.htmlBuzz Spill Dailyen2026-08-22T04:14:50-04:00What is a pullback of a metric, and how does it work?https://liberty.io/limit-of-x-ln-x.htmlBuzz Spill Dailyen2026-08-22T04:02:32-04:00Limit of $x\ln{x}$https://liberty.io/solving-x-3-y-3-xy-61-in-integers.htmlBuzz Spill Dailyen2026-08-22T03:59:19-04:00Solving $x^3-y^3=xy+61$ in integershttps://liberty.io/how-is-the-derivative-of-the-cdf-of-a-random-variable-x-its-pdf.htmlBuzz Spill Dailyen2026-08-22T03:51:03-04:00How is the derivative of the CDF of a random variable $X$ its PDF?https://liberty.io/what-is-wrong-with-the-proof-for-ln-2-frac-1-2-ln-2.htmlBuzz Spill Dailyen2026-08-22T03:51:01-04:00What is wrong with the "proof" for $\ln(2) =\frac{1}{2}\ln(2)$?https://liberty.io/variance-of-negative-binomial-distribution-without-moment-generating-s.htmlBuzz Spill Dailyen2026-08-22T03:50:23-04:00Variance of Negative Binomial Distribution (without Moment Generating Series)