https://liberty.io/what-is-division-sum-closed.htmlBuzz Spill Dailyen2026-08-27T22:34:59-04:00What is "division sum"? [closed]https://liberty.io/suppose-that-x-and-y-are-irrational-but-x-y-is-rational-prove-that-x-y.htmlBuzz Spill Dailyen2026-08-27T22:32:42-04:00Suppose that $x$ and $y$ are irrational, but $x + y$ is rational. Prove that $x -y$ is irrational.https://liberty.io/find-the-constant-term-of-polynomial.htmlBuzz Spill Dailyen2026-08-27T22:30:03-04:00Find the constant term of polynomialhttps://liberty.io/power-method-matlab.htmlBuzz Spill Dailyen2026-08-27T22:22:50-04:00Power method Matlabhttps://liberty.io/what-is-the-difference-between-a-linear-n-k-code-and-a-linear-n-k-d-co.htmlBuzz Spill Dailyen2026-08-27T22:18:50-04:00What is the difference between a linear $[n,k]$-code and a linear $[n,k,d]$-code?https://liberty.io/for-any-real-function-if-f-0-0-then-f-039-0-0-closed.htmlBuzz Spill Dailyen2026-08-27T22:06:00-04:00for any real function, if $f(0) = 0$, then $f'(0) = 0$ [closed]https://liberty.io/what-is-the-opposite-of-logarithmic-scale.htmlBuzz Spill Dailyen2026-08-27T22:03:06-04:00What is the opposite of logarithmic scale?https://liberty.io/the-class-of-all-classes-not-containing-themselves.htmlBuzz Spill Dailyen2026-08-27T21:49:46-04:00The class of all classes not containing themselveshttps://liberty.io/mass-of-wire-using-line-integral.htmlBuzz Spill Dailyen2026-08-27T21:43:27-04:00Mass of wire using line integralhttps://liberty.io/what-is-the-mathematical-symbol-representation-for-the-remainder-opera.htmlBuzz Spill Dailyen2026-08-27T21:34:29-04:00What is the mathematical symbol/representation for the remainder operation?https://liberty.io/prove-the-riemann-lebesgue-lemma-int-b-af-x-cos-nx-dx-rightarrow-0-as-.htmlBuzz Spill Dailyen2026-08-27T21:33:16-04:00prove the Riemann-Lebesgue lemma: $\int^b_af(x)\cos(nx)dx\rightarrow 0$ as $n\rightarrow \infty$ for any regulated function $f$https://liberty.io/express-frac-ln-left-frac-1-2-right-80000000-as-a-negative-exponent.htmlBuzz Spill Dailyen2026-08-27T21:31:52-04:00Express $\frac{\ln\left(\frac{1}{2}\right)}{80000000}$ as a negative exponenthttps://liberty.io/given-a-simple-graph-and-its-complement-prove-that-either-of-them-is-a.htmlBuzz Spill Dailyen2026-08-27T21:30:08-04:00Given a simple graph and its complement, prove that either of them is always connected.https://liberty.io/is-empty-set-element-of-every-set-if-it-is-subset-of-every-set.htmlBuzz Spill Dailyen2026-08-27T21:25:33-04:00Is empty set element of every set if it is subset of every set?https://liberty.io/pathway-to-low-dimensional-topology.htmlBuzz Spill Dailyen2026-08-27T21:15:30-04:00Pathway to low dimensional topology.https://liberty.io/stationary-increments-definition.htmlBuzz Spill Dailyen2026-08-27T21:03:19-04:00Stationary increments definitionhttps://liberty.io/meaning-of-the-expression-mu-a-e.htmlBuzz Spill Dailyen2026-08-27T20:57:57-04:00Meaning of the expression "$\mu$ a.e."https://liberty.io/limits-of-points-along-x-axis-of-the-2-variable-function.htmlBuzz Spill Dailyen2026-08-27T20:50:14-04:00Limits of points along X-Axis of the 2-variable functionhttps://liberty.io/product-of-two-gaussian-pdfs-is-a-gaussian-pdf-but-product-of-two-gaus.htmlBuzz Spill Dailyen2026-08-27T20:47:00-04:00Product of two Gaussian PDFs is a Gaussian PDF, but Product of two Gaussian Variables is not Gaussianhttps://liberty.io/how-to-prove-this-is-a-rational-number.htmlBuzz Spill Dailyen2026-08-27T20:37:36-04:00How to prove this is a rational numberhttps://liberty.io/give-a-geometric-description-of-the-following-set-of-points.htmlBuzz Spill Dailyen2026-08-27T20:30:57-04:00Give a geometric description of the following set of pointshttps://liberty.io/covariance-of-two-random-variables.htmlBuzz Spill Dailyen2026-08-27T20:26:13-04:00Covariance of two random variableshttps://liberty.io/why-f-x-sqrt-x-is-a-function.htmlBuzz Spill Dailyen2026-08-27T20:25:54-04:00Why $f(x) = \sqrt{x}$ is a function?https://liberty.io/user-al-jabra-mathematics-stack-exchange.htmlBuzz Spill Dailyen2026-08-27T19:59:52-04:00User Al jabra - Mathematics Stack Exchangehttps://liberty.io/how-does-e-ln-x-e-ln-1-x.htmlBuzz Spill Dailyen2026-08-27T19:36:24-04:00How does $e^{-\ln x} = e^{\ln(1/x)}$https://liberty.io/the-volume-of-body-in-polar-coordinates.htmlBuzz Spill Dailyen2026-08-27T19:32:43-04:00The volume of body in polar coordinateshttps://liberty.io/how-to-solve-a-system-with-more-equations-than-unkowns.htmlBuzz Spill Dailyen2026-08-27T19:26:13-04:00how to solve a system with more equations than unkowns?https://liberty.io/to-find-an-extremal-of-the-functional-int-0-1-y-039-2-12-xy-dx.htmlBuzz Spill Dailyen2026-08-27T19:18:25-04:00To find an extremal of the functional $\int_0^1 [(y')^2 + 12 xy] dx$https://liberty.io/finding-parametric-equations-for-curve-of-intersection.htmlBuzz Spill Dailyen2026-08-27T19:16:53-04:00Finding parametric equations for curve of intersectionhttps://liberty.io/correct-interpretation-of-confidence-interval.htmlBuzz Spill Dailyen2026-08-27T19:15:19-04:00Correct interpretation of confidence intervalhttps://liberty.io/product-rule-for-gradient.htmlBuzz Spill Dailyen2026-08-27T19:08:57-04:00Product rule for gradienthttps://liberty.io/how-can-i-simplify-and-verify-the-logical-equivalence-using-these-laws.htmlBuzz Spill Dailyen2026-08-27T18:55:18-04:00How can I simplify and verify the logical equivalence using these laws?https://liberty.io/linearizing-logarithmic-function.htmlBuzz Spill Dailyen2026-08-27T18:46:28-04:00Linearizing Logarithmic Functionhttps://liberty.io/what-is-this-angle-in-a-right-triangle-with-sides-of-length-5-12-and-1.htmlBuzz Spill Dailyen2026-08-27T18:45:51-04:00What is this angle in a right triangle with sides of length 5, 12, and 13?https://liberty.io/finding-remainder-using-fermat-039-s-little-theorm.htmlBuzz Spill Dailyen2026-08-27T18:45:35-04:00Finding remainder using Fermat's Little Theormhttps://liberty.io/proof-of-stars-and-bars-formula.htmlBuzz Spill Dailyen2026-08-27T18:45:01-04:00Proof of stars and bars formulahttps://liberty.io/finding-the-parametric-form-of-a-standard-equation.htmlBuzz Spill Dailyen2026-08-27T18:39:06-04:00Finding the parametric form of a standard equationhttps://liberty.io/finding-domain-of-sqrt-x-12-x-9-x-4-x-1.htmlBuzz Spill Dailyen2026-08-27T18:38:30-04:00Finding domain of $\sqrt{x^{12} - x^9 + x^4 - x + 1}$https://liberty.io/equilibrium-probability-in-a-markov-chain-closed.htmlBuzz Spill Dailyen2026-08-27T18:31:17-04:00Equilibrium probability in a markov chain [closed]https://liberty.io/correct-graph-of-arccot-x.htmlBuzz Spill Dailyen2026-08-27T18:29:29-04:00Correct graph of arccot xhttps://liberty.io/how-to-compute-a-linear-fractional-transformation-that-maps-a-circle-t.htmlBuzz Spill Dailyen2026-08-27T18:27:55-04:00How to compute a linear fractional transformation that maps a circle to a given circle?https://liberty.io/either-john-isn-039-t-stupid-and-he-is-lazy-or-he-is-stupid-he-039-s-s.htmlBuzz Spill Dailyen2026-08-27T18:20:04-04:00Either John isn't stupid and he is lazy, or he is stupid. He's stupid; therefore he's not lazy. Why?https://liberty.io/how-to-factorize-x-2-10yz-2xz-2xy-3y-2-3z-2.htmlBuzz Spill Dailyen2026-08-27T18:17:00-04:00how to factorize $x^2+10yz-2xz-2xy-3y^2-3z^2$?https://liberty.io/is-there-a-general-formula-for-the-sum-of-a-quadratic-sequence.htmlBuzz Spill Dailyen2026-08-27T18:12:13-04:00Is there a general formula for the sum of a quadratic sequence?https://liberty.io/variance-of-conditional-variance.htmlBuzz Spill Dailyen2026-08-27T18:09:18-04:00Variance of Conditional Variancehttps://liberty.io/proof-of-caratheodory-039-s-theorem-for-convex-sets-using-radon-039-s-.htmlBuzz Spill Dailyen2026-08-27T17:51:52-04:00Proof of Caratheodory's Theorem (for Convex Sets) using Radon's Lemmahttps://liberty.io/finding-the-solution-set-for-an-absolute-value-equation-algebraically.htmlBuzz Spill Dailyen2026-08-27T17:49:02-04:00Finding the solution set for an absolute value equation algebraicallyhttps://liberty.io/show-that-if-h-and-k-are-subgroups-of-one-abelian-group-g-then-g-1-hk-.htmlBuzz Spill Dailyen2026-08-27T17:41:25-04:00Show that if $H$ and $K$ are subgroups of one abelian group $G$, then $G_1=\{hk\mid h\in H\text{ and }k\in K\}$ is a subgroup of $G$ [duplicate]https://liberty.io/fitch-system-or-alternatives.htmlBuzz Spill Dailyen2026-08-27T17:34:09-04:00Fitch system, or alternatives?https://liberty.io/icosahedral-symmetry-as-permutation-group.htmlBuzz Spill Dailyen2026-08-27T17:29:04-04:00Icosahedral symmetry as permutation grouphttps://liberty.io/when-to-use-the-contrapositive-to-prove-a-statment.htmlBuzz Spill Dailyen2026-08-27T17:27:11-04:00When to use the contrapositive to prove a statmenthttps://liberty.io/is-my-understanding-of-antisymmetric-and-symmetric-relations-correct.htmlBuzz Spill Dailyen2026-08-27T17:18:12-04:00Is my understanding of antisymmetric and symmetric relations correct?https://liberty.io/using-method-of-moments-on-binomial-distribution-closed.htmlBuzz Spill Dailyen2026-08-27T17:17:09-04:00Using method of moments on binomial distribution [closed]https://liberty.io/recurrence-relation-merge-sort.htmlBuzz Spill Dailyen2026-08-27T17:11:30-04:00Recurrence Relation - Merge Sorthttps://liberty.io/integral-from-infinity-to-infinity.htmlBuzz Spill Dailyen2026-08-27T17:11:11-04:00Integral from infinity to infinityhttps://liberty.io/a-parallelogram-and-a-circle.htmlBuzz Spill Dailyen2026-08-27T16:58:59-04:00A parallelogram and a circlehttps://liberty.io/why-is-two-the-only-even-number-that-is-prime.htmlBuzz Spill Dailyen2026-08-27T16:58:54-04:00Why is two the only even number that is prime?https://liberty.io/relaxed-menage-problem-sitting-arrangement-for-couples.htmlBuzz Spill Dailyen2026-08-27T16:55:17-04:00Relaxed Menage Problem - sitting arrangement for coupleshttps://liberty.io/in-classical-logic-why-is-p-rightarrow-q-true-if-p-is-false-and-q-is-t.htmlBuzz Spill Dailyen2026-08-27T16:50:59-04:00In classical logic, why is $(p\Rightarrow q)$ True if $p$ is False and $q$ is True?https://liberty.io/how-do-you-rotate-a-vector-by-a-unit-quaternion.htmlBuzz Spill Dailyen2026-08-27T16:48:09-04:00How do you rotate a vector by a unit quaternion?https://liberty.io/finding-limit-of-multivariable-function-using-the-squeeze-theorem.htmlBuzz Spill Dailyen2026-08-27T16:38:44-04:00Finding limit of multivariable function using the squeeze theoremhttps://liberty.io/proof-of-the-continuous-image-of-a-connected-set-is-connected.htmlBuzz Spill Dailyen2026-08-27T16:38:21-04:00Proof of "the continuous image of a connected set is connected"https://liberty.io/proving-the-inverse-if-any-of-a-lower-triangular-matrix-is-lower-trian.htmlBuzz Spill Dailyen2026-08-27T16:15:36-04:00Proving the inverse (if any) of a lower triangular matrix is lower triangularhttps://liberty.io/factorising-fourth-power-polynomial-with-5-terms-duplicate.htmlBuzz Spill Dailyen2026-08-27T16:05:11-04:00Factorising fourth power polynomial with 5 terms [duplicate]https://liberty.io/what-does-the-ln-or-1n-mean-in-this-equation.htmlBuzz Spill Dailyen2026-08-27T15:54:57-04:00What does the ln or 1n mean in this equation?https://liberty.io/calculate-sides-of-right-triangle-with-hypotenuse-and-area-or-perimete.htmlBuzz Spill Dailyen2026-08-27T15:53:12-04:00Calculate sides of right triangle with hypotenuse and area or perimeterhttps://liberty.io/what-does-ll-mean.htmlBuzz Spill Dailyen2026-08-27T15:50:57-04:00What does $\ll$ mean?https://liberty.io/notation-for-repeated-division.htmlBuzz Spill Dailyen2026-08-27T15:47:35-04:00Notation for repeated divisionhttps://liberty.io/finding-formula-for-nth-partial-sum.htmlBuzz Spill Dailyen2026-08-27T15:41:06-04:00Finding formula for nth partial sumhttps://liberty.io/related-rates-question-a-man-starts-walking-north-at-4-ft-s-from-a-poi.htmlBuzz Spill Dailyen2026-08-27T15:29:16-04:00Related Rates question: A man starts walking north at 4 ft/s from a point P. Five minutes later a woman startshttps://liberty.io/checking-for-validity-using-truth-table-shortcut.htmlBuzz Spill Dailyen2026-08-27T15:28:09-04:00Checking for validity using truth table (shortcut)https://liberty.io/what-is-category-theory-useful-for.htmlBuzz Spill Dailyen2026-08-27T15:11:46-04:00What is category theory useful for?https://liberty.io/integration-of-fundamental-solution-of-laplace-039-s-equation.htmlBuzz Spill Dailyen2026-08-27T15:03:25-04:00Integration of Fundamental Solution of Laplace's equation.https://liberty.io/how-to-find-the-derivative-of-the-function-f-x-2x-3-4-x-2-x-1-5.htmlBuzz Spill Dailyen2026-08-27T15:01:23-04:00How to find the derivative of the function $f(x) = (2x-3)^4 (x^2 + x + 1)^5$?https://liberty.io/what-is-a-smooth-surface.htmlBuzz Spill Dailyen2026-08-27T14:49:46-04:00What is a smooth surface?https://liberty.io/what-exactly-does-it-mean-for-a-function-to-be-well-behaved.htmlBuzz Spill Dailyen2026-08-27T14:49:28-04:00What exactly does it mean for a function to be "well-behaved"?https://liberty.io/what-039-s-the-correct-definition-of-conjugate-and-do-we-identify-them.htmlBuzz Spill Dailyen2026-08-27T14:41:26-04:00What's the correct definition of "conjugate", and do we identify them?https://liberty.io/trace-norm-properties.htmlBuzz Spill Dailyen2026-08-27T14:40:27-04:00Trace Norm propertieshttps://liberty.io/sd-of-a-bernoulli-trial.htmlBuzz Spill Dailyen2026-08-27T14:29:43-04:00SD of a bernoulli trial?https://liberty.io/euclidean-norm-and-matrix-question.htmlBuzz Spill Dailyen2026-08-27T14:28:32-04:00Euclidean norm and matrix questionhttps://liberty.io/notation-is-a-monotonic-function-of.htmlBuzz Spill Dailyen2026-08-27T14:22:10-04:00Notation: "is a monotonic function of"?https://liberty.io/trigonometric-expression-for-1-cos-alpha-cos-2-alpha-cdots-cos-n-alpha.htmlBuzz Spill Dailyen2026-08-27T14:12:14-04:00Trigonometric Expression for $1 + \cos \alpha + \cos 2\alpha + \cdots + \cos n \alpha$ using complex numbershttps://liberty.io/how-frac-1-x-is-integrable-if-it-is-not-a-continuous-function.htmlBuzz Spill Dailyen2026-08-27T14:04:28-04:00How $\frac{1}{x}$ is integrable if it is not a continuous functionhttps://liberty.io/ackermann-039-s-function-is-mu-recursive.htmlBuzz Spill Dailyen2026-08-27T13:46:41-04:00Ackermann's function is $\mu$-recursivehttps://liberty.io/prove-that-cot-2-pi-7-cot-2-2-pi-7-cot-2-3-pi-7-5.htmlBuzz Spill Dailyen2026-08-27T13:43:09-04:00Prove that $\cot^2{(\pi/7)} + \cot^2{(2\pi/7)} + \cot^2{(3\pi/7)} = 5$https://liberty.io/definition-of-degree-matrix-of-directed-graph.htmlBuzz Spill Dailyen2026-08-27T13:35:35-04:00definition of degree matrix of directed graph?https://liberty.io/how-many-axis-of-symmetry-of-the-cube-are-there.htmlBuzz Spill Dailyen2026-08-27T13:31:01-04:00How many axis of symmetry of the cube are there?https://liberty.io/sum-of-divergent-and-convergent-series.htmlBuzz Spill Dailyen2026-08-27T13:30:28-04:00Sum of Divergent and Convergent Serieshttps://liberty.io/what-is-the-meaning-of-the-term-distance-preserving.htmlBuzz Spill Dailyen2026-08-27T13:24:22-04:00What is the meaning of the term "distance-preserving"?https://liberty.io/what-is-the-use-of-calculus.htmlBuzz Spill Dailyen2026-08-27T13:15:38-04:00What is the use of Calculus?https://liberty.io/real-world-examples-of-continuous-uniform-distribution-on-0-1.htmlBuzz Spill Dailyen2026-08-27T13:14:09-04:00Real world examples of continuous uniform distribution on [0,1]https://liberty.io/on-the-proof-of-fleury-039-s-algorithm-question-2.htmlBuzz Spill Dailyen2026-08-27T13:09:57-04:00On the proof of Fleury's algorithm. (Question 2)https://liberty.io/what-does-the-term-arbitrary-number-mean-in-math.htmlBuzz Spill Dailyen2026-08-27T13:00:54-04:00What does the term "arbitrary number" mean in math?https://liberty.io/computing-t-beta-notation.htmlBuzz Spill Dailyen2026-08-27T12:59:00-04:00Computing $[T]_\beta$ notationhttps://liberty.io/trisecting-angles-which-can-be-trisected.htmlBuzz Spill Dailyen2026-08-27T12:52:05-04:00Trisecting angles which can be trisectedhttps://liberty.io/what-is-the-value-of-xyz.htmlBuzz Spill Dailyen2026-08-27T12:47:16-04:00What is the value of xyz?https://liberty.io/dice-game-probability-theory.htmlBuzz Spill Dailyen2026-08-27T12:42:53-04:00Dice Game - Probability Theoryhttps://liberty.io/what-is-a-function.htmlBuzz Spill Dailyen2026-08-27T12:40:31-04:00What is a function?https://liberty.io/sum-of-frac-1-n-2-for-n-1-2-3-duplicate.htmlBuzz Spill Dailyen2026-08-27T12:38:55-04:00Sum of $\frac{1}{n^{2}}$ for $n = 1 ,2 ,3, ...$? [duplicate]https://liberty.io/prove-two-angles-add-up-to-90-degrees.htmlBuzz Spill Dailyen2026-08-27T12:38:54-04:00Prove two angles add up to 90 degrees