https://liberty.io/definition-of-closed-subscheme.htmlBuzz Spill Dailyen2026-08-10T13:52:22-04:00Definition of closed subschemehttps://liberty.io/how-to-take-the-derivative-of-a-matrix-with-respect-to-itself.htmlBuzz Spill Dailyen2026-08-10T13:52:13-04:00How to take the derivative of a matrix with respect to itself?https://liberty.io/finding-the-fourth-vertex-of-a-square.htmlBuzz Spill Dailyen2026-08-10T13:34:16-04:00Finding the fourth vertex of a squarehttps://liberty.io/tangent-of-a-straight-line.htmlBuzz Spill Dailyen2026-08-10T13:33:13-04:00Tangent of a Straight Linehttps://liberty.io/is-square-root-a-function.htmlBuzz Spill Dailyen2026-08-10T13:28:30-04:00Is square root a function?https://liberty.io/the-speed-of-light-in-a-vacuum-is-2-998-times-10-8-m-sec-what-is-this-.htmlBuzz Spill Dailyen2026-08-10T13:19:10-04:00The speed of light in a vacuum is $ 2.998 \times 10^8$ m/sec. What is this speed in miles per hour?https://liberty.io/does-the-relation-in-follow-the-axiom-of-substitution-for-equality.htmlBuzz Spill Dailyen2026-08-10T13:18:11-04:00Does the relation $\in$ follow the axiom of substitution for equality.https://liberty.io/show-that-pi-3-arccos-frac-5-sqrt-28-3-arctan-frac-sqrt-3-2.htmlBuzz Spill Dailyen2026-08-10T13:17:35-04:00Show that $\pi =3\arccos(\frac{5}{\sqrt{28}}) + 3\arctan(\frac{\sqrt{3}}{2})$https://liberty.io/rationalize-the-denominator-with-4-terms-frac-1-1-sqrt-12-sqrt-3-3-sqr.htmlBuzz Spill Dailyen2026-08-10T13:17:03-04:00Rationalize the denominator with 4 terms $\frac{1}{1+\sqrt{12}-\sqrt[3]{3}-\sqrt[3]{9}}$ [closed]https://liberty.io/find-all-the-relative-extrema-of-the-function-f-x-2x-24x-1-3.htmlBuzz Spill Dailyen2026-08-10T13:12:40-04:00Find all the relative extrema of the function $f(x)=2x-24x^{1/3}$https://liberty.io/trapezoids-similarity.htmlBuzz Spill Dailyen2026-08-10T13:03:37-04:00trapezoids similarityhttps://liberty.io/how-to-implement-subscript-and-superscript-in-legend-matlab.htmlBuzz Spill Dailyen2026-08-10T12:58:39-04:00How to implement subscript and superscript in legend (Matlab)https://liberty.io/proof-about-cardinality-of-sets-r-z-r.htmlBuzz Spill Dailyen2026-08-10T12:55:22-04:00Proof about cardinality of sets $|R-Z|=|R|$https://liberty.io/why-are-self-adjoint-operators-important.htmlBuzz Spill Dailyen2026-08-10T12:49:52-04:00Why are self-adjoint operators important?https://liberty.io/cartesian-form-of-a-line.htmlBuzz Spill Dailyen2026-08-10T12:49:31-04:00Cartesian Form of a Linehttps://liberty.io/chinese-remainder-theorem-for-three-equations.htmlBuzz Spill Dailyen2026-08-10T12:45:46-04:00Chinese remainder theorem for three equations?https://liberty.io/can-someone-explain-why-x-log-a-a-log-x-duplicate.htmlBuzz Spill Dailyen2026-08-10T12:40:14-04:00Can someone explain why $x^{\log(a)} = a^{\log(x)}$? [duplicate]https://liberty.io/find-angle-between-two-curves-at-point-of-intersection-closed.htmlBuzz Spill Dailyen2026-08-10T12:29:57-04:00Find Angle Between Two Curves at Point of Intersection [closed]https://liberty.io/fractal-fundamentals.htmlBuzz Spill Dailyen2026-08-10T12:25:20-04:00Fractal fundamentalshttps://liberty.io/equal-spaced-points-in-a-logarithmic-graph.htmlBuzz Spill Dailyen2026-08-10T12:18:30-04:00Equal spaced points in a logarithmic graphhttps://liberty.io/when-a-fraction-is-raised-to-a-negative-exponent-do-you-normally-trans.htmlBuzz Spill Dailyen2026-08-10T12:12:18-04:00When a fraction is raised to a negative exponent, do you normally transform it to 1 over the fraction, or invert the fraction?https://liberty.io/questions-tagged-linear-programming.htmlBuzz Spill Dailyen2026-08-10T11:59:08-04:00Questions tagged [linear-programming] https://liberty.io/finding-a-basis-for-the-columnspace-of-a-matrix.htmlBuzz Spill Dailyen2026-08-10T11:46:04-04:00Finding a basis for the columnspace of a matrixhttps://liberty.io/questions-tagged-prime-numbers.htmlBuzz Spill Dailyen2026-08-10T11:08:47-04:00Questions tagged [prime-numbers] https://liberty.io/ryll-nardzewski-theorem-and-types-with-parameters.htmlBuzz Spill Dailyen2026-08-10T11:07:03-04:00Ryll-Nardzewski theorem and types with parametershttps://liberty.io/how-can-i-find-a-polynomial-that-fits-a-given-table-closed.htmlBuzz Spill Dailyen2026-08-10T10:58:54-04:00How can I find a polynomial that fits a given table? [closed]https://liberty.io/why-do-exponents-not-distribute-over-addition-closed.htmlBuzz Spill Dailyen2026-08-10T10:54:12-04:00Why do exponents not distribute over addition? [closed]https://liberty.io/solving-trigonometric-equations-of-the-form-a-sin-x-b-cos-x-c.htmlBuzz Spill Dailyen2026-08-10T10:43:10-04:00Solving trigonometric equations of the form $a\sin x + b\cos x = c$https://liberty.io/second-order-ode-in-matlab.htmlBuzz Spill Dailyen2026-08-10T10:38:22-04:00Second Order ODE in MatLabhttps://liberty.io/expected-value-finding-the-price-of-a-raffle-ticket.htmlBuzz Spill Dailyen2026-08-10T10:37:47-04:00Expected Value - Finding the Price of a Raffle Tickethttps://liberty.io/jacobian-matrix-in-039-polar-coordinates-039.htmlBuzz Spill Dailyen2026-08-10T10:37:04-04:00Jacobian Matrix in 'Polar Coordinates'..?https://liberty.io/why-can-039-t-a-rational-function-have-both-a-horizontal-and-an-obliqu.htmlBuzz Spill Dailyen2026-08-10T10:26:49-04:00Why can't a rational function have both, a horizontal and an oblique asymptote?https://liberty.io/shannon-entropy-of-a-fair-dice.htmlBuzz Spill Dailyen2026-08-10T10:17:16-04:00Shannon entropy of a fair dicehttps://liberty.io/what-does-echelon-mean.htmlBuzz Spill Dailyen2026-08-10T10:06:31-04:00What does echelon mean?https://liberty.io/does-every-nonzero-turing-degree-adimit-a-nonzero-incompatible-degree.htmlBuzz Spill Dailyen2026-08-10T10:01:14-04:00Does every nonzero Turing degree adimit a nonzero incompatible degree?https://liberty.io/problems-with-simplifying-using-factoring-of-binomial-expressions.htmlBuzz Spill Dailyen2026-08-10T09:57:49-04:00Problems with Simplifying Using Factoring of Binomial Expressionshttps://liberty.io/can-we-ever-get-an-irrational-number-by-dividing-two-rational-numbers.htmlBuzz Spill Dailyen2026-08-10T09:53:18-04:00Can we ever get an irrational number by dividing two rational numbers?https://liberty.io/finding-measuring-points-in-three-point-perspective-drawing.htmlBuzz Spill Dailyen2026-08-10T09:19:03-04:00Finding Measuring Points in three-point perspective drawinghttps://liberty.io/difference-in-the-definitions-of-glb-and-lub-in-real-analysis-and-abst.htmlBuzz Spill Dailyen2026-08-10T09:09:34-04:00Difference in the definitions of glb and lub in real analysis and abstract algebrahttps://liberty.io/in-a-parallelogram-does-the-diagonal-bisect-the-angles-that-they-meet.htmlBuzz Spill Dailyen2026-08-10T09:04:21-04:00In a parallelogram, does the diagonal bisect the angles that they meet?https://liberty.io/two-circles-with-a-common-external-tangent-problem-closed.htmlBuzz Spill Dailyen2026-08-10T08:47:43-04:00Two circles with a common external tangent problem. [closed]https://liberty.io/find-normal-vector-of-a-3d-vector.htmlBuzz Spill Dailyen2026-08-10T08:37:46-04:00Find normal vector of a 3d vectorhttps://liberty.io/rank-theorem-on-manifolds.htmlBuzz Spill Dailyen2026-08-10T08:17:08-04:00Rank theorem on manifoldshttps://liberty.io/prove-operatorname-rank-a-leq-1-iff-a-xy-t-for-some-x-y-in-mathbb-r-n-.htmlBuzz Spill Dailyen2026-08-10T08:15:48-04:00Prove: $\operatorname{rank} A \leq 1$ iff $A=xy^T$ for some $x,y \in \mathbb{R}^{n \times 1}$. [duplicate]https://liberty.io/is-a-function-that-is-one-to-one-necessarily-onto.htmlBuzz Spill Dailyen2026-08-10T08:13:47-04:00Is a function that is one-to-one necessarily onto?https://liberty.io/orientation-geometry-closed.htmlBuzz Spill Dailyen2026-08-10T08:10:21-04:00Orientation(geometry) [closed]https://liberty.io/complex-variable-limit-at-infinity.htmlBuzz Spill Dailyen2026-08-10T08:09:03-04:00Complex variable limit at infinityhttps://liberty.io/how-to-determine-what-these-vectors-are.htmlBuzz Spill Dailyen2026-08-10T08:04:10-04:00How to Determine what these vectors are.https://liberty.io/solving-for-upper-limit-of-integration-given-a-lower-limit-and-integra.htmlBuzz Spill Dailyen2026-08-10T08:00:53-04:00Solving for upper limit of integration, given a lower limit and integrandhttps://liberty.io/general-formula-for-sin-left-k-arcsin-x-right.htmlBuzz Spill Dailyen2026-08-10T07:57:29-04:00General formula for $\sin\left(k\arcsin (x)\right)$https://liberty.io/prove-that-a-parallelogram-is-1-rectangle-2-rhombus-3-square.htmlBuzz Spill Dailyen2026-08-10T07:39:21-04:00Prove that a parallelogram is (1) rectangle, (2)rhombus, (3) square.https://liberty.io/calculus-of-variations-lagrange-multipliers.htmlBuzz Spill Dailyen2026-08-10T07:34:46-04:00Calculus of variations: Lagrange multipliershttps://liberty.io/minimum-area-of-inscribed-square.htmlBuzz Spill Dailyen2026-08-10T07:34:36-04:00Minimum area of Inscribed Squarehttps://liberty.io/how-to-integrate-this-function-with-ln-and-u-substitution.htmlBuzz Spill Dailyen2026-08-10T07:31:57-04:00How to integrate this function with ln and u substitution?https://liberty.io/predict-next-number-from-a-series.htmlBuzz Spill Dailyen2026-08-10T07:26:54-04:00Predict next number from a serieshttps://liberty.io/finding-area-of-a-triangle-without-trignometric-ratios.htmlBuzz Spill Dailyen2026-08-10T07:20:33-04:00Finding Area of a Triangle without Trignometric ratios.https://liberty.io/distance-between-centers-of-two-touching-circles.htmlBuzz Spill Dailyen2026-08-10T07:18:30-04:00distance between centers of two touching circleshttps://liberty.io/why-is-logistic-equation-called-logistic.htmlBuzz Spill Dailyen2026-08-10T07:16:16-04:00Why is logistic equation called "logistic"?https://liberty.io/how-to-understand-lindeberg-clt-compare-with-classical-clt.htmlBuzz Spill Dailyen2026-08-10T07:09:45-04:00How to understand lindeberg CLT, compare with classical CLThttps://liberty.io/the-difference-between-87-and-71-of-a-number-is-448-what-is-59-of-that.htmlBuzz Spill Dailyen2026-08-10T07:07:24-04:00The difference between 87% and 71% of a number is 448. What is 59% of that number [closed]https://liberty.io/what-does-a-circle-in-4d-spacetime-look-like.htmlBuzz Spill Dailyen2026-08-10T07:02:03-04:00What does a circle in 4d spacetime "look like"?https://liberty.io/what-is-the-motivation-behind-naming-identity-matrix-as-eye.htmlBuzz Spill Dailyen2026-08-10T06:56:59-04:00What is the motivation behind naming identity matrix as "eye"?https://liberty.io/find-four-groups-of-order-20-not-isomorphic-to-each-other.htmlBuzz Spill Dailyen2026-08-10T06:51:50-04:00Find four groups of order 20 not isomorphic to each other.https://liberty.io/if-11-11-4-and-22-22-16-then-33-33-text-facebook-math-quiz-closed.htmlBuzz Spill Dailyen2026-08-10T06:45:48-04:00If $11+11=4$ and $22+22=16$, then $33+33=\text{???}$ (Facebook math quiz) [closed]https://liberty.io/detailed-understandable-explanation-as-to-why-0-1-duplicate.htmlBuzz Spill Dailyen2026-08-10T06:32:18-04:00Detailed, Understandable Explanation as to why 0!=1? [duplicate]https://liberty.io/construction-of-the-lamplighter-group-as-wreath-product.htmlBuzz Spill Dailyen2026-08-10T06:25:40-04:00Construction of the lamplighter group as wreath producthttps://liberty.io/a-circle-of-radius-1-is-inscribed-inside-a-regular-octagon-a-polygon-w.htmlBuzz Spill Dailyen2026-08-10T06:23:45-04:00A circle of radius 1 is inscribed inside a regular octagon (a polygon with eight sides of length b). Calculate the octagon’s perimeter and its area.https://liberty.io/what-is-ultrafinitism-and-why-do-people-believe-it.htmlBuzz Spill Dailyen2026-08-10T06:22:24-04:00What is "ultrafinitism" and why do people believe it?https://liberty.io/algorithms-for-finding-the-prime-factorization-of-an-integer.htmlBuzz Spill Dailyen2026-08-10T06:21:05-04:00Algorithms for Finding the Prime Factorization of an Integerhttps://liberty.io/definition-of-irreducible-element.htmlBuzz Spill Dailyen2026-08-10T06:19:23-04:00Definition of irreducible element.https://liberty.io/finding-the-optimal-mixed-strategy-of-a-3x3-matrix-game.htmlBuzz Spill Dailyen2026-08-10T06:14:59-04:00Finding the optimal mixed strategy of a 3x3 matrix game.https://liberty.io/how-can-i-prove-sup-a-b-sup-a-sup-b-if-a-b-a-b-mid-a-in-a-b-in-b.htmlBuzz Spill Dailyen2026-08-10T06:12:22-04:00How can I prove $\sup(A+B)=\sup A+\sup B$ if $A+B=\{a+b\mid a\in A, b\in B\}$https://liberty.io/99th-percentile-top-1-or-top-2-closed.htmlBuzz Spill Dailyen2026-08-10T06:03:50-04:0099th Percentile: top 1% or top 2%? [closed]https://liberty.io/funny-graph-of-x-by-a-graphing-program.htmlBuzz Spill Dailyen2026-08-10T05:55:28-04:00Funny graph of $x!$ by a graphing programhttps://liberty.io/proof-by-mvt-no-calculator.htmlBuzz Spill Dailyen2026-08-10T05:52:49-04:00Proof by MVT (no calculator)https://liberty.io/biased-coin-probability.htmlBuzz Spill Dailyen2026-08-10T05:51:00-04:00Biased coin probabilityhttps://liberty.io/the-perimeter-of-an-isosceles-triangle-triangle-abc.htmlBuzz Spill Dailyen2026-08-10T05:46:54-04:00The perimeter of an isosceles triangle $\triangle ABC$https://liberty.io/how-to-tell-whether-a-left-and-right-riemann-sum-are-overestiamtes-and.htmlBuzz Spill Dailyen2026-08-10T05:42:57-04:00How to tell whether a left and right riemann sum are overestiamtes and underestimates?https://liberty.io/difference-between-frac-df-dx-frac-delta-f-delta-x-and-frac-partial-f-.htmlBuzz Spill Dailyen2026-08-10T05:42:06-04:00Difference between $\frac{df}{dx}$, $\frac{\Delta f}{\Delta x}$, and $\frac{\partial f}{\partial x}$https://liberty.io/formula-to-find-an-angle-of-point-on-a-coordinate-plane.htmlBuzz Spill Dailyen2026-08-10T05:40:29-04:00Formula to find an angle of point on a coordinate planehttps://liberty.io/how-to-prove-the-distributive-property-without-using-truth-tables.htmlBuzz Spill Dailyen2026-08-10T05:31:06-04:00How to prove the distributive property without using truth tables?https://liberty.io/how-do-i-find-the-equation-of-an-osculating-circle-when-i-039-m-given-.htmlBuzz Spill Dailyen2026-08-10T05:30:10-04:00How do I find the equation of an osculating circle when I'm given the parabola?https://liberty.io/theorem-18-1-of-munkres-topology.htmlBuzz Spill Dailyen2026-08-10T05:07:31-04:00Theorem 18.1 of Munkres’ Topologyhttps://liberty.io/graph-the-polynomial-f-x-x-4-3x-3-4x-2-3x-2-using-a-graphing-calculato.htmlBuzz Spill Dailyen2026-08-10T05:03:12-04:00Graph the polynomial $f(x)=x^4-3x^3-4x^2+3x-2$ using a graphing calculator [closed]https://liberty.io/finding-angles-in-an-isosceles-trapezoid.htmlBuzz Spill Dailyen2026-08-10T05:00:23-04:00Finding angles in an isosceles trapezoidhttps://liberty.io/why-is-it-that-this-gives-a-good-approximation-of-pi.htmlBuzz Spill Dailyen2026-08-10T05:00:08-04:00Why is it that this gives a good approximation of $\pi$?https://liberty.io/midpoint-approximation-over-under-estimation.htmlBuzz Spill Dailyen2026-08-10T04:55:04-04:00Midpoint approximation over/under estimationhttps://liberty.io/symmetry-group-of-equilateral-triangle.htmlBuzz Spill Dailyen2026-08-10T04:41:06-04:00Symmetry group of equilateral trianglehttps://liberty.io/linear-equation-to-matrix-form.htmlBuzz Spill Dailyen2026-08-10T04:37:34-04:00Linear Equation to Matrix formhttps://liberty.io/is-there-a-rule-of-integration-that-corresponds-to-the-quotient-rule.htmlBuzz Spill Dailyen2026-08-10T04:17:27-04:00Is there a rule of integration that corresponds to the quotient rule?https://liberty.io/when-an-equation-has-no-solutions-denote-it-with-x-in-varnothing.htmlBuzz Spill Dailyen2026-08-10T04:10:00-04:00When an equation has no solutions, denote it with $x\in\varnothing$.https://liberty.io/probability-of-head-in-coin-flip-when-coin-is-flipped-two-times.htmlBuzz Spill Dailyen2026-08-10T04:08:07-04:00Probability of Head in coin flip when coin is flipped two timeshttps://liberty.io/what-is-a-particular-and-a-homogenous-solution-of-a-differential-equat.htmlBuzz Spill Dailyen2026-08-10T04:03:19-04:00What is a particular and a homogenous solution of a differential equation?https://liberty.io/sum-of-fibonacci-numbers.htmlBuzz Spill Dailyen2026-08-10T03:57:25-04:00Sum of Fibonacci numbershttps://liberty.io/linear-combination-of-x.htmlBuzz Spill Dailyen2026-08-10T03:55:01-04:00Linear combination of xhttps://liberty.io/how-many-different-possible-wordle-tweets-can-exist.htmlBuzz Spill Dailyen2026-08-10T03:40:38-04:00How many different possible Wordle tweets can exist?https://liberty.io/is-there-a-valid-shortcut-method-to-convert-a-quadratic-from-vertex-fo.htmlBuzz Spill Dailyen2026-08-10T03:29:38-04:00Is there a valid, "shortcut" method to convert a quadratic from vertex form to factored form?https://liberty.io/how-to-find-derivative-of-x-2-sin-x-using-only-the-limit-definition-of.htmlBuzz Spill Dailyen2026-08-10T03:16:24-04:00how to find derivative of $x^2\sin(x)$ using only the limit definition of a derivativehttps://liberty.io/minimal-axioms-for-a-group.htmlBuzz Spill Dailyen2026-08-10T03:13:09-04:00Minimal axioms for a grouphttps://liberty.io/what-exactly-is-a-random-variable.htmlBuzz Spill Dailyen2026-08-10T03:05:18-04:00What exactly is a random variable?