https://liberty.io/what-is-the-meaning-of-a-discriminant-graphically.htmlBuzz Spill Dailyen2026-08-10T17:57:28-04:00What is the meaning of a discriminant graphically?https://liberty.io/proving-that-the-second-derivative-of-a-convex-function-is-nonnegative.htmlBuzz Spill Dailyen2026-08-10T17:57:23-04:00Proving that the second derivative of a convex function is nonnegativehttps://liberty.io/roll-a-4-sided-die-whatever-value-appears-flip-exactly-that-many-fair-.htmlBuzz Spill Dailyen2026-08-10T17:46:12-04:00Roll a 4-sided die. Whatever value appears, flip exactly that many fair coins.https://liberty.io/what-is-the-probability-of-multiple-independent-events-occurring-in-a-.htmlBuzz Spill Dailyen2026-08-10T17:43:31-04:00What is the probability of multiple independent events occurring in a given amount of time?https://liberty.io/the-prolate-cycloid.htmlBuzz Spill Dailyen2026-08-10T17:43:12-04:00The prolate cycloidhttps://liberty.io/proving-that-the-inverse-function-exists-and-finding-it.htmlBuzz Spill Dailyen2026-08-10T17:42:33-04:00Proving that the inverse function exists and finding ithttps://liberty.io/how-to-find-the-stabilizer-of-a-subgroup-of-s-4.htmlBuzz Spill Dailyen2026-08-10T17:25:13-04:00how to find the stabilizer of a subgroup of $S_4$https://liberty.io/for-a-matrix-what-is-a-solution-vector.htmlBuzz Spill Dailyen2026-08-10T17:20:31-04:00For a Matrix, what is a "Solution Vector"?https://liberty.io/given-a-latitude-how-many-miles-is-the-corresponding-longitude.htmlBuzz Spill Dailyen2026-08-10T17:16:20-04:00Given a latitude how many miles is the corresponding longitude?https://liberty.io/why-does-the-geometric-series-formula-intuitively-work.htmlBuzz Spill Dailyen2026-08-10T17:14:58-04:00Why does the geometric series formula intuitively work?https://liberty.io/find-the-derivative-of-f-gmm-over-r-2.htmlBuzz Spill Dailyen2026-08-10T16:57:45-04:00Find the derivative of $F =$ $(GmM)\over r^2$https://liberty.io/is-it-possible-to-calculate-the-standard-deviation-with-a-given-mean-a.htmlBuzz Spill Dailyen2026-08-10T16:47:13-04:00is it possible to calculate the standard deviation with a given mean and sample size?https://liberty.io/how-to-convert-from-cartesian-to-polar-equation.htmlBuzz Spill Dailyen2026-08-10T16:45:14-04:00How to convert from cartesian to polar equationhttps://liberty.io/scaling-rigid-or-non-rigid-transformation.htmlBuzz Spill Dailyen2026-08-10T16:43:34-04:00Scaling - Rigid or Non-Rigid Transformationhttps://liberty.io/how-to-find-the-vector-equation-of-a-plane-given-the-scalar-equation-c.htmlBuzz Spill Dailyen2026-08-10T16:43:06-04:00How to find the vector equation of a plane given the scalar equation? [closed]https://liberty.io/the-coercivity-of-uniformly-positive-definite-matrix-of-sobolev-functi.htmlBuzz Spill Dailyen2026-08-10T16:39:28-04:00The Coercivity of uniformly positive definite Matrix of Sobolev functionhttps://liberty.io/in-english-is-there-a-difference-between-square-and-squared.htmlBuzz Spill Dailyen2026-08-10T16:37:06-04:00In English, is there a difference between square and squared?https://liberty.io/real-analysis-folland-problem-1-5-29-lebesgue-measurable-set.htmlBuzz Spill Dailyen2026-08-10T16:32:06-04:00Real Analysis, Folland Problem 1.5.29 Lebesgue measurable sethttps://liberty.io/evaluating-surface-integral-using-stokes-039-theorem.htmlBuzz Spill Dailyen2026-08-10T16:30:34-04:00Evaluating Surface Integral Using Stokes' Theoremhttps://liberty.io/prove-that-the-planar-curve-obtained-by-projecting-alpha-into-its-oscu.htmlBuzz Spill Dailyen2026-08-10T16:29:25-04:00Prove that the planar curve obtained by projecting $\alpha$ into its osculating plane at $P$ has the same curvature at $P$ as $\alpha$.https://liberty.io/write-2-log-3-x-log-9-x-4-log-27-x-5-into-one-single-logarithm.htmlBuzz Spill Dailyen2026-08-10T16:25:04-04:00Write $2+\log_3 x+\log_9 x^4-\log_{27} x^5$ into one single logarithmhttps://liberty.io/how-to-find-the-potential-function-of-a-vector-field.htmlBuzz Spill Dailyen2026-08-10T16:23:31-04:00How to find the potential function of a vector field?https://liberty.io/is-the-term-monotone-used-fairly-consistently-to-mean-non-decreasing-o.htmlBuzz Spill Dailyen2026-08-10T16:18:54-04:00Is the term *monotone* used fairly consistently to mean non-decreasing or non-increasing but not strictly?https://liberty.io/orthogonal-projection-on-an-eigenspace.htmlBuzz Spill Dailyen2026-08-10T16:18:31-04:00Orthogonal projection on an eigenspacehttps://liberty.io/how-to-solve-sqrt-3-x-cos-2x-0-for-sketching-the-graph-of-y-sqrt-3-x-c.htmlBuzz Spill Dailyen2026-08-10T16:07:36-04:00How to solve $\sqrt{3}x-\cos 2x=0$ for sketching the graph of $y=\sqrt{3}x-\cos 2x$?https://liberty.io/software-for-testing-relational-algebra.htmlBuzz Spill Dailyen2026-08-10T16:07:17-04:00Software for testing relational algebrahttps://liberty.io/using-power-series-to-evaluate-a-limit.htmlBuzz Spill Dailyen2026-08-10T15:57:48-04:00Using power series to evaluate a limithttps://liberty.io/finding-a-derivative-with-imaginary-numbers.htmlBuzz Spill Dailyen2026-08-10T15:45:19-04:00Finding a derivative with imaginary numbers?https://liberty.io/what-is-the-meaning-of-a-s.htmlBuzz Spill Dailyen2026-08-10T15:42:34-04:00What is the meaning of a.s.?https://liberty.io/why-are-there-12-pentagons-and-20-hexagons-on-a-soccer-ball.htmlBuzz Spill Dailyen2026-08-10T15:40:55-04:00Why are there 12 pentagons and 20 hexagons on a soccer ball?https://liberty.io/explanation-of-method-for-finding-the-intersection-of-two-parabolas.htmlBuzz Spill Dailyen2026-08-10T15:40:01-04:00Explanation of method for finding the intersection of two parabolashttps://liberty.io/how-to-find-the-inverse-of-y-x-3-5x-2-3x-c.htmlBuzz Spill Dailyen2026-08-10T15:37:25-04:00How to find the inverse of $y=x^3-5x^2+3x+c$https://liberty.io/easy-optimization-problem-checking-to-see-my-reasoning-maximum-volume-.htmlBuzz Spill Dailyen2026-08-10T15:30:27-04:00Easy optimization problem (checking to see my reasoning) - maximum volume of cylinderhttps://liberty.io/probability-of-getting-at-least-2-heads.htmlBuzz Spill Dailyen2026-08-10T15:19:55-04:00probability of getting at-least 2 headshttps://liberty.io/gauss-sum-in-regular-7-gon.htmlBuzz Spill Dailyen2026-08-10T15:12:52-04:00Gauss sum in regular 7-gonhttps://liberty.io/symbol-for-such-that-not-in-set.htmlBuzz Spill Dailyen2026-08-10T15:01:32-04:00Symbol for “such that” (not in set)https://liberty.io/what-is-the-difference-between-sigma-sigma-bar-x-s-s-and-s-bar-x.htmlBuzz Spill Dailyen2026-08-10T14:57:31-04:00What is the difference between $\sigma, \sigma_{\bar{x}}, S, s,$ and $s_{\bar{x}}$?https://liberty.io/what-is-cos-pi-12-i-sin-pi-12-16-cos-pi-12-i-sin-pi-12-16.htmlBuzz Spill Dailyen2026-08-10T14:54:58-04:00What is $[\cos(\pi/12)+i\sin(\pi/12)]^{16}+[\cos(\pi/12)-i\sin(\pi/12)]^{16}$?https://liberty.io/absolute-value-theorem.htmlBuzz Spill Dailyen2026-08-10T14:54:16-04:00Absolute Value Theoremhttps://liberty.io/decimal-form-of-irrational-numbers.htmlBuzz Spill Dailyen2026-08-10T14:51:46-04:00Decimal form of irrational numbershttps://liberty.io/tessellate-the-plane-with-arbitrary-surfaces.htmlBuzz Spill Dailyen2026-08-10T14:30:45-04:00Tessellate the plane with arbitrary surfaceshttps://liberty.io/markov-039-s-inequality-tight-in-general.htmlBuzz Spill Dailyen2026-08-10T14:29:18-04:00Markov's inequality tight in general?https://liberty.io/what-did-whitehead-and-russell-039-s-principia-mathematica-achieve.htmlBuzz Spill Dailyen2026-08-10T14:19:01-04:00What did Whitehead and Russell's "Principia Mathematica" achieve?https://liberty.io/how-does-the-difference-quotient-with-a-square-root-in-the-numerator-e.htmlBuzz Spill Dailyen2026-08-10T14:16:08-04:00How does the difference quotient with a square root in the numerator end up with square roots in the denominator?https://liberty.io/square-brackets-in-indices.htmlBuzz Spill Dailyen2026-08-10T14:11:04-04:00Square brackets in indices?https://liberty.io/one-sided-limits-of-f-039-x-at-a-point-vs-one-sided-limits-of-the-diff.htmlBuzz Spill Dailyen2026-08-10T14:04:29-04:00One-sided limits of $f'(x)$ at a point vs. one-sided limits of the difference quotient at that pointhttps://liberty.io/can-the-delta-function-be-even-or-odd.htmlBuzz Spill Dailyen2026-08-10T14:03:15-04:00Can the delta function be even or odd?https://liberty.io/confusion-between-the-definition-of-increasing-function-and-a-theorem-.htmlBuzz Spill Dailyen2026-08-10T13:59:46-04:00Confusion between the definition of increasing function and a theorem regarding it.https://liberty.io/forward-euler-stability.htmlBuzz Spill Dailyen2026-08-10T13:55:43-04:00Forward Euler stabilityhttps://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.