https://liberty.io/what-is-the-derivative-of-log-y-with-respect-to-x.htmlBuzz Spill Dailyen2026-08-12T15:15:34-04:00What is the derivative of log y with respect to x?https://liberty.io/cutting-a-cube-with-a-plane.htmlBuzz Spill Dailyen2026-08-12T15:13:22-04:00Cutting a cube with a planehttps://liberty.io/british-flag-theorem-generalized-and-inspired-from-british-flag-theore.htmlBuzz Spill Dailyen2026-08-12T14:57:17-04:00British Flag theorem generalized and inspired from British Flag theoremhttps://liberty.io/is-this-a-solution-for-the-problem-a-3-b-3-c-3-has-no-nonzero-integer-.htmlBuzz Spill Dailyen2026-08-12T14:56:34-04:00Is this a solution for the problem: $\ a^3 + b^3 = c^3\ $ has no nonzero integer solutions?https://liberty.io/backward-stability-vs-stability.htmlBuzz Spill Dailyen2026-08-12T14:53:56-04:00Backward stability vs Stabilityhttps://liberty.io/express-using-logic-symbols.htmlBuzz Spill Dailyen2026-08-12T14:53:23-04:00Express using logic symbols:https://liberty.io/degree-of-rational-function.htmlBuzz Spill Dailyen2026-08-12T14:51:21-04:00Degree of Rational Functionhttps://liberty.io/do-all-straight-lines-have-an-inverse-function.htmlBuzz Spill Dailyen2026-08-12T14:49:55-04:00Do all straight lines have an inverse function?https://liberty.io/quaternions-problem-with-understanding-essence-of.htmlBuzz Spill Dailyen2026-08-12T14:36:30-04:00Quaternions. Problem with understanding essence of.https://liberty.io/trees-on-six-vertices.htmlBuzz Spill Dailyen2026-08-12T14:27:43-04:00trees on six verticeshttps://liberty.io/what-is-the-difference-between-equation-and-formula.htmlBuzz Spill Dailyen2026-08-12T14:18:18-04:00What is the difference between equation and formula?https://liberty.io/are-the-endpoints-of-the-domain-of-a-function-counted-as-critical-poin.htmlBuzz Spill Dailyen2026-08-12T14:06:38-04:00Are the endpoints of the domain of a function counted as critical points? [duplicate]https://liberty.io/cdf-for-a-continuous-random-variable.htmlBuzz Spill Dailyen2026-08-12T14:05:00-04:00CDF for a continuous random variablehttps://liberty.io/finding-the-radius-of-the-smallest-circle-that-can-circumscribe-an-equ.htmlBuzz Spill Dailyen2026-08-12T14:00:38-04:00Finding the radius of the smallest circle that can circumscribe an equilateral trianglehttps://liberty.io/how-to-find-a-circle-given-a-segment.htmlBuzz Spill Dailyen2026-08-12T13:58:16-04:00How to find a circle given a segment?https://liberty.io/continuous-differentiability-implies-lipschitz-continuity.htmlBuzz Spill Dailyen2026-08-12T13:49:34-04:00Continuous differentiability implies Lipschitz continuityhttps://liberty.io/equipotent-sets.htmlBuzz Spill Dailyen2026-08-12T13:38:42-04:00Equipotent Setshttps://liberty.io/difference-between-direction-cosine-matrix-dcm-and-rotation-matrix.htmlBuzz Spill Dailyen2026-08-12T13:38:37-04:00Difference between Direction cosine matrix (DCM) and rotation matrixhttps://liberty.io/definition-of-suspension-topology.htmlBuzz Spill Dailyen2026-08-12T13:37:38-04:00Definition of Suspension (Topology).https://liberty.io/what-is-f-prime.htmlBuzz Spill Dailyen2026-08-12T13:30:14-04:00what is f prime?https://liberty.io/points-in-general-position.htmlBuzz Spill Dailyen2026-08-12T13:21:33-04:00Points in general positionhttps://liberty.io/domain-and-range-of-a-sequence.htmlBuzz Spill Dailyen2026-08-12T13:05:34-04:00Domain and Range of a sequencehttps://liberty.io/chain-rule-using-tree-diagram-why-does-it-work.htmlBuzz Spill Dailyen2026-08-12T12:52:28-04:00chain rule using tree diagram, why does it work?https://liberty.io/help-with-proof-of-expected-value-of-gamma-distribution.htmlBuzz Spill Dailyen2026-08-12T12:39:09-04:00Help with proof of expected value of gamma distributionhttps://liberty.io/essentially-bounded-function-on-mathbb-r.htmlBuzz Spill Dailyen2026-08-12T12:24:33-04:00Essentially bounded function on $\mathbb{R}$https://liberty.io/prove-transitivity-property-congruence-mod-m.htmlBuzz Spill Dailyen2026-08-12T12:23:04-04:00prove transitivity property congruence mod mhttps://liberty.io/how-can-i-plot-a-2d-figure-in-matlab-by-connecting-the-dots.htmlBuzz Spill Dailyen2026-08-12T12:22:02-04:00How can I plot a 2D figure in MATLAB by "connecting the dots"?https://liberty.io/transformation-matrix-for-matrix-indices-to-cartesian-coordinates.htmlBuzz Spill Dailyen2026-08-12T12:14:06-04:00Transformation matrix for matrix indices to cartesian coordinateshttps://liberty.io/solving-a-stratonovich-sde.htmlBuzz Spill Dailyen2026-08-12T12:11:38-04:00Solving a Stratonovich SDEhttps://liberty.io/why-special-limit-of-euler-039-s-number-fails-at-higher-powers.htmlBuzz Spill Dailyen2026-08-12T12:06:58-04:00Why Special Limit of Euler&#039;s Number fails at higher powers?https://liberty.io/conversion-of-a-vector-in-a-cartesian-coordinate-system-to-a-cylindric.htmlBuzz Spill Dailyen2026-08-12T12:02:37-04:00Conversion of a Vector in a Cartesian Coordinate System to a Cylindrical Coordinate Systemhttps://liberty.io/positivity-in-algebraic-geometry.htmlBuzz Spill Dailyen2026-08-12T11:56:34-04:00Positivity in algebraic geometry.https://liberty.io/understanding-the-proof-to-egorov-039-s-theorem.htmlBuzz Spill Dailyen2026-08-12T11:55:14-04:00Understanding the proof to Egorov&#039;s Theoremhttps://liberty.io/average-smallest-prime-factors.htmlBuzz Spill Dailyen2026-08-12T11:53:40-04:00Average smallest prime factorshttps://liberty.io/how-to-really-understand-the-tensor-algebra.htmlBuzz Spill Dailyen2026-08-12T11:53:19-04:00How to really understand the tensor algebra?https://liberty.io/derivative-of-function-raised-to-a-power-using-the-chain-rule.htmlBuzz Spill Dailyen2026-08-12T11:32:54-04:00Derivative of function raised to a power, using the chain rulehttps://liberty.io/lusin-spaces-issues-on-the-definition-and-on-spaces-used-in-analysis-t.htmlBuzz Spill Dailyen2026-08-12T11:27:42-04:00Lusin spaces: Issues on the definition, and on spaces used in analysis that are not Lusinhttps://liberty.io/how-to-find-terminal-point-coordinates-on-a-unit-circle.htmlBuzz Spill Dailyen2026-08-12T11:25:06-04:00How to find terminal point coordinates on a unit circle?https://liberty.io/adding-two-polar-vectors.htmlBuzz Spill Dailyen2026-08-12T11:24:12-04:00Adding two polar vectorshttps://liberty.io/taylor-series-for-exponential-function.htmlBuzz Spill Dailyen2026-08-12T11:19:07-04:00Taylor series for exponential function.https://liberty.io/how-is-boundary-of-a-set-defined-is-boundary-of-an-open-set-s-included.htmlBuzz Spill Dailyen2026-08-12T11:18:34-04:00How is boundary of a set defined? Is boundary of an open set $S$ included in $S$? [closed]https://liberty.io/helix-around-helix-around-circle.htmlBuzz Spill Dailyen2026-08-12T11:14:48-04:00Helix around Helix around Circlehttps://liberty.io/proof-that-every-polynomial-of-odd-degree-has-one-real-root.htmlBuzz Spill Dailyen2026-08-12T11:12:17-04:00Proof that every polynomial of odd degree has one real roothttps://liberty.io/liate-how-does-it-work.htmlBuzz Spill Dailyen2026-08-12T11:11:33-04:00LIATE : How does it work?https://liberty.io/notation-what-is-the-element-wise-max-notation.htmlBuzz Spill Dailyen2026-08-12T11:00:10-04:00Notation: What is the element-wise max notation?https://liberty.io/calculating-real-and-imaginary-part-of-a-complex-number.htmlBuzz Spill Dailyen2026-08-12T10:59:44-04:00Calculating real and imaginary part of a complex numberhttps://liberty.io/how-to-factor-quadratic-ax-2-bx-c.htmlBuzz Spill Dailyen2026-08-12T10:58:06-04:00How to factor quadratic $ax^2+bx+c$?https://liberty.io/1-to-the-power-of-infinity-why-is-it-indeterminate-duplicate.htmlBuzz Spill Dailyen2026-08-12T10:48:35-04:001 to the power of infinity, why is it indeterminate? [duplicate]https://liberty.io/triangle-inequality-theorem.htmlBuzz Spill Dailyen2026-08-12T10:46:42-04:00triangle inequality theoremhttps://liberty.io/measure-theory-for-self-study-duplicate.htmlBuzz Spill Dailyen2026-08-12T10:30:19-04:00Measure theory for self study. [duplicate]https://liberty.io/what-does-it-mean-sequence-with-infinite-range.htmlBuzz Spill Dailyen2026-08-12T10:23:45-04:00What does it mean "sequence with infinite range"https://liberty.io/what-does-this-subset-symbol-mean.htmlBuzz Spill Dailyen2026-08-12T10:21:30-04:00What does this "subset" symbol mean?https://liberty.io/finding-parametric-equations-from-lines.htmlBuzz Spill Dailyen2026-08-12T10:21:05-04:00Finding parametric equations from lineshttps://liberty.io/how-to-find-median-from-a-probability-distribution.htmlBuzz Spill Dailyen2026-08-12T10:20:01-04:00How to find median from a probability distribution?https://liberty.io/solving-bernoulli-differential-equation.htmlBuzz Spill Dailyen2026-08-12T10:17:38-04:00Solving bernoulli differential equationhttps://liberty.io/is-there-really-no-way-to-integrate-e-x-2.htmlBuzz Spill Dailyen2026-08-12T10:11:45-04:00Is there really no way to integrate $e^{-x^2}$?https://liberty.io/how-to-find-the-volume-of-a-tetrahedron.htmlBuzz Spill Dailyen2026-08-12T10:06:46-04:00How to find the volume of a tetrahedron?https://liberty.io/vector-dot-product-0-for-perpendicular-vectors.htmlBuzz Spill Dailyen2026-08-12T09:59:40-04:00Vector dot product = 0 for perpendicular vectorshttps://liberty.io/showing-an-isometry-preserves-angles.htmlBuzz Spill Dailyen2026-08-12T09:58:07-04:00Showing an isometry preserves angleshttps://liberty.io/when-is-it-allowed-to-take-apart-a-limit-multiplication-of-limits.htmlBuzz Spill Dailyen2026-08-12T09:46:09-04:00When is it allowed to "take apart" a limit (multiplication of limits)?https://liberty.io/what-do-you-get-when-you-take-the-square-root-of-a-negative-imaginary-.htmlBuzz Spill Dailyen2026-08-12T09:41:40-04:00What do you get when you take the square root of a negative imaginary number?https://liberty.io/prove-that-sin-x-cos-x-sqrt2-sin-left-x-frac-pi4-right.htmlBuzz Spill Dailyen2026-08-12T09:37:11-04:00Prove that $\sin(x)+\cos (x)=\sqrt2\sin\left(x+\frac\pi4\right)$https://liberty.io/why-we-use-multiplication-rule-in-an-independent-event-in-probability.htmlBuzz Spill Dailyen2026-08-12T09:21:54-04:00Why we use multiplication rule in an independent event in Probability?https://liberty.io/limit-of-the-ratio-of-consecutive-fibonacci-numbers-duplicate.htmlBuzz Spill Dailyen2026-08-12T09:11:01-04:00Limit of the ratio of consecutive Fibonacci numbers [duplicate]https://liberty.io/definition-of-continuity.htmlBuzz Spill Dailyen2026-08-12T09:05:49-04:00Definition of continuityhttps://liberty.io/what-is-the-meaning-of-evaluating-the-divergence-at-a-point.htmlBuzz Spill Dailyen2026-08-12T09:02:27-04:00What is the meaning of evaluating the divergence at a _point_?https://liberty.io/create-unique-number-from-2-numbers.htmlBuzz Spill Dailyen2026-08-12T09:01:44-04:00Create unique number from 2 numbershttps://liberty.io/intuitive-proof-of-multivariable-changing-of-variables-formula-jacobia.htmlBuzz Spill Dailyen2026-08-12T09:00:25-04:00Intuitive proof of multivariable changing of variables formula (Jacobian) without using mapping and/or measure theory?https://liberty.io/understanding-e-and-e-to-the-power-of-imaginary-number.htmlBuzz Spill Dailyen2026-08-12T08:54:14-04:00Understanding $e$ and $e$ to the power of imaginary numberhttps://liberty.io/suppose-that-a-and-b-are-positive-integers-such-that-a-2-3b-2-show-tha.htmlBuzz Spill Dailyen2026-08-12T08:46:55-04:00Suppose that $a$ and $b$ are positive integers such that $a^2 = 3b^2$. Show that $0 < b < a < 2b$ and $(3b-a)^2 = 3(a-b)^2$https://liberty.io/find-the-infinite-sum-of-the-series-sum-n-1-infty-frac-1-n-2-1.htmlBuzz Spill Dailyen2026-08-12T08:44:39-04:00Find the infinite sum of the series $\sum_{n=1}^\infty \frac{1}{n^2 +1}$https://liberty.io/why-the-complex-number-6-sin-240-circ-i-cos-240-circ-lies-in-first-qua.htmlBuzz Spill Dailyen2026-08-12T08:12:35-04:00Why the complex number $6(\sin(240^{\circ}) + i \cos(240^{\circ}))$ lies in first quadrant?https://liberty.io/second-derivative-of-a-polar-coordinate.htmlBuzz Spill Dailyen2026-08-12T08:09:52-04:00Second Derivative of a Polar Coordinatehttps://liberty.io/prove-n-is-o-n-log-n-closed.htmlBuzz Spill Dailyen2026-08-12T07:44:49-04:00prove $n$ is $O(n\log n)$ [closed]https://liberty.io/how-to-intuitively-understand-eigenvalue-and-eigenvector.htmlBuzz Spill Dailyen2026-08-12T07:41:51-04:00How to intuitively understand eigenvalue and eigenvector?https://liberty.io/to-convert-rotation-vector-to-rotation-matrix-the-rotation-vector-must.htmlBuzz Spill Dailyen2026-08-12T07:41:25-04:00To Convert Rotation Vector to Rotation Matrix, the Rotation Vector Must be Unit?https://liberty.io/what-does-it-mean-to-be-affinely-independent-and-why-is-it-important-t.htmlBuzz Spill Dailyen2026-08-12T07:38:35-04:00What does it mean to be "affinely independent", and why is it important to learn?https://liberty.io/2d-rubik-039-s-cube.htmlBuzz Spill Dailyen2026-08-12T07:37:58-04:002D Rubik&#039;s cube?https://liberty.io/solve-x-2-5x-3-x-2-x-in-mathbb-r.htmlBuzz Spill Dailyen2026-08-12T07:31:33-04:00Solve $x^2-|5x-3|-x<2,\ \ x\in \mathbb{R} $https://liberty.io/rate-of-change-of-cylindrical-roll-039-s-volume-as-it-unrolls.htmlBuzz Spill Dailyen2026-08-12T07:22:31-04:00Rate of Change of Cylindrical Roll&#039;s Volume as it Unrollshttps://liberty.io/what-did-tao-prove-in-the-paper-almost-all-orbits-of-the-collatz-map-a.htmlBuzz Spill Dailyen2026-08-12T07:17:53-04:00What did Tao prove in the paper "Almost All Orbits of the Collatz Map Attain Almost Bounded Values&#039;&#039;?https://liberty.io/equation-for-line-parallel-to-z-axis-and-intersects-x-axis-at-x-k-y-0-.htmlBuzz Spill Dailyen2026-08-12T07:12:32-04:00Equation for line parallel to z-axis and intersects x-axis at (x=k, y=0, z=0)https://liberty.io/derivative-method-of-proving-of-sqrt-x-ln-x.htmlBuzz Spill Dailyen2026-08-12T07:09:47-04:00Derivative Method of Proving of $\sqrt{x}>\ln x$https://liberty.io/why-is-the-maximum-rayleigh-quotient-equal-to-the-maximum-eigenvalue.htmlBuzz Spill Dailyen2026-08-12T06:57:15-04:00Why is the maximum Rayleigh quotient equal to the maximum eigenvalue?https://liberty.io/roll-1-die-and-square-or-roll-2-dice-and-multiply-which-has-higher-mea.htmlBuzz Spill Dailyen2026-08-12T06:46:51-04:00Roll $1$ die and square or roll $2$ dice and multiply; which has higher mean?https://liberty.io/circular-arrangements-at-a-round-table.htmlBuzz Spill Dailyen2026-08-12T06:46:31-04:00Circular arrangements at a round tablehttps://liberty.io/find-the-value-of-k-if-the-roots-of-an-equation-differ-by-2.htmlBuzz Spill Dailyen2026-08-12T06:43:57-04:00Find the value of k if the roots of an equation differ by 2.https://liberty.io/sum-of-2-consecutive-integers-is-x-then-their-product-will-be-closed.htmlBuzz Spill Dailyen2026-08-12T06:43:26-04:00Sum of 2 consecutive integers is $x$ then their product will be? [closed]https://liberty.io/integral-from-zero-to-zero.htmlBuzz Spill Dailyen2026-08-12T06:42:15-04:00integral from zero to zerohttps://liberty.io/is-there-a-way-to-solve-for-an-unknown-in-a-factorial.htmlBuzz Spill Dailyen2026-08-12T06:41:52-04:00Is there a way to solve for an unknown in a factorial?https://liberty.io/at-what-rate-is-the-angle-theta-changing-when-10-ft-of-rope-is-out.htmlBuzz Spill Dailyen2026-08-12T06:31:28-04:00At what rate is the angle $\theta$ changing when 10 ft. of rope is out?https://liberty.io/how-to-demonstrate-derivability.htmlBuzz Spill Dailyen2026-08-12T06:23:22-04:00How to demonstrate derivability?https://liberty.io/creating-a-bijection-to-check-if-graphs-are-isomorphic.htmlBuzz Spill Dailyen2026-08-12T06:20:45-04:00Creating a Bijection to check if Graphs are Isomorphichttps://liberty.io/how-to-find-critical-points-of-multidimensional-function.htmlBuzz Spill Dailyen2026-08-12T06:16:48-04:00How to find critical points of multidimensional function?https://liberty.io/find-the-number-of-ordered-pairs-of-positive-integers-x-y-that-satisfy.htmlBuzz Spill Dailyen2026-08-12T06:07:12-04:00Find the number of ordered pairs of positive integers (x, y) that satisfy the equation (1/x) +(1/y)= 1/2004. [duplicate]https://liberty.io/prove-that-a-set-is-countable.htmlBuzz Spill Dailyen2026-08-12T06:07:03-04:00Prove that a set is countablehttps://liberty.io/finding-the-points-of-intersection-in-polar-equations.htmlBuzz Spill Dailyen2026-08-12T06:05:45-04:00Finding the points of intersection in Polar Equationshttps://liberty.io/calculating-flux-across-s-a-graph-of-function-g-x-y-over-unit-disc-in-.htmlBuzz Spill Dailyen2026-08-12T05:54:52-04:00Calculating flux across S (a graph of function g(x,y) over unit disc in R2)https://liberty.io/proving-absolute-value-inequalities.htmlBuzz Spill Dailyen2026-08-12T05:49:36-04:00Proving absolute value inequalitieshttps://liberty.io/why-combining-two-quadratic-equations-of-a-circle-and-a-parabola-creat.htmlBuzz Spill Dailyen2026-08-12T05:39:50-04:00Why combining two quadratic equations of a circle and a parabola creates extra solutions for $x$