https://liberty.io/proof-that-every-polygon-with-an-inscribed-circle-is-convex.htmlBuzz Spill Dailyen2026-08-27T06:35:12-04:00Proof that every polygon with an inscribed circle is convex?https://liberty.io/prove-the-superposition-principle-for-nonhomogeneous-equations.htmlBuzz Spill Dailyen2026-08-27T06:35:01-04:00Prove the Superposition Principle for Nonhomogeneous Equationshttps://liberty.io/proof-of-formula-for-the-arc-length.htmlBuzz Spill Dailyen2026-08-27T06:34:57-04:00Proof of formula for the arc lengthhttps://liberty.io/find-a-cubic-function-given-an-inflection-point-critical-point-and-fun.htmlBuzz Spill Dailyen2026-08-27T06:25:43-04:00Find a Cubic Function given an inflection point, critical point, and function value.https://liberty.io/let-h-unlhd-g-and-a-in-g-if-the-coset-ah-has-order-3-in-g-h-and-h-10-w.htmlBuzz Spill Dailyen2026-08-27T06:12:40-04:00Let $H\unlhd G$ and $a\in G$. If the coset $aH$ has order $3$ in $G/H$ and $|H| = 10$, what are the possible $|a|$ in $G$?https://liberty.io/what-is-the-derivative-of-log-x-a-where-x-is-the-base-differentiaition.htmlBuzz Spill Dailyen2026-08-27T06:10:54-04:00What is the derivative of $\log_x(A)$ where $x$ is the base (differentiaition with respect to $x$)https://liberty.io/differential-equations-how-does-separation-of-variables-really-work.htmlBuzz Spill Dailyen2026-08-27T06:08:09-04:00Differential equations: how does separation of variables really work?https://liberty.io/properties-of-invertible-matrices.htmlBuzz Spill Dailyen2026-08-27T06:07:01-04:00Properties of invertible matriceshttps://liberty.io/difference-between-differentiation-and-derivatives-closed.htmlBuzz Spill Dailyen2026-08-27T06:04:45-04:00Difference between differentiation and derivatives [closed]https://liberty.io/origin-or-author-of-039-japanese-multiplication-method-039.htmlBuzz Spill Dailyen2026-08-27T05:58:10-04:00Origin or author of 'Japanese Multiplication Method'https://liberty.io/why-is-cos-2-pi-3-1-2.htmlBuzz Spill Dailyen2026-08-27T05:51:56-04:00Why is $\cos(-2\pi/3) =-1/2$?https://liberty.io/finding-the-general-solution-to-x-039-ax-with-a-0-1-0-1-0-0-1-1-1.htmlBuzz Spill Dailyen2026-08-27T05:49:57-04:00Finding the general solution to X'=AX with A = [0 1 0; 1 0 0; 1 1 1]?https://liberty.io/algebraic-expression-in-its-most-simplified-form.htmlBuzz Spill Dailyen2026-08-27T05:46:22-04:00Algebraic expression in its most simplified formhttps://liberty.io/how-to-express-other-logical-operations-via-pierce-039-s-arrow.htmlBuzz Spill Dailyen2026-08-27T05:30:42-04:00How to express other logical operations via Pierce's arrow?https://liberty.io/prove-that-the-square-of-an-integer-a-is-congruent-to-0-or-1-modulo-4.htmlBuzz Spill Dailyen2026-08-27T05:29:24-04:00Prove that the square of an integer a is congruent to 0 or 1 modulo 4https://liberty.io/why-we-need-to-know-how-to-solve-a-quadratic.htmlBuzz Spill Dailyen2026-08-27T05:27:08-04:00Why we need to know how to solve a quadratic?https://liberty.io/does-an-increasing-sequence-of-reals-converge-if-the-difference-of-con.htmlBuzz Spill Dailyen2026-08-27T05:22:46-04:00Does an increasing sequence of reals converge if the difference of consecutive terms approaches zero?https://liberty.io/examples-of-groups-in-the-real-world.htmlBuzz Spill Dailyen2026-08-27T05:19:53-04:00Examples of groups in the real worldhttps://liberty.io/taylor-series-expansion-about-x-3.htmlBuzz Spill Dailyen2026-08-27T05:05:36-04:00Taylor series expansion about $x = 3$https://liberty.io/find-x-location-using-3-known-x-y-location-using-trilateration.htmlBuzz Spill Dailyen2026-08-27T05:04:38-04:00Find X location using 3 known (X,Y) location using trilaterationhttps://liberty.io/compound-angle-formula.htmlBuzz Spill Dailyen2026-08-27T04:59:20-04:00Compound angle formulahttps://liberty.io/define-the-subgroup-of-m2-r.htmlBuzz Spill Dailyen2026-08-27T04:55:49-04:00Define the subgroup of M2(R)https://liberty.io/how-many-sides-can-a-polygon-have-before-it-is-considered-a-circle-clo.htmlBuzz Spill Dailyen2026-08-27T04:48:50-04:00How many sides can a polygon have before it is "considered" a circle? [closed]https://liberty.io/a-rectangle-is-scissors-congruent-to-a-square-of-the-same-area.htmlBuzz Spill Dailyen2026-08-27T04:48:36-04:00A rectangle is scissors congruent to a square of the same area.https://liberty.io/verifying-eigenvalues.htmlBuzz Spill Dailyen2026-08-27T04:46:08-04:00Verifying eigenvalueshttps://liberty.io/formula-for-skewed-bell-curve.htmlBuzz Spill Dailyen2026-08-27T04:38:20-04:00Formula for skewed bell curvehttps://liberty.io/orthogonality-of-sine-and-cosine-integrals.htmlBuzz Spill Dailyen2026-08-27T04:30:39-04:00Orthogonality of sine and cosine integrals.https://liberty.io/what-are-the-5-simplest-lambda-calculus-expresions.htmlBuzz Spill Dailyen2026-08-27T04:23:03-04:00what are the 5 simplest lambda calculus expresionshttps://liberty.io/how-to-obtain-3-parameters-from-a-linearized-model.htmlBuzz Spill Dailyen2026-08-27T04:20:12-04:00How to obtain 3 parameters from a linearized model?https://liberty.io/total-derivative-vs-chain-rule.htmlBuzz Spill Dailyen2026-08-27T04:20:11-04:00Total derivative vs chain rulehttps://liberty.io/parameterized-hexagonal-spiral-equation-s.htmlBuzz Spill Dailyen2026-08-27T04:15:28-04:00Parameterized hexagonal spiral equation(s)https://liberty.io/characterization-of-faithfully-flat-homomorphisms.htmlBuzz Spill Dailyen2026-08-27T03:59:30-04:00Characterization of faithfully flat homomorphismshttps://liberty.io/how-do-you-take-the-conjugate-of-a-real-matrix.htmlBuzz Spill Dailyen2026-08-27T03:40:18-04:00How do you take the conjugate of a real matrix?https://liberty.io/standard-deviation-with-exponential-distribution.htmlBuzz Spill Dailyen2026-08-27T03:35:35-04:00Standard deviation with exponential distributionhttps://liberty.io/using-unit-circle-to-explain-cos-0-1-and-sin-90-1.htmlBuzz Spill Dailyen2026-08-27T03:20:36-04:00Using unit circle to explain $\cos(0) = 1$ and $\sin(90) = 1$https://liberty.io/what-does-1-13-times-faster-mean.htmlBuzz Spill Dailyen2026-08-27T03:19:06-04:00What does -1.13 times faster mean?https://liberty.io/subset-of-a-regular-language.htmlBuzz Spill Dailyen2026-08-27T03:17:19-04:00Subset of A Regular Languagehttps://liberty.io/modulus-of-continuity-properties-and-uniform-continuity.htmlBuzz Spill Dailyen2026-08-27T03:11:01-04:00Modulus of continuity properties and uniform continuity.https://liberty.io/0-order-logic-construction-sequence.htmlBuzz Spill Dailyen2026-08-27T03:01:56-04:000 order Logic Construction Sequencehttps://liberty.io/what-does-039-039-and-039-039-mean-in-algebra.htmlBuzz Spill Dailyen2026-08-27T02:59:27-04:00What does ':' and '::' mean in algebra?https://liberty.io/definition-of-monotone-increasing-sets.htmlBuzz Spill Dailyen2026-08-27T02:46:48-04:00definition of monotone increasing setshttps://liberty.io/square-roots-of-complex-number-in-exponential-form.htmlBuzz Spill Dailyen2026-08-27T02:46:07-04:00Square roots of complex number in exponential formhttps://liberty.io/how-do-i-find-the-orthogonal-basis-for-this-plane.htmlBuzz Spill Dailyen2026-08-27T02:29:10-04:00How do I find the orthogonal basis for this plane?https://liberty.io/why-is-the-pdf-of-the-sum-of-two-continuous-random-variables-the-convo.htmlBuzz Spill Dailyen2026-08-27T02:18:45-04:00why is the PDF of the sum of two continuous random variables the convolution of the PDF's?https://liberty.io/how-to-show-i-1-i-duplicate.htmlBuzz Spill Dailyen2026-08-27T01:58:20-04:00How to show $i^{-1} = -i$? [duplicate]https://liberty.io/how-to-find-local-maximum-and-minimum-of-function-f-n-x-n-sin-x-at-x-0.htmlBuzz Spill Dailyen2026-08-27T01:54:40-04:00How to find local maximum and minimum of function $f_{n} = x^{n} \sin x$ at $x=0$https://liberty.io/is-it-possible-to-have-a-function-differentiable-but-not-continuous-in.htmlBuzz Spill Dailyen2026-08-27T01:48:58-04:00Is it possible to have a function differentiable but not continuous in a given interval?https://liberty.io/re-learning-math-from-scratch-closed.htmlBuzz Spill Dailyen2026-08-27T01:46:18-04:00Re-learning math from scratch [closed]https://liberty.io/the-pepperoni-pizza-problem.htmlBuzz Spill Dailyen2026-08-27T01:27:41-04:00The "pepperoni pizza problem"https://liberty.io/what-are-the-odds-of-rolling-a-1-and-a-20-in-two-d20-dice.htmlBuzz Spill Dailyen2026-08-27T01:27:00-04:00What are the odds of rolling a 1 and a 20 in two d20 dice?https://liberty.io/unique-solution-for-ode-y-039-sqrt-1-y-2.htmlBuzz Spill Dailyen2026-08-27T01:23:54-04:00Unique solution for ode $y' = {\sqrt{1-y^2}} $https://liberty.io/what-is-the-probability-that-a-five-card-poker-hand-has-four-aces.htmlBuzz Spill Dailyen2026-08-27T01:13:10-04:00What is the probability that a five-card poker hand has four ACES?https://liberty.io/how-to-prove-that-a-function-is-differentiable-everywhere.htmlBuzz Spill Dailyen2026-08-27T01:12:54-04:00How to prove that a function is differentiable everywhere?https://liberty.io/partial-differential-equation-with-a-flux-term.htmlBuzz Spill Dailyen2026-08-27T01:08:33-04:00Partial Differential Equation with a flux termhttps://liberty.io/find-side-bc-of-a-triangle-given-ab-ac-and-a-relation-between-angle-a-.htmlBuzz Spill Dailyen2026-08-27T01:07:39-04:00Find side BC of a triangle given AB, AC, and a relation between $\angle A$ and $\angle B$https://liberty.io/tessellating-the-sphere.htmlBuzz Spill Dailyen2026-08-27T01:06:48-04:00Tessellating the spherehttps://liberty.io/spherical-cow-calculus-1-closed.htmlBuzz Spill Dailyen2026-08-27T01:01:48-04:00Spherical Cow Calculus 1 [closed]https://liberty.io/which-is-asymptotically-larger-lg-lg-n-or-lg-lg-n.htmlBuzz Spill Dailyen2026-08-27T01:00:43-04:00Which is asymptotically larger: $\lg(\lg^* n)$ or $ \lg^*(\lg n)$?https://liberty.io/how-are-the-tangential-and-normal-components-of-the-acceleration-vecto.htmlBuzz Spill Dailyen2026-08-27T00:52:53-04:00How are the tangential and normal components of the acceleration vector derived?https://liberty.io/category-theory-homset-preserves-limits.htmlBuzz Spill Dailyen2026-08-27T00:48:06-04:00Category Theory: homset preserves limitshttps://liberty.io/how-is-fubini-039-s-theorem-used-in-the-following-proof.htmlBuzz Spill Dailyen2026-08-27T00:47:58-04:00How is Fubini's theorem used in the following proof?https://liberty.io/how-to-proof-that-phi-1-1-phi-1-for-standard-normal-distribution.htmlBuzz Spill Dailyen2026-08-27T00:41:24-04:00How to proof that $\Phi(1)=1-\Phi(-1)$ for Standard normal distribution?https://liberty.io/what-is-equipotent-relation.htmlBuzz Spill Dailyen2026-08-27T00:17:23-04:00What is Equipotent relation?https://liberty.io/what-do-you-call-the-point-where-two-lines-meet.htmlBuzz Spill Dailyen2026-08-27T00:16:37-04:00What do you call the point where two lines meet?https://liberty.io/is-the-theory-of-dual-numbers-strong-enough-to-develop-real-analysis-a.htmlBuzz Spill Dailyen2026-08-26T23:55:08-04:00Is the theory of dual numbers strong enough to develop real analysis, and does it resemble Newton's historical method for doing calculus?https://liberty.io/why-should-i-care-about-adjoint-functors.htmlBuzz Spill Dailyen2026-08-26T23:50:41-04:00Why should I care about adjoint functorshttps://liberty.io/rank-of-an-augmented-matrix.htmlBuzz Spill Dailyen2026-08-26T23:49:32-04:00Rank of an Augmented matrixhttps://liberty.io/the-use-of-gershgorin-circle-theorem.htmlBuzz Spill Dailyen2026-08-26T23:42:17-04:00The use of Gershgorin Circle Theoremhttps://liberty.io/having-trouble-understanding-meaning-of-a-finite-dimensional-vector-sp.htmlBuzz Spill Dailyen2026-08-26T23:31:47-04:00Having Trouble Understanding Meaning Of A Finite-Dimensional Vector Spacehttps://liberty.io/when-does-a-system-of-equations-have-infinite-unique-and-no-solutions.htmlBuzz Spill Dailyen2026-08-26T23:18:04-04:00When does a system of equations have infinite, unique and no solutionshttps://liberty.io/polar-form-of-frac-1-z.htmlBuzz Spill Dailyen2026-08-26T23:15:19-04:00Polar form of $\frac{1}{z}$https://liberty.io/how-to-integrate-sqrt-x-2-y-2-1-the-easy-way.htmlBuzz Spill Dailyen2026-08-26T23:10:26-04:00How to integrate $\sqrt{x^2 + y^2 + 1}$, the easy way?https://liberty.io/bound-for-the-fourier-transform.htmlBuzz Spill Dailyen2026-08-26T22:52:12-04:00Bound for the Fourier transformhttps://liberty.io/for-what-value-of-constant-a-is-function-continuous.htmlBuzz Spill Dailyen2026-08-26T22:50:48-04:00For what value of constant $a$ is function continuoushttps://liberty.io/prove-this-identity-cos-x-sec-x-cos-x-sin-2x-closed.htmlBuzz Spill Dailyen2026-08-26T22:44:49-04:00Prove this identity: $\cos x(\sec x-\cos x)=\sin^2x$ [closed]https://liberty.io/find-the-least-significant-digit-of-2-3a-where-a-10-100.htmlBuzz Spill Dailyen2026-08-26T22:43:13-04:00Find the least significant digit of $2^{3A}$, where $A=10^{100}$https://liberty.io/unimodular-matrix-definition.htmlBuzz Spill Dailyen2026-08-26T22:38:40-04:00Unimodular matrix definition?https://liberty.io/choosing-randomly-integers-from-1-to-10.htmlBuzz Spill Dailyen2026-08-26T22:29:10-04:00Choosing randomly integers from $1$ to $10$https://liberty.io/rotate-a-shape-360-degrees-on-one-axis-and-not-be-the-same-as-the-star.htmlBuzz Spill Dailyen2026-08-26T22:23:44-04:00Rotate a shape 360 degrees on one axis and not be the same as the starting shape?https://liberty.io/summation-of-1-k-duplicate.htmlBuzz Spill Dailyen2026-08-26T22:19:19-04:00Summation of 1/k [duplicate]https://liberty.io/sobolev-norm-in-the-definition-of-sobolev-spaces.htmlBuzz Spill Dailyen2026-08-26T22:17:58-04:00Sobolev norm in the definition of Sobolev spaceshttps://liberty.io/conflicting-definition-of-the-hessian-matrix-does-the-order-of-the-par.htmlBuzz Spill Dailyen2026-08-26T22:12:18-04:00Conflicting definition of the Hessian matrix: does the order of the partials of a Hessian matrix matter?https://liberty.io/how-to-visualize-triple-integrals.htmlBuzz Spill Dailyen2026-08-26T22:00:07-04:00How to visualize triple integrals?https://liberty.io/orthogonal-projection-onto-a-vector-with-matrix-transformation.htmlBuzz Spill Dailyen2026-08-26T21:57:07-04:00Orthogonal projection onto a vector with matrix transformationhttps://liberty.io/how-to-express-rounding-down-up-to-nearest-multiplum-of-a-number.htmlBuzz Spill Dailyen2026-08-26T21:48:52-04:00How to express rounding down/up to nearest multiplum of a number?https://liberty.io/domain-and-range-of-f-x.htmlBuzz Spill Dailyen2026-08-26T21:46:40-04:00Domain and Range of f(x)https://liberty.io/angle-between-edges-in-a-square-pyramid.htmlBuzz Spill Dailyen2026-08-26T21:35:01-04:00Angle between edges in a square pyramidhttps://liberty.io/derivative-of-1-1-x-2.htmlBuzz Spill Dailyen2026-08-26T21:33:22-04:00Derivative of $1/(1-x)^2$https://liberty.io/mercer-039-s-condition-and-rkhss.htmlBuzz Spill Dailyen2026-08-26T21:31:20-04:00Mercer's condition and RKHSshttps://liberty.io/instantaneous-rate-of-change-and-average-rate-of-change.htmlBuzz Spill Dailyen2026-08-26T21:27:58-04:00Instantaneous Rate of Change and Average Rate of Changehttps://liberty.io/which-of-the-following-sets-of-vectors-are-linearly-independent.htmlBuzz Spill Dailyen2026-08-26T21:20:54-04:00Which of the following sets of vectors are linearly independent?https://liberty.io/applying-mean-value-theorem-to-formula.htmlBuzz Spill Dailyen2026-08-26T21:13:13-04:00Applying Mean Value Theorem to formulahttps://liberty.io/dimension-of-solution-set-for-ax-b-but-the-solution-set-isn-039-t-a-ve.htmlBuzz Spill Dailyen2026-08-26T21:12:01-04:00Dimension of solution set for $Ax=b$. But the solution set isn't a vector space so why talk about it's dimensions?https://liberty.io/assuming-a-n-is-a-convergent-sequence-prove-that-the-lim-inf-of-a-n-1-.htmlBuzz Spill Dailyen2026-08-26T21:04:07-04:00Assuming ${a_n}$ is a convergent sequence, prove that the lim inf of $a_{n+1}$ is equal to the lim inf of $a_n$https://liberty.io/why-can-a-matrix-without-a-full-rank-not-be-invertible.htmlBuzz Spill Dailyen2026-08-26T20:58:06-04:00Why can a matrix without a full rank not be invertible?https://liberty.io/proof-of-a-2-ab-b-2-0-a-b-both-are-not-zero-both-are-real-duplicate.htmlBuzz Spill Dailyen2026-08-26T20:55:07-04:00proof of a^2 + ab + b^2 >0; a,b, both are not zero, both are real [duplicate]https://liberty.io/what-is-the-difference-between-average-and-expected-value.htmlBuzz Spill Dailyen2026-08-26T20:54:15-04:00What is the difference between Average and Expected value?https://liberty.io/prove-that-x-is-rational.htmlBuzz Spill Dailyen2026-08-26T20:36:45-04:00Prove that x is rationalhttps://liberty.io/differentiating-with-respect-to-1-x.htmlBuzz Spill Dailyen2026-08-26T20:36:15-04:00Differentiating with respect to $1 - x$https://liberty.io/minimal-sufficient-statistics-for-uniform-distribution-on-theta-theta.htmlBuzz Spill Dailyen2026-08-26T20:34:22-04:00Minimal sufficient statistics for uniform distribution on $(-\theta, \theta)$