https://liberty.io/formal-definition-of-plane.htmlBuzz Spill Dailyen2026-08-21T16:24:09-04:00Formal definition of planehttps://liberty.io/on-a-scale-of-1-to-10-how-likely-is-it-that-this-question-is-using-bin.htmlBuzz Spill Dailyen2026-08-21T16:06:25-04:00On a scale of 1 to 10, how likely is it that this question is using binary? [closed]https://liberty.io/what-do-the-p-and-q-stand-for-in-this-quadratic-formula.htmlBuzz Spill Dailyen2026-08-21T15:55:43-04:00What do the $p$ and $q$ stand for in this quadratic formula?https://liberty.io/how-to-determine-if-a-linear-system-is-solvable.htmlBuzz Spill Dailyen2026-08-21T15:55:23-04:00How to determine if a linear system is solvablehttps://liberty.io/why-does-the-symbol-for-the-multiplication-operation-change-shape.htmlBuzz Spill Dailyen2026-08-21T15:47:57-04:00Why does the symbol for the multiplication operation change shape?https://liberty.io/what-is-an-algebra.htmlBuzz Spill Dailyen2026-08-21T15:47:50-04:00What is an algebra?https://liberty.io/what-is-the-best-way-to-solve-modular-arithmetic-equations-such-as-9x-.htmlBuzz Spill Dailyen2026-08-21T15:45:24-04:00What is the best way to solve modular arithmetic equations such as $9x \equiv 33 \pmod{43}$?https://liberty.io/prove-lim-x-to3-frac-x-2-9-x-3-6-using-delta-epsilon-definition-of-lim.htmlBuzz Spill Dailyen2026-08-21T15:41:27-04:00Prove $\lim_{x\to3}\frac{x^2 - 9}{x - 3} = 6$ using $\delta-\epsilon$ definition of limithttps://liberty.io/why-does-ln-x-ln-b-log-b-x.htmlBuzz Spill Dailyen2026-08-21T15:39:59-04:00Why does $\ln x / \ln b = \log_b x$?https://liberty.io/what-are-linear-homogeneous-and-non-homoegenous-recurrence-relations.htmlBuzz Spill Dailyen2026-08-21T15:38:31-04:00What are linear homogeneous and non-homoegenous recurrence relations?https://liberty.io/what-is-the-logic-behind-the-digit-sum-formula.htmlBuzz Spill Dailyen2026-08-21T15:38:03-04:00What is the logic behind the digit sum formula?https://liberty.io/boolean-expression-of-3-input-xor-gate.htmlBuzz Spill Dailyen2026-08-21T15:35:34-04:00Boolean expression of 3 input xor gatehttps://liberty.io/intuition-of-the-meaning-of-homology-groups.htmlBuzz Spill Dailyen2026-08-21T15:34:08-04:00Intuition of the meaning of homology groupshttps://liberty.io/show-that-each-character-of-g-which-is-zero-for-all-g-ne-1-is-an-integ.htmlBuzz Spill Dailyen2026-08-21T15:27:38-04:00Show that each character of $G$ which is zero for all $g \ne 1$ is an integral multiple of the character $r_G$ of the regular representationhttps://liberty.io/how-to-write-integral.htmlBuzz Spill Dailyen2026-08-21T15:24:29-04:00How to write integralhttps://liberty.io/finding-taylor-series-of-indefinite-integral-cos-x-2-around-x-0.htmlBuzz Spill Dailyen2026-08-21T15:24:01-04:00Finding Taylor Series of Indefinite Integral $\cos(x^2)$ around $x = 0$https://liberty.io/probability-of-sampling-with-and-without-replacement.htmlBuzz Spill Dailyen2026-08-21T15:18:50-04:00Probability of sampling with and without replacementhttps://liberty.io/how-to-solve-this-elliptic-integral.htmlBuzz Spill Dailyen2026-08-21T15:16:13-04:00How to solve this elliptic integral ??https://liberty.io/finding-maximum-rate-of-change-of-a-function-of-two-variables.htmlBuzz Spill Dailyen2026-08-21T15:03:18-04:00Finding maximum rate of change of a function of two variableshttps://liberty.io/simplifying-cos-x-times-cos-y.htmlBuzz Spill Dailyen2026-08-21T15:01:35-04:00Simplifying $\cos(x) \times \cos(y)$https://liberty.io/algorithm-to-compute-newton-polynomial-derivative.htmlBuzz Spill Dailyen2026-08-21T14:50:57-04:00Algorithm to compute Newton polynomial derivativehttps://liberty.io/dot-product-of-two-vectors-squared-identity.htmlBuzz Spill Dailyen2026-08-21T14:41:37-04:00Dot product of two vectors squared identityhttps://liberty.io/is-the-gradient-operator-surjective.htmlBuzz Spill Dailyen2026-08-21T14:39:45-04:00Is the gradient operator surjective?https://liberty.io/taylor-expansion-of-sine-and-cosine.htmlBuzz Spill Dailyen2026-08-21T14:37:34-04:00Taylor Expansion of sine and cosinehttps://liberty.io/solving-a-bcd-for-c-where-a-b-c-d-are-all-matrices-closed.htmlBuzz Spill Dailyen2026-08-21T14:34:46-04:00solving $A=BCD$ for $C$, where $A,B,C,D$ are all matrices [closed]https://liberty.io/if-the-order-in-a-set-doesn-t-matter-can-we-change-order-of-say-bbb-n.htmlBuzz Spill Dailyen2026-08-21T14:33:12-04:00If the order in a set doesn’t matter, can we change order of, say, $\Bbb{N}$?https://liberty.io/are-functions-considered-continuous-at-endpoints.htmlBuzz Spill Dailyen2026-08-21T14:21:07-04:00Are functions considered continuous at endpoints?https://liberty.io/equality-of-rows-and-columns-of-a-table-with-numbers.htmlBuzz Spill Dailyen2026-08-21T14:08:09-04:00Equality of rows and columns of a table with numbershttps://liberty.io/usefulness-of-the-notion-of-hilbert-scheme-in-algebraic-geometry.htmlBuzz Spill Dailyen2026-08-21T13:45:33-04:00Usefulness of the notion of Hilbert scheme in algebraic geometry.https://liberty.io/what-is-the-inverse-function-of-f-x-x-1-x-2.htmlBuzz Spill Dailyen2026-08-21T13:27:25-04:00What is the inverse function of $f(x)=x/(1-x^2)$https://liberty.io/using-the-alternative-formula-to-find-the-derivative-of-a-function.htmlBuzz Spill Dailyen2026-08-21T13:12:58-04:00Using the alternative formula to find the derivative of a function?https://liberty.io/proving-existence.htmlBuzz Spill Dailyen2026-08-21T13:10:43-04:00Proving existencehttps://liberty.io/how-to-measure-the-volume-of-rock.htmlBuzz Spill Dailyen2026-08-21T13:09:04-04:00How to measure the volume of rock?https://liberty.io/how-to-prove-that-the-inverse-of-a-persymmetric-matrix-is-also-persymm.htmlBuzz Spill Dailyen2026-08-21T13:08:31-04:00How to prove that the inverse of a persymmetric matrix is also persymmetric?https://liberty.io/is-there-a-domain-larger-than-i-e-a-supserset-of-the-complex-number-do.htmlBuzz Spill Dailyen2026-08-21T13:06:08-04:00Is there a domain "larger" than (i.e., a supserset of) the complex number domain?https://liberty.io/how-many-different-5-letters-word-can-be-possible-by-using-the-letters.htmlBuzz Spill Dailyen2026-08-21T13:05:22-04:00How many different 5 letters word can be possible by using the letters from "Cambridge" with all the vowels in it?https://liberty.io/where-does-feigenbaum-039-s-constant-4-6692-originate-closed.htmlBuzz Spill Dailyen2026-08-21T13:03:31-04:00Where does Feigenbaum's Constant (4.6692...) originate? [closed]https://liberty.io/solving-sin-theta-cos-theta-1-in-the-interval-0-circ-leq-theta-leq-360.htmlBuzz Spill Dailyen2026-08-21T13:01:28-04:00Solving $\sin \theta + \cos \theta=1$ in the interval $0^\circ\leq \theta\leq 360^\circ$https://liberty.io/definition-of-disconnected.htmlBuzz Spill Dailyen2026-08-21T12:59:33-04:00Definition of disconnected?https://liberty.io/determine-a-matrix-knowing-its-eigenvalues-and-eigenvectors.htmlBuzz Spill Dailyen2026-08-21T12:55:04-04:00Determine a matrix knowing its eigenvalues and eigenvectorshttps://liberty.io/what-is-a-point.htmlBuzz Spill Dailyen2026-08-21T12:44:08-04:00What is a point?https://liberty.io/find-the-three-digit-prime-number.htmlBuzz Spill Dailyen2026-08-21T12:41:29-04:00Find the three digit prime number.https://liberty.io/a-question-on-a-orthogonality-of-two-vectors.htmlBuzz Spill Dailyen2026-08-21T12:35:56-04:00A question on A-orthogonality of two vectorshttps://liberty.io/parallel-system-functioning-problem.htmlBuzz Spill Dailyen2026-08-21T12:28:48-04:00Parallel system functioning problemhttps://liberty.io/is-0-infty-indeterminate.htmlBuzz Spill Dailyen2026-08-21T12:18:34-04:00Is $0^\infty$ indeterminate?https://liberty.io/alternating-series-test-question-if-it-fails-what-does-it-mean.htmlBuzz Spill Dailyen2026-08-21T12:13:22-04:00Alternating series test question. If it fails, what does it mean?https://liberty.io/is-there-a-subset-a-subseteq-mathbb-r-not-having-the-bp-baire-property.htmlBuzz Spill Dailyen2026-08-21T12:12:48-04:00Is there a subset $A\subseteq \mathbb{R}$, not having the BP (Baire property)?https://liberty.io/how-many-dimensions-does-a-circle-have.htmlBuzz Spill Dailyen2026-08-21T11:58:36-04:00How many dimensions does a circle have?https://liberty.io/use-part-1-of-the-fundamental-theorem-of-calculus-to-find-the-derivati.htmlBuzz Spill Dailyen2026-08-21T11:57:19-04:00Use part 1 of the Fundamental Theorem of Calculus to find the derivative of the following function.https://liberty.io/can-rational-numbers-have-decimals.htmlBuzz Spill Dailyen2026-08-21T11:53:22-04:00Can rational numbers have decimals?https://liberty.io/what-039-s-the-value-of-x-in-the-following-equation.htmlBuzz Spill Dailyen2026-08-21T11:45:02-04:00What's the value of $x$ in the following equation?https://liberty.io/why-is-i-3-the-complex-number-i-equal-to-i-instead-of-i-duplicate.htmlBuzz Spill Dailyen2026-08-21T11:35:34-04:00Why is $i^3$ (the complex number "$i$") equal to $-i$ instead of $i$? [duplicate]https://liberty.io/probability-of-a-dice-game-win-lose-or-draw.htmlBuzz Spill Dailyen2026-08-21T11:30:54-04:00Probability of a dice game: win, lose or draw.https://liberty.io/topology-without-tears.htmlBuzz Spill Dailyen2026-08-21T11:28:29-04:00Topology without tearshttps://liberty.io/what-is-the-usage-of-bernoulli-triangle.htmlBuzz Spill Dailyen2026-08-21T11:20:00-04:00What is the usage of Bernoulli triangle?https://liberty.io/how-to-find-a-transformation-matrix-given-coordinates-of-two-triangles.htmlBuzz Spill Dailyen2026-08-21T11:19:19-04:00How to find a transformation matrix, given coordinates of two triangles in $R^2$https://liberty.io/function-for-a-hexagonal-2-dimensional-grid.htmlBuzz Spill Dailyen2026-08-21T11:19:10-04:00Function for a hexagonal 2-dimensional gridhttps://liberty.io/why-does-the-boundary-of-the-mandelbrot-set-contain-a-cardioid.htmlBuzz Spill Dailyen2026-08-21T10:59:49-04:00Why does the boundary of the Mandelbrot set contain a cardioid?https://liberty.io/endpoints-of-interval-where-a-functions-increasing-or-decreasing.htmlBuzz Spill Dailyen2026-08-21T10:59:18-04:00Endpoints of interval where a functions increasing or decreasinghttps://liberty.io/what-does-the-notation-pi-mean-in-probability-and-statistics.htmlBuzz Spill Dailyen2026-08-21T10:44:45-04:00What does the notation $\pi$ mean in probability and statisticshttps://liberty.io/boolean-algebra-simplification-a-039-bc-ab-039-c-abc-039-abc-closed.htmlBuzz Spill Dailyen2026-08-21T10:44:02-04:00Boolean algebra simplification a'bc+ab'c+abc'+abc [closed]https://liberty.io/inverse-of-a-3x3-block-matrix.htmlBuzz Spill Dailyen2026-08-21T10:33:28-04:00Inverse of a 3x3 block matrixhttps://liberty.io/have-diagonalization-need-orthogonal-diagonalization.htmlBuzz Spill Dailyen2026-08-21T10:32:42-04:00Have diagonalization, need orthogonal diagonalizationhttps://liberty.io/find-7-999-999-modulo-10.htmlBuzz Spill Dailyen2026-08-21T10:21:37-04:00Find $7^{999,999}$ modulo (10)https://liberty.io/roots-of-parabola.htmlBuzz Spill Dailyen2026-08-21T10:12:39-04:00Roots of parabolahttps://liberty.io/should-i-round-a-decimal-number-of-people-up-or-down.htmlBuzz Spill Dailyen2026-08-21T10:05:17-04:00Should I round a decimal number of people up or down?https://liberty.io/finding-the-asymptote-root-of-a-reciprocal-function.htmlBuzz Spill Dailyen2026-08-21T09:54:17-04:00Finding the Asymptote / Root of a reciprocal functionhttps://liberty.io/how-to-find-sin-1-sin-100.htmlBuzz Spill Dailyen2026-08-21T09:40:02-04:00How to find $\sin^{-1}(\sin{100})$https://liberty.io/what-can-i-do-with-the-lifting-the-exponent-lemma.htmlBuzz Spill Dailyen2026-08-21T09:30:23-04:00What can I do with the lifting the exponent lemma?https://liberty.io/can-an-underdetermined-system-have-a-unique-solution.htmlBuzz Spill Dailyen2026-08-21T09:29:04-04:00Can an underdetermined system have a unique solution?https://liberty.io/lattice-of-subgroups-of-a4.htmlBuzz Spill Dailyen2026-08-21T09:23:59-04:00Lattice of Subgroups of A4https://liberty.io/four-letter-word-contains-no-two-consecutive-equal-letters.htmlBuzz Spill Dailyen2026-08-21T09:09:56-04:00Four-letter word contains no two consecutive equal letters.https://liberty.io/how-many-0-s-does-the-number-30-have-duplicate.htmlBuzz Spill Dailyen2026-08-21T09:09:37-04:00How many $0$s does the number $30!$ have? [duplicate]https://liberty.io/foot-of-perpendicular-in-3-dimensions.htmlBuzz Spill Dailyen2026-08-21T09:08:29-04:00Foot of perpendicular in 3 dimensionshttps://liberty.io/express-real-number-in-exponential-form.htmlBuzz Spill Dailyen2026-08-21T09:06:51-04:00Express real number in exponential formhttps://liberty.io/why-is-compactness-in-logic-called-compactness.htmlBuzz Spill Dailyen2026-08-21T08:57:27-04:00Why is compactness in logic called compactness?https://liberty.io/prove-the-theorem-of-nicomachus-by-induction.htmlBuzz Spill Dailyen2026-08-21T08:55:22-04:00Prove the theorem of Nicomachus by inductionhttps://liberty.io/get-location-of-vector-circle-intersection.htmlBuzz Spill Dailyen2026-08-21T08:43:18-04:00Get location of vector/circle intersection?https://liberty.io/testing-for-absolute-convergence-frac-1-n-5n-1.htmlBuzz Spill Dailyen2026-08-21T08:32:53-04:00Testing for absolute convergence? $\frac{(-1)^n}{5n+1}$https://liberty.io/why-does-wolfram-alpha-handle-log-and-ln-the-same.htmlBuzz Spill Dailyen2026-08-21T08:26:10-04:00Why does Wolfram Alpha handle $\log$ and $\ln$ the same?https://liberty.io/characteristics-in-the-theory-of-pde-039-s-what-039-s-going-on.htmlBuzz Spill Dailyen2026-08-21T08:26:07-04:00Characteristics in the theory of PDE's - What's Going On?https://liberty.io/ordering-of-the-complex-numbers.htmlBuzz Spill Dailyen2026-08-21T08:20:49-04:00Ordering of the complex numbershttps://liberty.io/don-039-t-really-understand-the-absorption-law.htmlBuzz Spill Dailyen2026-08-21T08:16:17-04:00Don't really understand the absorption lawhttps://liberty.io/what-does-arbitrary-number-mean.htmlBuzz Spill Dailyen2026-08-21T08:00:54-04:00What does arbitrary number mean?https://liberty.io/solutions-of-x-2-6x-13-equiv-0-pmod-127.htmlBuzz Spill Dailyen2026-08-21T08:00:11-04:00Solutions of $x^2-6x-13 \equiv 0 \pmod{127}$https://liberty.io/what-does-it-mean-for-a-matrix-to-be-non-negative-definite.htmlBuzz Spill Dailyen2026-08-21T07:52:03-04:00What does it mean for a matrix to be "non-negative definite"?https://liberty.io/determining-matrix-for-relationship-reflexive-symmetric-transitive.htmlBuzz Spill Dailyen2026-08-21T07:43:13-04:00Determining matrix for relationship: reflexive, symmetric, transitive.https://liberty.io/how-can-i-find-the-measure-of-every-angle-in-a-star-polygon.htmlBuzz Spill Dailyen2026-08-21T07:35:48-04:00How can I find the measure of every angle in a star polygon?https://liberty.io/arthur-milgram-photo.htmlBuzz Spill Dailyen2026-08-21T07:28:07-04:00Arthur Milgram photohttps://liberty.io/cross-product-of-sides-of-a-triangle.htmlBuzz Spill Dailyen2026-08-21T07:23:14-04:00cross product of sides of a trianglehttps://liberty.io/given-a-steady-state-vector-is-it-possible-to-calculate-the-correspond.htmlBuzz Spill Dailyen2026-08-21T07:14:35-04:00Given a steady state vector is it possible to calculate the corresponding transition (probability) matrixhttps://liberty.io/3d-projection-on-a-2d-plane-weak-maths-ressources.htmlBuzz Spill Dailyen2026-08-21T07:12:41-04:003D projection on a 2D plane ( weak maths ressources )https://liberty.io/expansion-of-complex-equation.htmlBuzz Spill Dailyen2026-08-21T07:09:16-04:00Expansion of complex equation.https://liberty.io/how-do-i-calculate-gf-2-galois-field-without-using-a-tool.htmlBuzz Spill Dailyen2026-08-21T07:04:44-04:00How do I calculate GF(2) (Galois Field) without using a tool?https://liberty.io/if-the-product-and-the-sum-of-two-complex-numbers-are-real-what-can-we.htmlBuzz Spill Dailyen2026-08-21T07:00:52-04:00If the product and the sum of two complex numbers are real, what can we say about the numbers?https://liberty.io/geometric-intuition-of-graph-laplacian-matrices.htmlBuzz Spill Dailyen2026-08-21T06:52:03-04:00Geometric intuition of graph Laplacian matriceshttps://liberty.io/if-sin-x-cos-x-1-3-then-determine-sin-x-cos-x.htmlBuzz Spill Dailyen2026-08-21T06:51:56-04:00If $\sin(x) - \cos(x) = 1/3$ then determine $\sin(x)\cos(x)$https://liberty.io/graph-with-both-slant-and-horizontal-asymptotes.htmlBuzz Spill Dailyen2026-08-21T06:51:07-04:00Graph with both slant and horizontal asymptoteshttps://liberty.io/is-zfc-arithmetically-sound.htmlBuzz Spill Dailyen2026-08-21T06:41:25-04:00Is ZFC arithmetically sound?https://liberty.io/how-to-solve-log-x-1-log-x-2-2.htmlBuzz Spill Dailyen2026-08-21T06:32:46-04:00How to solve $\log(x -1) + \log(x - 2) = 2?$