https://liberty.io/transformation-of-unit-vectors-from-cartesian-coordinate-to-cylindrica.htmlBuzz Spill Dailyen2026-08-23T15:25:28-04:00Transformation of unit vectors from cartesian coordinate to cylindrical coordinatehttps://liberty.io/reduce-specific-cubic-equation-to-quadratic.htmlBuzz Spill Dailyen2026-08-23T15:24:17-04:00Reduce specific cubic equation to quadratichttps://liberty.io/centre-of-mass-on-a-sphere.htmlBuzz Spill Dailyen2026-08-23T15:18:42-04:00Centre of mass on a spherehttps://liberty.io/branching-process-interpretation-of-giant-component.htmlBuzz Spill Dailyen2026-08-23T15:16:13-04:00Branching process interpretation of giant componenthttps://liberty.io/duality-with-a-stochastic-matrix.htmlBuzz Spill Dailyen2026-08-23T15:15:12-04:00Duality with a stochastic matrixhttps://liberty.io/is-every-bounded-sequence-convergent-closed.htmlBuzz Spill Dailyen2026-08-23T14:39:59-04:00Is every bounded sequence convergent? [closed]https://liberty.io/why-are-all-prime-numbers-are-congruent-to-1-or-5-mod6-duplicate.htmlBuzz Spill Dailyen2026-08-23T14:39:10-04:00Why are all prime numbers are congruent to 1 or 5 (mod6)? [duplicate]https://liberty.io/is-a-sequence-of-all-the-same-numbers-monotonic.htmlBuzz Spill Dailyen2026-08-23T14:30:08-04:00Is a sequence of all the same numbers monotonic?https://liberty.io/can-a-piece-of-a4-paper-be-folded-so-that-it-039-s-thick-enough-to-rea.htmlBuzz Spill Dailyen2026-08-23T14:24:03-04:00Can a piece of A4 paper be folded so that it&#039;s thick enough to reach the moon?https://liberty.io/derivative-over-the-function-itself.htmlBuzz Spill Dailyen2026-08-23T14:23:15-04:00Derivative over the function itselfhttps://liberty.io/how-to-find-in-which-number-base-the-operation-was-done-by-looking-at-.htmlBuzz Spill Dailyen2026-08-23T14:12:34-04:00How to find in which number base the operation was done by looking at the corresponding operation in decimal system?https://liberty.io/how-to-explain-what-it-means-to-say-a-function-is-defined-on-an-interv.htmlBuzz Spill Dailyen2026-08-23T14:07:29-04:00How to explain what it means to say a function is "defined" on an interval?https://liberty.io/error-of-taylor-series.htmlBuzz Spill Dailyen2026-08-23T14:07:04-04:00Error of Taylor Series?https://liberty.io/how-to-find-the-average-value-of-y-e-x-between-x-e-and-x-2e-closed.htmlBuzz Spill Dailyen2026-08-23T14:04:03-04:00How to find the average value of $y = e^x$ between $x = e$ and $x = 2e$? [closed]https://liberty.io/which-of-these-event-can-be-represented-in-either-a-venn-diagram-and-t.htmlBuzz Spill Dailyen2026-08-23T14:03:10-04:00Which of these event can be represented in either a Venn diagram and tree diagram ?https://liberty.io/how-do-you-find-the-number-that-corresponds-to-quartile-1-when-given-a.htmlBuzz Spill Dailyen2026-08-23T14:01:46-04:00How do you find the number that corresponds to Quartile 1, when given an even number of scores?https://liberty.io/general-solution-to-wave-equation-algebraic-approach.htmlBuzz Spill Dailyen2026-08-23T13:46:51-04:00General solution to Wave Equation (algebraic approach)https://liberty.io/prove-that-if-x-and-y-are-sequences-such-that-x-converges-to-x-neq-0-a.htmlBuzz Spill Dailyen2026-08-23T13:45:59-04:00Prove that if $X$ and $Y$ are sequences such that $X$ converges to $x\neq 0$ and $XY$ converges, then $Y$ convergeshttps://liberty.io/proof-by-induction-binomial-theorem.htmlBuzz Spill Dailyen2026-08-23T13:37:34-04:00Proof by induction (binomial theorem)https://liberty.io/cofree-construction-thought-process.htmlBuzz Spill Dailyen2026-08-23T13:34:00-04:00Cofree construction, thought processhttps://liberty.io/expressing-5-8-sqrt-40-56-4-5-8-sqrt-10-56-4-in-simplified-radical-for.htmlBuzz Spill Dailyen2026-08-23T13:33:57-04:00Expressing $(5.8\sqrt{40} + 56.4) - (5.8\sqrt{10} + 56.4)$ in simplified radical formhttps://liberty.io/how-many-solutions-does-riemann-039-s-p-symbol-describe.htmlBuzz Spill Dailyen2026-08-23T13:21:15-04:00How many solutions does Riemann&#039;s P-symbol describe?https://liberty.io/improper-integral-of-sin-x-x-from-zero-to-infinity-duplicate.htmlBuzz Spill Dailyen2026-08-23T13:13:40-04:00Improper integral of sin(x)/x from zero to infinity [duplicate]https://liberty.io/why-use-the-letter-k-in-the-function-transformation-formula-f-x-h-k.htmlBuzz Spill Dailyen2026-08-23T13:10:28-04:00Why use the letter "k" in the function transformation formula $f(x - h) + k$?https://liberty.io/how-to-prove-that-two-lines-in-3d-are-not-parallel-and-do-not-intersec.htmlBuzz Spill Dailyen2026-08-23T13:10:06-04:00How to prove that two lines in 3D are not parallel and do not intersect; also, how to find the distance between them?https://liberty.io/the-degree-of-a-polynomial-which-also-has-negative-exponents.htmlBuzz Spill Dailyen2026-08-23T12:49:42-04:00The degree of a polynomial which also has negative exponents.https://liberty.io/hausdorff-topological-space.htmlBuzz Spill Dailyen2026-08-23T12:48:07-04:00Hausdorff Topological Spacehttps://liberty.io/what-is-arctan-9-in-terms-of-pi.htmlBuzz Spill Dailyen2026-08-23T12:46:00-04:00What is $\arctan (9)$ in terms of $\pi$?https://liberty.io/almost-complex-manifolds-are-orientable.htmlBuzz Spill Dailyen2026-08-23T12:35:15-04:00Almost complex manifolds are orientablehttps://liberty.io/is-the-square-root-of-negative-1-equal-to-i-or-is-it-equal-to-plus-or-.htmlBuzz Spill Dailyen2026-08-23T12:32:58-04:00Is the square root of negative 1 equal to i or is it equal to plus or minus i? [duplicate]https://liberty.io/user-jiayin-pan-mathematics-stack-exchange.htmlBuzz Spill Dailyen2026-08-23T12:30:56-04:00User Jiayin Pan - Mathematics Stack Exchangehttps://liberty.io/probability-of-getting-a-pair-in-texas-hold-039-em-poker.htmlBuzz Spill Dailyen2026-08-23T12:16:52-04:00Probability of getting a pair in Texas Hold&#039;em pokerhttps://liberty.io/expected-value-of-square-of-euclidean-norm-of-a-gaussian-random-vector.htmlBuzz Spill Dailyen2026-08-23T11:40:26-04:00Expected value of square of Euclidean norm of a gaussian random vectorhttps://liberty.io/difference-between-omitting-the-multiplication-sign-and-keeping-it-dup.htmlBuzz Spill Dailyen2026-08-23T11:33:42-04:00Difference between Omitting the multiplication sign and keeping it [duplicate]https://liberty.io/show-that-the-equation-represents-a-circle-and-find-the-centre.htmlBuzz Spill Dailyen2026-08-23T11:25:08-04:00show that the equation represents a circle and find the centrehttps://liberty.io/what-is-infinite-horizon-problem.htmlBuzz Spill Dailyen2026-08-23T11:25:01-04:00What is infinite horizon problem?https://liberty.io/how-to-show-that-derivative-of-phi-v-with-respect-to-v-is-phi-039-v-a-.htmlBuzz Spill Dailyen2026-08-23T11:23:42-04:00How to show that derivative of $\phi(v)$ with respect to $v$ is $\phi&#039;( v)= a(1-\phi^2(v))/2$https://liberty.io/how-can-i-define-an-infinitely-small-positive-value.htmlBuzz Spill Dailyen2026-08-23T11:22:22-04:00How can I define an infinitely small positive value?https://liberty.io/three-dimensional-random-walk.htmlBuzz Spill Dailyen2026-08-23T11:19:04-04:00Three-Dimensional Random Walkhttps://liberty.io/the-product-of-two-positive-definite-matrices-has-real-and-positive-ei.htmlBuzz Spill Dailyen2026-08-23T11:14:03-04:00The product of two positive definite matrices has real and positive eigenvalues? [duplicate]https://liberty.io/how-to-find-distance-between-two-different-circles.htmlBuzz Spill Dailyen2026-08-23T11:04:00-04:00How to find distance between two different circleshttps://liberty.io/find-the-number-of-roots-of-a-polynomial-using-rouche-039-s-theorem.htmlBuzz Spill Dailyen2026-08-23T11:03:01-04:00Find the number of roots of a polynomial using Rouche&#039;s Theoremhttps://liberty.io/how-to-calculate-log-x-1-2-log-16-1-3-log-8-1.htmlBuzz Spill Dailyen2026-08-23T10:57:56-04:00How to calculate $\log(x) = 1/2\log(16) - 1/3\log(8) + 1$https://liberty.io/how-do-you-work-out-the-angle-in-this-square.htmlBuzz Spill Dailyen2026-08-23T10:55:14-04:00How do you work out the angle in this square?https://liberty.io/interpreting-meaning-of-cauchy-series-not-sequence.htmlBuzz Spill Dailyen2026-08-23T10:49:32-04:00Interpreting meaning of "Cauchy series" (not sequence)https://liberty.io/the-difference-between-a-set-and-a-subset.htmlBuzz Spill Dailyen2026-08-23T10:45:54-04:00The difference between a set and a subset.https://liberty.io/is-there-a-mathematical-notation-for-repeat-x-until-y.htmlBuzz Spill Dailyen2026-08-23T10:45:52-04:00Is there a mathematical notation for "repeat $X$ until $Y$"?https://liberty.io/meaning-of-topology-and-topological-space.htmlBuzz Spill Dailyen2026-08-23T10:39:23-04:00meaning of topology and topological spacehttps://liberty.io/number-of-special-ordered-set.htmlBuzz Spill Dailyen2026-08-23T10:28:29-04:00Number of special ordered sethttps://liberty.io/determine-whether-the-solutions-are-stable-or-unstable.htmlBuzz Spill Dailyen2026-08-23T10:24:55-04:00Determine whether the solutions are stable or unstable.https://liberty.io/calculate-this-triple-integral-in-cylindrical-coordinates-the-result-i.htmlBuzz Spill Dailyen2026-08-23T10:19:17-04:00Calculate this triple integral in cylindrical coordinates, the result is different with triple integral in cartesian coordinateshttps://liberty.io/what-exactly-is-a-scalar-closed.htmlBuzz Spill Dailyen2026-08-23T10:19:09-04:00What exactly is a scalar? [closed]https://liberty.io/notation-for-the-first-element-in-a-set.htmlBuzz Spill Dailyen2026-08-23T10:10:42-04:00Notation for the first element in a sethttps://liberty.io/is-there-some-consensus-on-the-dimensions-of-a-jacobian-matrix-and-of-.htmlBuzz Spill Dailyen2026-08-23T10:07:46-04:00Is there some consensus on the dimensions of a Jacobian matrix and of a gradient?https://liberty.io/dividing-an-obtuse-triangle-into-acute-triangles.htmlBuzz Spill Dailyen2026-08-23T10:00:18-04:00Dividing an obtuse triangle into acute triangleshttps://liberty.io/oblong-or-rectangle-oval-or-ellipse-why-do-we-have-different-names-for.htmlBuzz Spill Dailyen2026-08-23T09:59:22-04:00Oblong or Rectangle? Oval or Ellipse? (Why Do We Have Different Names for the Same Shape?)https://liberty.io/linear-least-squares-with-linear-inequality-constraints.htmlBuzz Spill Dailyen2026-08-23T09:57:27-04:00Linear Least Squares with Linear Inequality Constraintshttps://liberty.io/difference-between-equilibrium-point-and-unique-equilibrium-point.htmlBuzz Spill Dailyen2026-08-23T09:49:52-04:00Difference between equilibrium point and Unique Equilibrium Point?https://liberty.io/density-of-measure.htmlBuzz Spill Dailyen2026-08-23T09:44:24-04:00Density of measurehttps://liberty.io/how-does-summation-index-shifting-work.htmlBuzz Spill Dailyen2026-08-23T09:44:21-04:00How does summation index shifting work?https://liberty.io/arithmetic-overflow-and-underflowing.htmlBuzz Spill Dailyen2026-08-23T09:39:54-04:00Arithmetic Overflow and Underflowinghttps://liberty.io/proof-of-the-asa-triangle-congruence-criterium.htmlBuzz Spill Dailyen2026-08-23T09:30:13-04:00Proof of the ASA triangle congruence criteriumhttps://liberty.io/deriving-the-center-of-mass-of-a-semi-circular-disk-with-cylindrical-c.htmlBuzz Spill Dailyen2026-08-23T09:29:57-04:00Deriving the Center of Mass of a semi-circular disk with cylindrical coordinateshttps://liberty.io/what-is-the-magnitude-of-dot-product-of-two-vectors.htmlBuzz Spill Dailyen2026-08-23T09:26:00-04:00What is the magnitude of dot product of two vectors?https://liberty.io/why-are-homeomorphisms-important.htmlBuzz Spill Dailyen2026-08-23T09:20:09-04:00Why are homeomorphisms important?https://liberty.io/volume-of-a-pyramid-with-equilateral-triangle-as-base.htmlBuzz Spill Dailyen2026-08-23T09:17:58-04:00Volume of a pyramid with equilateral triangle as basehttps://liberty.io/how-to-show-that-the-product-of-two-irrational-numbers-may-be-irration.htmlBuzz Spill Dailyen2026-08-23T09:01:28-04:00How to show that the product of two irrational numbers may be irrational?https://liberty.io/egorov-039-s-theorem-on-intervals.htmlBuzz Spill Dailyen2026-08-23T08:58:39-04:00Egorov&#039;s theorem on intervalshttps://liberty.io/intuition-degeneracy-maps.htmlBuzz Spill Dailyen2026-08-23T08:46:36-04:00Intuition degeneracy mapshttps://liberty.io/why-are-all-circles-similar-why-is-pi-a-constant-duplicate.htmlBuzz Spill Dailyen2026-08-23T08:46:08-04:00Why are all circles similar? (Why is $\pi$ a constant?) [duplicate]https://liberty.io/product-between-a-column-vector-and-a-row-vector.htmlBuzz Spill Dailyen2026-08-23T08:43:03-04:00Product between a column vector and a row vectorhttps://liberty.io/mclaurins-with-e-sin-x.htmlBuzz Spill Dailyen2026-08-23T08:32:45-04:00Mclaurins with $e^{\sin(x)}$https://liberty.io/origin-of-the-dot-and-cross-product.htmlBuzz Spill Dailyen2026-08-23T08:30:49-04:00Origin of the dot and cross product?https://liberty.io/understanding-the-proof-for-the-divergence-of-the-harmonic-series.htmlBuzz Spill Dailyen2026-08-23T08:22:36-04:00Understanding the proof for the divergence of the harmonic serieshttps://liberty.io/prove-sin-pi-2-1-using-taylor-series.htmlBuzz Spill Dailyen2026-08-23T08:20:32-04:00Prove $\sin(\pi/2)=1$ using Taylor serieshttps://liberty.io/why-is-a-linear-combination-of-solutions-also-a-solution.htmlBuzz Spill Dailyen2026-08-23T08:06:51-04:00Why is a linear combination of solutions also a solution?https://liberty.io/3d-coordinate-rotation-using-roll-pitch-yaw.htmlBuzz Spill Dailyen2026-08-23T08:02:31-04:003D Coordinate Rotation Using Roll-Pitch-Yawhttps://liberty.io/area-of-octagon-constructed-in-a-square.htmlBuzz Spill Dailyen2026-08-23T07:57:10-04:00Area of octagon constructed in a squarehttps://liberty.io/must-a-complete-subgraph-be-induced.htmlBuzz Spill Dailyen2026-08-23T07:49:50-04:00Must a complete subgraph be induced?https://liberty.io/arc-length-using-integration.htmlBuzz Spill Dailyen2026-08-23T07:42:25-04:00Arc length using Integrationhttps://liberty.io/express-18x-2-12x-48-in-mathbb-q-x-as-the-product-of-a-constant-polyno.htmlBuzz Spill Dailyen2026-08-23T07:41:32-04:00Express $18X^2-12X+48$ in $\mathbb{Q}[X]$ as the product of a constant polynomial and a primitive polynomialhttps://liberty.io/given-a-matrix-b-what-is-det-b-4.htmlBuzz Spill Dailyen2026-08-23T07:25:17-04:00Given a matrix $B$, what is $det(B^4)$?https://liberty.io/finding-the-solution-set-for-a-quadratic-inequality-x-2-2-frac-7-2-x.htmlBuzz Spill Dailyen2026-08-23T07:15:22-04:00Finding the solution set for a quadratic inequality $x^2-2<\frac{7}{2}x$https://liberty.io/find-the-differential-equation-of-all-circles-of-radius-a-closed.htmlBuzz Spill Dailyen2026-08-23T07:15:14-04:00Find the differential equation of all circles of radius a [closed]https://liberty.io/fourier-cosine-expansion-of-sin-x.htmlBuzz Spill Dailyen2026-08-23T07:05:24-04:00Fourier Cosine expansion of $\sin x$https://liberty.io/a-cardinality-of-a-graph.htmlBuzz Spill Dailyen2026-08-23T07:01:08-04:00A cardinality of a graphhttps://liberty.io/why-do-4-digit-binary-numbers-have-16-solutions-and-3-digits-8-closed.htmlBuzz Spill Dailyen2026-08-23T06:51:25-04:00Why do 4 digit binary numbers have 16 solutions, and 3 digits 8? [closed]https://liberty.io/how-do-computers-draw-function-graphs.htmlBuzz Spill Dailyen2026-08-23T06:48:41-04:00How do computers draw function graphs?https://liberty.io/does-liouville-039-s-theorem-work-in-real-analysis.htmlBuzz Spill Dailyen2026-08-23T06:40:50-04:00Does Liouville&#039;s Theorem work in real analysis? https://liberty.io/linearity-of-determinant.htmlBuzz Spill Dailyen2026-08-23T06:35:15-04:00linearity of determinanthttps://liberty.io/what-is-symmetric-about-set-symmetric-difference.htmlBuzz Spill Dailyen2026-08-23T06:33:52-04:00What is symmetric about set symmetric difference?https://liberty.io/how-to-express-the-given-disk-d-in-polar-coordinates.htmlBuzz Spill Dailyen2026-08-23T06:15:49-04:00How to express the given disk $D$ in polar coordinates.https://liberty.io/on-integration-when-solving-differential-equations-specifically-separa.htmlBuzz Spill Dailyen2026-08-23T06:05:20-04:00On integration when solving differential equations (specifically separable equations)https://liberty.io/height-of-an-isosceles-trapezoid.htmlBuzz Spill Dailyen2026-08-23T06:05:04-04:00Height of an isosceles trapezoidhttps://liberty.io/learning-mathematics-using-only-audio.htmlBuzz Spill Dailyen2026-08-23T05:59:05-04:00Learning Mathematics using only audio.https://liberty.io/surface-integral-over-graph-of-a-function.htmlBuzz Spill Dailyen2026-08-23T05:57:12-04:00Surface integral over graph of a functionhttps://liberty.io/help-solving-2-second-order-differential-equation.htmlBuzz Spill Dailyen2026-08-23T05:56:42-04:00Help solving 2 second order differential equationhttps://liberty.io/convert-expression-to-nand-only.htmlBuzz Spill Dailyen2026-08-23T05:48:23-04:00Convert expression to NAND onlyhttps://liberty.io/if-sin-theta-cos-theta-tan-theta-cot-theta-sec-theta-csc-theta-7-then-.htmlBuzz Spill Dailyen2026-08-23T05:41:04-04:00If $\sin \theta+\cos\theta+\tan\theta+\cot\theta+\sec\theta+\csc\theta=7$, then $\sin 2\theta$ is a root of $x^2 -44x +36=0$ My own bonafide attempt. [duplicate]https://liberty.io/which-of-the-following-statements-are-true-about-finite-cyclic-groups.htmlBuzz Spill Dailyen2026-08-23T05:34:00-04:00Which of the following statements are true about finite cyclic groups?