https://liberty.io/what-is-and-how-can-i-find-an-orthogonal-component.htmlBuzz Spill Dailyen2026-08-20T07:08:58-04:00What is and how can I find an orthogonal component?https://liberty.io/confused-about-effective-rate-of-discount-theory-of-interest.htmlBuzz Spill Dailyen2026-08-20T07:08:24-04:00Confused about Effective Rate of Discount- Theory of Interesthttps://liberty.io/why-is-the-square-root-of-a-number-not-plus-or-minus-duplicate.htmlBuzz Spill Dailyen2026-08-20T07:04:38-04:00Why is the square root of a number not plus or minus? [duplicate]https://liberty.io/quadrilateral-inscribed-angles-calculation-with-one-arc-angle.htmlBuzz Spill Dailyen2026-08-20T07:03:13-04:00Quadrilateral Inscribed angles calculation with one arc anglehttps://liberty.io/x-3-3x-3-0-prove-that-10-x-127.htmlBuzz Spill Dailyen2026-08-20T06:54:45-04:00$x^3-3x-3=0$, prove that $10^x<127$https://liberty.io/find-an-exponential-equation-that-passes-through-the-points-2-2-25-and.htmlBuzz Spill Dailyen2026-08-20T06:51:18-04:00Find an exponential equation that passes through the points $(2, 2.25)$ and $(5,60.75)$https://liberty.io/what-039-s-the-difference-between-f-cdot-g-and-f-g-x.htmlBuzz Spill Dailyen2026-08-20T06:37:33-04:00What&#039;s the difference between $f \cdot g$ and $f(g(x))$?https://liberty.io/how-to-check-if-these-vectors-are-normal-or-orthogonal.htmlBuzz Spill Dailyen2026-08-20T06:33:50-04:00How to check if these vectors are normal or orthogonal?https://liberty.io/quaternions-why-does-ijk-1-and-ij-k-and-ji-k.htmlBuzz Spill Dailyen2026-08-20T06:32:41-04:00Quaternions: why does ijk = -1 and ij=k and -ji=khttps://liberty.io/notation-for-rounding-function.htmlBuzz Spill Dailyen2026-08-20T06:15:06-04:00Notation for rounding functionhttps://liberty.io/what-is-the-difference-between-a-polynomial-and-a-function-or-can-they.htmlBuzz Spill Dailyen2026-08-20T06:06:52-04:00What is the difference between a polynomial and a function or can they be used interchangebly?https://liberty.io/christoffel-symbols-for-spherical-polar-coordinates.htmlBuzz Spill Dailyen2026-08-20T05:46:54-04:00Christoffel Symbols for Spherical Polar Coordinateshttps://liberty.io/pythagoras-theorem-proof.htmlBuzz Spill Dailyen2026-08-20T05:44:09-04:00Pythagoras Theorem Proofhttps://liberty.io/how-to-compute-homography-matrix-h-from-corresponding-points-2d-2d-pla.htmlBuzz Spill Dailyen2026-08-20T05:41:59-04:00How to compute homography matrix H from corresponding points (2d-2d planar Homography)https://liberty.io/how-is-prisoner-039-s-dilemma-different-from-chicken.htmlBuzz Spill Dailyen2026-08-20T05:38:03-04:00How is prisoner&#039;s dilemma different from chicken?https://liberty.io/homogeneous-polynomial-in-k-x-y-z-can-factor-into-linear-polynomials.htmlBuzz Spill Dailyen2026-08-20T05:36:59-04:00Homogeneous polynomial in $k[X,Y,Z]$ can factor into linear polynomials?https://liberty.io/showing-a-sequence-is-convergent-using-the-epsilon-n-definition.htmlBuzz Spill Dailyen2026-08-20T05:35:15-04:00Showing a sequence is convergent using the $\epsilon$-$N$ definitionhttps://liberty.io/two-rectangles-the-1-st-has-twice-the-perimeter-of-the-2-nd-and-the-2-.htmlBuzz Spill Dailyen2026-08-20T05:33:05-04:00Two rectangles: The $1$st has twice the perimeter of the $2$nd and the $2$nd has twice the area of the $1$st.https://liberty.io/how-many-barcodes-are-there.htmlBuzz Spill Dailyen2026-08-20T05:28:15-04:00How many barcodes are there?https://liberty.io/what-039-s-the-formula-to-work-out-number-of-fixtures-for-any-number-o.htmlBuzz Spill Dailyen2026-08-20T05:24:18-04:00What&#039;s the formula to work out number of fixtures for any number of teams?https://liberty.io/number-of-line-segments-to-approximate-a-circle.htmlBuzz Spill Dailyen2026-08-20T05:12:42-04:00Number of line segments to approximate a circlehttps://liberty.io/how-do-i-show-that-the-set-of-natural-number-n-has-the-same-size-as-nx.htmlBuzz Spill Dailyen2026-08-20T05:02:03-04:00How do I show that the set of natural number N has the same size as NxN? [duplicate]https://liberty.io/how-to-prove-that-the-midpoint-of-the-given-line-segment-lies-on-anoth.htmlBuzz Spill Dailyen2026-08-20T05:01:27-04:00How to prove that the midpoint of the given line segment lies on another line segment?https://liberty.io/how-to-solve-equations-like-8-2n-1-32-n-1.htmlBuzz Spill Dailyen2026-08-20T04:55:32-04:00How to solve equations like $8^{2n+1} = 32^{n+1}$https://liberty.io/sum-of-the-alternating-harmonic-series-sum-k-1-infty-frac-1-k-1-k-frac.htmlBuzz Spill Dailyen2026-08-20T04:55:01-04:00Sum of the alternating harmonic series $\sum_{k=1}^{\infty}\frac{(-1)^{k+1}}{k} = \frac{1}{1} - \frac{1}{2} + \cdots $https://liberty.io/how-to-prove-whether-a-polynomial-function-is-even-or-odd.htmlBuzz Spill Dailyen2026-08-20T04:36:17-04:00How to prove whether a polynomial function is even or oddhttps://liberty.io/i-think-i-can-complete-the-square-of-any-quadratic-is-it-true-any-reas.htmlBuzz Spill Dailyen2026-08-20T04:34:52-04:00I think I can complete the square of any quadratic, is it true? (Any reason to ever use Quad. Formula?)https://liberty.io/failed-calc-2-it-039-s-the-algebra-stupid-closed.htmlBuzz Spill Dailyen2026-08-20T04:31:01-04:00Failed Calc 2. It&#039;s the Algebra, stupid [closed]https://liberty.io/calculate-the-derivative-of-sin5x-using-limits.htmlBuzz Spill Dailyen2026-08-20T04:19:34-04:00Calculate the derivative of sin5x using limitshttps://liberty.io/finding-the-sum-of-the-infinite-series.htmlBuzz Spill Dailyen2026-08-20T04:13:39-04:00Finding the sum of the infinite serieshttps://liberty.io/what-does-conserved-mean-in-mathematics.htmlBuzz Spill Dailyen2026-08-20T04:03:47-04:00What does "conserved" mean in mathematics?https://liberty.io/finding-vector-equation-of-a-plane-from-its-cartesian-equation.htmlBuzz Spill Dailyen2026-08-20T04:01:40-04:00Finding vector equation of a plane from its Cartesian equationhttps://liberty.io/how-to-calculate-the-volume-of-tetrahedron-given-by-4-points.htmlBuzz Spill Dailyen2026-08-20T03:59:20-04:00How to calculate the volume of tetrahedron given by 4 pointshttps://liberty.io/can-an-indefinite-integral-be-expressed-as-a-definite-integral-with-va.htmlBuzz Spill Dailyen2026-08-20T03:43:53-04:00Can an indefinite integral be expressed as a definite integral with variable bounds?https://liberty.io/is-the-sum-of-two-exponential-function-can-be-equivalent-to-a-third-ex.htmlBuzz Spill Dailyen2026-08-20T03:42:13-04:00Is the sum of two exponential function can be equivalent to a third exponential function? [closed]https://liberty.io/why-can-039-t-the-polynomial-ring-be-a-field.htmlBuzz Spill Dailyen2026-08-20T03:39:49-04:00Why can&#039;t the Polynomial Ring be a Field?https://liberty.io/strongly-connected-graph-equivalent-formulation.htmlBuzz Spill Dailyen2026-08-20T03:34:41-04:00Strongly connected graph: equivalent formulationhttps://liberty.io/equation-for-a-plane-perpendicular-to-a-line-through-two-given-points-.htmlBuzz Spill Dailyen2026-08-20T03:30:30-04:00Equation for a plane perpendicular to a line through two given points [duplicate]https://liberty.io/how-can-i-find-which-function-corresponds-to-a-set-of-data-points.htmlBuzz Spill Dailyen2026-08-20T03:28:12-04:00How can I find which function corresponds to a set of data points?https://liberty.io/eigenvalues-of-second-order-ordinary-differential-equation.htmlBuzz Spill Dailyen2026-08-20T03:19:57-04:00Eigenvalues of second order ordinary differential equationhttps://liberty.io/what-is-the-difference-between-correlated-equilibrium-and-mixed-equili.htmlBuzz Spill Dailyen2026-08-20T03:11:53-04:00What is the difference between correlated equilibrium and mixed equilibrium?https://liberty.io/how-to-find-the-objective-function-of-the-dual-problem.htmlBuzz Spill Dailyen2026-08-20T03:06:05-04:00How to find the objective function of the dual problemhttps://liberty.io/notation-for-combinations-and-permutations.htmlBuzz Spill Dailyen2026-08-20T02:40:45-04:00Notation for combinations and permutations?https://liberty.io/inverse-of-sets.htmlBuzz Spill Dailyen2026-08-20T02:33:54-04:00Inverse of setshttps://liberty.io/implicit-solution-to-a-differential-equation.htmlBuzz Spill Dailyen2026-08-20T02:31:53-04:00Implicit Solution to a differential equationhttps://liberty.io/volume-of-parabolic-cylinder-bound-by-plane.htmlBuzz Spill Dailyen2026-08-20T02:28:32-04:00Volume of parabolic cylinder bound by planehttps://liberty.io/unit-impulse-step-response-of-a-1st-order-differential-equation.htmlBuzz Spill Dailyen2026-08-20T02:24:51-04:00Unit impulse / step response of a 1st order differential equationhttps://liberty.io/creating-a-rotating-partner-round-robin-schedule.htmlBuzz Spill Dailyen2026-08-20T02:22:44-04:00Creating a Rotating Partner, Round Robin Schedulehttps://liberty.io/automorphism-and-inner-automorphism-of-d-4.htmlBuzz Spill Dailyen2026-08-20T01:54:55-04:00Automorphism and Inner automorphism of $D_4$https://liberty.io/notation-what-does-this-summation-mean.htmlBuzz Spill Dailyen2026-08-20T01:53:28-04:00Notation: What does this summation mean?https://liberty.io/what-is-a-level-set.htmlBuzz Spill Dailyen2026-08-20T01:32:43-04:00What is a level set?https://liberty.io/online-video-course-on-topology.htmlBuzz Spill Dailyen2026-08-20T01:19:52-04:00Online Video Course on Topologyhttps://liberty.io/d-dx-notation-explanation-please.htmlBuzz Spill Dailyen2026-08-20T01:18:29-04:00d/dx Notation Explanation please?https://liberty.io/a-slightly-problematic-integral-int-1-x-4-1-1-4-mathrm-d-x.htmlBuzz Spill Dailyen2026-08-20T01:14:11-04:00A slightly problematic integral $\int{1/(x^4+1)^{1/4}} \, \mathrm{d}x$https://liberty.io/heron-039-s-formula.htmlBuzz Spill Dailyen2026-08-20T01:14:00-04:00Heron&#039;s Formulahttps://liberty.io/how-do-i-solve-y-039-039-4y-0.htmlBuzz Spill Dailyen2026-08-20T01:11:51-04:00How do I solve $y&#039;&#039;+4y=0$?https://liberty.io/probability-of-a-given-neg-b.htmlBuzz Spill Dailyen2026-08-20T01:06:29-04:00Probability of $A$ given $\neg B \:?$https://liberty.io/n-th-derivative-of-e-1-x.htmlBuzz Spill Dailyen2026-08-20T01:05:25-04:00$n$th derivative of $e^{1/x}$https://liberty.io/determinant-of-matrix-exponential.htmlBuzz Spill Dailyen2026-08-20T01:02:53-04:00Determinant of matrix exponential?https://liberty.io/is-littlewood-039-s-law-true.htmlBuzz Spill Dailyen2026-08-20T01:00:29-04:00Is Littlewood&#039;s law true?https://liberty.io/finding-the-area-of-a-15-75-90-triangle-with-the-length-of-the-hypoten.htmlBuzz Spill Dailyen2026-08-20T00:58:39-04:00Finding the area of a $15-75-90$ triangle with the length of the hypotenuse included without using trigonometric functions.https://liberty.io/how-do-i-calculate-the-indefinite-integral-with-a-square-root.htmlBuzz Spill Dailyen2026-08-20T00:53:09-04:00How do I calculate the indefinite integral with a square root?https://liberty.io/calculating-inverse-tangent.htmlBuzz Spill Dailyen2026-08-20T00:40:57-04:00Calculating Inverse Tangenthttps://liberty.io/what-is-the-significance-of-convergence-divergence-of-series.htmlBuzz Spill Dailyen2026-08-20T00:37:40-04:00What is the significance of Convergence/Divergence of Serieshttps://liberty.io/choosing-4-men-from-6-and-4-women-from-7-with-a-restriction.htmlBuzz Spill Dailyen2026-08-20T00:37:25-04:00Choosing 4 men from 6, and 4 women from 7, with a restriction.https://liberty.io/logic-symbol-forall-before-or-after-statement.htmlBuzz Spill Dailyen2026-08-20T00:16:52-04:00Logic symbol $\forall$ before or after statement?https://liberty.io/epsilon-delta-proof-of-a-quadratic-limit.htmlBuzz Spill Dailyen2026-08-19T23:58:27-04:00Epsilon-Delta proof of a quadratic limithttps://liberty.io/what-is-the-actual-curvature-of-earth-either-per-kilometer-km-of-sea-l.htmlBuzz Spill Dailyen2026-08-19T23:57:26-04:00what is the actual curvature of earth, either per kilometer (km of sea-level distance, round, not straight line), either calculatedhttps://liberty.io/theorem-of-existence-and-uniqueness-for-first-order-linear-differentia.htmlBuzz Spill Dailyen2026-08-19T23:45:46-04:00theorem of existence and uniqueness for first order linear differential equationhttps://liberty.io/conditions-for-taking-a-limit-into-an-infinite-sum.htmlBuzz Spill Dailyen2026-08-19T23:30:51-04:00Conditions for taking a limit into an infinite sumhttps://liberty.io/full-and-reduced-svd-of-a-3x3-matrix.htmlBuzz Spill Dailyen2026-08-19T23:29:52-04:00Full and reduced SVD of a 3x3 matrix.https://liberty.io/what-would-base-1-be.htmlBuzz Spill Dailyen2026-08-19T23:29:18-04:00What would base $1$ be?https://liberty.io/dot-product-of-a-vector-and-del-operator.htmlBuzz Spill Dailyen2026-08-19T23:25:29-04:00Dot product of a vector and del operatorhttps://liberty.io/find-the-interpolating-polynomial-of-degree-3-that-interpolates-f-x-x-.htmlBuzz Spill Dailyen2026-08-19T23:12:55-04:00Find the interpolating polynomial of degree $3$ that interpolates $f(x) = x^3$https://liberty.io/intuition-of-euclidean-norm.htmlBuzz Spill Dailyen2026-08-19T23:03:23-04:00Intuition of Euclidean normhttps://liberty.io/can-you-give-me-a-specific-representation-of-q-weyl-algebra.htmlBuzz Spill Dailyen2026-08-19T22:56:48-04:00Can you give me a specific representation of q-Weyl algebrahttps://liberty.io/setting-up-an-english-pool-table.htmlBuzz Spill Dailyen2026-08-19T22:48:44-04:00Setting up an English pool tablehttps://liberty.io/what-is-the-inverse-function-of-cot-x.htmlBuzz Spill Dailyen2026-08-19T22:39:02-04:00What is the inverse function of $\cot(x)$https://liberty.io/why-does-a-times-its-inverse-equal-to-the-identity-matrix-duplicate.htmlBuzz Spill Dailyen2026-08-19T22:36:28-04:00Why does $A$ times its inverse equal to the identity matrix? [duplicate]https://liberty.io/even-numbers-have-more-factors-than-odd-numbers.htmlBuzz Spill Dailyen2026-08-19T22:32:12-04:00Even numbers have more factors than odd numbers...https://liberty.io/finding-the-real-potential-and-streamfunction-from-a-complex-potential.htmlBuzz Spill Dailyen2026-08-19T22:31:07-04:00Finding the real potential and streamfunction from a complex potentialhttps://liberty.io/what-are-the-classic-or-great-books-for-algebra-geometry-and-trigonome.htmlBuzz Spill Dailyen2026-08-19T22:29:44-04:00What are the classic or great books for Algebra, Geometry, and Trigonometry that are similar to what Spivak, Courant, and Apostol are for Calculus?https://liberty.io/why-the-derivative-is-the-rate-of-change-of-the-function.htmlBuzz Spill Dailyen2026-08-19T22:24:56-04:00Why the derivative is the rate of change of the function?https://liberty.io/about-the-definition-of-local-fields.htmlBuzz Spill Dailyen2026-08-19T22:23:24-04:00About the definition of local fieldshttps://liberty.io/trying-to-understand-discontinuities-and-domains.htmlBuzz Spill Dailyen2026-08-19T22:22:15-04:00Trying to understand discontinuities and domainshttps://liberty.io/stars-and-bars-everyone-gets-at-least-one.htmlBuzz Spill Dailyen2026-08-19T22:10:38-04:00Stars and Bars: everyone gets at least onehttps://liberty.io/what-symbol-expresses-less-than-approximately.htmlBuzz Spill Dailyen2026-08-19T21:58:16-04:00What symbol expresses “less than approximately”?https://liberty.io/rounding-up-to-two-decimal-points.htmlBuzz Spill Dailyen2026-08-19T21:53:47-04:00rounding up to two decimal pointshttps://liberty.io/solving-a-neumann-problem-in-a-disk.htmlBuzz Spill Dailyen2026-08-19T21:49:38-04:00Solving a Neumann problem in a diskhttps://liberty.io/let-x-n-and-y-n-be-given-sequences-and-define-z-n-to-be-the-shuffled-s.htmlBuzz Spill Dailyen2026-08-19T21:42:53-04:00Let $(x_n)$ and $(y_n)$ be given sequences and define $(z_n)$ to be the "shuffled" sequence...https://liberty.io/2-log-2-3-cdot-log-3-2-without-using-a-calculator.htmlBuzz Spill Dailyen2026-08-19T21:33:41-04:00$2\log_2 3 \cdot\log_3 2$ without using a calculatorhttps://liberty.io/derivation-of-formula-for-finding-median-for-grouped-data.htmlBuzz Spill Dailyen2026-08-19T21:31:48-04:00Derivation of formula for finding median for grouped datahttps://liberty.io/volumes-of-n-balls-what-is-so-special-about-n-5.htmlBuzz Spill Dailyen2026-08-19T21:15:00-04:00Volumes of n-balls: what is so special about n=5?https://liberty.io/period-of-sin-x-cos-x.htmlBuzz Spill Dailyen2026-08-19T21:14:44-04:00Period of $\sin(x) + \cos(x)$https://liberty.io/difference-between-rolle-039-s-theorem-and-mean-value-theorem.htmlBuzz Spill Dailyen2026-08-19T21:13:19-04:00Difference between Rolle&#039;s theorem and Mean value theoremhttps://liberty.io/ball-thrown-straight-up-modern-elementary-differential-equations.htmlBuzz Spill Dailyen2026-08-19T21:10:30-04:00Ball Thrown Straight Up (Modern Elementary Differential Equations)https://liberty.io/solve-a-pde-with-feynman-kac-formula.htmlBuzz Spill Dailyen2026-08-19T21:01:54-04:00Solve a PDE with Feynman-Kac Formulahttps://liberty.io/how-many-ways-to-make-scalene-triangles-in-a-nonagon.htmlBuzz Spill Dailyen2026-08-19T20:58:31-04:00How many ways to make scalene triangles in a nonagon?https://liberty.io/proof-question-let-v-be-a-finite-dimensional-vector-space-and-let-t-v-.htmlBuzz Spill Dailyen2026-08-19T20:55:57-04:00proof question: Let V be a finite-dimensional vector space, and let $T:V \rightarrow V$ be linear.https://liberty.io/solve-z-5-32-include-complex-solutions.htmlBuzz Spill Dailyen2026-08-19T20:51:53-04:00Solve $z^5 = 32$ (include complex solutions)