https://liberty.io/how-to-find-the-length-of-the-line-segment-of-this-following-triangle.htmlBuzz Spill Dailyen2026-08-29T13:18:28-04:00How to find the length of the line segment of this following triangle?https://liberty.io/example-of-a-quantifier-elimination-procedure-for-a-simple-but-nontriv.htmlBuzz Spill Dailyen2026-08-29T13:09:33-04:00Example of a quantifier elimination procedure for a simple-but-nontrivial theoryhttps://liberty.io/spherical-triangle-given-two-angles-and-one-length-find-another-length.htmlBuzz Spill Dailyen2026-08-29T13:09:01-04:00Spherical triangle: given two angles and one length find another lengthhttps://liberty.io/ratios-make-me-feel-like-an-idiot-help-me-mix-up-some-coca-cola.htmlBuzz Spill Dailyen2026-08-29T13:04:07-04:00Ratios make me feel like an idiot - help me mix up some Coca-Colahttps://liberty.io/what-is-wrong-with-this-solution-of-2x-ln-2-3y-ln-3.htmlBuzz Spill Dailyen2026-08-29T12:56:41-04:00What is wrong with this solution of $ (2x)^{\ln 2} = (3y)^{\ln 3}$https://liberty.io/proof-of-the-associative-law-and-the-commutative-law.htmlBuzz Spill Dailyen2026-08-29T12:40:53-04:00Proof of The Associative Law and The Commutative Law.https://liberty.io/if-ax-2-bx-7-15-x-2-cx-14-for-all-values-of-x-and-a-b-8-what-are-the-t.htmlBuzz Spill Dailyen2026-08-29T12:25:09-04:00If $( ax+ 2)( bx+ 7) = 15 x^2 + cx + 14$ for all values of $x$, and $a + b =8$, what are the two possible values for $c$? [closed]https://liberty.io/maclaurin-series-from-sin-x-to-cos-x-using-derivative.htmlBuzz Spill Dailyen2026-08-29T12:22:48-04:00Maclaurin Series from sin(x) to cos(x) using derivativehttps://liberty.io/is-1e-005-1e-5.htmlBuzz Spill Dailyen2026-08-29T12:13:39-04:00Is $1e-005 = 1e-5$?https://liberty.io/how-to-solve-x-log-x-10-6.htmlBuzz Spill Dailyen2026-08-29T12:04:14-04:00How to solve $x\log(x) = 10^6$https://liberty.io/is-there-a-difference-between-theorem-proof-and-theorem-demonstration.htmlBuzz Spill Dailyen2026-08-29T12:01:57-04:00Is there a difference between theorem proof and theorem demonstration?https://liberty.io/why-is-cos135-circ-negative-when-length-is-always-positive.htmlBuzz Spill Dailyen2026-08-29T11:59:11-04:00Why is $\cos135^{\circ}$ negative when length is always positive?https://liberty.io/what-is-a-symbolic-expression-to-calculate-height-of-a-triangle-from-t.htmlBuzz Spill Dailyen2026-08-29T11:44:54-04:00What is a symbolic expression to calculate height of a triangle from two angles and a side?https://liberty.io/evaluate-the-limit-of-f-2-h-f-2-h-as-h-approaches-0-for-f-x-sin-x.htmlBuzz Spill Dailyen2026-08-29T11:36:22-04:00Evaluate the limit of $(f(2+h)-f(2))/h$ as $h$ approaches $0$ for $f(x) = \sin(x)$.https://liberty.io/decompose-a-vector-in-a-part-parallel-to-a-plane-and-other-to-a-line.htmlBuzz Spill Dailyen2026-08-29T11:33:28-04:00Decompose a vector in a part parallel to a plane and other to a linehttps://liberty.io/in-a-triangle-does-an-angle-bisector-necessarily-bisect-the-opposite-s.htmlBuzz Spill Dailyen2026-08-29T11:25:31-04:00In a triangle, does an angle bisector necessarily bisect the opposite side? [closed]https://liberty.io/precalculus-angular-velocity-and-linear-velocity-closed.htmlBuzz Spill Dailyen2026-08-29T11:20:38-04:00Precalculus angular velocity and linear velocity [closed]https://liberty.io/find-the-inflection-points-in-the-graph.htmlBuzz Spill Dailyen2026-08-29T11:17:01-04:00Find the inflection points in the graphhttps://liberty.io/expectation-of-an-exponential-function.htmlBuzz Spill Dailyen2026-08-29T11:12:54-04:00Expectation of an exponential functionhttps://liberty.io/properties-of-the-number-137.htmlBuzz Spill Dailyen2026-08-29T11:04:36-04:00Properties of The Number 137https://liberty.io/do-asymptotes-disprove-0-9-repeating-equal-1.htmlBuzz Spill Dailyen2026-08-29T11:02:34-04:00Do asymptotes disprove 0.9 repeating equal 1?https://liberty.io/probability-of-p-a-b-given-p-a-p-b.htmlBuzz Spill Dailyen2026-08-29T10:55:54-04:00Probability of P(A|B) given P(A), P(B)https://liberty.io/families-of-square-roots-of-identity-matrices.htmlBuzz Spill Dailyen2026-08-29T10:49:12-04:00Families of Square Roots of Identity Matriceshttps://liberty.io/find-o-b-if-aba-1-b-2-and-given-that-a-5-e.htmlBuzz Spill Dailyen2026-08-29T10:42:43-04:00Find $o(b)$ if $aba^{-1}=b^2$ and given that $a^5=e$https://liberty.io/laplace-transform-of-f-t-t-closed.htmlBuzz Spill Dailyen2026-08-29T10:36:05-04:00Laplace transform of $f(t)/t$ [closed]https://liberty.io/real-life-usage-of-benford-039-s-law.htmlBuzz Spill Dailyen2026-08-29T10:33:47-04:00Real life usage of Benford's Lawhttps://liberty.io/is-sin-x-sin-x-1.htmlBuzz Spill Dailyen2026-08-29T10:33:26-04:00is sin(x) / sin(x) = 1?https://liberty.io/how-do-you-find-the-range-of-a-given-function-is-there-a-process-to-fo.htmlBuzz Spill Dailyen2026-08-29T10:30:15-04:00How do you find the range of a given function? Is there a process to follow?https://liberty.io/simple-sum-of-finite-exponential-series.htmlBuzz Spill Dailyen2026-08-29T10:25:40-04:00Simple sum of finite exponential serieshttps://liberty.io/find-area-of-a-seven-point-star-inscribed-in-a-circle-of-radius-1-clos.htmlBuzz Spill Dailyen2026-08-29T10:20:11-04:00Find area of a seven-point star inscribed in a circle of radius 1 [closed]https://liberty.io/constrained-parameters-in-least-square-curve-fitting.htmlBuzz Spill Dailyen2026-08-29T10:14:12-04:00Constrained parameters in least square curve fittinghttps://liberty.io/what-is-the-closest-fraction-that-isn-039-t-something-like-31415-1000-.htmlBuzz Spill Dailyen2026-08-29T10:13:15-04:00What is the closest fraction (that isn't something like 31415.../1000...) that gets you pretty close to pi? [closed]https://liberty.io/linear-transformation-of-normal-distribution.htmlBuzz Spill Dailyen2026-08-29T10:08:39-04:00Linear transformation of normal distributionhttps://liberty.io/approximations-involving-exponential-functions.htmlBuzz Spill Dailyen2026-08-29T10:04:21-04:00Approximations Involving Exponential Functionshttps://liberty.io/why-only-compass-and-straightedge.htmlBuzz Spill Dailyen2026-08-29T10:03:22-04:00Why only compass and straightedge?https://liberty.io/a-prize-of-27-000-is-to-be-divided-among-three-people-in-the-ratio-3-5.htmlBuzz Spill Dailyen2026-08-29T10:01:15-04:00A prize of $27,000 is to be divided among three people in the ratio 3:5:7. What is the largest share?https://liberty.io/domain-of-parametric-equation.htmlBuzz Spill Dailyen2026-08-29T09:58:24-04:00Domain of parametric equationhttps://liberty.io/to-what-extent-is-pi-non-repeating-closed.htmlBuzz Spill Dailyen2026-08-29T09:57:01-04:00To what extent is pi non-repeating? [closed]https://liberty.io/do-all-graphs-have-interval-representations.htmlBuzz Spill Dailyen2026-08-29T09:54:00-04:00Do all graphs have interval representations?https://liberty.io/how-many-different-sums-of-the-dots-can-one-obtain-if-three-ordinary-d.htmlBuzz Spill Dailyen2026-08-29T09:52:30-04:00How many different sums of the dots can one obtain if three ordinary dice are thrown at the same time?https://liberty.io/does-lim-frac-xy-x-y-exist-at-0-0.htmlBuzz Spill Dailyen2026-08-29T09:48:36-04:00Does $\lim \frac{xy}{x+y}$ exist at $(0,0)$?https://liberty.io/conditional-probability-mass-function-independent-binomial-what-is-the.htmlBuzz Spill Dailyen2026-08-29T09:44:54-04:00Conditional probability mass function independent binomial What is the conditional probability mass function of $X$ given that $X+Y =s$https://liberty.io/how-does-dv-2-pi-r-2t-sin-theta-d-theta-come.htmlBuzz Spill Dailyen2026-08-29T09:43:44-04:00How does $dV=2\pi R^2t \sin \theta\, d\theta$ come?https://liberty.io/simplification-of-terms-2-1-ln2.htmlBuzz Spill Dailyen2026-08-29T09:38:45-04:00Simplification of Terms $ 2^{(1/\ln2)}$https://liberty.io/how-do-unitary-matrices-preserve-the-magnitude-of-unit-vectors.htmlBuzz Spill Dailyen2026-08-29T09:36:50-04:00How do unitary matrices preserve the magnitude of unit vectors?https://liberty.io/finding-an-average-value-of-a-function.htmlBuzz Spill Dailyen2026-08-29T09:33:41-04:00Finding an average value of a functionhttps://liberty.io/how-to-write-special-set-notation-by-hand.htmlBuzz Spill Dailyen2026-08-29T09:24:06-04:00How to write special set notation by hand?https://liberty.io/how-many-perfect-shuffles-are-needed-to-go-back-to-initial-state.htmlBuzz Spill Dailyen2026-08-29T09:19:49-04:00How many perfect shuffles are needed to go back to initial state?https://liberty.io/value-of-shape-operator-in-direction-where-the-curvature-is-zero.htmlBuzz Spill Dailyen2026-08-29T09:05:59-04:00Value of shape operator in direction where the curvature is zerohttps://liberty.io/the-definition-of-negation.htmlBuzz Spill Dailyen2026-08-29T09:00:54-04:00The definition of negationhttps://liberty.io/find-the-slope-of-the-secant-line-with-two-points.htmlBuzz Spill Dailyen2026-08-29T08:59:29-04:00Find the slope of the secant line with two pointshttps://liberty.io/how-to-compute-the-nth-number-of-a-general-fibonacci-sequence-with-mat.htmlBuzz Spill Dailyen2026-08-29T08:48:21-04:00How to compute the nth number of a general Fibonacci sequence with matrix multiplication?https://liberty.io/factorial-of-7-2-duplicate.htmlBuzz Spill Dailyen2026-08-29T08:41:44-04:00Factorial of $(7/2)!$ [duplicate]https://liberty.io/sum-of-consecutive-odd-numbers.htmlBuzz Spill Dailyen2026-08-29T08:37:14-04:00Sum of consecutive odd numbershttps://liberty.io/how-to-re-write-completing-the-square-x-2-x-1.htmlBuzz Spill Dailyen2026-08-29T08:20:18-04:00How to "Re-write completing the square": $x^2+x+1$https://liberty.io/what-039-s-the-definition-of-coherent-topology-in-munkres-topology.htmlBuzz Spill Dailyen2026-08-29T08:15:32-04:00What's the definition of coherent topology in Munkres Topology?https://liberty.io/what-is-the-area-of-the-shaded-region-in-this-rectangle.htmlBuzz Spill Dailyen2026-08-29T07:59:55-04:00What is the area of the shaded region in this rectangle?https://liberty.io/prove-sin-x-tan-x-x-2-for-x-in-0-frac-pi-2.htmlBuzz Spill Dailyen2026-08-29T07:59:47-04:00Prove $\sin(x)\tan(x) > x^2$ for $x \in ( \,0, \frac{\pi}{2}) \,$https://liberty.io/percent-or-percentage-point-when-rounding.htmlBuzz Spill Dailyen2026-08-29T07:58:11-04:00"Percent" or "percentage point" when rounding?https://liberty.io/decomposition-of-polynomial-into-irreducible-polynomials.htmlBuzz Spill Dailyen2026-08-29T07:55:46-04:00Decomposition of polynomial into irreducible polynomialshttps://liberty.io/transforming-a-single-gaussian-into-a-mixture-of-gaussians.htmlBuzz Spill Dailyen2026-08-29T07:49:56-04:00Transforming a single Gaussian into a mixture of Gaussianshttps://liberty.io/square-root-of-a-sum-bound.htmlBuzz Spill Dailyen2026-08-29T07:33:21-04:00square root of a sum? Bound?https://liberty.io/homogeneous-or-non-homogeneous-ode.htmlBuzz Spill Dailyen2026-08-29T07:32:49-04:00homogeneous or non-homogeneous ODE?https://liberty.io/how-do-you-show-sin-180-circ-2x-sin-2x.htmlBuzz Spill Dailyen2026-08-29T07:14:04-04:00How do you show $\sin(180^\circ - 2x) = \sin(2x)$https://liberty.io/one-point-perspective-formula.htmlBuzz Spill Dailyen2026-08-29T06:59:34-04:00One-point perspective formulahttps://liberty.io/what-is-a-false-premise.htmlBuzz Spill Dailyen2026-08-29T06:56:15-04:00What is a false premise?https://liberty.io/why-union-find-algorithm-runs-in-amortized-time.htmlBuzz Spill Dailyen2026-08-29T06:53:22-04:00Why union-find algorithm runs in amortized time?https://liberty.io/formula-for-working-out-the-number-of-dice-combinations-resulting-in-a.htmlBuzz Spill Dailyen2026-08-29T06:51:37-04:00Formula for working out the number of dice combinations resulting in a given valuehttps://liberty.io/finding-the-second-derivative-of-a-polar-equation.htmlBuzz Spill Dailyen2026-08-29T06:50:57-04:00Finding the second derivative of a polar equationhttps://liberty.io/what-is-edge-maximal-graph.htmlBuzz Spill Dailyen2026-08-29T06:45:05-04:00What is edge maximal graph?https://liberty.io/vertex-cover-reduction.htmlBuzz Spill Dailyen2026-08-29T06:44:39-04:00Vertex Cover Reductionhttps://liberty.io/fourier-series-for-cos-x.htmlBuzz Spill Dailyen2026-08-29T06:41:41-04:00Fourier Series for $|\cos(x)|$https://liberty.io/need-help-to-find-remainder-when-5-25-is-divided-by-31.htmlBuzz Spill Dailyen2026-08-29T06:38:05-04:00Need help to find remainder when $5!25!$ is divided by $31$?https://liberty.io/how-to-integrate-frac-4x-x-3-x-2-x-1.htmlBuzz Spill Dailyen2026-08-29T06:31:20-04:00How to integrate $\frac{4x}{x^3+x^2+x+1}$https://liberty.io/geometrical-interpretation-of-function-phi-n-duplicate.htmlBuzz Spill Dailyen2026-08-29T06:27:37-04:00Geometrical Interpretation of function $\phi(n)$ [duplicate]https://liberty.io/circular-definition.htmlBuzz Spill Dailyen2026-08-29T06:13:18-04:00Circular definition?https://liberty.io/basis-for-the-solution-space.htmlBuzz Spill Dailyen2026-08-29T06:07:20-04:00basis for the solution spacehttps://liberty.io/proof-of-pinsker-039-s-inequality.htmlBuzz Spill Dailyen2026-08-29T06:07:01-04:00Proof of Pinsker's inequality.https://liberty.io/range-of-a-piecewise-function.htmlBuzz Spill Dailyen2026-08-29T06:03:23-04:00Range of a piecewise functionhttps://liberty.io/shortest-path-between-three-nodes-in-a-graph.htmlBuzz Spill Dailyen2026-08-29T06:02:07-04:00Shortest path between three nodes in a graphhttps://liberty.io/mean-value-theorem-find-c.htmlBuzz Spill Dailyen2026-08-29T05:55:58-04:00Mean Value Theorem, find c.https://liberty.io/why-is-the-ratio-of-circumference-to-diameter-pi-and-not-any-other-num.htmlBuzz Spill Dailyen2026-08-29T05:53:46-04:00Why is the ratio of circumference to diameter $\pi$, and not any other number? [duplicate]https://liberty.io/what-is-n-when-n-0-duplicate.htmlBuzz Spill Dailyen2026-08-29T05:44:39-04:00What is $n!$ when $n=0$? [duplicate]https://liberty.io/are-the-real-product-rule-and-quotient-rule-for-integration-already-kn.htmlBuzz Spill Dailyen2026-08-29T05:41:55-04:00Are the real product rule and quotient rule for integration already known?https://liberty.io/why-does-the-euclidean-algorithm-for-finding-gcd-work.htmlBuzz Spill Dailyen2026-08-29T05:39:26-04:00Why does the Euclidean algorithm for finding GCD work?https://liberty.io/is-the-fibonacci-sequence-exponential.htmlBuzz Spill Dailyen2026-08-29T05:22:51-04:00Is the Fibonacci sequence exponential?https://liberty.io/adapting-a-picture-proof-of-trig-039-s-angle-addition-identities-to-an.htmlBuzz Spill Dailyen2026-08-29T05:21:35-04:00Adapting a picture proof of trig's Angle Addition identities to angles greater than $90^\circ$https://liberty.io/category-of-all-categories-vs-set-of-all-sets.htmlBuzz Spill Dailyen2026-08-29T05:21:14-04:00Category of all categories vs. Set of all setshttps://liberty.io/the-determinant-of-adjugate-matrix.htmlBuzz Spill Dailyen2026-08-29T05:13:24-04:00The determinant of adjugate matrixhttps://liberty.io/on-the-behavior-of-transcendental-functions.htmlBuzz Spill Dailyen2026-08-29T05:12:42-04:00On the behavior of transcendental functionshttps://liberty.io/finding-bases-for-row-space-and-null-space-of-matrix.htmlBuzz Spill Dailyen2026-08-29T05:00:32-04:00finding bases for row space and null space of matrix.https://liberty.io/trouble-understanding-sum-of-subspaces.htmlBuzz Spill Dailyen2026-08-29T04:52:37-04:00Trouble understanding Sum of Subspaceshttps://liberty.io/painting-cube-with-3-different-colours-closed.htmlBuzz Spill Dailyen2026-08-29T04:49:03-04:00Painting cube with 3 different colours [closed]https://liberty.io/what-is-cot-pi-2.htmlBuzz Spill Dailyen2026-08-29T04:40:37-04:00What is $\cot(\pi/2)$?https://liberty.io/an-explanation-of-the-kalman-filter.htmlBuzz Spill Dailyen2026-08-29T04:37:52-04:00An Explanation of the Kalman Filterhttps://liberty.io/how-to-factorize-polynomials-to-the-5th-degree.htmlBuzz Spill Dailyen2026-08-29T04:33:59-04:00How to factorize polynomials to the 5th degree?https://liberty.io/quick-way-to-find-eigenvalues-of-anti-diagonal-matrix.htmlBuzz Spill Dailyen2026-08-29T04:26:48-04:00Quick way to find eigenvalues of anti-diagonal matrixhttps://liberty.io/how-to-determine-if-a-large-number-is-prime.htmlBuzz Spill Dailyen2026-08-29T04:24:37-04:00How To Determine If A Large Number is Prime?https://liberty.io/how-does-sin2x-cos2x-1-2-sin4x-closed.htmlBuzz Spill Dailyen2026-08-29T04:06:52-04:00How does (sin2x)(cos2X) = (1/2)(sin4x)? [closed]https://liberty.io/questions-about-trigonometry.htmlBuzz Spill Dailyen2026-08-29T03:49:50-04:00Questions about Trigonometry