https://liberty.io/how-does-tree-3-grow-to-get-so-big-laymen-explanation.htmlBuzz Spill Dailyen2026-08-30T03:19:02-04:00How does TREE(3) grow to get so big? (Laymen explanation)https://liberty.io/trial-solutions-for-differential-equations.htmlBuzz Spill Dailyen2026-08-30T03:02:57-04:00Trial Solutions for Differential Equationshttps://liberty.io/what-is-the-difference-between-10-choose-2-and-10-choose-1-times-9-cho.htmlBuzz Spill Dailyen2026-08-30T02:54:33-04:00what is the difference between ${10 \choose 2}$ and ${10 \choose 1}\times{9 \choose 1}$?https://liberty.io/how-do-i-compute-a-double-weighted-average-in-other-words-an-average-w.htmlBuzz Spill Dailyen2026-08-30T02:49:27-04:00How do I compute a double weighted average? 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problemhttps://liberty.io/notation-for-elements-of-a-vector.htmlBuzz Spill Dailyen2026-08-30T02:19:25-04:00Notation for elements of a vectorhttps://liberty.io/find-the-number-of-real-solutions-of-the-equation-x-3-1-2-2x-1-frac-1-.htmlBuzz Spill Dailyen2026-08-30T02:17:19-04:00Find the number of real solutions of the equation $x^3+1=2(2x-1)^{\frac{1}{3}}$https://liberty.io/relationship-between-cartesian-velocity-and-polar-velocity.htmlBuzz Spill Dailyen2026-08-30T02:17:01-04:00relationship between cartesian velocity and polar velocityhttps://liberty.io/converge-in-probability-and-big-oh-pee-1.htmlBuzz Spill Dailyen2026-08-30T02:10:41-04:00Converge in Probability and Big Oh pee (1)https://liberty.io/how-to-define-a-vector-without-a-basis.htmlBuzz Spill Dailyen2026-08-30T02:09:06-04:00How to define a vector without a basis?https://liberty.io/are-abelian-subgroups-normal.htmlBuzz Spill Dailyen2026-08-30T01:50:55-04:00Are abelian subgroups normal?https://liberty.io/how-to-show-an-ancillary-statistic-is-a-first-order-ancillary-statisti.htmlBuzz Spill Dailyen2026-08-30T01:50:13-04:00How to show an ancillary statistic is a first order ancillary statistic?https://liberty.io/formal-definition-of-the-differential-of-a-function.htmlBuzz Spill Dailyen2026-08-30T01:50:10-04:00Formal definition of the Differential of a functionhttps://liberty.io/prove-that-every-year-has-at-least-one-friday-the-13th.htmlBuzz Spill Dailyen2026-08-30T01:48:20-04:00Prove that every year has at least one Friday the 13thhttps://liberty.io/chain-rule-with-triple-composition.htmlBuzz Spill Dailyen2026-08-30T01:42:43-04:00Chain rule with triple compositionhttps://liberty.io/finding-a-equation-for-a-tangent-line-to-the-curve-y-e-x-which-also-go.htmlBuzz Spill Dailyen2026-08-30T01:37:00-04:00Finding a equation for a tangent line to the curve $y=e^x$ which also goes through the originhttps://liberty.io/how-do-i-find-the-cumulative-distribution-function-of-a-binomial-rando.htmlBuzz Spill Dailyen2026-08-30T01:34:26-04:00How do I find the cumulative distribution function of a binomial random variable?https://liberty.io/understanding-the-proof-of-sqrt-2-is-irrational-by-contradiction.htmlBuzz Spill Dailyen2026-08-30T01:33:20-04:00Understanding the proof of "$\sqrt{2}$ is irrational" by contradiction.https://liberty.io/when-square-is-inscribed-how-to-identify-the-similar-triangles.htmlBuzz Spill Dailyen2026-08-30T01:29:00-04:00When square is inscribed how to identify the similar triangleshttps://liberty.io/find-adjacent-only-knowing-angle-and-opposite.htmlBuzz Spill Dailyen2026-08-30T01:09:19-04:00Find Adjacent only knowing Angle and Oppositehttps://liberty.io/backpropagation-with-linear-algebra-how.htmlBuzz Spill Dailyen2026-08-30T01:08:17-04:00Backpropagation with linear algebra - How?https://liberty.io/basic-open-set-question.htmlBuzz Spill Dailyen2026-08-30T01:06:35-04:00Basic Open set questionhttps://liberty.io/calculate-the-radius-of-the-cylinder-such-that-the-tsa-is-a-max.htmlBuzz Spill Dailyen2026-08-30T01:02:21-04:00calculate the radius of the cylinder such that the TSA is a maxhttps://liberty.io/examples-of-bijective-map-from-mathbb-r-3-rightarrow-mathbb-r.htmlBuzz Spill Dailyen2026-08-30T00:58:06-04:00Examples of bijective map from $\mathbb{R}^3\rightarrow \mathbb{R}$https://liberty.io/proof-of-uniqueness-of-the-bounded-linear-transformation-extended-in-t.htmlBuzz Spill Dailyen2026-08-30T00:46:07-04:00Proof of uniqueness of the bounded linear transformation extended in the Bounded Linear Transformation theoremhttps://liberty.io/can-this-boolean-expression-be-simplified-any-further.htmlBuzz Spill Dailyen2026-08-30T00:43:07-04:00Can this Boolean expression be simplified any further?https://liberty.io/tangentplane-of-a-hyperboloid.htmlBuzz Spill Dailyen2026-08-30T00:41:02-04:00Tangentplane of a hyperboloidhttps://liberty.io/what-is-the-general-equation-for-rotated-ellipsoid.htmlBuzz Spill Dailyen2026-08-30T00:39:07-04:00What is the general equation for rotated ellipsoid?https://liberty.io/what-is-the-derivative-of-x-y-with-respect-to-y.htmlBuzz Spill Dailyen2026-08-30T00:36:59-04:00What is the derivative of $x^y$ with respect to $y$?https://liberty.io/how-to-calculate-average-of-sine-squared.htmlBuzz Spill Dailyen2026-08-30T00:36:02-04:00How to calculate average of sine squaredhttps://liberty.io/does-every-mathematical-operation-has-an-inverse-operation.htmlBuzz Spill Dailyen2026-08-30T00:30:19-04:00Does every mathematical operation has an inverse operation?https://liberty.io/what-039-s-the-differece-between-cot-x-and-arctan-x-duplicate.htmlBuzz Spill Dailyen2026-08-30T00:24:01-04:00What &#039;s the differece between $\cot(x)$ and $\arctan(x)$? [duplicate]https://liberty.io/solve-the-following-equation-sqrt-x-sqrt-4x-sqrt-16x-sqrt-64x-5-sqrt-x.htmlBuzz Spill Dailyen2026-08-30T00:23:52-04:00Solve the following equation: $\sqrt {x + \sqrt {4x + \sqrt {16x + \sqrt {64x + 5}}}} - \sqrt x= 1$https://liberty.io/what-is-the-fastest-way-to-multiply-and-divide-polynomials.htmlBuzz Spill Dailyen2026-08-30T00:19:53-04:00What is the fastest way to multiply and divide polynomials?https://liberty.io/how-would-you-define-twice-as-many-when-0-is-concerned.htmlBuzz Spill Dailyen2026-08-30T00:12:16-04:00How would you define "twice as many" when 0 is concerned?https://liberty.io/what-are-some-applications-of-linear-approximation-in-the-real-world.htmlBuzz Spill Dailyen2026-08-30T00:11:15-04:00What are some applications of linear approximation in the real world?https://liberty.io/base-and-height-of-equilateral-triangle-that-are-closest-to-integers.htmlBuzz Spill Dailyen2026-08-30T00:08:07-04:00Base and height of equilateral triangle that are closest to integershttps://liberty.io/solve-sin-4x-sin-x-closed.htmlBuzz Spill Dailyen2026-08-30T00:01:16-04:00Solve $\sin(4x) = \sin(x)$ [closed]https://liberty.io/velocity-definite-integral.htmlBuzz Spill Dailyen2026-08-29T23:56:45-04:00Velocity & Definite Integralhttps://liberty.io/help-me-understand-the-formal-logic-notation.htmlBuzz Spill Dailyen2026-08-29T23:47:53-04:00Help me understand the formal logic notation?https://liberty.io/why-do-you-add-1-in-counting-test-questions.htmlBuzz Spill Dailyen2026-08-29T23:37:32-04:00Why do you add +1 in counting test questions?https://liberty.io/how-to-calculate-the-volume-of-an-ellipsoid-with-triple-integral.htmlBuzz Spill Dailyen2026-08-29T23:26:51-04:00How to calculate the volume of an ellipsoid with triple integralhttps://liberty.io/what-is-the-probability-of-picking-a-random-number-from-1-to-100-100-t.htmlBuzz Spill Dailyen2026-08-29T23:21:34-04:00What is the probability of picking a random number from 1 to 100, 100 times, and getting each number from 1 to 100?https://liberty.io/check-my-proof-of-0-r-q-epsilon-real-rational-duplicate.htmlBuzz Spill Dailyen2026-08-29T23:19:24-04:00Check my proof of 0 < |r - q| < epsilon. (Real # - Rational #) [duplicate]https://liberty.io/disproving-a-s-s-angle-side-side-congruence-condition.htmlBuzz Spill Dailyen2026-08-29T23:18:20-04:00Disproving $A-S-S(Angle-Side-Side)$ congruence condition...https://liberty.io/converting-between-two-frames-of-reference-given-two-points.htmlBuzz Spill Dailyen2026-08-29T23:17:24-04:00Converting between two frames of reference given two pointshttps://liberty.io/euclidean-norm-of-a-vector-with-respect-to-some-basis-other-than-the-s.htmlBuzz Spill Dailyen2026-08-29T23:12:56-04:00(Euclidean) Norm of a vector with respect to some basis other than the standard basishttps://liberty.io/what-039-s-the-difference-between-list-and-sequence-as-mathematical-co.htmlBuzz Spill Dailyen2026-08-29T23:12:39-04:00What&#039;s the difference between list and sequence (as mathematical concepts not programming point of view)?https://liberty.io/cosine-similarity-vs-angular-distance.htmlBuzz Spill Dailyen2026-08-29T23:04:00-04:00Cosine similarity vs angular distancehttps://liberty.io/property-of-subordinate-matrix-norm-ab-leq-a-b.htmlBuzz Spill Dailyen2026-08-29T23:02:00-04:00Property of Subordinate Matrix Norm: $\|AB\| \leq \|A\|\|B\|$https://liberty.io/when-to-use-congruent-vs-approximately.htmlBuzz Spill Dailyen2026-08-29T23:01:15-04:00When to use congruent vs approximately?https://liberty.io/thales-properties-with-similar-triangles.htmlBuzz Spill Dailyen2026-08-29T22:48:30-04:00Thales properties with similar triangleshttps://liberty.io/counterclockwise-rotation-matrix.htmlBuzz Spill Dailyen2026-08-29T22:43:53-04:00Counterclockwise rotation matrixhttps://liberty.io/riemann-sums-finding-the-lower-sum.htmlBuzz Spill Dailyen2026-08-29T22:36:54-04:00Riemann sums, finding the lower sum?https://liberty.io/how-to-calculate-matrix-rotation.htmlBuzz Spill Dailyen2026-08-29T22:30:20-04:00How to calculate matrix rotationhttps://liberty.io/how-to-compute-the-gradient-of-the-norm-for-linear-least-squares.htmlBuzz Spill Dailyen2026-08-29T22:26:00-04:00How to compute the gradient of the norm for linear least squares?https://liberty.io/prove-the-determinant-is-the-product-of-its-diagonal-entries.htmlBuzz Spill Dailyen2026-08-29T22:20:23-04:00Prove the determinant is the product of its diagonal entrieshttps://liberty.io/show-that-unit-circle-is-compact.htmlBuzz Spill Dailyen2026-08-29T22:16:39-04:00Show that unit circle is compact?https://liberty.io/derive-formula-for-number-of-cables-in-full-mesh-network.htmlBuzz Spill Dailyen2026-08-29T22:14:36-04:00Derive formula for number of cables in full-mesh networkhttps://liberty.io/what-on-earth-is-the-difference-between-calculus-and-analysis-duplicat.htmlBuzz Spill Dailyen2026-08-29T22:09:55-04:00What on earth is the difference between Calculus and Analysis [duplicate]https://liberty.io/does-the-equation-x-3-9-0-have-any-solutions-in-mathbb-z-31-mathbb-z.htmlBuzz Spill Dailyen2026-08-29T22:01:24-04:00Does the equation $x^3-9=0$ have any solutions in $(\mathbb{Z}/31 \mathbb{Z})$?https://liberty.io/intersection-of-2-tangent-lines-on-a-circle.htmlBuzz Spill Dailyen2026-08-29T21:59:31-04:00Intersection of 2 tangent lines on a circlehttps://liberty.io/what-does-200-faster-mean-how-can-something-be-more-than-100-faster.htmlBuzz Spill Dailyen2026-08-29T21:58:54-04:00What does $200\%$ faster mean? (How can something be more than $100\%$ faster?)https://liberty.io/if-x-3-is-positive-then-which-one-of-the-following-must-be-positive.htmlBuzz Spill Dailyen2026-08-29T21:56:26-04:00If $x+3$ is positive, then which one of the following must be positive?https://liberty.io/proving-that-there-exists-no-natural-number-between-2-consecutive-natu.htmlBuzz Spill Dailyen2026-08-29T21:48:41-04:00Proving that there exists no natural number between 2 consecutive natural numbers using the Axiomatic description of $\mathbb{R}$https://liberty.io/rearranging-formulas-involving-fractions.htmlBuzz Spill Dailyen2026-08-29T21:31:24-04:00Rearranging formulas involving fractionshttps://liberty.io/obtaining-the-frac-1-2-pi-factor-in-the-fourier-transform.htmlBuzz Spill Dailyen2026-08-29T21:20:36-04:00Obtaining the $\frac{1}{2\pi}$ factor in the Fourier transformhttps://liberty.io/centroid-of-a-region.htmlBuzz Spill Dailyen2026-08-29T21:19:47-04:00Centroid of a regionhttps://liberty.io/proving-monotonic-sequence-theorem.htmlBuzz Spill Dailyen2026-08-29T21:06:08-04:00Proving Monotonic Sequence Theoremhttps://liberty.io/why-is-the-graph-of-x-y-2-and-y-sqrt-x-not-the-same.htmlBuzz Spill Dailyen2026-08-29T21:05:44-04:00Why is the graph of $x=y^2$ and $y=\sqrt{x}$ not the same?https://liberty.io/obscuring-squares-of-rubik-039-s-cube.htmlBuzz Spill Dailyen2026-08-29T21:05:28-04:00Obscuring squares of Rubik&#039;s cubehttps://liberty.io/writing-out-the-number-of-zeros-from-1-1-000-000.htmlBuzz Spill Dailyen2026-08-29T21:02:34-04:00Writing Out The Number of Zeros From 1 - 1,000,000https://liberty.io/in-set-theory-what-does-it-mean-for-a-variable-to-have-a-bar-symbol-ab.htmlBuzz Spill Dailyen2026-08-29T20:58:52-04:00In set theory, what does it mean for a variable to have a bar symbol above it?https://liberty.io/how-to-simplify-abs-x-x.htmlBuzz Spill Dailyen2026-08-29T20:57:22-04:00How to simplify abs(x)/xhttps://liberty.io/integrate-int-x-sin-2-x-dx.htmlBuzz Spill Dailyen2026-08-29T20:54:02-04:00Integrate $\int x\sin^2 (x) dx$https://liberty.io/3-d-geometry-three-vertices-of-a-gm-abcd-is-3-1-2-1-2-4-1-1-2-find-the.htmlBuzz Spill Dailyen2026-08-29T20:45:25-04:003-D geometry : three vertices of a ||gm ABCD is (3,-1,2), (1,2,-4) & (-1,1,2). Find the coordinate of the fourth vertex.https://liberty.io/calculate-the-vector-normal-to-the-plane-by-given-points.htmlBuzz Spill Dailyen2026-08-29T20:41:00-04:00Calculate the vector normal to the plane by given pointshttps://liberty.io/prove-the-limit-is-sqrt-e.htmlBuzz Spill Dailyen2026-08-29T20:39:06-04:00Prove the limit is $\sqrt{e}$.https://liberty.io/how-to-lower-upper-bound-n-using-1-x-leq-e-x.htmlBuzz Spill Dailyen2026-08-29T20:27:06-04:00How to lower/upper bound $n!$ using $1+x\leq e^x$?https://liberty.io/what-is-the-relationship-between-the-trigonometric-secant-and-the-geom.htmlBuzz Spill Dailyen2026-08-29T20:22:10-04:00What is the relationship between the trigonometric secant and the geometric secant of a circle?https://liberty.io/why-can-039-t-my-graphing-calculator-find-the-rref-of-the-transpose-of.htmlBuzz Spill Dailyen2026-08-29T20:19:33-04:00Why can&#039;t my graphing calculator find the RREF of the transpose of a matrix?https://liberty.io/one-to-one-correspondence-between-infinite-sets.htmlBuzz Spill Dailyen2026-08-29T20:13:15-04:00One-to-one correspondence between infinite setshttps://liberty.io/area-enclosed-by-a-circle-and-leminscate.htmlBuzz Spill Dailyen2026-08-29T20:09:18-04:00Area enclosed by a circle and leminscatehttps://liberty.io/int-sin-6-x-cos-x-dx.htmlBuzz Spill Dailyen2026-08-29T20:05:46-04:00$\int\sin^6(x)\cos(x)dx$.https://liberty.io/rational-equations-what-are-excluded-values.htmlBuzz Spill Dailyen2026-08-29T20:00:37-04:00Rational Equations: What are Excluded Values?https://liberty.io/why-the-derivative-of-inverse-secant-has-an-absolute-value.htmlBuzz Spill Dailyen2026-08-29T20:00:07-04:00Why the derivative of inverse secant has an absolute value?https://liberty.io/difficult-conversion-from-polar-equation-to-rectangular-equation.htmlBuzz Spill Dailyen2026-08-29T19:58:21-04:00Difficult conversion from polar equation to rectangular equation.https://liberty.io/volume-of-a-tent-with-canvas-stretched-from-a-circular-base-to-a-verti.htmlBuzz Spill Dailyen2026-08-29T19:34:17-04:00Volume of a tent with canvas stretched from a circular base to a vertical semicircular rodhttps://liberty.io/is-it-possible-to-change-the-pole-and-or-the-polar-axis-in-a-polar-coo.htmlBuzz Spill Dailyen2026-08-29T19:31:42-04:00Is it possible to change the pole and/or the polar axis in a polar coordinate system?https://liberty.io/is-polynomial-in-general-the-same-as-polynomial-function.htmlBuzz Spill Dailyen2026-08-29T19:27:23-04:00Is polynomial in general the same as polynomial function?https://liberty.io/does-the-fact-that-a-17-i-2-imply-that-the-matrix-a-must-be-i-2.htmlBuzz Spill Dailyen2026-08-29T19:23:25-04:00Does the fact that $A^{17} = I_2$ imply that the matrix $A$ must be $I_2$?https://liberty.io/convert-vector-into-diagonal-matrix.htmlBuzz Spill Dailyen2026-08-29T19:22:18-04:00Convert vector into diagonal matrixhttps://liberty.io/c-alculating-flux-using-the-divergence-theorem-when-the-divergence-is-.htmlBuzz Spill Dailyen2026-08-29T19:10:45-04:00C alculating flux using the divergence theorem when the divergence is 0https://liberty.io/is-this-the-general-solution-to-this-2x4-matrix.htmlBuzz Spill Dailyen2026-08-29T19:08:24-04:00Is this the general solution to this 2x4 matrix?