https://liberty.io/good-function-039-s.htmlBuzz Spill Dailyen2026-08-16T21:19:06-04:00Good function&#039;shttps://liberty.io/what-is-the-growth-rate-and-continuous-growth-rate.htmlBuzz Spill Dailyen2026-08-16T21:11:29-04:00what is the growth rate and continuous growth rate?https://liberty.io/using-logarithmic-differentiation-with-trig-functions.htmlBuzz Spill Dailyen2026-08-16T20:47:36-04:00Using logarithmic differentiation with trig functions?https://liberty.io/how-to-get-all-the-factors-of-a-number-using-its-prime-factorization.htmlBuzz Spill Dailyen2026-08-16T20:36:49-04:00How to get all the factors of a number using its prime factorization?https://liberty.io/should-this-definition-of-set-equality-be-an-axiom.htmlBuzz Spill Dailyen2026-08-16T20:23:11-04:00Should this "definition" of set equality be an axiom?https://liberty.io/does-the-series-sum-n-1-infty-1-n-ln-n-converge-or-diverge.htmlBuzz Spill Dailyen2026-08-16T20:18:44-04:00Does the series $\sum_{n=1}^\infty (-1)^n\ln(n)$ converge or diverge?https://liberty.io/existence-and-uniqueness-theorems-for-first-order-ode-039-s.htmlBuzz Spill Dailyen2026-08-16T20:04:46-04:00Existence and Uniqueness Theorems for First-Order ODE&#039;shttps://liberty.io/what-is-the-formula-for-finding-the-summation-of-an-exponential-functi.htmlBuzz Spill Dailyen2026-08-16T20:03:50-04:00What is the formula for finding the summation of an exponential function?https://liberty.io/a-pattern-appearing-in-the-powers-of-phi.htmlBuzz Spill Dailyen2026-08-16T20:00:37-04:00A pattern appearing in the powers of $\phi$https://liberty.io/surface-integral-first-octant.htmlBuzz Spill Dailyen2026-08-16T19:53:56-04:00Surface integral first octanthttps://liberty.io/the-autocovariance-function-of-arma-1-1.htmlBuzz Spill Dailyen2026-08-16T19:50:43-04:00The autocovariance function of ARMA(1,1)https://liberty.io/why-is-the-frobenius-norm-energy-of-a-rectangular-matrix-a-equal-to-th.htmlBuzz Spill Dailyen2026-08-16T19:46:43-04:00Why is the Frobenius norm (energy) of a rectangular matrix $A$ equal to the trace of $A^T A$ or $AA^T$https://liberty.io/proving-that-a-galois-group-gal-e-q-is-isomorphic-to-mathbb-f-p-times.htmlBuzz Spill Dailyen2026-08-16T19:42:52-04:00Proving that a Galois group $Gal(E/Q)$ is isomorphic to $\mathbb{F}_p^\times$https://liberty.io/singular-value-decomposition-of-product-of-matrices.htmlBuzz Spill Dailyen2026-08-16T19:28:29-04:00Singular value decomposition of product of matriceshttps://liberty.io/find-the-volume-of-the-solid-above-the-cone-z-sqrt-x-2-y-2-and-below-t.htmlBuzz Spill Dailyen2026-08-16T19:27:23-04:00Find the volume of the solid above the cone $z=\sqrt{x^2+y^2}$ and below the sphere $x^2+y^2+z^2=1$.https://liberty.io/how-to-raise-a-fraction-to-a-fractional-exponent.htmlBuzz Spill Dailyen2026-08-16T19:19:13-04:00How to raise a fraction to a fractional exponent?https://liberty.io/distance-point-on-ellipse-to-centre.htmlBuzz Spill Dailyen2026-08-16T19:17:11-04:00Distance point on ellipse to centrehttps://liberty.io/confusing-qualifiers-in-logic.htmlBuzz Spill Dailyen2026-08-16T19:13:32-04:00Confusing qualifiers in logichttps://liberty.io/given-the-determinant-of-a-2-times-2-matrix-calculate-the-determinant-.htmlBuzz Spill Dailyen2026-08-16T19:12:17-04:00Given the determinant of a $2 \times 2$ matrix, calculate the determinant of a $3 \times 3$ matrixhttps://liberty.io/what-point-on-the-line-y-2x-4-is-closest-to-the-origin.htmlBuzz Spill Dailyen2026-08-16T19:06:30-04:00What point on the line $y=2x+4$ is closest to the origin?https://liberty.io/level-curve-of-function-that-passes-through-given-point.htmlBuzz Spill Dailyen2026-08-16T19:05:17-04:00Level curve of function that passes through given pointhttps://liberty.io/finding-the-matrix-associated-with-a-linear-map.htmlBuzz Spill Dailyen2026-08-16T19:01:43-04:00Finding the matrix associated with a linear maphttps://liberty.io/add-1100-0110-in-binary.htmlBuzz Spill Dailyen2026-08-16T18:55:49-04:00Add $1100+0110$ in binaryhttps://liberty.io/derivative-of-definite-integral.htmlBuzz Spill Dailyen2026-08-16T18:53:10-04:00Derivative of definite integralhttps://liberty.io/how-to-determine-the-values-of-the-coefficient-c-in-the-objective-func.htmlBuzz Spill Dailyen2026-08-16T18:50:20-04:00How to determine the values of the coefficient c in the objective function in linear programming?https://liberty.io/how-many-positive-integers-less-than-1000-are-there-which-contain-at-l.htmlBuzz Spill Dailyen2026-08-16T18:42:52-04:00How many positive integers less than 1000 are there which contain at least one 4 or at least one 9 (or both)?https://liberty.io/integration-and-differentiation-of-fourier-series.htmlBuzz Spill Dailyen2026-08-16T18:41:03-04:00Integration and differentiation of Fourier serieshttps://liberty.io/what-is-the-modulus-of-a-number.htmlBuzz Spill Dailyen2026-08-16T18:33:00-04:00What is the modulus of a number?https://liberty.io/number-of-possible-combinations-in-which-ordering-doesn-039-t-matter.htmlBuzz Spill Dailyen2026-08-16T18:23:17-04:00Number of possible combinations in which ordering doesn&#039;t matterhttps://liberty.io/complex-number-how-to-find-the-angle-between-the-imaginary-axis-and-re.htmlBuzz Spill Dailyen2026-08-16T18:14:51-04:00Complex number - how to find the angle between the imaginary axis and real axis?https://liberty.io/can-you-find-an-equation-parallel-or-perpendicular-to-a-line-when-it-i.htmlBuzz Spill Dailyen2026-08-16T17:59:49-04:00Can you find an equation parallel or perpendicular to a line when it is not in slope intercept form?https://liberty.io/sum-of-2-positive-irrational-numbers-is-irrational-duplicate.htmlBuzz Spill Dailyen2026-08-16T17:53:50-04:00Sum of 2 positive irrational numbers is irrational? [duplicate]https://liberty.io/what-is-the-definition-of-a-properly-immersed-arc.htmlBuzz Spill Dailyen2026-08-16T17:39:25-04:00What is the definition of a properly-immersed arc?https://liberty.io/is-73-37-the-only-pair-of-reversible-primes-p-q-s-t-p-2q-1.htmlBuzz Spill Dailyen2026-08-16T17:35:40-04:00Is (73, 37) the only pair of reversible primes (p, q), s.t. p=2q-1?https://liberty.io/how-to-find-the-equation-of-a-line-tangent-to-a-circle-that-passes-thr.htmlBuzz Spill Dailyen2026-08-16T17:17:40-04:00How to find the equation of a line, tangent to a circle, that passes through a given external pointhttps://liberty.io/distributive-law-for-fraction-arithmetic.htmlBuzz Spill Dailyen2026-08-16T17:15:57-04:00Distributive law for fraction arithmetichttps://liberty.io/prove-that-the-equation-x-10000-x-100-1-0-has-a-solution-with-0-x-1.htmlBuzz Spill Dailyen2026-08-16T17:13:56-04:00Prove that the equation $x^{10000} + x^{100} - 1 = 0$ has a solution with $0 < x < 1$https://liberty.io/what-are-the-two-039-sides-039-of-a-decimal-number-called-duplicate.htmlBuzz Spill Dailyen2026-08-16T16:52:49-04:00What are the two &#039;sides&#039; of a decimal number called? [duplicate]https://liberty.io/internally-tangent-circles-and-circumcircle.htmlBuzz Spill Dailyen2026-08-16T16:48:52-04:00Internally tangent circles and circumcirclehttps://liberty.io/what-does-a-dot-after-a-number-mean.htmlBuzz Spill Dailyen2026-08-16T16:48:17-04:00What does a dot after a number mean?https://liberty.io/comparing-log-2-3-to-log-3-5.htmlBuzz Spill Dailyen2026-08-16T16:42:58-04:00Comparing $\log_2 3$ to $\log_3 5$https://liberty.io/composition-of-a-rotation-and-a-traslation-is-a-rotation.htmlBuzz Spill Dailyen2026-08-16T16:37:47-04:00Composition of a rotation and a traslation is a rotationhttps://liberty.io/requirements-for-a-linear-transformation.htmlBuzz Spill Dailyen2026-08-16T16:35:20-04:00Requirements for a Linear Transformationhttps://liberty.io/how-do-i-prove-that-arccos-x-arccos-x-pi-when-x-in-1-1-closed.htmlBuzz Spill Dailyen2026-08-16T16:31:52-04:00How do I prove that $\arccos(x) + \arccos(-x)=\pi$ when $x \in [-1,1]$? [closed]https://liberty.io/chain-rule-for-partial-derivatives.htmlBuzz Spill Dailyen2026-08-16T16:31:49-04:00Chain rule for partial derivativeshttps://liberty.io/solve-first-order-matrix-differential-equation.htmlBuzz Spill Dailyen2026-08-16T16:27:47-04:00Solve first order matrix differential equationhttps://liberty.io/slope-between-two-points-vectors-closed.htmlBuzz Spill Dailyen2026-08-16T16:25:21-04:00Slope between two points - Vectors [closed]https://liberty.io/equilateral-and-equiangular-polygon.htmlBuzz Spill Dailyen2026-08-16T16:14:12-04:00Equilateral and equiangular polygonhttps://liberty.io/why-is-a-symmetric-group-a-group.htmlBuzz Spill Dailyen2026-08-16T16:03:36-04:00Why is a symmetric group a grouphttps://liberty.io/circle-and-a-quadrilateral.htmlBuzz Spill Dailyen2026-08-16T15:54:06-04:00Circle and a quadrilateralhttps://liberty.io/properties-of-triangles-in-non-euclidean-geometries.htmlBuzz Spill Dailyen2026-08-16T15:53:03-04:00Properties of triangles in non-Euclidean geometrieshttps://liberty.io/finding-the-basis-of-a-null-space.htmlBuzz Spill Dailyen2026-08-16T15:50:34-04:00Finding the basis of a null spacehttps://liberty.io/verification-of-my-solution-of-xy-039-2y.htmlBuzz Spill Dailyen2026-08-16T15:31:55-04:00Verification of my solution of $xy&#039;=2y$https://liberty.io/solving-differential-equation-y-039-039-1-y-039-2.htmlBuzz Spill Dailyen2026-08-16T15:29:17-04:00Solving Differential Equation $y&#039;&#039;=1+(y&#039;)^2$https://liberty.io/can-any-right-triangle-be-inscribed-in-a-circle.htmlBuzz Spill Dailyen2026-08-16T15:28:08-04:00Can any right triangle be inscribed in a circle?https://liberty.io/how-to-construct-an-equilateral-triangle-on-2-concentric-circles.htmlBuzz Spill Dailyen2026-08-16T15:21:34-04:00How to construct an equilateral triangle on 2 concentric circleshttps://liberty.io/divergence-of-laplacian.htmlBuzz Spill Dailyen2026-08-16T15:10:05-04:00Divergence of laplacianhttps://liberty.io/what-are-the-conditions-for-a-polygon-to-be-tessellated.htmlBuzz Spill Dailyen2026-08-16T15:04:37-04:00What are the conditions for a polygon to be tessellated?https://liberty.io/log-of-softmax-function-derivative.htmlBuzz Spill Dailyen2026-08-16T15:03:06-04:00Log of Softmax function Derivative.https://liberty.io/prove-eigenfunctions-corresponding-to-different-eigenvalues-are-orthog.htmlBuzz Spill Dailyen2026-08-16T15:02:45-04:00Prove eigenfunctions corresponding to different eigenvalues are orthogonalhttps://liberty.io/polynomial-inequality-for-imaginary-roots.htmlBuzz Spill Dailyen2026-08-16T15:01:12-04:00Polynomial inequality for imaginary rootshttps://liberty.io/infinity-times-zero-closed.htmlBuzz Spill Dailyen2026-08-16T14:49:17-04:00Infinity times zero [closed]https://liberty.io/pivot-columns-and-basic-variables.htmlBuzz Spill Dailyen2026-08-16T14:48:49-04:00Pivot columns and basic variableshttps://liberty.io/what-is-the-difference-between-topological-and-metric-spaces.htmlBuzz Spill Dailyen2026-08-16T14:45:36-04:00What is the difference between topological and metric spaces?https://liberty.io/how-do-i-calculate-a-dihedral-angle-given-cartesian-coordinates.htmlBuzz Spill Dailyen2026-08-16T14:44:15-04:00How do I calculate a dihedral angle given Cartesian coordinates?https://liberty.io/what-is-the-j-invariant.htmlBuzz Spill Dailyen2026-08-16T14:35:17-04:00What is the j-invariant?https://liberty.io/decompose-projection-matrix-into-a-matrix-and-its-pseudoinverse.htmlBuzz Spill Dailyen2026-08-16T14:31:30-04:00Decompose projection matrix into a matrix and its pseudoinversehttps://liberty.io/expected-value-of-a-binomial-distribution.htmlBuzz Spill Dailyen2026-08-16T14:26:43-04:00Expected Value of a Binomial distribution?https://liberty.io/finding-precise-solution-for-x-in-complicated-single-variable-equation.htmlBuzz Spill Dailyen2026-08-16T14:23:51-04:00Finding precise solution for x in complicated single-variable equation...https://liberty.io/online-tools-for-doing-symbolic-mathematics.htmlBuzz Spill Dailyen2026-08-16T14:18:50-04:00Online tools for doing symbolic mathematicshttps://liberty.io/how-to-find-top-and-bottom-function-for-finding-area-between-two-curve.htmlBuzz Spill Dailyen2026-08-16T14:18:16-04:00How to find top and bottom function for finding area between two curves?https://liberty.io/cofinite-topology.htmlBuzz Spill Dailyen2026-08-16T14:10:25-04:00cofinite topologyhttps://liberty.io/please-help-how-to-work-the-inequation-x-1-x-5-0.htmlBuzz Spill Dailyen2026-08-16T14:06:06-04:00Please help how to work the inequation (x-1)/(x-5)<0https://liberty.io/trace-of-a-matrix-when-to-use-what-is-trace-trick.htmlBuzz Spill Dailyen2026-08-16T14:00:56-04:00Trace of a Matrix: when to use? what is trace trick?https://liberty.io/relation-between-the-roots-of-a-cubic-equation-and-the-coefficients.htmlBuzz Spill Dailyen2026-08-16T14:00:17-04:00Relation between the roots of a cubic equation and the coefficientshttps://liberty.io/generators-of-the-symmetric-group-s-3.htmlBuzz Spill Dailyen2026-08-16T13:59:25-04:00Generators of the Symmetric group $S_3$https://liberty.io/how-is-logistic-loss-and-cross-entropy-related.htmlBuzz Spill Dailyen2026-08-16T13:56:53-04:00How is logistic loss and cross-entropy related?https://liberty.io/limit-lim-x-to0-ln-x.htmlBuzz Spill Dailyen2026-08-16T13:56:01-04:00Limit $\lim_{x \to0^-}\ln x$https://liberty.io/what-is-the-definition-of-finitely-generated.htmlBuzz Spill Dailyen2026-08-16T13:40:53-04:00What is the definition of finitely generated?https://liberty.io/how-to-solve-the-limit-lim-limits-x-to-infty-x-arctan-x-frac-x-pi-2.htmlBuzz Spill Dailyen2026-08-16T13:36:22-04:00How to solve the limit $\lim\limits_{x\to \infty} (x \arctan x - \frac{x\pi}{2})$https://liberty.io/in-a-30-60-right-triangle-the-side-opposite-the-30-degree-angle-is-hal.htmlBuzz Spill Dailyen2026-08-16T13:27:06-04:00In a 30-60 right triangle the side opposite the 30 degree angle is half the length of the hypotenuse. Why? 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