https://pop.com.sg/solid-angle-integration.htmlFame Craze Newsen2026-08-18T23:40:21-04:00Solid angle: integrationhttps://pop.com.sg/fundamental-theorem-of-calculus-of-a-definite-integral.htmlFame Craze Newsen2026-08-18T23:39:27-04:00Fundamental Theorem of Calculus of a definite integralhttps://pop.com.sg/prime-numbers-6k-1-mod-rule-new-discovery.htmlFame Craze Newsen2026-08-18T23:38:22-04:00Prime Numbers: 6k-1 mod rule (New Discovery?)https://pop.com.sg/understanding-the-properties-and-use-of-the-laplacian-matrix-and-its-n.htmlFame Craze Newsen2026-08-18T23:27:55-04:00Understanding the properties and use of the Laplacian matrix (and its norm)https://pop.com.sg/is-0-a-natural-number.htmlFame Craze Newsen2026-08-18T23:21:00-04:00Is $0$ a natural number?https://pop.com.sg/what-is-wrong-with-my-solution-int-cos-2-x-tan-3x-dx.htmlFame Craze Newsen2026-08-18T23:17:46-04:00What is wrong with my solution? $\int \cos^2 x \tan^3x dx$https://pop.com.sg/what-allows-us-divide-multiply-dx-in-calculus.htmlFame Craze Newsen2026-08-18T23:16:08-04:00What allows us divide/multiply dx in calculus?https://pop.com.sg/what-is-general-term-of-the-sequence-1-2-4-4-8-8-8-8-16-16-16-16-16-16.htmlFame Craze Newsen2026-08-18T23:16:02-04:00What is general term of the sequence : $1, 2, 4, 4, 8, 8, 8, 8, 16, 16, 16, 16, 16, 16, 16, 16, 32, 32 ...$?https://pop.com.sg/how-to-find-a-minimal-polynomial.htmlFame Craze Newsen2026-08-18T23:11:00-04:00How to find a minimal polynomialhttps://pop.com.sg/laplace-transform-of-sin-at-by-definition.htmlFame Craze Newsen2026-08-18T23:08:22-04:00Laplace transform of $\sin(at)$ by definitionhttps://pop.com.sg/what-is-temperature-distribution-equation.htmlFame Craze Newsen2026-08-18T23:04:52-04:00What is temperature distribution equation?https://pop.com.sg/minimal-realization-of-a-state-space-model.htmlFame Craze Newsen2026-08-18T23:03:41-04:00Minimal realization of a state space model?https://pop.com.sg/what-does-it-mean-to-solve-or-find-solutions-in-mathematics.htmlFame Craze Newsen2026-08-18T22:49:57-04:00What does it mean to solve or find solutions in mathematics?https://pop.com.sg/find-a-vector-mathbf-x-whose-image-under-t-is-b.htmlFame Craze Newsen2026-08-18T22:24:16-04:00Find a vector $\mathbf x$ whose image under $T$ is $b$.https://pop.com.sg/calculating-multivariable-limit.htmlFame Craze Newsen2026-08-18T22:20:48-04:00Calculating multivariable limithttps://pop.com.sg/how-do-i-determine-if-a-matrix-is-in-a-span-of-two-other-matrices.htmlFame Craze Newsen2026-08-18T22:13:32-04:00How do I determine if a matrix is in a span of two other matrices?https://pop.com.sg/degeneracy-of-outerplanar-graphs.htmlFame Craze Newsen2026-08-18T22:04:07-04:00Degeneracy of outerplanar graphshttps://pop.com.sg/period-vs-time-period-of-sine-wave.htmlFame Craze Newsen2026-08-18T21:47:43-04:00period vs time period of sine wavehttps://pop.com.sg/determine-if-a-statement-is-true-or-false.htmlFame Craze Newsen2026-08-18T21:33:43-04:00Determine if a statement is true or falsehttps://pop.com.sg/manual-calculation-doesn-039-t-match-wolfram-alpha-why.htmlFame Craze Newsen2026-08-18T21:32:34-04:00Manual calculation doesn't match Wolfram Alpha. Why?https://pop.com.sg/simplifying-math-equation-with-factorials.htmlFame Craze Newsen2026-08-18T21:28:43-04:00simplifying math equation with factorialshttps://pop.com.sg/find-the-perimeter-of-the-trapezoid-from-the-3-side-lengths.htmlFame Craze Newsen2026-08-18T21:27:38-04:00Find the perimeter of the trapezoid from the 3 side lengths.https://pop.com.sg/there-is-any-relation-between-pi-sqrt-2-or-a-generic-polygon.htmlFame Craze Newsen2026-08-18T21:24:00-04:00there is any relation between $\pi$, $\sqrt{2}$ or a generic polygon?https://pop.com.sg/probability-of-3-people-in-a-room-of-30-having-the-same-birthday.htmlFame Craze Newsen2026-08-18T21:21:30-04:00Probability of 3 people in a room of 30 having the same birthdayhttps://pop.com.sg/solve-the-function-for-x-in-terms-of-y.htmlFame Craze Newsen2026-08-18T21:19:39-04:00Solve the function for $x$ in terms of $y$https://pop.com.sg/solve-equation-with-absolute-value-of-complex-numbers.htmlFame Craze Newsen2026-08-18T21:18:35-04:00Solve equation with absolute value of complex numbershttps://pop.com.sg/how-to-perform-abstract-integration.htmlFame Craze Newsen2026-08-18T21:12:39-04:00How to perform abstract integrationhttps://pop.com.sg/zebra-groups-and-counting-stripes.htmlFame Craze Newsen2026-08-18T20:53:10-04:00Zebra groups and counting stripeshttps://pop.com.sg/what-is-the-difference-between-shifting-functions-and-shifting-parabol.htmlFame Craze Newsen2026-08-18T20:51:10-04:00What is the difference between shifting functions and shifting parabolas?https://pop.com.sg/limit-of-absolute-values.htmlFame Craze Newsen2026-08-18T20:50:10-04:00limit of absolute valueshttps://pop.com.sg/why-is-this-called-the-cocycle-condition.htmlFame Craze Newsen2026-08-18T20:38:56-04:00Why is this called the cocycle condition?https://pop.com.sg/integration-involving-fractional-part-function.htmlFame Craze Newsen2026-08-18T20:38:36-04:00Integration involving fractional part functionhttps://pop.com.sg/is-a-linear-transformation-onto-or-one-to-one.htmlFame Craze Newsen2026-08-18T20:34:37-04:00Is a linear transformation onto or one-to-one?https://pop.com.sg/what-does-it-mean-for-media-to-play-at-1-5x-or-nx-speed.htmlFame Craze Newsen2026-08-18T20:31:20-04:00What does it mean for media to play at "1.5x" or (Nx) speed?https://pop.com.sg/find-all-eigenvalues-of-a-matrix-that-holds-a-a-5.htmlFame Craze Newsen2026-08-18T20:20:48-04:00Find all eigenvalues of a matrix that holds $A = A^{5}$https://pop.com.sg/adjoint-of-a-differential-operator.htmlFame Craze Newsen2026-08-18T20:20:24-04:00Adjoint of a differential operatorhttps://pop.com.sg/why-is-congruence-sign-a-equiv-b-pmod-c-closed.htmlFame Craze Newsen2026-08-18T20:16:42-04:00Why is congruence sign $A\equiv B\pmod{C}$? [closed]https://pop.com.sg/vi-arnold-ode-need-help-coming-to-grips-with-early-notation-in-the-boo.htmlFame Craze Newsen2026-08-18T20:06:10-04:00VI Arnold ODE: Need help coming to grips with early notation in the book (phase velocity)https://pop.com.sg/fair-coin-and-weighted-coin.htmlFame Craze Newsen2026-08-18T20:05:46-04:00Fair coin and weighted coinhttps://pop.com.sg/how-can-2-100-2-98-2-99-2-97-be-written-in-terms-of-its-prime-factors.htmlFame Craze Newsen2026-08-18T19:56:31-04:00How can $(2^{100}-2^{98})(2^{99}-2^{97})$ be written in terms of its prime factors?https://pop.com.sg/domain-and-range-of-piecewise-function-help.htmlFame Craze Newsen2026-08-18T19:53:18-04:00Domain and Range of Piecewise Function Helphttps://pop.com.sg/how-to-find-sin-and-cos-of-0-pi-2-pi-without-calculator-closed.htmlFame Craze Newsen2026-08-18T19:36:22-04:00How to find sin and cos of 0, pi/2, pi without calculator [closed]https://pop.com.sg/degenerate-solution-in-linear-programming.htmlFame Craze Newsen2026-08-18T19:21:47-04:00Degenerate solution in linear programminghttps://pop.com.sg/proof-of-bolzano-039-s-theorem.htmlFame Craze Newsen2026-08-18T19:19:37-04:00Proof of Bolzano's Theoremhttps://pop.com.sg/explanation-of-the-derivation-of-the-formula-for-the-sum-of-an-arithme.htmlFame Craze Newsen2026-08-18T19:14:08-04:00Explanation of the derivation of the formula for the sum of an arithmetic sequence of the first n termshttps://pop.com.sg/polynomial-function-given-roots-and-a-point.htmlFame Craze Newsen2026-08-18T19:11:17-04:00Polynomial Function given roots and a pointhttps://pop.com.sg/how-to-find-the-transition-matrix-for-ordered-basis-of-2x2-diagonal-ma.htmlFame Craze Newsen2026-08-18T19:08:21-04:00How to find the transition matrix for ordered basis of 2x2 diagonal matriceshttps://pop.com.sg/what-does-inversion-mean.htmlFame Craze Newsen2026-08-18T19:07:40-04:00What does inversion mean?https://pop.com.sg/why-does-a-flat-finite-type-morphism-of-irreducible-noetherian-schemes.htmlFame Craze Newsen2026-08-18T19:04:30-04:00Why does a flat finite type morphism of irreducible noetherian schemes map generic pt to generic pthttps://pop.com.sg/let-f-k-be-two-fields-f-subset-k-and-suppose-f-x-g-x-in-f-x-are-relati.htmlFame Craze Newsen2026-08-18T19:04:24-04:00Let $F,K$ be two fields $F \subset K$ and suppose $f(x),g(x) \in F[x]$ are relatively prime in $F[x].$ Prove they are relatively prime in $K[x].$https://pop.com.sg/four-men-hats-and-probability.htmlFame Craze Newsen2026-08-18T19:04:10-04:00Four men, hats and probabilityhttps://pop.com.sg/finding-polynomal-function-with-given-zeros-and-one-zero-is-a-square-r.htmlFame Craze Newsen2026-08-18T19:03:24-04:00Finding polynomal function with given zeros and one zero is a square roothttps://pop.com.sg/what-is-the-domain-of-z-arcsin-dfrac-x-y.htmlFame Craze Newsen2026-08-18T19:02:19-04:00What is the domain of $z=\arcsin\dfrac{x}{y}$?https://pop.com.sg/difference-between-variance-and-covariance.htmlFame Craze Newsen2026-08-18T18:54:23-04:00difference between variance and covariancehttps://pop.com.sg/area-of-intersection-between-two-circles-duplicate.htmlFame Craze Newsen2026-08-18T18:51:26-04:00Area of intersection between two circles [duplicate]https://pop.com.sg/how-does-one-prove-rodrigues-039-formula-for-legendre-polynomials.htmlFame Craze Newsen2026-08-18T18:44:45-04:00How does one prove Rodrigues' formula for Legendre Polynomials?https://pop.com.sg/what-algebraic-topology-book-to-read-after-hatcher-039-s.htmlFame Craze Newsen2026-08-18T18:38:16-04:00What algebraic topology book to read after Hatcher's?https://pop.com.sg/finding-magnitude-of-a-function.htmlFame Craze Newsen2026-08-18T18:29:02-04:00Finding magnitude of a functionhttps://pop.com.sg/swing-twist-decomposition-for-quaternion-rotations-verification.htmlFame Craze Newsen2026-08-18T18:15:28-04:00Swing-Twist decomposition for quaternion rotations (verification)https://pop.com.sg/what-is-the-maximum-norm-induced-by-the-maximum-norm-for-mathbb-r-n.htmlFame Craze Newsen2026-08-18T18:10:31-04:00What is the maximum norm induced by the maximum norm for $\mathbb{R}^n$?https://pop.com.sg/how-is-the-joint-proportionality-joint-variation-equation-i-e-y-kxz-lo.htmlFame Craze Newsen2026-08-18T18:10:19-04:00How is the joint proportionality (joint variation) equation (i.e. $y = kxz$) logically correct?https://pop.com.sg/does-the-series-sum-frac-1-n-ln-n-3-2-converge-or-diverge.htmlFame Craze Newsen2026-08-18T18:03:03-04:00Does the series $\sum \frac{1}{n\ (\ln(n))^{3/2}}$ converge or diverge?https://pop.com.sg/derivative-of-arcsin-x-in-1.htmlFame Craze Newsen2026-08-18T18:01:01-04:00Derivative of $\arcsin(x)$ in $-1$https://pop.com.sg/rolling-a-fair-die.htmlFame Craze Newsen2026-08-18T18:00:25-04:00Rolling a fair diehttps://pop.com.sg/find-the-area-common-to-the-inside-of-the-cardioid-r-1-sin-theta-and-t.htmlFame Craze Newsen2026-08-18T18:00:14-04:00Find the area common to the inside of the cardioid $r = 1+\sin \theta$ and the outside of the cardioid $r = 1 + \cos \theta$.https://pop.com.sg/prove-sinh-x-x-for-all-x-0.htmlFame Craze Newsen2026-08-18T17:57:25-04:00Prove $\sinh x > x$ for all $x >0$https://pop.com.sg/find-arcsin-frac-4-5-arccos-frac-1-sqrt-50.htmlFame Craze Newsen2026-08-18T17:55:25-04:00Find $\arcsin(\frac{4}{5})+\arccos(\frac{1}{\sqrt{50}})$https://pop.com.sg/property-of-a-kite-inscribed-in-a-square.htmlFame Craze Newsen2026-08-18T17:41:45-04:00Property of a kite inscribed in a squarehttps://pop.com.sg/what-distinguishes-039-family-039-vs-039-set-039-of-functions.htmlFame Craze Newsen2026-08-18T17:41:18-04:00What distinguishes 'family' vs. 'set' of functions?https://pop.com.sg/a-question-about-irreducible-representations-of-so-3-group.htmlFame Craze Newsen2026-08-18T17:34:26-04:00A question about irreducible representations of SO(3) grouphttps://pop.com.sg/evaluating-int-2x-2-1-e-x-2-dx.htmlFame Craze Newsen2026-08-18T17:18:29-04:00Evaluating $\int(2x^2+1)e^{x^2}dx$https://pop.com.sg/pentation-notation-how-does-it-work-duplicate.htmlFame Craze Newsen2026-08-18T17:10:43-04:00Pentation Notation - How does it work? [duplicate]https://pop.com.sg/is-there-a-way-to-solve-an-equation-with-both-sine-and-cosine-in-it.htmlFame Craze Newsen2026-08-18T17:06:23-04:00Is there a way to solve an equation with both Sine and Cosine in it?https://pop.com.sg/what-is-the-difference-between-a-unit-simplex-and-a-probability-simple.htmlFame Craze Newsen2026-08-18T16:57:16-04:00What is the difference between a unit simplex and a probability simplex?https://pop.com.sg/solving-ax-b-when-x-and-b-are-given.htmlFame Craze Newsen2026-08-18T16:55:53-04:00Solving $Ax=b$ when $x$ and $b$ are given.https://pop.com.sg/calculate-average-wind-direction.htmlFame Craze Newsen2026-08-18T16:51:40-04:00Calculate average wind directionhttps://pop.com.sg/finding-final-velocity-when-initial-velocity-distance-travelled-and-ac.htmlFame Craze Newsen2026-08-18T16:45:33-04:00Finding final velocity when initial velocity, distance travelled and acceleration are known?https://pop.com.sg/trapezium-midsegment-theorem.htmlFame Craze Newsen2026-08-18T16:35:48-04:00Trapezium Midsegment Theoremhttps://pop.com.sg/what-does-round-off-error-in-double-arithmetic-mean.htmlFame Craze Newsen2026-08-18T16:32:15-04:00What does round-off error in double arithmetic mean?https://pop.com.sg/given-a-number-039-n-039-find-how-many-how-many-numbers-are-there-betw.htmlFame Craze Newsen2026-08-18T16:25:05-04:00Given a number '$N$' find how many how many numbers are there between $1$ to $N$ that doesn't contain the digit $3$?https://pop.com.sg/given-that-the-customer-has-filed-a-claim-what-is-the-probability-that.htmlFame Craze Newsen2026-08-18T16:22:15-04:00Given that the customer has filed a claim, what is the probability that the customer is a good riskhttps://pop.com.sg/what-does-3-3-mean.htmlFame Craze Newsen2026-08-18T16:20:43-04:00What does $ ^3 3$ mean?https://pop.com.sg/which-of-the-following-expressions-completes-the-identity-1-sec-2-x.htmlFame Craze Newsen2026-08-18T16:15:22-04:00Which of the following expressions completes the identity 1 + sec^2 x?https://pop.com.sg/gale-stewart-theorem-open-games-are-determined-implies-closed-games-ar.htmlFame Craze Newsen2026-08-18T16:11:28-04:00Gale-Stewart Theorem (open games are determined) implies closed games are determinedhttps://pop.com.sg/how-to-factor-a-four-term-polynomial-without-grouping.htmlFame Craze Newsen2026-08-18T16:08:51-04:00How to factor a four term polynomial without grouping?https://pop.com.sg/rotate-graph-of-function-by-180.htmlFame Craze Newsen2026-08-18T16:08:12-04:00rotate graph of function by 180https://pop.com.sg/what-is-the-geodesic-between-a-point-and-a-line-geodesic-between-two-p.htmlFame Craze Newsen2026-08-18T16:03:32-04:00What is the geodesic between a point and a line (geodesic between two points) on an oblate spheroid?https://pop.com.sg/find-the-least-positive-value-of-alpha-for-the-following-trignometric-.htmlFame Craze Newsen2026-08-18T15:59:49-04:00Find the least positive value of alpha for the following trignometric equationhttps://pop.com.sg/how-to-calculate-the-area-of-a-parabolic-dish.htmlFame Craze Newsen2026-08-18T15:54:20-04:00How to calculate the area of a parabolic dishhttps://pop.com.sg/high-dimensional-optimization-algorithm.htmlFame Craze Newsen2026-08-18T15:50:30-04:00High Dimensional Optimization Algorithm?https://pop.com.sg/find-a-formula-for-the-area-of-the-triangle-with-vertices-in-polar-coo.htmlFame Craze Newsen2026-08-18T15:47:54-04:00Find a formula for the area of the triangle with vertices (in polar coordinates) $(r_1,\theta_1)$, $(r_2, \theta_2)$, and $(r_3,\theta_3)$.https://pop.com.sg/defining-a-plane-using-only-2-points-and-an-axis.htmlFame Craze Newsen2026-08-18T15:43:06-04:00Defining a plane using only 2 points (and an axis)https://pop.com.sg/for-how-many-natural-numbers-a-is-the-expression-sqrt-frac-a-64-a-64-a.htmlFame Craze Newsen2026-08-18T15:39:21-04:00For how many natural numbers $a$ is the expression $\sqrt{\frac{a+64}{a-64}}$ also a natural number? [closed]https://pop.com.sg/how-to-find-the-length-of-diagonal-of-a-rhombus.htmlFame Craze Newsen2026-08-18T15:36:28-04:00How to find the length of diagonal of a rhombushttps://pop.com.sg/how-do-i-solve-this-square-root-problem.htmlFame Craze Newsen2026-08-18T15:31:40-04:00How do I solve this square root problem?https://pop.com.sg/extending-the-p-adic-valuation.htmlFame Craze Newsen2026-08-18T15:26:55-04:00Extending the p-adic valuationhttps://pop.com.sg/how-to-find-the-n-th-term-of-the-series-1-22-333-4444-55555.htmlFame Craze Newsen2026-08-18T15:22:57-04:00How to find the $n$-th term of the series 1, 22, 333, 4444, 55555..........?https://pop.com.sg/on-when-and-when-not-to-divide-by-tan-theta.htmlFame Craze Newsen2026-08-18T15:22:28-04:00On When And When Not To Divide By $\tan(\theta)$https://pop.com.sg/having-a-unique-solution-for-a-rectangular-matrix.htmlFame Craze Newsen2026-08-18T15:18:55-04:00Having a unique solution for a rectangular matrixhttps://pop.com.sg/how-or-why-are-implicit-functions-actually-functions.htmlFame Craze Newsen2026-08-18T15:13:54-04:00How or why are implicit functions actually functions?