https://pop.com.sg/which-matrices-perform-dilation.htmlFame Craze Newsen2026-08-15T08:39:22-04:00Which matrices perform dilation?https://pop.com.sg/example-of-a-simple-pole.htmlFame Craze Newsen2026-08-15T08:23:02-04:00Example of a simple polehttps://pop.com.sg/rarefaction-wave-in-nonlinear-pde-u-t-u-3-2-x-0.htmlFame Craze Newsen2026-08-15T08:22:27-04:00Rarefaction Wave in nonlinear PDE $u_t + (u^{3/2})_x = 0$https://pop.com.sg/in-a-family-with-3-children-what-is-the-probability-that-they-have-2-b.htmlFame Craze Newsen2026-08-15T08:20:34-04:00In a family with 3 children, what is the probability that they have 2 boys and 1 girl?https://pop.com.sg/about-plus-minus-sign.htmlFame Craze Newsen2026-08-15T08:17:39-04:00About plus-minus signhttps://pop.com.sg/organic-chemistry-for-mathematicians.htmlFame Craze Newsen2026-08-15T08:11:17-04:00(Organic) Chemistry for Mathematicianshttps://pop.com.sg/find-t-v-using-the-standard-matrix-and-the-matrix-relative-to-b-and-b-.htmlFame Craze Newsen2026-08-15T08:07:26-04:00Find T(v) using the standard matrix and the matrix relative to B and B'https://pop.com.sg/finding-limit-of-a-sequence-defined-by-another-sequence.htmlFame Craze Newsen2026-08-15T08:07:04-04:00Finding limit of a sequence defined by another sequencehttps://pop.com.sg/how-does-a-floor-function-work.htmlFame Craze Newsen2026-08-15T08:01:40-04:00how does a floor function work?https://pop.com.sg/can-someone-prove-why-sqrt-ab-sqrt-a-sqrt-b-is-only-valid-when-a-and-b.htmlFame Craze Newsen2026-08-15T07:48:56-04:00Can someone prove why $\sqrt{ab}=\sqrt{a}\sqrt{b}$ is only valid when a and b are positive?https://pop.com.sg/inversion-formula-for-the-abel-transform.htmlFame Craze Newsen2026-08-15T07:36:32-04:00Inversion formula for the Abel transformhttps://pop.com.sg/is-there-a-definition-of-a-pseudo-period-for-f-x-sin-3x-sin-pi-x.htmlFame Craze Newsen2026-08-15T07:34:18-04:00Is there a definition of a "pseudo period" for $f(x)=\sin(3x)+\sin(\pi x)$?https://pop.com.sg/derivative-of-x-mapsto-x-sin-y-x.htmlFame Craze Newsen2026-08-15T07:25:09-04:00Derivative of $x\mapsto x \sin y(x)$.https://pop.com.sg/a-in-b-vs-a-subset-b-for-proofs.htmlFame Craze Newsen2026-08-15T07:09:43-04:00$A \in B$ vs. $A \subset B$ for proofshttps://pop.com.sg/int-0-infty-sin-ax-sin-bx-dx.htmlFame Craze Newsen2026-08-15T07:03:24-04:00$\int_0^{+\infty}{ \sin{(ax)} \sin{(bx)}}dx=?$https://pop.com.sg/proof-of-descartes-039-theorem.htmlFame Craze Newsen2026-08-15T06:51:58-04:00Proof of Descartes' theoremhttps://pop.com.sg/anyone-familiar-with-a-mathematical-symbol-for-that-is-to-clarify-wher.htmlFame Craze Newsen2026-08-15T06:49:23-04:00Anyone familiar with a mathematical symbol for "that is" / "to clarify" / "whereby"?https://pop.com.sg/using-lagrange-multipliers-to-determine-the-point-on-a-surface-nearest.htmlFame Craze Newsen2026-08-15T06:48:57-04:00Using Lagrange Multipliers to determine the point on a surface nearest to Phttps://pop.com.sg/e-2x-e-x-2-can-some-one-explain-how-these-two-are-the-same-i-know-it-i.htmlFame Craze Newsen2026-08-15T06:27:47-04:00$ (e^{2x})=(e^x)^2$ Can Some one explain how these two are the same? I know it is trick, but I cannot see how it fits into the exponent rules.https://pop.com.sg/derivative-of-exponent.htmlFame Craze Newsen2026-08-15T06:18:49-04:00Derivative of exponenthttps://pop.com.sg/solving-sin-3-theta-1-2-on-the-interval-0-2-pi-i-don-039-t-understand-.htmlFame Craze Newsen2026-08-15T06:18:06-04:00Solving $\sin 3\theta=1/2$ on the interval $[0,2\pi]$. I don't understand where some solutions came from.https://pop.com.sg/problem-using-casio-fx-991ce-x-calculator-to-solve-e-i-pi-closed.htmlFame Craze Newsen2026-08-15T06:16:41-04:00Problem using Casio fx-991CE X calculator to solve "e^(i*pi)" [closed]https://pop.com.sg/finding-a-basis-for-w-perp-and-understanding-it.htmlFame Craze Newsen2026-08-15T06:15:49-04:00finding a basis for $W^\perp$ and understanding it.https://pop.com.sg/what-is-x-tx-called-where-x-is-a-matrix.htmlFame Craze Newsen2026-08-15T06:09:50-04:00What is $X^TX$ called where $X$ is a matrix?https://pop.com.sg/limit-with-fraction-in-numerator.htmlFame Craze Newsen2026-08-15T06:06:29-04:00Limit with fraction in numeratorhttps://pop.com.sg/calculate-the-dimension-of-the-vector-subspace-u-text-span-left-v-1-v-.htmlFame Craze Newsen2026-08-15T05:52:30-04:00Calculate the dimension of the vector subspace $U = \text{span}\left\{v_{1},v_{2},v_{3} \right\}$https://pop.com.sg/show-that-the-area-of-a-triangle-is-given-by-this-determinant.htmlFame Craze Newsen2026-08-15T05:48:33-04:00Show that the area of a triangle is given by this determinanthttps://pop.com.sg/continuity-correction-factor-adding-or-subtracting-0-5.htmlFame Craze Newsen2026-08-15T05:38:11-04:00Continuity correction factor adding or subtracting $0.5$?https://pop.com.sg/why-is-this-way-used-to-solve-for-base-10-to-base-16.htmlFame Craze Newsen2026-08-15T05:37:40-04:00Why is this way used to solve for base 10 to base $16$https://pop.com.sg/calculate-the-volume-a-trough-of-length-250cm-and-cross-sectional-area.htmlFame Craze Newsen2026-08-15T05:30:09-04:00Calculate the volume: A trough of length 250cm and cross-sectional area 40cm2https://pop.com.sg/i-i-d-what-does-this-stand-for.htmlFame Craze Newsen2026-08-15T05:11:28-04:00I.I.D what does this stand for?https://pop.com.sg/can-the-word-derive-be-used-to-mean-take-the-derivative-of.htmlFame Craze Newsen2026-08-15T05:07:00-04:00Can the word "derive" be used to mean "take the derivative of"?https://pop.com.sg/what-does-f-5-2-tell-me-about-f-x.htmlFame Craze Newsen2026-08-15T05:00:46-04:00What does f(-5)=-2 tell me about f(x)https://pop.com.sg/integration-and-calculating-the-area-under-a-trig-function.htmlFame Craze Newsen2026-08-15T05:00:01-04:00Integration and calculating the area under a trig functionhttps://pop.com.sg/square-fibonacci-numbers.htmlFame Craze Newsen2026-08-15T04:47:42-04:00Square Fibonacci numbershttps://pop.com.sg/what-does-cramer-039-s-theorem-tell-us.htmlFame Craze Newsen2026-08-15T04:39:34-04:00What does Cramer's Theorem tell us?https://pop.com.sg/prove-that-three-points-lie-on-a-semicircle.htmlFame Craze Newsen2026-08-15T04:38:52-04:00Prove that three points lie on a semicirclehttps://pop.com.sg/finding-the-nth-derivative-of-y-e-ax-b.htmlFame Craze Newsen2026-08-15T04:36:25-04:00Finding the nth derivative of $y=e^{ax+b}$https://pop.com.sg/there-is-no-set-of-all-sets.htmlFame Craze Newsen2026-08-15T04:36:16-04:00There is no set of all sets..https://pop.com.sg/stokes-039-theorem-with-a-sphere.htmlFame Craze Newsen2026-08-15T04:34:03-04:00Stokes' Theorem with a spherehttps://pop.com.sg/what-does-the-graph-of-a-norm-look-like.htmlFame Craze Newsen2026-08-15T04:31:49-04:00What does the graph of a norm look likehttps://pop.com.sg/how-to-remember-the-trigonometric-identities.htmlFame Craze Newsen2026-08-15T04:29:18-04:00How to remember the trigonometric identitieshttps://pop.com.sg/proof-that-trace-of-039-hat-039-matrix-in-linear-regression-is-rank-of.htmlFame Craze Newsen2026-08-15T04:14:38-04:00Proof that trace of 'hat' matrix in linear regression is rank of Xhttps://pop.com.sg/how-to-factorise-x-2-x-1.htmlFame Craze Newsen2026-08-15T04:12:17-04:00How to factorise $x^2 + x - 1$?https://pop.com.sg/real-life-examples-for-eigenvalues-eigenvectors.htmlFame Craze Newsen2026-08-15T04:05:20-04:00Real life examples for eigenvalues / eigenvectorshttps://pop.com.sg/is-there-an-operator-for-adding-the-numerator-and-denominator-of-a-fra.htmlFame Craze Newsen2026-08-15T03:55:26-04:00Is there an operator for adding the numerator and denominator of a fraction separately?https://pop.com.sg/why-multiply-first.htmlFame Craze Newsen2026-08-15T03:52:12-04:00Why multiply first?https://pop.com.sg/how-to-find-the-volume-of-oblique-cone.htmlFame Craze Newsen2026-08-15T03:48:42-04:00How to find the volume of oblique conehttps://pop.com.sg/magnitude-of-a-vector-in-spherical-and-cylindrical-coordinates.htmlFame Craze Newsen2026-08-15T03:46:39-04:00Magnitude of a vector in spherical and cylindrical coordinateshttps://pop.com.sg/can-functions-have-multiple-inputs.htmlFame Craze Newsen2026-08-15T03:40:56-04:00Can functions have multiple inputs?https://pop.com.sg/nth-term-of-series-with-distinct-difference.htmlFame Craze Newsen2026-08-15T03:40:10-04:00Nth term of series with distinct differencehttps://pop.com.sg/how-do-irrational-numbers-lie-on-the-number-line.htmlFame Craze Newsen2026-08-15T03:35:38-04:00How do irrational numbers lie on the number line?https://pop.com.sg/determine-the-number-of-eigenvalues-in-mathbb-r.htmlFame Craze Newsen2026-08-15T03:31:04-04:00Determine the number of eigenvalues in $\mathbb R$https://pop.com.sg/what-does-number-of-carries-mean.htmlFame Craze Newsen2026-08-15T03:22:25-04:00what does "number of carries" mean?https://pop.com.sg/how-does-cos-pi-1.htmlFame Craze Newsen2026-08-15T02:56:38-04:00How does $\cos(\pi ) = -1$?https://pop.com.sg/normal-curvature-along-a-line-of-curvature.htmlFame Craze Newsen2026-08-15T02:49:49-04:00Normal curvature along a line of curvaturehttps://pop.com.sg/what-does-the-exclamation-mark-do.htmlFame Craze Newsen2026-08-15T02:39:18-04:00What does the exclamation mark do?https://pop.com.sg/cyclic-subgroup-of-s-n.htmlFame Craze Newsen2026-08-15T02:38:41-04:00Cyclic subgroup of $S_n$https://pop.com.sg/questions-tagged-number-theory.htmlFame Craze Newsen2026-08-15T02:38:20-04:00Questions tagged [number-theory] https://pop.com.sg/are-one-by-one-matrices-equivalent-to-scalars.htmlFame Craze Newsen2026-08-15T02:29:50-04:00Are one-by-one matrices equivalent to scalars?https://pop.com.sg/how-do-i-represent-an-equilateral-triangle-in-cartesian-coordinates-ce.htmlFame Craze Newsen2026-08-15T02:14:23-04:00How do I represent an equilateral triangle in cartesian coordinates centered around (0,0) knowing the length of one of the sideshttps://pop.com.sg/cartesian-products-and-sets.htmlFame Craze Newsen2026-08-15T02:12:59-04:00Cartesian products and setshttps://pop.com.sg/how-to-find-complex-eigenvectors-from-complex-eigenvalues.htmlFame Craze Newsen2026-08-15T02:08:02-04:00How to find complex eigenvectors from complex eigenvalues?https://pop.com.sg/how-to-express-an-angle-of-90-degrees-between-two-lines.htmlFame Craze Newsen2026-08-15T02:06:06-04:00How to express an angle of 90 degrees between two lines?https://pop.com.sg/deriving-mean-and-variance-of-laplace-distribution.htmlFame Craze Newsen2026-08-15T02:06:03-04:00Deriving Mean and Variance of Laplace Distributionhttps://pop.com.sg/trivial-and-non-trivial-closed.htmlFame Craze Newsen2026-08-15T01:58:58-04:00Trivial and non trivial. [closed]https://pop.com.sg/function-for-second-quadrant-in-unit-circle.htmlFame Craze Newsen2026-08-15T01:57:44-04:00function for second quadrant in unit circlehttps://pop.com.sg/why-does-the-imaginary-number-i-satisfy-i-times-0-0.htmlFame Craze Newsen2026-08-15T01:54:05-04:00Why does the imaginary number $i$ satisfy $i\times 0=0$?https://pop.com.sg/what-is-the-name-for-the-shape-formed-by-removing-a-square-from-the-co.htmlFame Craze Newsen2026-08-15T01:51:02-04:00What is the name for the shape formed by removing a square from the corner of a larger square?https://pop.com.sg/equation-of-a-circle-tangent-to-the-y-axis.htmlFame Craze Newsen2026-08-15T01:34:12-04:00Equation of a circle tangent to the $y$ axishttps://pop.com.sg/prove-that-every-convex-function-is-continuous.htmlFame Craze Newsen2026-08-15T01:31:13-04:00Prove that every convex function is continuoushttps://pop.com.sg/finding-integrating-factor-for-inexact-differential-equation.htmlFame Craze Newsen2026-08-15T01:31:11-04:00Finding integrating factor for inexact differential equation?https://pop.com.sg/finding-the-limit-of-a-piecewise-function.htmlFame Craze Newsen2026-08-15T01:27:49-04:00Finding the limit of a piecewise functionhttps://pop.com.sg/invertability-of-singular-2x2-matrix-with-all-same-real-values.htmlFame Craze Newsen2026-08-15T01:20:20-04:00Invertability of Singular 2x2 Matrix with all same real values.https://pop.com.sg/what-039-s-the-degree-of-a-multivariate-polynomial-in-artin-algebra.htmlFame Craze Newsen2026-08-15T01:16:33-04:00What's the degree of a multivariate polynomial in Artin Algebra?https://pop.com.sg/how-do-i-evaluate-this-integral-given-a-table-of-values-for-f-x-and-f-.htmlFame Craze Newsen2026-08-15T01:13:22-04:00How do I evaluate this integral, given a table of values for f(x) and f'(x)?https://pop.com.sg/can-different-quaternions-represent-the-same-orientation.htmlFame Craze Newsen2026-08-15T01:09:26-04:00Can different quaternions represent the same orientation?https://pop.com.sg/why-bbb-z-integers-is-an-integral-domain.htmlFame Craze Newsen2026-08-15T01:01:08-04:00Why $\Bbb Z$ = (integers) is an integral domain?https://pop.com.sg/proving-holder-039-s-inequality-for-sums.htmlFame Craze Newsen2026-08-15T00:58:52-04:00Proving Holder's inequality for sumshttps://pop.com.sg/how-to-graph-gradient-vector.htmlFame Craze Newsen2026-08-15T00:57:18-04:00How to graph gradient vector?https://pop.com.sg/decomposition-group-and-inertia-group.htmlFame Craze Newsen2026-08-15T00:53:33-04:00Decomposition group and inertia grouphttps://pop.com.sg/euler-path-for-directed-graph.htmlFame Craze Newsen2026-08-15T00:48:58-04:00Euler path for directed graph?https://pop.com.sg/depressed-cubic-roots.htmlFame Craze Newsen2026-08-15T00:48:11-04:00Depressed cubic rootshttps://pop.com.sg/how-to-self-study-topology.htmlFame Craze Newsen2026-08-15T00:43:29-04:00How to self study topology?https://pop.com.sg/proof-of-the-dirichlet-dini-criterion-for-pointwise-convergence-of-fou.htmlFame Craze Newsen2026-08-15T00:42:49-04:00Proof of the Dirichlet–Dini Criterion for Pointwise convergence of Fourier serieshttps://pop.com.sg/do-other-trigonometric-functions-than-tan-sin-cos-and-their-derivative.htmlFame Craze Newsen2026-08-15T00:42:26-04:00Do "other" trigonometric functions than Tan Sin Cos and their derivatives exist?https://pop.com.sg/definition-of-sheaf-using-equalizer.htmlFame Craze Newsen2026-08-15T00:36:42-04:00Definition of sheaf using equalizerhttps://pop.com.sg/questions-tagged-sequences-and-series.htmlFame Craze Newsen2026-08-15T00:25:17-04:00Questions tagged [sequences-and-series] https://pop.com.sg/solving-the-congruence-7x-3-1-mod-31.htmlFame Craze Newsen2026-08-15T00:21:55-04:00Solving the congruence $7x + 3 = 1 \mod 31$?https://pop.com.sg/finding-an-orthogonal-vector-by-inspection.htmlFame Craze Newsen2026-08-15T00:16:44-04:00Finding an orthogonal vector by inspectionhttps://pop.com.sg/will-this-be-equivalent-to-d-f-x-dx.htmlFame Craze Newsen2026-08-15T00:12:32-04:00Will this be equivalent to d(f(x))/dx?https://pop.com.sg/in-the-definition-of-k-partite-graph-is-it-necessary-that-k-should-be-.htmlFame Craze Newsen2026-08-15T00:12:03-04:00In the definition of k-partite graph, is it necessary that k should be minimum?https://pop.com.sg/definition-of-overlapping-sets.htmlFame Craze Newsen2026-08-14T23:50:30-04:00Definition of overlapping setshttps://pop.com.sg/what-039-s-the-chance-of-a-random-whole-number-between-1-999-having-th.htmlFame Craze Newsen2026-08-14T23:38:26-04:00What's the chance of a random whole number between 1-999 having the digit 9 in it? (or number of whole numbers with 9)https://pop.com.sg/using-exchange-argument-in-proving-greedy-algorithm.htmlFame Craze Newsen2026-08-14T23:38:26-04:00Using exchange argument in proving greedy algorithmhttps://pop.com.sg/negative-exponents-in-binomial-theorem.htmlFame Craze Newsen2026-08-14T23:30:10-04:00Negative Exponents in Binomial Theoremhttps://pop.com.sg/super-hard-system-of-equations.htmlFame Craze Newsen2026-08-14T23:29:49-04:00Super hard system of equationshttps://pop.com.sg/partial-fraction-decomp-why-repeated-factors-and-why-the-cx-d-for-quad.htmlFame Craze Newsen2026-08-14T23:15:20-04:00Partial Fraction Decomp. Why repeated factors. And why the (Cx+D) for quadratics? [duplicate]https://pop.com.sg/how-to-use-the-lagrange-039-s-remainder-to-prove-that-log-1-x-sum.htmlFame Craze Newsen2026-08-14T23:14:26-04:00How to use the Lagrange's remainder to prove that log(1+x) = sum(...)?https://pop.com.sg/number-of-ways-to-divide-n-people-into-k-groups-with-at-least-2-people.htmlFame Craze Newsen2026-08-14T23:07:34-04:00Number of ways to divide n people into k groups with at least 2 people in each group