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What are some "deep" questions to explore in elementary school math?

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#intuition
151
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Chinese remainder theorem, how does one justify the existence of the solution, without intuiting it?

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#elementary-number-theory #modular-arithmetic #intuition #chinese-remainder-theorem
22
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What is the resulting plane of $plane_1 = plane_2$ intuitively

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#intuition #plane-geometry
42
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How to know the area of the rectangles is less than or greater than the integral for an integral test

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#real-analysis #sequences-and-series #intuition
40
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Doubt related to weakly stationary stochastic processes.

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#stochastic-processes #definition #intuition #correlation #stationary-processes
49
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Is the Weierstrass function strictly non-monotonic across every interval?

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#derivatives #intuition #fractals
77
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Domain of an ODE

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#calculus #ordinary-differential-equations #derivatives #intuition
61
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Where does the differential come from when passing from a discrete sum to a continuous case, for instance for the case of the inner product?

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#calculus #inner-products #intuition #riemann-sum
149
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Pulling back a differential form.

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#differential-geometry #intuition #change-of-variable #motivation
13
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Why does the quantile function of bivariate normal variables become non-elementary in one dimension?

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#intuition #error-function #quantile-function
85
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What's the other way to think about SE2 and SE3? My brain only seems to go one way

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#intuition #transformation #isometry
28
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Intuitive understanding behind clamping of B-splines

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#intuition #spline
95
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Interpreting Galois theory: symmetry of i and -i, symmetry of $\sqrt{2}$ and $-\sqrt{2}$

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#field-theory #galois-theory #intuition
447
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Why is the probability that two random chords intersect $2/3$?

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#probability #geometry #circles #intuition
25
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intuitive explanation/derivation of likelihood function for logistic regression

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#intuition #maximum-likelihood #logistic-regression

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