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$\dfrac{1}{2d}\mathbb{E}N(x_{i}) \leq N(x^\prime_{i}) \leq \mathbb{E} N(x_{i})$.

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#real-analysis #probability #sequences-and-series #probability-theory #expected-value
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Centered family in a Boolean algebra

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#definition #first-order-logic
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If $\int_Uf(x,z)dz$ and $\int_Ug(z,y)dz$ are finite, is $\int_Uf(x,z)g(z,y)dz$ finite for all $x,y\in U$?

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#calculus
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Do we have rings for which $(I:a)=(0:a)$ or for which $(I:a)\cong(0:a)?$

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#ring-theory #modules
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Spanning of Linear Mappings

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#linear-algebra
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oscillation of Hamiltonian functions

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#real-analysis #calculus
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Confusion concerning solution to linear autonomous system

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#ordinary-differential-equations #matrix-exponential
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Trying to solve for n for this complex equation ∥Sn−α∥<ϵ where Sn=(2n+i^n)/n

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#complex-analysis
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Convergence to 0 of product of $1-U_n$

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#sequences-and-series
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Examples where estimating the derivative is easier than estimating the actual quantity.

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#calculus #soft-question #parameter-estimation
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Fast |AB|x computation

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#linear-algebra #matrices
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How many light bulbs should be in stock

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#probability-distributions
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Finding the max of profit

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#calculus #economics
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Double integral in the area verification

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#integration #analysis
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Inequation / binomial formula

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#inequality

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