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Implied proportionality

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#functions
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Smallest Harshad base

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#sequences-and-series #prime-numbers #decimal-expansion
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Inverse of a sum of 2 matrices

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#linear-algebra #matrices #inverse
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How to estimate a linear function in $\mathbb R$, given rounded linearly spaced measurements?

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#calculus #probability #discrete-mathematics #soft-question #estimation
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Analysis of the Pauli equation coupled to Poisson equations for the potentials

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#reference-request #partial-differential-equations #parabolic-pde
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A strictly incresing or decresing function that the Domain and Image are intervals is a continuous function?

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#calculus #continuity
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Let $X_t=\int_0^t f(X_s)ds+W_t$ where $f$ is continuous. Why $X\in W^{1,2}$?

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#stochastic-processes #stochastic-calculus
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Finding a bound on a sequence defined as ratios of the Fibonacci sequence

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#real-analysis #sequences-and-series
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How to calculate this derivate using the chain rule

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#derivatives #chain-rule
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Convergence of a sequence of roots

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#sequences-and-series #functions
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How to show $V$ is an open subset of $NM$?

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#manifolds #smooth-manifolds
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Prove an equivalence of asymptotic formulas

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#asymptotics
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Difference of matrix inverses into a product

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#matrices
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How many different combinations can be put to decorate the room?

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#combinatorics
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In $x_\varepsilon (t)=\varepsilon t+O(\varepsilon ^2)$ does the rest depend on $t$?

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#real-analysis

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