air india – Student Baggage Policy Extension to Delta Airline

I am a student from India travelling with below itinerary on a single PNR.

  • New Delhi India to New York USA – Air India 101
  • New York USA to Jacksonville USA – Delta Airline 1420

Air India allows one free additional check-in baggage for students upon showing the student visa at the departure airport. Can I use this benefit for Delta Airline leg as well or do I need to pay for the additional baggage?

measure theory – Show that $m(Bsetminus A) > delta$ for $A subset E subset B$ if $E$ is not necessarily the Lebesgue set

Let $(mathbb{R}^n, mathcal{L}, m)$ denote the Lebesgue measure space ($mathcal{L}$ is the Lebesgue $sigma$-algebra and $m$ is the Lebesgue measure). Let $E in mathbb{R}^n$ and $E notin mathcal{L}$. Show that there exists $delta >0$ such that for any two sets $A, B in mathcal{L}$ which are such that $A subset E subset B$, then $m(Bsetminus A) > delta$.

It does not seem that hard, but I was stuck in the above question. Can someone enlighten me on this?

Reference of delta function as a measure

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integration – Dirac Delta in two dimensions

I would like to compute the following two dimensional integral :
$$intint f(vec{x})delta(mid vec{x}mid -v)dvec{x}$$
$$f(vec{v})=Bigg(frac{m}{2pi k_BT}Bigg)^{3/2}exp{Big(frac{-mv^2}{2k_BT}Big)}$$
where $f$ is a smooth function.
I absolutely don’t know how to deal with such integrals, and I don’t have any knowledge (expect the defintion) of the Dirac Delta function in higher dimensions.

How to calculate delta Q (modularity increase matrix) in graphs?

I’ve been trying to implement the Three-stage Algorithm to compare its results with our new proposed algorithm with different datasets than those mentioned in the article. I’ve succeeded in implementing the first two stages.

The third stage, however, is what I couldn’t understand. To be precise, I couldn’t understand how the ΔQ matrix is computed. There was no mention of its equation in the article:

A screenshot from the article:

enter image description here

I’ve contacted one of the co-authors of this paper it’s been almost two weeks but they didn’t reply.

Is the third stage the same as the Louvain method?
I’ve found different equations on the internet but they all belonged to the Louvain method.

lightning network – Should the nodes of a channel have the same Time Lock Delta?

An HTLC passing from node 1 (here Caffeine) to node 2 (here HODLcat.com) will be added a 144 blocks time-lock.

An HTLC passing from node 2 (here HODLcat.com) to node 1 (here Caffeine) will be added a 10 blocks time-lock.

The channel operation does not depend of the CLTV deltas, it really is a pure personal setting as it defines the time a forwarding node has to redeem an HTLC on-chain in case it gets timed out down the route and your peer becomes unresponsive.

However, wallets take it into account when computing routes as they sum up along the route and determine how many blocks funds of the end-payer may be stuck in a worst-case scenario.

You can find more details in the specification (it’s called cltv_expiry_delta), which gives a really detailed explanation and some recommendations which have been updated lately with the discovery of the recent attacks.

Reducing the Kronecker Delta – Mathematics Stack Exchange

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Evaluating a kronecker delta product

Say I have a product, $sum_{n=0}^{+infty} sum_{k=0}^{+infty}q_{n}r_{k}delta_{n-1,k-1}$. How do I evaluate this?

I’ve tried opening up the $n$ summation, which gives me, $sum_{k=0}^{+infty} left( q_{0} r_{k} delta_{-1, k-1} + q_{1} delta_{0, k – 1} + cdots right)$. I’m at a loss as to how to proceed further.

Any help would be highly appreciated.