calcul – Fresnel integral improper $ int_0 ^ infty sin (x ^ 2) dx $ question

I found an example of an inappropriate Fresnel Integral $ int_0 ^ infty sin (x ^ 2) dx $ calculation. He uses several substitutions. The next substitution is not clear to me.

I did not understand how to get the right side of the left side. What subtitling is done here?

$$ int_0 ^ infty frac {v ^ 2} {1 + v ^ 4} dv = frac {1} {2} int_0 ^ infty frac {1 + u ^ 2} {1 + u ^ 4} of. $$

magento2 – Magento 2 connection to Shipworks failed

Magento 2.3.1 can not connect to Shipworks via the REST API. The error that this gives is

The remote server returned an error: (401) not allowed.

When traced with Fiddler, the result is

{"message": "The consumer is not allowed to access% resources.", "settings": {"resources": "Magento_Sales :: actions_view"}, "trace": "# 0 / home / buyglasswoodstov / public_html / provider / magento / module-webapi / Controller / Rest / RequestValidator.php (68):

I've tried reading Magento Docs but I'm not very familiar with the REST API. Any help would be appreciated. Thank you!

magento2 – Best practices / methods to add 100,000 products in Magento 2?

I must add 100,000 products by the end of this week. Most of them are simple products, but 30% are configurable and each have 8 single products, for a total of 100,000 units.

I used Magmi (in Mage 1), which worked pretty well to import CSV files, but without an updated version for Mage 2, it seems like most people use the default import feature of the administrator. But is there a better extension that shop owners use? I have done unsuccessful research in the hope of finding a direction.

Finally, is it recommended to add products programmatically? I would prefer to go this route because I know PHP well but I'm still a little new to Magento. Can experienced store owners / developers give me advice on how best to add 100,000 products with best practices in mind? Thank you

lebesgue measure – Convergence of $ f_n (x) = left ( frac {3 ^ {x / n} + e ^ {x / n}} {2} right) ^ {- n} $

I'm given the sequence $ f_n:[0infty)to$mathbbR[0infty)to$mathbbR[0infty)tomathbbR$[0infty)tomathbbR$ such as
$$ f_n (x) = left ( frac {3 ^ {x / n} + e ^ {x / n}} {2} right) ^ {- n} $$
and I am asked to discuss its convergence almost everywhere with w.r.t. the standard measure of Lebesgue on $[0infty)$[0infty)$[0infty)$[0infty)$ and find its limiting function. I found two ways to rewrite $ f_n (x) $: one using the binomial theorem,
$$ f_n (x) = left[ frac{e^x}{2^n} sum_{k=0}^n binom n k e^{frac k n (ln 3 – 1) x} right]^ {- 1}; $$
the other by developing the exponentials in their respective Maclaurin series,
$$ f_n (x) = left[ sum_{k=0}^infty frac{1-ln^k3}{2 n^k k!} x^k right]^ {- n}; $$
however, none of these rewrites helped me get closer to finding $ f = lim_ {n to infty} f_n $. Allusions?

differential topology – Symplectomorphisms of $ D ^ 2 $ compactly supported

I'm trying to understand a more basic version of Gromov's theorem on symplectomorphisms with compact support $ D ^ 2 times D ^ 2 $ to be contractible.

Consider the dimensional disk $ D ^ 2 subset mathbb {R} ^ 2 $. Let $ omega_0 $ to be the standard symplectic form on $ mathbb {R} ^ 2 $. Let $ omega $ to be a symplectic form (not necessarily linear) on $ D ^ 2 $ such as $ omega = omega_0 $ in some neighborhoods $ U $ of $ partial D ^ 2 $. Let $ Symp _ { partial D ^ 2} (D ^ 2, omega) $ denotes the space of symplectomorphisms of $ (D ^ 2, omega) $ which equals the identity on $ U $.

Is it true that $ Symp _ { partial D ^ 2} (D ^ 2, omega) $ is contractible?

My attempt so far has been to find that by compactifiant $ D ^ 2 $ at $ S ^ 2 $such a symplectomorphism would define a diffeomorphism preserving the volume of $ S ^ 2 $ who is the identity close "$ infty $How to show that this space of diffeomorphisms is contractible? A variant of Smale's argument about Diff ($ S ^ 2 $) retract to $ SO (3) $ work here?

magento2 – Questions about Varnish and magento 2

Varnish openly does not support HTTPS, more about it can be found here

There are many highly documented pages on Magento2 and Varnish, as well as on the Varnish configuration for Magento2 here.

The most common approach is to use a reverse proxy that introduces a "front-end server" that communicates with the Internet over HTTPS and forwards calls to the "work server" over HTTP, and then returns the retrieved result to the client.

Data Synchronization – How to keep 2 folders synchronized in real time?

I would like to keep backing up Keybase data files on my local computer with some kind of real-time file synchronization solution.

Each time you open Keybase, all local files are synchronized in the folder associated with Keybase, and vice versa.

What are the current open source solutions that can achieve this goal?

Thank you

How to pass 2 parameters via a link with html and php

then my doubt is as follows; I wish to transmit 2 parameters via a link, but I have doubts about it. Can someone explain me how I can achieve it? I'm going to give you an example.

<a href = "Shopping cart PT-BR.php? action = add & id ="class =" btn btn-danger ">    Buy now

This is the link I want to send 2 parameters, as you can only see one that is action = add & id =. I want to send another 1 which would be the idusuario, how can I do? obg of attention.

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BlackHatKings: cryptographic speculation and investment
Posted by: Jamesreimb
Post time: June 23, 2019 at 13:09.