Algorithms: minimum route coverage in a directed acyclic graph

Given a weighted directed acyclic graph G = (V, D, W) and a set of arches RE & # 39; of rewhere the weights of W They are at the vertices. The problem is partitioning Sun on a minimum number of paths separated from vertices that cover all vertices of Sun subject to restrictions that:

  1. the weight of each route is maximum k.
  2. each route must include at least one edge of D & # 39;

What is the complexity of this problem?

Jacoco API code coverage integration test

Does Jacoco provide code coverage for API integration tests? That is, I have an instance of my application running locally and I have integration tests where I hit an API offered by my running application instance. In this scenario, can I use Jacoco to get how many lines of my running application instance were covered when integration tests were run?

I have already tested the agents integration and report integration objectives of the Jacoven Maven addon. But they give a code coverage like 0. I think it's because jacoco only measures the code coverage of the currently executed instance and not the instance whose API is affected.

database design: determining the minimum coverage of a relationship

I have trouble understanding why a certain set of functional dependencies is not minimal.
We have a relationship R(A,B,C,D,E,F,G) with the following dependencies F:

1. A->CDE
2. B->FG
3. AB->CDEFG

The minimum coverage of F is only dependency 1 and 2. It is intuitive that the CDEFG attributes are already determined by A and B separately. Therefore, no new attribute is determined by the union of AB. Is there an exact rule that determines that said dependency (AB-> CDEFG union) is redundant?

seo – Mark coverage issue as resolved

After sending my sitemap.xml URL to the Search Console, I receive emails about a "coverage issue" and that example.com/sitemap.html It has a non-tracking goal in it.

I imagine that the WordPress plugin I used has something that generates a .html site map as well as a .xml, which is fine, and it makes sense that this page has no tracking. But in Search Console, I do not see anyway that indicates that this page does not need to be indexed and that this is not a problem.

How can I mark this problem as solved?

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dg differential geometry: effect of expansion in coverage number

Leave $ mathcal {M} = {X in mathbb {R} ^ {n times r}: | X ^ TX | _ {op} leq 1 } $ where $ | | op it is the norm of the operator $ r <n $. For any given unit vector $ v in mathbb {R} ^ r $, we define the following function $ f_v: mathcal {M} a B ^ n $ where $ B ^ n $ is the unitary ball centered on the origin in $ mathbb {R} ^ n $ as:
$$ f_v (X) = (X odot X) v in B ^ n $$
where $ odot $ It is the Hadamard product.

Leave $ S n-1 be the sphere of unity centered on the origin in $ mathbb {R} ^ n $ and define
$$ A_t = {x in B ^ n: d (x, S ^ {n-1}) leq t } $$
where $ 0 <t <1 $ Y $ d (x, S n-1) $ It is defined as the Euclidean distance between $ x $ and the sphere of unity.

Suppose we have a set of finite covers $ C_t ( delta) subset f_v ^ {- 1} (A_t) $ in the sense that for any $ X in f_v ^ {-1} (A_t) $, exists $ tilde {X} in C_t ( delta) $ such that $ | X- tilde {X} | _F leq delta $ where $ | | _F $ It is the norm of Frobenius.

Now, if we want to cover a dilated set $ f_v ^ 1 (A_ {2t}) $Can we build a coverage set of $ f_v ^ 1 (A_ {2t}) $ as $ C_ {2t} ( alpha delta) $ such that $ | C_ {2t} ( alpha delta) | = | C_t ( delta) | $ Y $ alpha $ Is it an absolute constant, for example 2?

The main point is to maintain the cardinality of the two covering the same, but allowing the coverage radius to be extended by some multiple of the original radius.

algebraic topology: there is a coverage space in $ Bbb R ^ 3 $ if there is an $ M_g $ embedding of the 3-bull that induces an overlap

I want to show the following statement:

For a closed adjustable surface $ M_g $ of genre $ g $, there is a normal (regular) coverage space connected to the route $ tilde X $ of $ M_g $ in $ Bbb R ^ 3 $ with the isomorph mallet transformation group a $ Bbb Z ^ 3 $ if there is an inlay of $ M_g $ to 3 bull $ T ^ 3 = S ^ 1 times S ^ 1 times S ^ 1 $ such that the induced map is surjective.

First, it was easy to show that there is an inlay $ M_g a T ^ 3 $ ; the map $ tilde X to Bbb R ^ 3 to Bbb R ^ 3 / Bbb Z ^ 3 = T ^ 3 $ (the first map is inclusive and the second is the quotient map) induces the embedding of $ M_g $ to $ T ^ 3 $. However, I am stuck showing that induced homomorphism is overjective.

On the other hand, I have no idea to show otherwise. How I should proceed? Some clue?

Note. This is from Hatcher's algebraic topology, exercise 1.3.19:
http://pi.math.cornell.edu/~hatcher/AT/AT.pdf

google – Index coverage status: "Sent and indexed", except that it is not

A couple of months ago, I created a new property in Google Search Console. We all know: Google takes its time and patiently waited, I checked from time to time, until the status of my sites was updated to:

Sent and indexed

Great, I thought, and double checked writing site:www.chor-cantissimo.com on Google However, no search entry appeared. So I check three times by typing the URL without site: and writing several keywords. No entry appeared.

Then I checked if it was somehow blocked by the robot.txt which, of course, made no sense anyway since the sites were crawled and "indexed" (at least their state said so).

Just to be 100% sure, I also used the URL inspection tool and this is what it spits:

Well, he also said that the page was indexed, optimized for mobile devices, blablabla. But one thing was not right. There is no site map available. This makes it even more strange since I have sent a site map and all the pages are valid:

On the same site he also confirmed again that my pages should be indexed:

(Don't worry about the excluded, it has nothing to do with that).

So how is it that all my subpages, as well as my homepage, (so all pages) are indexed, but not indexed?

Why do terrorist groups like Antifa get very little media coverage?

In the 1990s, the PC movement was kidnapped by Bill Clinton's supporters based on feelings and went from being considered to dictating what was "appropriate" …

at that time, cities like DC, Detroit and Baltimore were competing against each other for the title "Capital of the murder of America" ​​… the first 10 minutes of the 6 o'clock news every night was dedicated to the counting of bodies … with the vast majority of crimes that occur in minority neighborhoods …

Clinton and his people complained that such programming "reinforced negative stereotypes" and urged news publishers to consider more "positive" content … not wanting to appear "racist" or asserting racist beliefs, many news programs changed their Reporting practices

Then, playing with people's fears of being called "racist," Clinton and his followers successfully changed the ethics of the media … from now on, the editors not only considered the journalistic interest of a story. , but also what "messages" could be reinforced with it. ..

If you realize, that tactic is still very much alive today … with the net result as a means driven by an "approved narrative" rather than by any sense of responsibility towards honest and accurate reports.

.

Numerical integration: how to solve problems of slow coverage and very oscillating integration?

I am trying to numerically solve an integral in a specific region and then visualize it as follows.

RegionPlot3D(
 NIntegrate(1/Sqrt(r) - 1/Sqrt(l + r Sin(t)), {r, l, t} ∈
  ImplicitRegion(r + l Sin(t) > 0 && l > 0 && r > 0, {r, l, t})), {r, 
  0, 5}, {l, 0, 10}, {t, 0, pi/4})

However, Mathematica complains that

NIntegrate::slwcon: Numerical integration that converges very slowly; suspect
of the following: singularity, the value of integration is 0, highly
integrating oscillatory, or WorkingPrecision too small.

Basically I tried to get rid of the potential singularities considering that region of specific integration. However, I have no idea about the slow convergence of highly oscillatory integrating.

Edit 1: There is also another warning that says

NIntegrate :: ncvb: NIntegrate could not converge to the prescribed accuracy
after 27 recursive bisections in l near {r, l, t} =
{0.184661,1.641681647898248 * 10 ^ 690538901,0.184661}. NIntegrate
obtained 8.935806122974667 * 10 ^ 22717757165 + 31581.2 I and
2.096578395728379`15.954589770191005 * ^ 22717757166 for comprehensive and error estimates.

How can I solve these problems?

Edit 2: What I'm really looking for is the 3D plot corresponding to the following integral function F(l,theta) where r It is a fixed number (say, 10 or whatever). I am particularly in trouble to get rid of the singularities and divergent subsets of the domains of the variable.

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Explorer: Does a creature have coverage when it moves through an allied space?

We do not know

I have seen that this has been asked several times on Paizo's message boards (recently, here), and that is a question that no developer has dared to address. The rules are vague and you could interpret it both ways. Given that everyone focuses on a second edition of the game, I don't think we'll ever get an answer (but could prove to me that I'm wrong).

My personal opinion is that do not, do not gain coverage. By the way you define whether a creature has coverage:

To determine if your target is covered by your ranged attack, choose a corner of your box. If any line from this corner to any corner of the target's square passes through a square or border that blocks the line of effect or provides coverage, or through a square occupied by a creature, the target has coverage (+4 BC).

If this line does not pass through the square simply touches the square, then the creature will not gain the benefit of the cover.