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reopened(PRESERVE THE RIGHT TO CLOSE IF YOU ARE TOO LONG WITHOUT CLAIMS)

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Numerical Integration – Why would NIntegrate give this strictly positive integrand a negative value?

I can not say what Boole does inside the integral there, but if you break the 3 integrals one by one, you can see that the integrand is not all positive.

ClearAll(a,b,c)
tmp = Exp(Log((a/3 - c/3) (a/3 - b/2 + c/6) (a/3 + b/2 + c/6))
    + 1/2 (-((15 a^2)/4) - (15 b^2)/4 - (5 c^2)/4));
r0 = Integrate(tmp*Boole(c >= b >= 0)*Boole(c >= a), {a, -Infinity, Infinity})

Mathematica Graphics

 r1 = Integrate(r0, {b, 0, Infinity})

Mathematica Graphics

Before the integration of the above cPlotting shows that not everything is positive

 Plot(r1, {c, 0, 10}, PlotRange -> All)

Mathematica Graphics

therefore NIntegrate(r1, {c, 0, Infinity}) gives -0.000820548 This is the same result achieved when performing the entire integration at once

NIntegrate(
 tmp*Boole(c >= b >= 0)*Boole(c >= a), {a, -Infinity, Infinity}, {b, 
  0, Infinity}, {c, 0, Infinity})

Mathematica Graphics

So the integrand, as you say, does not seem to be quite positive, at least according to Mathematica. Of course, the result of Mathematica Integrate above might be wrong. Assuming this is correct, the above shows why you get a negative result.

ps. Tries Integrate(r1, {c, 0, Infinity}) But it could not do it after waiting for some time.

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Google Sheets – How to give a column a green border when the second line has a date = TODAY ()?

I'm trying to make a useful timetable sheet to keep track of all my class assignments:

I want to write a script in the script editor that says

for(Column A-Z){
    if(A2,B2,etc = TODAY()){
        Set the border of column A, B, etc to be a green outline
    }else{
        Set an empty border
    }
}

So it looks like this:

Therefore, the column representing the current day must be automatically outlined. But I do not really understand how to use the Google Sheets API, so I'm at a loss as to how to actually get this code up and running.

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Barbarian – What effect does the "Rage" action give extra traits (such as "Arcane and Evocation")?

Some of the barbarian instincts modify the properties of the rage action.

For example:

Draconian Fury (instinctiveness)

During the lawn you can increase the additional damage
from "rage" from "2" to "4" and change the damage type to "
match your dragon's breathing weapon instead of the
Damage type for your weapon or unarmed attack. If you
When you do this, your rage action gets the secret and the evocation
Characteristics and the characteristic corresponding to the type of damage.

Also the arcane feature only seems to indicate that the effect is magical in nature:

Arcane (Trait) This magic comes from the arcane tradition based on logic
and rationality. Everything with this feature is magical. 299

What mechanisms in the game (if any) interact with this modification of the rage action?

Anger is not a spell, so it can not be banished. Antimagic field does not seem to interact with such abilities. Anger primarily only modifies weapon damage, so its resistance does not interact with the properties of anger, but rather with its modified type of damage. Other class talents attached to the instinct that may have brought salvation (such as the dragon's breath) have the traits, and this makes sense in this context.

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