## Meaning of colors in website design

BlackHatKings: Webdesign
Posted by: annakieu193
Post-Time: February 13, 2019 at 06:54.

QUOTE

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## The condition for random positive matrix integration

For a $$k times k$$ positive matrix $$V = (v_ {ij}),$$ write $$V = Gamma # D Gamma,$$ from where $$D = diag (d_1, d_2, ldots, d_k)$$ With $$d_1> d_2> cdots> d_k,$$ and $$Gamma$$ is an orthogonal matrix. From Farrell (1985),
$$dV = prod_ {i
Here $$dV = prod_ {i le j} dv_ {ij}$$, $$dD = prod_ {i = 1} ^ k dd_ {i},$$ and $$d gamma$$ denotes the space of orthonormal matrices.

question: What are the sufficient and necessary conditions of a, b, c for the subsequent integration integrable?
$$int int frac {1} {| V | ^ a | W | ^ b | I_k + V + W | ^ c prod_ {i
where positive matrix $$W = O & # 39; Lambda O,$$ $$Lambda = diag ( lambda_1, lambda_2, ldots, lambda_k)$$ With $$lambda_1> lambda_2> cdots> lambda_k,$$ and $$O$$ is an orthogonal matrix.

From (1) follows
$$int int frac {1} {| D | ^ a | Lambda | ^ b | I_k + Gamma D Gamma + O Lambda O | ^ c} dDd lambda d gamma dO$$

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## Algorithms – How can I efficiently find the largest positive interval in an unsorted array?

Given a set of values ​​like [4, 8, 1, 5, 2, 6, 9, 2, 3, 5, 11, 9]How do I find the biggest positive interval between two of them? For example, index 0 through index 1 in the directory just listed has an interval of 4 because `8 - 4 = 4`, However, the largest positive interval lies between Index 2 and Index 10 because `11-1 = 10`,

I can see that there is a way to do this in linear time, but I can not figure out what it is. The brute-force solution of n ^ 2 is straightforward, but I want to understand the better way.

To be clear, the biggest positive interval in `[20, 1, 4]` would be 3, not 19, since 20 -> 1 is an interval of -19.

The solution I would suggest is to translate the array into an array of differences in linear time, eg. [20, 1, 7, 4, 2] becomes [0, -19, 6, -3, -2], and then use the Kadane algorithm to find the maximum contiguous subsequence. I think that's right, but I'm not sure ….. wait, no, because then `6 + (-3)> (-19) + 6`…. so that's not quite right. But I still have the feeling that somehow it's just easy for me. Wait, yes – the biggest consequence would be `6` Indices 1 and 2 provided the answer.

## I assume that a parameter is real and positive, but Mathematica still assigns it a phase

If I let this line of code run

`Accepted,[{Element[a, Reals], a> 0}, TrigToExp[ComplexExpand[Sqrt[a]]]]`

I get

``````(a ^ 2) ^ (1/4) E ^ (1/2 I Arg[a]).
``````

Why does Mathematica accept this parameter? `on` has a phase after I declared that it is real and positive?

## Boy Scout – Will an 8th cleric and above cleric with the death domain be harmed by channeled positive energy?

At level 8, a cleric with the death domain receives the following trait:

Embrace of Death (Ex): At the 8th level you heal damage instead of taking
Damage due to channeled negative energy. If the channel is negative