Feature importance ratio

I trained a Random Forest classifier (sklearn) and consequently computed the feature importance and consequently ranked them. The forest has 100 estimators. My top 5 features with their importances are as here:

f1 = 0.91
f2 = 0.04
f3 = 0.013
f4 = 0.007
f5 = 0.004

To avoid over-fitting, I did the evaluation using cross-validation and learning curve.

My question is that the importance for f1 seems significantly higher than other features. Does it imply incorrectness (over-fitting?) of any sort? Should I do feature selection in some other way to generalize the model better?

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What would determine the strength of a magic gene through inheritance?

This is a follow up question to this link:

/why-would-a-society-of-witches-choose-to-have-more-boys-than-girls

On witches in this world can do magic, and are exclusively female. Males are unable to perform magic. However, this magic gene is passed down through the male line. Society revolves around covens, which operate as independent houses or clans. These clans use males in a similar fashion to princess in the medieval world, to build alliances between families, start royal lineages, or unite kingdoms. the power of this magic gene would determine the potential power of a witch, although it would be up to her to reach that pinnacle through training and practice.

Since men cannot do magic, what would determine the strength of this magic gene As it is passed down through generations? Would would these lineages form around it?

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Is a condition leading to a cold-blooded human possible?

Well, today I have a fairly simple question. Is it possible for a human to have some sort of birth defect, mutation, disease or something that causes the human body to be unable to produce body heat?

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Why does enriching mixture over stoechimetry give more power ?

In other words, in a piston engine, the Best Power mixture is richer than the EGT peak that signs for a stoechimetric combustion.

Why is that, physically ?

Lycoming representation of EGT/CHT versus power

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What is a good app to help me learn C# or C++

I am wondering what would be a good resource to learn C# or C++. I mainly want to focus on C#, but anything works. I am currently making applications in Visual Studio, and I want to start making apps in C#, or C++. Thank you.

(PS: Preferred to have a free application for my help. I do not have much money to spend at the moment.)

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Aus diesem Grund vs. Aus diesem Anlass

Es scheint mir, dass die folgende Sätze die gleiche Bedeutung haben. Jedoch glaube ich, dass es eine Nuance des Unterschiedes zwischen den zwei Sätzen geben könnte und ich kann sie leider nicht merken, weil ich kein Muttersprachler bin.

Aus diesem Grung hat er sich entschieden das zu machen.

Aus diesem Anlass hat er sich entschieden das zu machen.

Merken Sie irgendwelchen Unterschied der Bedeutung zwischen den zwei Sätzen?

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Please help me identify this Bianchi I inherited!

I inherited this fixed gear Bianchi which I’ve used to commute around the city for the last couple of years. I’m looking to get a different bike and sell this one, and I’m wondering if anyone could help me identify it.

Any help is appreciated!

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Perché si va? Cara, ritorna da me

I am writing an English song that has a few Italian lyrics. I want to say, “Why did you go? My love, come back to me.” Have I got it right?

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How to prove $lim_{trightarrow infty} frac{e^{i x t}}{x- {imkern1mu} 0^+} =2 pi {imkern1mu} delta(x)$

Recently I meet following two equations in physics. Their proof is like a magic and I can’t understand.
$$lim_{trightarrow -infty} frac{e^{i x t}}{x- {imkern1mu} 0^+} =0$$
$$lim_{trightarrow infty} frac{e^{i x t}}{x- {imkern1mu} 0^+} =2 pi {imkern1mu} delta(x)$$

I’m very confused about in what sense these equations are hold? Could you recommend some literatures about these part of math? According to my knowledge(e.g. mathematical analysis or calculus) there should be no limit.

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Proof By Induction: Summation of Polynomial

Prove by induction (weak or strong) that:

$$sum_{k=0}^{n-1}(k + 1)^2= frac{n(n + 1)(2n+1)}{6}$$

My base case is:

$n = 1$, which is true.

In my Inductive Step, I assume that: $$S(n)=frac{n(n + 1)(2n+1)}{6}$$ holds for an arbitrary value of $n$.

Proving it then holds for $n+1$:
$$ S(n+1)=frac{(n+1)((n+1)+1)(2(n+1)+1)}{6}$$
$$ phantom{S(n+1)}=frac{(n+1)((n+2)(2n+2+1)}{6}$$
$$ phantom{S(n+1)}=frac{(n+1)((n+2)(2n+3)}{6}$$
$$ phantom{S(n+1)}=frac{2n^3+9n^2+13n+6}{6}$$

but can’t see how my definition of $S(n)$ can be substituted into this final equation?

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