# 10 Reasons Why You Should Install Linux

## Number 9: Impress Your Friends and Colleagues

Time for a personal story. At Purdue my advisor said there was software that would compute what he asked me to calculate. I was able to look up the program that did the calculations and bang on the keyboard until it worked. I remembered that I ran the computer in run level 1 which didn't use a graphical interface. That way I was able to devote the whole computer to these calculations. These calculations could take days if they completed at all.

## Number 8: Don't Waste Your Computer

It is generally true that the proprietary operating systems basically use more and more of your computer. Eventually they become so bloated that old hardware cannot be supported anymore. With linux it generally will run on anything. For extremely old hardware you might choose a version of linux that is less demanding.

## Number 7: Tools Tools and More Tools

With linux you can really set up computers to do whatever computers do. Need a print server? Linux has you covered. Want to have a shared drive in your house? The tools to do that with linux are out there. These tools could be too costly otherwise.

## Number 6: Set a Good Example

If you use linux, your children will naturally have questions about what you're doing. This can be a real opportunity to teach your children about computers. Being proficient at linux is a skill that jobs are based on. Also young people can be given a device where internet access has been restricted. I don't know what's the best age to introduce the internet to children, linux provides the option of providing computer expierence without the internet. That is assuming that your kids don't hack their own computer. If they do, then pivot that into a marketable skill.

## Number 5: Generally Linux Doesn't Have Malware

Linux currently doesn't have a large market penetration. This means that it's not as an attractive target for hackers. That is, exploits of other operating systems might have more penetration and therefore a larger payoff.

## Number 4: Linux Has a More Secure Architecture

Linux generally is operating with restrictive privileges. This means if a hacker does get control of a part of the computer there's still another step before the hacker can completely control the computer. This architecture can prevent malware from spreading. Since the source is open, anyone can inspect the code for vulnerabilities, and anyone can fix them. With a proprietary operating system the only people who can find vulnerabilities are paid to find them.

The command sudo is used to signal that expanded privileges are to be used.

(source)

## Number 3: Herd Immunity

These two facts that there hackers have fewer targets and that those targets are hardened against attack provides something like herd immunity. Which is what happens when a sizable proportion of a population is vaccinated. Basically a virus cannot spread through a population when a high proportion of individuals are immune.

## Number 2: Linux is Really Geared for Productivity

Since Linux is a product of the open source community all the tools that are needed for open source development are included with each install. Many programming languages that aren't included are just a command away to install. Most installs include Open Office which can replace other office products.

## Number 1: You Will Actually Own Your Computer

By installing linux you will have full access to all of your computer. Open source software generally have very permissive terms of use. When you use a proprietary product the license terms generally very restrictive as to what you are allowed to do with your computer, and surveillance you must accept. When the source there are no restrictions.

# Security Analysis of ChainLocks complete

In Satoshi Nakamoto's bitcoin paper there is section 11 with the title "Calculations". This section basically proves that bitcoin is very secure as long as at least half of the hashing power is behaving as expected.

Last year, the cryptocurrency Dash introduced a secondary consensus mechanism called ChainLocks. The technical specification of ChainLocks was explained in a document known as Dash Improvement Proposal 008 or DIP008. When this document was published I quickly went to calculate the security provided by the new specification. The large 400 node quorum means that the spread sheet I had for such calculations choked hard. So it was time to pull out the big guns, Python.

Within a half an hour I was maxing out a processor of my old laptop with calculations. I was happy that minutes later I had an answer, and the answer was affirmative. ChainLocks did provide security from purposefully malicious actors. I went back to other tasks now that I was convinced of the security of ChainLocks. Then I received a few questions about how to perform these calculations. So I shared my Python script. Thephez on github made this Python script much more efficient. It would run in seconds instead of minutes.

I then thought back to Satoshi's paper. It was really that Calculations section that was the convincing part. So in the open source spirit I formally wrote up the security analysis and submitted a pull request. Today, that pull request was merged. DIP008 now has a calculations section.

The calculations rely on binomial coefficients. As an example you can type "7 choose 5" in google and get 21. The number 7 choose 5 is written $_7 C_5 = {7 \choose 5} = 21$

My main complaint is that GitHub's markdown does not out of the box render all mathematics. I used the notation $_n C_r$ for $n$ choose $r$ because markdown of github supports that better. I generally think ${ n \choose r }$ is a more common notation.

My favorite quote is:

The attacker would have a less than one in 100 trillion chance of producing at least one malicious ChainLock in the next sextillion (10^21) years.

This is assuming that thirty percent or less of the Masternodes are controlled by an attacker.

The heart of the calculations is in the function pcalc below.

def binom(x, y):
try:
binom = fac(x) // fac(y) // fac(x - y)
except ValueError:
binom = 0
return binom

###This function takes inputs and outputs the probability
#of success in one trial
#pcalc is short for probability calculation
def pcalc(masternodes,quorumsize,attacksuccess,Byznodes):
SampleSpace = binom(masternodes,quorumsize)
pctemp=0
for x in range(attacksuccess, quorumsize+1):
pctemp = pctemp + binom(Byznodes,x)*binom(masternodes-Byznodes,quorumsize-x)
#at this juncture the answer is pctemp/SampleSpace
#but that will produce an overflow error.  We use logarithms to
#calculate this value
return 10 ** (log(pctemp,10)- log(SampleSpace,10))