Once upon a time there was a shepherd looking after his sheep on the side of a deserted road. Suddenly a brand new Porsche screeches to a halt. The driver, a man dressed in an Armani suit, Cerutti shoes, Ray-Ban sunglasses, TAG-Heuer wrist-watch, and a Versace tie, gets out and asks the Shepherd:

Man: “If I can tell you how many sheep you have, will you give me one of them?”

The shepherd looks at the young man, and then looks at the large flock of grazing sheep and replies:

Shepherd: “Okay.”

The young man parks the car, connects his laptop to the mobile-fax, enters a NASA Webster, scans the ground using his GPS, opens a database and 60 Excel tables filled with logarithms and pivot tables, then prints out a 150 page report on his high-tech mini-printer. He turns to the shepherd and says,

Man: “You have exactly 1,586 sheep here.”

The shepherd cheers,

Shepherd: “That’s correct, you can have your sheep.”

The young man makes his pick and puts it in the back of his Porsche. The shepherd looks at him and asks,

Shepherd: “If I guess your profession, will you return my animal to me?”

The young man answers;

Man: “Yes, why not?”

Shepherd: "You are an IT consultant."

Man: “How did you know?”

Shepherd: “Very simple. First, you came here without being called. Second, you charged me a fee to tell me something I already knew, and third, you don’t understand anything about my business…Now can I have my DOG back?"

Once upon a time there was a shepherd looking after his sheep on the side of a deserted road. Suddenly a brand new Porsche screeches to a halt. The driver, a man dressed in an Armani suit, Cerutti shoes, Ray-Ban sunglasses, TAG-Heuer wrist-watch, and a Pierre Cardin tie, gets out and asks the shepherd: "If I can tell you how many sheep you have, will you give me one of them?"

The shepherd looks at the young man, and then looks at the large flock of grazing sheep and replies: "Okay."

The young man parks the car, connects his laptop to the mobile-fax, enters a NASA Webster, scans the ground using his GPS, opens a database and 60 Excel tables filled with logarithms and pivot tables, then prints out a 150 page report on his high-tech mini-printer. He turns to the shepherd and says, "You have exactly 1,586 sheep here."

The shepherd cheers, "That's correct, you can have your sheep." The young man makes his pick and puts it in the back of his Porsche. The shepherd looks at him and asks: "If I guess your profession, will you return my animal to me?"

The young man answers, "Yes, why not?" The shepherd says, "You are an IT consultant."
"How did you know?" asks the young man.
"Very simple," answers the shepherd. "First, you came here without being called. Second, you charged me a fee to tell me something I already knew, and third, you don't understand anything about my business... Now can I have my dog back?"

Logarithms give me a headache

By any chance can someone explain logarithms to me and how they relate to complexity growth? I can do the calculation but it's only from memorisation. I just don't understand how it relates to a graph.

Oh god, here comes another math post! I can feel it coming on, like werewolfism during the full moon.

I'm only passingly familiar with logarithms, so this, like everything I've stumbled on, has probably already been discovered, but

n/(1/((n^(1/n))-1))

Is a pretty good approximation (within a couple percentage points, or three or more digits) of the natural logarithm for all the numbers I've checked it on.

For example if

n = 690841693

ln(n) = 20.35342125707679

while our estimate using the above formula comes out to:

n/(1/((n**(1/n))-1)) = 20.353421612948146

Am I missing something obvious here, and if so, what?

Am I doing the idiot savant thing again, or am I just being an idiot again?

This is how to find the base needed for any integer value p, where p>=5, such that the logarithm always equals e in python.

log(p, e**(log(p, e**e))) # equals e

Doesn't do anything besides that but this is another identity isn't?

That feeling when you're applying for your first programming job.

And the knife stabs of nerves in your gut fearfully remind the coiled muscles in your sweaty brow of the singular possibility: what if I bullshit my way by the HR filter into this job and it turns out I was completely wrong, and I encounter a bug that my meager coding abilities really can't fix?

"Writing an interpreter in some community college you dropped out of ten years ago" doesn't mean you're a programmer.

"Figuring out where the bug was in a broken bat file that was pages long, for a language and framework you've never used, for a library nobody uses anymore", doesn't count as debugging.

"Writing a tweening library in an obscure tool" doesn't mean you're an expert. This is childs play.

What if they ask about big O? Do you admit that logarithms confuse the fuck out of you because you dropped out in 8th grade and got your GED later on due to being kicked out by your meth head dad?

What if being able to write a few measly cobbled together half-arsed estimate tools in python doesn't really mean you're qualified to do anything?

What if being able to look at code in languages you've never seen and grok it doesn't mean shit?

What if you've used more languages than you can remember?

What if you once lost a job offer casually given because the guy you built rapport with over months made a joke about browsers, and you joked about using internet explorer?

What if you got a job offer from a consultant friend one time and he asked you to write validation and testing code in javascript for amazon's cloud, and you completely screwed the pooch because you spent the entire time thinking you had to make it *work* and not just *look* correct, when all along he just wanted what amounted to *correct looking* code, and your gut had told you the same, but you ignored it, because the world can't possibly work like that, where people give anyone a chance or the benefit of the doubt, and any slip up or shortcoming means you were never really worthy to begin with.

What if you thought you could, but you'd been raised your entire life to *believe* you couldn't?