The problem is here: https://imgur.com/a/n1ADV03
I've solved the first part using induction as specified. The second part is giving me trouble though. My strategy has been to show that the RHS of the second inequality is greater than the RHS of the first, which would require showing that the summation being subtracted in the second inequality (let's call it S2) is smaller than the summation being subtracted in the first (S1). However this has proven difficult. S1 is clearly contained within the summation part of S2, but presumably the 2/n coefficient in S2 will make S2 smaller? Or is my strategy to prove that S2 is smaller than S1 the wrong way to go about this?
I've tried induction and rearranging terms in the inclusion-exclusion definition of the left side, but it's not working. What am I missing?
I hope mods are okay with this. I also published this text on some other page so it is not stolen.
Intro
It is 2021 and there are so many people working as programmers. If you want to be part of that world, you need to know the programming basics.
Why is this post better than most of the other posts or video courses on the internet? And also how can this be a post about programming when there is not any programming language in it?
Well, there is a difference between learning to program and learning some programming language. You could 'learn' two programming languages and there is a chance that you would still not know how to program.
Learning a programming language is the same as learning a foreign language. Learning to program is like learning to think. When people are born they have the ability to think. That ability naturally gets better and better with time. That means most people would react in the same way in the same situation no matter where are they from. For example, if they see an accident on the road, they would call an ambulance. The only difference is that they would use their own language to describe the accident.
The ability to think is not bounded or dictated by some language. If you learn a new language, your ability to think would not change at all. The same thing is with programming. Programming concepts are independent of programming languages.
In this post, I will teach you programming concepts that will help you learn any programming language. Learning this way is much faster and you are not distracted by the syntax of the programming language.
How to think like a programmer?
This is a question that is asked by many people who wants to start with programming. And to answer it straight away - you need to use an algorithmic approach to solving problems. What does that mean exactly? I will explain it in this chapter.
Computer programming is the process of designing and building an executable computer program. A computer program is a collection of instructions that can be executed by a computer to perform a specific task.
In layman's terms, programming is just telling a computer what it needs to do. To describe to a computer what it needs to do, programmers use various programming languages.
Now, I would require you to take a pen and paper or just open your favorite text editor and write down all steps you need to do to make a bowl of cereals. I
... keep reading on reddit ➡Do your worst!
It really does, I swear!
For context I'm a Refuse Driver (Garbage man) & today I was on food waste. After I'd tipped I was checking the wagon for any defects when I spotted a lone pea balanced on the lifts.
I said "hey look, an escaPEA"
No one near me but it didn't half make me laugh for a good hour or so!
Edit: I can't believe how much this has blown up. Thank you everyone I've had a blast reading through the replies 😂
They’re on standbi
Buenosdillas
I'm surprised it hasn't decade.
Pilot on me!!
Dad jokes are supposed to be jokes you can tell a kid and they will understand it and find it funny.
This sub is mostly just NSFW puns now.
If it needs a NSFW tag it's not a dad joke. There should just be a NSFW puns subreddit for that.
Edit* I'm not replying any longer and turning off notifications but to all those that say "no one cares", there sure are a lot of you arguing about it. Maybe I'm wrong but you people don't need to be rude about it. If you really don't care, don't comment.
When I got home, they were still there.
What did 0 say to 8 ?
" Nice Belt "
So What did 3 say to 8 ?
" Hey, you two stop making out "
I won't be doing that today!
You take away their little brooms
This morning, my 4 year old daughter.
Daughter: I'm hungry
Me: nerves building, smile widening
Me: Hi hungry, I'm dad.
She had no idea what was going on but I finally did it.
Thank you all for listening.
There hasn't been a post all year!
It’s pronounced “Noel.”
[Removed]
After all his first name is No-vac
What, then, is Chinese rap?
Edit:
Notable mentions from the comments:
-
Spanish/Swedish/Swiss/Serbian hits
-
French/Finnish art
-
Country/Canadian rap
-
Chinese/Country/Canadian rock
-
Turkish/Tunisian/Taiwanese rap
There hasn't been a single post this year!
(Happy 2022 from New Zealand)
Nothing, it just waved
Bob
So that I could frequently say, "I am going to walk 5 miles now."
Edit: My most popular post on Reddit! 😀 Thank you for the awards.
Just to clarify, 12345678
Me grabbing a soda from my (what I thought was) half full 12pk...
Notices there's only 2;
Me: "Awe man... This is a damn bird box!" Her: "What the hell does that mean?!" Me: (Pulls both cans out & shows them to her) "It's only got Toucans."
I'm not ashamed to admit the look on her face was glorious.
I was just sitting there doing nothing.
“BOOM”?!
"That's what they're fighting about."
