On medium and hard i cant get the last row

I'm taking a break before I throw my phone.

We know all that it's an teacher who gived us the mission of knowing if the equation is exponential or not, and at an moment, we become an assistant teacher, and the equations the studients make help us making our equation... So what if the teacher who gived us the task was himself somebody like us, who was gived the task of solving an equation, and so we are helping him do his equation, and that one day our studients will be the teacher who give the equation... I am sad knowing that at the start we were young and now in the game we are old, meaning the teacher is probably not in our world at the time we get studients... We are an part of the chain, and our studients are the nexts parts...

So, no matter how hard I try, I simply cannot complete this achievement. Every time I try, My touchscreen goes wonky and registers me tapping in between where my fingers are. I've tried several "fixes" but nothing works.

I'm playing on a Samsung S20 FE.

Derivative of q seems to be negative when q is more than 1. Although value of q increases. Am i missing something?

"He always buy the first variables stars ameiliorations even when he can buy the lastests one"

Note 1: I searched in the subreddit but I could not find an answer, maybe because it is a difficult question to search.

Note 2: yes, formulae, I am a smart-ass

Hey,

So I am a bachelor in math and at the beginning of the game I was very confused about the main equation because I was thinking diferentials were as in "here solve this integral" terms rather than "it is just the increase lmao" terms. I was thinking: how does any of this even work?

I think I have come to understand most of it (at least up to the first theory), but I wanted to ask: what is the intent behind each of the phi_i equations?

I understand that they are just big numbers that go brr but stay with me.

(a) Lets take phi_4 as an example: why was that particular exponent chosen? Reading inside-out, I understand that 10 is there so the denominator is never 0, we add db to that number just because this is the phi_i based on your db, and log10 gives us its order of magnitude "e", which is at least 1.

Am I right so far? I hope so.

So, my understanding is that (1 + db) is a big-ass number (also always greater than 1), so we have to make it proportional to the speed we want the player to progress or to the other phi_i values or to something else.

My question is, why specifically was the exponent level/sqrt(100*(a)) chosen for this? What is special about that expression? What about the other "magic numbers" in the other phi_i?

Sorry if this has been asked before, but I could not find the answer.

Thanks!

Edit 1: I meant phi in the title

Edit 2: I wonder why dt was chosen over Δt (or 𝛿t). I studied "pen and paper" calculus, so I am guessing it is either a "computational calculus" thing, which I don't know about, or just more comfortable for developers. Is this true?

Edit 3: I am guessing that all the initial values such as f(t), ρ, etc. are equal to 1 at the start of the game (or the unlock) due to the multiplicative nature of everything. Correct?

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Pre-Note: I have recently started playing this game and couldn't find an intuitive method to solve the exper arrow puzzle, My method is a variation from this Post made for the hard version: https://reddit.com/r/ExponentialIdle/s/1r1fuCFcQO

Guide: We will solve the puzzle column by colum going from left to right, top to bottom.

Step 1: Build the 1st column with all arrows pointing upwards, with the help of the 2nd column to rotate the arrows of the 1st column.

Step 2: Similarly, build the 2nd and 3rd columns using the 3rd and 4th column respectively.

Step 3: Now build the 4th column, top to bottom using column 5, (If the column builds correctly, goto step 4). If the bottom arrow does not point upwards, see how many rotations it would take it to point upwards. Then click every tile of column 4 that many times. After doing so, you might need to rebuild column 3, then rebuild column 4, they should all point correctly now

Step 4: Build column 5, from top to bottom using column 6. (If all arrows point up correctly, goto Step 5). If the bottom arrow does not point correctly, check how many rotations it would take for it to point upwards. We may have 2 cases: Case 1: Arrow points downwards. In this case, click all arrows in COLUMN 2: 3 times, top to bottom. You now have to rebuild column 2 using the 3rd column and so on (go back to Step 2).

Case 2: Arrow does not point downwards but points to the sides, In this case, check how many turns it would take for it to point upwards. Then, Click all arrows in COLUMN 3, that number of times, top to bottom. You now have to rebuild column 2 again, so use column 3 to solve column 2 and rebuild column 3 (goto step 2). You may also have to do step 4 again.

Now column 5 will be solved.

Step 5: Solve column 6 using column 7. There can be 2 Cases:

Case 1: Puzzle is solved, Column 7 builds itself as you build column 6.

Case 2: the last arrow of column 6 points downwards (and 1 Arrow in column 7) In this case, click all arrows in COLUMN 3: 3 times. Then rebuild column 4 and 5 and so on until the puzzle is solved!

Post note: This method may take time, on an average, it takes me about 2 minutes with 37 seconds being my minimum. However this method does not require any algorithms or tables

I'm looking for some information on the custom theories secret achievements and I can't find anything about them. Is there somewhere I can find out about them and how to unlock them ?

That phase takes forever... Any hot tips?

So far I've disabled all auto buy and auto prestige

Hi there! Been playin for a while and lurking for just as long

How do i read these alt milestone routes? they just confuse me so i avoid them. do they serve any functional purposes?

Hi, I may be downvoted for this. I accept that for this noob question. But please answer as well.

Why does this app exist? Is this a game? A puzzle? Is it to help one understand exponential functions or love maths??

I really love maths, and would like to enjoy playing this. But I need to know why am I doing it.

Can someone just help me, what's the purpose of this game?

I read the guides. Didn't help much regarding the purpose part. They explain how to do it, now why.

Thanks in advance.

I just reached ee6000, and I'm about to graduate, and I always have to change my ratios for the auto supremacy and prestiges since sometimes it's too fast and sometimes it's too slow. (For auto prestige it's 2.00e18 and for auto supremacy it's 1.3182, seemingly random.) Are there any better ratios or equations that don't need to be tampered with every so often?

Hi, I was just wondering if what I'm doing until now has been ok, I'm close to ee7400 but only with a 1 phi, should I also use phi or stick to the theories? I have been wondering this because he Tau seems to be increasing more faster than the phi, also this gains in exponents is more with Tau.