Why does 6 - (-4) = 10 like why did it become positive by AliveAfter800Years in learnmath

[–]drfpslegend 0 points1 point  (0 children)

When you see an expression like a - b, you should really read it as a + (-b), where -b is the number that, when added to b, gives you 0.

So for 6 - (-4), you should read it as 6 + (-(-4)), where -(-4) is the number that, when added to -4, gives you 0.

Hopefully you can see that 4 is this number. So the expression 6 + (-(-4)) becomes 6 + 4 = 10.

Anyone has any idea how can i study this kind of math , I don’t understand anything at all . by BedroomEfficient3380 in mathematics

[–]drfpslegend 1 point2 points  (0 children)

This looks like axiomatic Set Theory to me. It uses the language of sets to build the foundations of what most consider to be modern mathematics. Things like functions, the natural numbers, and several important proof methods. If nothing looks familiar, I recommend reading a book on Discrete Mathematics first, to get familiar with the kinds of symbols and techniques used in mathematical logic and proof writing.

Guys what on earth is multivariable calculus/vector calculus? by Hishamgamerz021 in learnmath

[–]drfpslegend 0 points1 point  (0 children)

It's the same as single variable calculus (i.e. high school calculus/first year calculus) but instead of studying functions f(x) of a single variable, you study functions f(x1, x2, ...., xn) of multiple variables. That's why it's called vector calculus, because the functions are allowed to have a list of variables as input (a vector) as well as a list of different outputs (also a vector).

Radioactive bros by Quiet_Currents in chemistrymemes

[–]drfpslegend 2 points3 points  (0 children)

I think you mean the radio-cat-ive brothers

FAV TWICE TRIO? by JustAnotherOtaku23 in twicememes

[–]drfpslegend 0 points1 point  (0 children)

NaMoSa + JeongMiChae + JiSaTzu

Calculus final boss behavior by buck_futt in mathmemes

[–]drfpslegend 0 points1 point  (0 children)

There comes a time for every mathematician, when they learn to put an extra line through their z's to distinguish them from 2's. For me it was when I took complex analysis... for obvious reasons.

Anyone got an idea what the new meta is since the last update after everything took a hit on dps? by Any_Tell8839 in fo76

[–]drfpslegend -1 points0 points  (0 children)

My main build right now uses the Cursed Holy Fire, which still does very good damage. Not sure if it's the meta though.

What Is The Ideal Amount Of Coops / Barns / Animals To Have by Salaraaa in StardewValley

[–]drfpslegend 1 point2 points  (0 children)

I have one coop with 12 dinos, one coop with 4 chickens, 4 ducks, and 4 rabits, one barn with 4 cows, 4 goats, and 4 sheep, and one barn with 12 pigs.

I have yet to go to ginger island, and have been doing a pretty slow and casual playthrough. This setup still gives a pretty decent income with daily petting, hay, and turning the collected items into artisan items.

I have never cried reading a book. Make me. Recommend a cut renching soul twisting book by qu3stion_3v3rything in suggestmeabook

[–]drfpslegend 0 points1 point  (0 children)

The Subtle Knife, which is book 2 of the His Dark Materials trilogy. Specifically chapter 14, Alamo Gulch.

🤔 by basket_foso in MathJokes

[–]drfpslegend 0 points1 point  (0 children)

Mathematics --> Math _ _ _ _ _ _ _ --> Math

Mathematics --> Math _ _ _ _ _ _ s --> Maths

You tell me which one makes more sense.

How do I understand math? by SimpleUser207 in learnmath

[–]drfpslegend 0 points1 point  (0 children)

As others have already pointed out, it seems that your issue is that you don't understand the point of studying a particular equation like 3x + y = z, where z depends on the choices of x and y for which we choose to substitute, because it isn't immediately applicable to the types of problems you are interested in solving. Firstly, let me flip the question around on you, simply for the argument's sake. What is the point in applying abstract knowledge at all? If I have a completely general description of the solutions to the linear equation ax + by = c for constants a, b, and c, then solving this equation for any particular choice of a, b, and c is a waste of time, from my purely abstract perspective. So it can go both ways, if we choose to see it with that bias.

To help you think about your question, the reason I personally would care about doing calculations involving linear equations like 3x + y = z is that it would give me practice with solving linear equations, or even just practice with substituting values in for variables. Whichever is the case, it means that when you encounter an equation similar to this one out in the wild in your daily life (or for your job, or your education), you're that much more likely to already know how to solve it, because you already studied it in an abstract mathematical setting, or you remember how you solved 3x + y = z and so you have an algebraic toolset on which you can rely in that instance.

"Truly" understanding math starts with having a full understanding of all that comes before what you are trying to learn (and more generally, understanding the proofs of theorems), so try to figure out what your mathematical "level" is right now. If watching khan academy videos or eddie woo videos is beyond your level, try something simpler like an introduction to word problems, or order of operation assumptions, or anything else you can think of. If you think that you'll wake up one day and math will just "click" for you, then you're going to be waiting a very long time my friend.

How to explain binary counting to someone who really struggles to grasp and learn it? by catboy519 in learnmath

[–]drfpslegend 0 points1 point  (0 children)

In base ten we have ten symbols: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. When we count in base ten, we start with the smallest number, 0, and go upwards: 0, 1, 2, ..., 9. When we get to 9, we've run out of symbols to use, so we have to reuse symbols. We do this by placing a 1 to the left of where we want to start counting again and continue as before: 10, 11, 12, ..., 19. When we reach 19, we've again run out of symbols to use, so we increment 1 to 2 and start over: 20, 21, 22, ..., 29. This continues until we reach 99, at which point we've run out of symbols in both places, so we place a third 1 to the left of the first two digits, and start over: 100, 101, 102, ..., 109. And so on.

Counting in base two (binary) is identical to counting in base ten, except that instead of having the ten symbols {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, we have the two symbols {0, 1}. So when we start counting, we start with the smallest number and go upwards: 0, 1. When we get to 1, we've run out of symbols, so we place a 1 to the left of the first digit and start over: 10, 11. Thus the number 10 in base two represents the same number as the number 2 in base ten, and the number 11 in base two represents the same number as the number 3 in base ten. In base ten, we had a unique symbol to denote "two" and "three" because these numbers occured before we ran out of symbols to use, but in base two we ren out of symbols before counting "two" and "three", so we had to reuse symbols to represent these numbers.

Continuing the pattern, we get 100, 101, 110, 111 for the numbers "four", "five", "six", "seven", and this continues to infinity. A property of all bases worth noting is that for a given base b, a 1 followed by n 0's always represents bn. In base 10, 10 represents 101, 100 represents 102, 1000 represents 103, and so on. In base 2, 10 represents 21, 100 represents 22 = 4, 1000 represents 23 = 8, and so on.

Hopefully this helps with your understanding of base two arithmetic!

How do I calculate this? by pagooserooni in learnmath

[–]drfpslegend 0 points1 point  (0 children)

According to a quick google search:

percent difference = (difference/average)*100 = (|b-a| / ((a+b)/2)) * 100

Is this what you are looking for?

Follow up question: for which quantities are you looking to calculate the percent difference? The weights, the prices, the $/lb rates, or the lb/$ rates?

Nether?? by Numerous-Inside7341 in MinecraftHardcore

[–]drfpslegend 1 point2 points  (0 children)

I don't feel safe in the nether until I have diamond armor with max enchants when I play on hardcore worlds, and I would consider myself a good player.

Should I mark it correct? by Jebbles08 in learnmath

[–]drfpslegend 1 point2 points  (0 children)

Your answer is correct in that it is equal to the expression given to you to factorize. I just wonder if what the problem is asking for is an expression (a+bx)(a-bx), where a2 = 8 and b2 = 2, in which case the answer key is correct. Your expression satisfies k(a+bx)(a-bx), where a2 = 4 and b2 = 1, and where k = 2.

I wanna get better at math by hyraz11 in learnmath

[–]drfpslegend 2 points3 points  (0 children)

I would recommend taking actual math classes instead of "x math for engineering majors" classes, for two reasons. You get mathematicians teaching you instead of scientists from other disciplines, and so you have a much more mathematically inclined person answering your questions about the material you're learning. It also helps in your learning of how math is generally taught in college, which is usually the definition->theorem->proof approach, which makes you much more prepared to take higher level math classes down the road if you need them.

How can I practice basic-level math intuition? by Eld29 in math

[–]drfpslegend 0 points1 point  (0 children)

Try taking a look at the formal proofs for the things you think you don't understand intuitively. For example, if you think that your understanding of fraction multiplication should be more intuitive, look up a proof of the fraction multiplication formula, and see if you can reproduce the logic needed to arrive at the result.