Mathematics

I am not going to specify my age here. But I am ahead of my time. I finally understand most of calculus and now want to get into some other complicated stuff. The only problem is that I have a short attention span. I need something I can read and something that keeps it interesting to understand matrixes or linear algebra. Can anyone help me?

Hi there, When it comes to disputes, the more you engage in arguing/conflict the more complicated the argument becomes for a third party to try and resolve. The sooner you take your conflict to your manager or a judge (litigation), the easier it is going to be for them to figure out what has happened and resolve things quickly. Is there away to present this idea mathematically? Preferably in simple maths... I was thinking something similar to: Conflict with two facts to resolve: C = 1/2 x 1/2. (i.e. if there is two facts then each fact is one half of a whole). Conflict with three facts to resolve: C = 1/3 x 1/3 x 1/3. (i.e. if there are three…

Large Language Models (LLMs) like GPT-4 and its predecessors are, as far as I know, built upon a foundation of mathematical and computational concepts, some of which were established long ago. I've been asked to do a short presentation about LLMs and I'm thinking of including a timeline of mathematical concepts to give some context to the audience. Can you suggest significant discoveries that could be included? There is likely no exact answer and I would value your opinion. For a short list I have these as a starting point: -Probability Theory -Foundations of Calculus -Vectors and Matrices (Linear Algebra) -Neural Networks -Information Theory (entropy) …

I know this is a bit crazy, but I do feel like I'm onto something. I just don't know how to do the complicated math for it. I'm not the sharpest tool in the shed. This has to be a theory of some kind. So, we all know about Sacred Geometry (google images to sum it up) hopefully, this adds to the effect if you can think in 3D. If you could have a root equation that explained everything, I feel it's this. The Key for Everything, the Crown of Thorns feedback appreciated

Okay, I know that the definite integral is used in finding the "AREA UNDER A CURVE" And there is also maxwell's electromagnetism equation I think. I know that there is a lot of examples, but how did they all find out how and why to use them? Sorry, I meant indefinite

Hello guys. You know about the "find a shape that can roll over any surface" thingy? Well, I have found a way to do that sketch on your paper! You see, all you have to do is find the radius of every time it majorly changes and evenly distribute it in EVEN numbers! Let me give you a visual presentation: As you see, we calculate the radius every time it significantly changes. Unfortunately, this is not a practical method, so we will have to sort of, draw the curve on the road. Let me give you another example As you see, the circle is the easiest to do, as its radius is never-changing therefore the surface is never-changing. Lets look at something …

here is my algebraic equation that not even symbolab solver could solve. The equation says that the x root of x equals 100. So what does x equal? Just a brain stumper for ya'll

Is i - i 0? how do we know that epi*i=0? what would a sigma notation with an upper limit of i look like? Is my "take this with a grain of salt" topic dead?

I am not the best at trigonometry. And I need help solving inverse trig functions. Can someone help me? You can also head over to take this with a grain of salt. I need help over there

I have this personal counting system to help understand complex numbers and I want you to help me improve it. remember, this is not actual math, And I just made it to make sense of complex numbers. Here is what it is. they are called rational integers (don't get mad) So, for short, R-Integers, are just like actual numbers, but they are also complex numbers. They just work a bit differently from real numbers. So first, the way to write them is with a line under the number. So, r-1 would be 1. They are the same as normal numbers but multiplication is different. What you do is when you multiply them, you keep the first number the same, but the numbers after that, they are co…

Imagine that you are given a smooth space of unknown geometry. What kind of constructions would you use to figure out the number of dimensions of this space?

11 12 54 69 72. those numbers have nothing to do with each other. But why did I put them on screen? I came up with an idea in my mind. What if we could take a random set of numbers, rearange them from lowest to highest. And find a sort of "Rate" at which they are changing. I am not speaking "Rate" In a literal sense. I just wonder if there could be a connection between those numbers. Idk why I though of this. I am going insane. But please help me with this

I can't tell if this is false or already exists, but I have come up with a proof for the Pythagorean theorem. Let me show you: If you can't figure out what this means. I will tell you. First, you draw a right triangle, and then another so it makes a square. Than you draw two triangles, which direct in the same position as the hypotenuse. Than the two triangles are equal to A and B. If you can't figure out what I said, Idk what to say. Take a harder look at the triangle. You can also prove this proof with einsteins proof.

Everyone knows how to find the area under a curve (I am joking) but I don't know how to find the area UNDER a curve. Chatgpt (After hours of arguing) told me that you have to define an upper limit, do the integral of that. with the same bounds, you find the area under a curve and you subtract them. I can't tell if this is true or not. Can you help me? And the reason I am doing this is to turn a curve into a ratio (under to over)

I am not IN college, but I am watching college classes online on YouTube. (MIT ones, to be exact). They brought up linear differential equations. I don't even know how to solve any I come across. I know algebra and calculus but I know nothing about whatever that is. Can someone help me?

Okay, Here is a number theory concept i thought about Lets say you have two imaginary colors, and you have to calculate the number of mixtures between those (The reason it is imaginary is because to many mixtures makes it brown) You have two colors. So how many mixtures do they have possibly? Well one! So what about three? Well three! But when you get to four, that is when it gets hard. So if it keeps going on forever, what numbers do you get?

If a product that costs me $100 to make and I want to make 25% profit on it so I sell it for $125, later on, the cost of raw materials and production decreases by 20% but I still want to sell it for $125, in that case, what is the % of profit? In other words, I want to keep the final selling price unchanged, but the actual cost of the product decreases, how to calculate the profit %? Of course, $100 is just a number for illustration. I have many different numbers for real. Is there a general formula for that? Then I can apply more quickly.

I took the first 23 numbers of the fibonacci sequence and turned them into a lcm. Here it is: 1.43734E23

Turns out that the sum of squares of the three distances, a2 + b2 + c2, is the same for all points on the circle. It appears as an algebraic "accident." What could be a geometric reason for this fact?

What is the term used for a radial that starts at a single point at the north most pole of a sphere and continues to equally expand and move to the alternate pole of the sphere until it contracts to a single point again please ?

Why do folks not get that logic and illogic are the literal two binding principles of our universe? Our universe was FOUNDED on logic an illogic. Big bang "A". What happened after in the physical we could say "B". What happened in the quantum we could say "the rest of alphabet all at once" Point is, it is all those two principles after the bang. It doesn't matter how you want to use math to explain it. There was an "A" and a "B". Logic and illogic are the only two things in existence that are part of the actual bang, itself. Because the bang is "A". Math didnt come until after Math is not real. It is an art form created to explain something

Hello everyone! I’m an assistant of a mathematical scientific researcher, and my research programme evolves around finding and developing all the (possible) solutions regarding all unsolved mathematical, logic, exact, and IQ puzzles ever created. If you search on the internet for: “The hardest unsolved logic math/iq puzzle/problem ever possible”. You would find the well-known "The Hardest Logic Puzzle Ever" (https://en.wikipedia.org/wiki/The_Hardest_Logic_Puzzle_Ever). I would like to gather some of your thoughts around this puzzle. The proposed solution on Wikipedia assumes that one of the gods must answer a factual question truthfully, leading to the conclusion …

1/2, 2/3, 11/15, 163/210, 619/770, 29/35, …? It’s the sum of reciprocal primes minus multiples’ overlaps plus subtracted multiples’ overlaps toward unity.

Hello I got the following proof, how do I begin to debunk it? Integer factorisation can't be polynomial for worst case scenario's. To prove this theorem, we use the fundamental theorem of arithmetic, which states that every integer greater than 1 can be expressed uniquely as a product of primes. We prove this by contradiction. Assume that there exists an integer n that can be expressed in two different ways as a product of primes, say n = p1 * p2 * ... * pm = q1 * q2 * ... * qn, where the pi and qi are primes and m ≠ n. Without loss of generality, assume that p1 is not equal to any of the qi. Then p1 must divide n, and hence p1 must divide the product q1 * …

1) The most basic works: + - X / counting, 1, 2,3 4...10, 100, 1000...... units, such as inch, feet, meter, hours, day, month. So we have to say people in Middle East and India did most of it. 2) I do not think Chinese did any, because Chinese "invented" writing very late. -Middle Easterners invented writing 5000 years ago. -Europeans invented a full set of writing symbols 7000 years ago -- Vinča Script. Vinča symbols, Wikipedia -Chinese invented writing 3500 years ago. Oracle bone, Wikipedia Chinese copied another's writing symbols. .