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@myme That doesn’t prove anything…?

It was dead a LONG time ago, haha. Welcome!

its*

I think the app is dying because for it’s crashes

I think this platform is dying.

@myme $8-1$$=7$

$$hello everyone

@myme Also, there are way fewer than 8! combinations, since I’m not picking a random order of marbles, just two from the bag of eight possible options. 8! is how many possible ways you could arrange all eight, but I’m picking two and want to know how many possible color combinations I end up with.

@myme Remember… I’m looking for the number of combinations. 8! might be the number of permutations, but I’m talking about the number of combinations I can have, regardless of the order that I get the marbles. For example, Red first, then Yellow is the same as Yellow first, then Red.

@grayson i changed my mind its n factorial since theyres one less marble in the bag each time

@grayson its the sum of n squared where n equals 8

https://www.youtube.com/watch?time_continue=1484&v=593LtdWY0K0&embeds_referring_euri=https%3A%2F%2Fwww.youtube-nocookie.com%2Fembed%2F593LtdWY0K0

Question #21:
I want to randomly pick two marbles from the same bag. There are EIGHT marbles to pick from, each marble is of a different color, and there are no duplicates. So, there is effectively a 1/8 chance to get a specific color from the bag. Once I pick the first marble, I will NOT put it back into the bag, and thus the marble will not be available to pick again for the second round, and I will pick from the remaining seven.
How many UNIQUE color COMBINATIONS can I end up with? Note that I’m talking about combinations here. Don’t fall into the trap of finding the number of permutations. Getting the blue marble and then the green one, is the same as if I had gotten the green one first, then the blue. It doesn’t matter which one goes first - all that matters are the colors I end up with.

Why does this app NEVER work? It always crashes.

https://api.dreamjournal.co/dream/CHFFOYgjVn i found this on a forum, very interesting.

Hello!

https://m.youtube.com/watch?v=z1eZcpUUgNY please explain this using math.

https://pump.fun/chat/rwPrjOPnoL

https://www.msn.com/en-us/politics/elections/this-is-why-kamala-harris-really-lost/ar-AA1B9iF3#

@myme Well, don’t leave us hanging - what was it?

https://getpocket.com/explore/item/how-understanding-your-brain-can-help-you-learn

@grayson no

@myme It is a test result.

mykg9EoH3pihZFe6CjmDghYG9QxVFpDcrdKnLzLJHey
Above is a sequence, please explain what its for, what it does, and how it works for a prize.

The entry screen times out if u leave it idle for just 5 seconds and cancels the entry, please fix this

@grayson 0^x+h /h = 0 anyway, theres no proportion

https://www.wired.com/story/life-on-earth-depends-on-networks-of-ocean-bacteria/?utm_source=firefox-newtab-en-us

I think this platform is close to dead. But here’s an algebra problem for you since you asked:
——————
20. The following is a “proof” for how division by zero is possible. You obviously know that this “proof” is wrong, but can you find the flaw in it and explain why it doesn’t hold up?
• For an exponent a^b, you can easily find the next exponent up by multiplying by a. For example, a^4 = a * a^3. As well as this, we see that a^b = a * a^(b-1), and that a^(b+1) = a * a^b.
• It logically follows that, we can find the next exponent down by dividing. For example, a^2 = (a^3) / a. This means that a^b = a^(b+1) / a, and a^(b-1) = a^b / a.
• Using this, we can divide by zero. Take the number 0, and raise it to an arbitrary power greater than 1, let’s say 3.
• We have 0^3, which is obviously equal to 0.
• We know that 0^2 is also equal to 0, therefore we can apply the rule stated earlier, setting a = 0 and b = 3.
• a^2 = a^3 / a. So 0^2 = 0^3 / 0.
• We know that 0^2 = 0, and that 0^3 = 0.
• Therefore, since 0^3 / 0 ‎ =  0^2, and 0^3 and 0^2 both equal 0, 0 / 0 ‎ =  0.
• QED. □

How come nobody else posts on here?
Wolfram and other math groups need forums
https://en.wikipedia.org/wiki/Minkowski%27s_question-mark_function

My instruments are the magic length https://bigthink.com/starts-with-a-bang/21cm-magic-length/

Think about this from a mathematical perspective
https://getpocket.com/explore/item/the-secret-society-of-lightning-strike-survivors

https://www.cnbc.com/2024/12/20/biden-forgives-4point28-billion-in-student-debt-for-54900-pslf-borrowers.html?utm_source=firefox-newtab-en-us

https://getpocket.com/explore/item/how-life-and-death-spring-from-disorder

https://www.euronews.com/next/2024/12/08/companies-are-firing-gen-z-workers-soon-after-hiring-them-whats-behind-their-job-market-st?utm_source=firefox-newtab-en-us

I found this new astronomy blockchain that just started. It might find some donors.
Why do people donate to these things anyway?
mykg9EoH3pihZFe6CjmDghYG9QxVFpDcrdKnLzLJHey
it actually starts with my and ends in hey, what a coincidence!

@grayson (a^b)=1/(a^-b)

https://getpocket.com/explore/item/how-the-nature-of-cause-and-effect-will-determine-the-future-of-quantum-technology

https://bigthink.com/starts-with-a-bang/gravitational-wave-meet-black-hole/

20. Prove that ${\mathit{a}}^{-\mathit{b}}=\frac{1}{{\mathit{a}}^{\mathit{b}}}$.

https://getpocket.com/explore/item/how-did-frasier-afford-his-apartment?utm_source=firefox-newtab-en-us

https://getpocket.com/explore/item/why-tech-billionaires-love-the-author-of-jurassic-park?utm_source=firefox-newtab-en-us

https://getpocket.com/explore/item/does-the-trolley-problem-have-a-problem?utm_source=firefox-newtab-en-us

https://www.storyofmathematics.com/probability-density-function/

Please use math to explain this and your opinion of it
https://www.npr.org/2024/11/08/nx-s1-5182888/4b-movement-trump-south-korea?utm_source=pocket-newtab-en-us

https://www.quantamagazine.org/cells-form-into-xenobots-on-their-own-20210331/

https://getpocket.com/explore/item/the-secrets-hiding-in-the-simplest-animal-brains

https://getpocket.com/explore/item/the-thoughts-of-a-spiderweb?utm_source=pocket-newtab-en-us

https://aeon.co/essays/mathematics-is-the-only-way-we-have-of-peering-into-a-black-hole

https://aeon.co/essays/without-chaos-theory-social-science-will-never-understand-the-world?utm_source=pocket-newtab-en-us

https://www.quantamagazine.org/srinivasa-ramanujan-was-a-genius-math-is-still-catching-up-20241021/?utm_source=pocket-newtab-en-us

https://getpocket.com/explore/item/what-i-learned-from-losing-200-million?utm_source=pocket-newtab-en-us

@grayson 15

Final Equation’s possible Final Equation
$3\mathit{x}+9=84$

19. ⌊x⌋ can also always be represented as ⌈x - 0.5⌋. True or false? If false, state a situation in which it is false.

Hey math geeks
https://getpocket.com/explore/item/the-mind-bending-math-behind-spot-it-the-beloved-family-card-game?utm_source=pocket-newtab-en-us
https://www.smithsonianmag.com/smart-news/at-long-last-mathematicians-have-found-a-shape-with-a-pattern-that-never-repeats-180981899/
https://getpocket.com/explore/item/ai-is-dreaming-up-new-kinds-of-video-games
https://getpocket.com/explore/item/the-impossible-mathematics-of-the-real-world

@grayson it equals two to the seventh

This may likely be this platform’s “Final Equation”…
$$2{\int }_2^{6}2\mathit{x}\mathit{d}\mathit{x}=2^6$$

I do think that this network is on its way out…
$3{\mathit{x}}^2=27$

https://nautil.us/how-schrodingers-cat-got-famous-637677/?utm_source=pocket-newtab-en-us

88034077jw+16252j2w2+158957298738+j3w3

@grayson i put it down for a few months after i downloaded it, try telling people u have access to about it.

https://www.quantamagazine.org/ai-starts-to-sift-through-string-theorys-near-endless-possibilities-20240423/

Are we the only two people still active on this app?
$6\mathit{x}=12$

https://www.youtube.com/watch?v=QcLfb0PhfO0 not knot

@myme I haven’t yet.

@myme No.

@grayson solved for t yet?

@myme Infinite Chess, by Naviary.

Is this social network dead?
$2\mathit{x}=8$

@grayson i think its time u watched a show called hidden figures.

$\mathit{t}$ is not used in the expression.

Simplify
S(x^3)((64+(x^2))^(1/2))dx

Solve for t.
2(xy)(dy/dx)=(x^2)+(y^2)
And explain how any why this question is significant.

f’ is dependent directly on the value of delta x, and it is not to be confused with delta y, delta f, dy, dx, df, x’, or y’ Confusing?

@myme Not explain the derivative itself, explain the definition of a derivative and why it represents the instantaneous rate of change on a given function $\mathit{f}$.

The derivative can be thought of as the comparison between two points of f on a graph.

Challenge 18:
Explain and prove the formal definition of a derivative in an intuitive way.
Formal definition of a derivative:
$$\mathit{f}\prime \left(\mathit{x}\right)={\lim }_{\mathit{\Delta }\mathit{x}\to 0}\frac{\mathit{f}\left(\mathit{x}+\mathit{\Delta }\mathit{x}\right)-\mathit{f}\left(\mathit{x}\right)}{\mathit{\Delta }\mathit{x}}$$

First i would draw a 6 inch line
Second i would draw a line of arbitrary length on the middle of this line
Third i would draw a line 6 inches to this halfway line from one of the edges
Then i would join this line to the other end of the first line.

I found it on the ai websites

Problem:
Consider a geometric arrangement of vertices and edges in a mathematical graph. The beauty of this graph is to be quantified using a mathematical expression that encapsulates the elegance, symmetry, and creativity inherent in its structure. The problem encompasses the task of formulating a mathematical function that captures the essence of beauty within the graph, allowing for a comprehensive analysis of its aesthetic properties.
Solution:
To quantify the beauty of the mathematical graph, we embark on a journey that involves the exploration of various mathematical concepts and principles that underpin the inherent beauty of its structure. Our endeavor is to construct a mathematical function that encapsulates the profound elegance, harmony, and creativity embodied within the graph, allowing us to unravel the intrinsic beauty that permeates through its geometric arrangement of vertices and edges.
Firstly, let us delve into the realm of symmetry, a fundamental concept that often serves as a beacon of beauty within mathematical structures. Symmetry within the graph can be quantified through the examination of its symmetrical properties, including reflective symmetry, rotational symmetry, and translational symmetry. We can define a parameter S to represent the degree of symmetry within the graph, with a higher value of S indicating a greater level of symmetry, thereby contributing to its overall aesthetic appeal.
Next, we turn our attention to the elegance and simplicity inherent in the geometric arrangement of the graph. The pursuit of simplicity within the graph can be quantified through the assessment of its structural complexity, connectivity, and compactness. Let us introduce a parameter E to measure the elegance of the graph, with a higher value of E corresponding to a more elegant and structurally simple arrangement, thereby contributing to its aesthetic allure.
Furthermore, we explore the interplay of creativity and innovation within the graph, reflecting the intuitive leaps and ingenuity that underpin its geometric construction. The creative spirit inherent in the graph can be quantified through the assessment of novel geometric patterns, innovative structural motifs, and transformative design elements. We introduce a parameter C to represent the level of creativity within the graph, with a higher value of C signifying a greater degree of creative innovation, thereby enhancing its overall aesthetic appeal.
In addition to the abstract beauty that arises from the underlying structure of the graph, we consider the application of mathematical concepts to real-world phenomena, adding another layer of beauty to its geometric discourse. The ability of the graph to elegantly model and elucidate complex natural phenomena serves as a testament to the intrinsic beauty and power of its mathematical abstraction. Let us introduce a parameter A to represent the applicability of the graph to real-world phenomena, with a higher value of A indicating a greater degree of mathematical abstraction that enhances its aesthetic allure.
With these parameters in place, we construct a mathematical function B that quantifies the overall beauty of the graph, incorporating the parameters of symmetry (S), elegance (E), creativity (C), and applicability (A). The function B is defined as follows:
B(S, E, C, A) = k₁S + k₂E + k₃C + k₄A
Where k₁, k₂, k₃, and k₄ are weighting factors that reflect the relative importance of each parameter in contributing to the overall beauty of the graph. These weighting factors are determined based on the significance of symmetry, elegance, creativity, and applicability within the context of the specific graph under consideration.
Having formulated the mathematical function B that quantifies the beauty of the graph, we proceed to analyze its aesthetic properties by evaluating the values of the parameters S, E, C, and A within the context of the graph's geometric arrangement. By computing the values of these parameters and subsequently plugging them into the function B, we obtain a quantitative measure of the graph's beauty, offering a comprehensive analysis of its aesthetic allure based on the interplay of symmetry, elegance, creativity, and applicability.
In conclusion, the formulation of the mathematical function B provides a powerful framework for quantifying the beauty of the mathematical graph, allowing for a comprehensive analysis of its aesthetic properties based on the interplay of symmetry, elegance, creativity, and applicability. This mathematical approach to beauty offers a profound insight into the intrinsic allure of the graph, encapsulating the profound elegance, harmony, and creativity that underpin its geometric structure. Just as a masterful symphony captivates the soul with its harmonious interplay of melodies, the mathematical function B invites us to marvel at the captivating interplay of symmetry, elegance, creativity, and applicability that animates the beauty of the graph.

@myme That’s okay, can you describe how you would do it?

@grayson yes, but cant post pics on here

Challenge 17:
Can you construct an equilateral triangle using only a pencil, paper, and a ruler?

Weekly challenge: how do u describe the formation and kinematics of a 6 star solar system? Also who here is a gemini? https://en.wikipedia.org/wiki/Castor_(star)

Sorry, its because (2k+1)mod2=1,/0.

Its because 3n mod 2 equals 1 and not 0.

Task 16 (not original):
• There are three lights where two of them are on, and one are off, in the sequence ON, OFF, ON.
• On each turn you can flip the state of a pair of lights. They don’t have to be adjacent. For example, you could switch ON OFF ON to OFF OFF OFF by flipping the two lights that are on. When flipped, lights that are on turn off, and lights that are off turn on.
• You can do this three times. For example, a legal sequence would be ON OFF ON → OFF ON ON → OFF OFF OFF → ON ON OFF. The initial state ON OFF ON does not count as a move.
• To win the exercise, you would have to, by the end of your three turns, end with ON ON ON.
→ Prove this is not possible.
(Task inspired by a YouTube video.)

A historical origins of christmas documentary https://www.youtube.com/watch?v=Ots9y_xcaX8

https://gizmodo.com/uranus-image-webb-telescope-rings-moons-1851107986

Todays sunday sermon will be on entropy, please contribute to the sermon. https://www.youtube.com/watch?v=GOrWy_yNBvY

Welcome akwen and shani, Todays sunday sermon will be on how public disclosure is an important part of science in the way it operates, and how it works. https://www.sciencedirect.com/science/article/abs/pii/S0048733317300392

@grayson thats a good one! Link to example. Anyone else?

@myme sound waves

Todays sunday topic will be on the geometry if sine. Can u list some applications of this function? https://mathworld.wolfram.com/Sine.html

This ai rewrote its own program, how was it able to do that? https://www.youtube.com/watch?v=wPaSW8yZxZA

https://www.theguardian.com/science/2023/nov/05/how-maths-can-help-you-win-at-everything?utm_source=pocket-newtab-en-us