Math Forums

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Mathematics discussion forum for anything related to algebra, calculus, analysis, much more. Also, share your problems, get various solutions and advice from the experts.

Math Forums

2d ago

------------ The Setup --------------------------
Assume that I have an object in 3D space. Its orientation is defined by the transform below:
| 1 0 0 |
| 0 1 0 |
| 0 0 1 |
As can be seen, the object’s local axes align with the world’s axes, so the object’s transform is an identity matrix.
-----------The First Rotation --------------------------------
Now, I will first rotate the object around the X axis by multiply the object’s transform with the rotation matrix below:
|...
Contradiction in Euler Angle Rotation Matrix Calculation ..read more

Math Forums

1w ago

Well... Although my program prerequisite didn't have a single differential question, it turns out my studies uses some and doesn't teach about it (it teaches what I assume is what a student knowing about differential would need to learn).
View attachment 4163
is how I passed my program prerequisite, so I intend to study that way. Which would be the most efficient path to learn differential? If there's a path that would take **a little** longer, how longer do you think it would be and...
Which path to learn differential ..read more

Math Forums

2w ago

I am a physics major in the second year and always have loved maths. Now that interest has grown into something bigger and I am thinking of taking some recognized distance courses in mathematics so that I will have something to show in case I decide to do a masters in mathematics.
It will be even better if it is not an entire math ug course but an independent set of topics that we can do at our own leisure. ( ie, I must be able to do a course of interest, say group theory, and...
Best recognized distance learning option for mathematics ..read more

Math Forums

2w ago

Have you ever wondered how to quickly calculate the square of a number that's near a known square? There's a neat formula that can help with this, using the distance between the number you want to square and a known square.
Formula Explanation:
(Known square) ± {(target number) * (distance * 2) ± (distance²)}
Let's break this down with some examples to make it clear:
Example 1: Calculating 77² when 80² = 6400
Known square: (80² = 6400 )
Target number: ( 77)...
Finding Squares Using a Known Square: A Simple Formula Explained ..read more

Math Forums

3w ago

The answer to solving problems/general mathematics, and problems related to solving the Riemann equation can be found in the attached files. With respect and love Grigorii Anfimov ..read more

Math Forums

1M ago

This is not a proof, but an outline of an idea. I am not a mathematician.
First of all lets look at infinity.
inf/inf is undefined,
but x/x is 1 regardless of what x is, even if x = inf. This could be explained by inf being a range rather than a number,
and when we say "x = inf" we mean x is a single specific number from that range.
Hinge 1: This idea hinges on viewing infinity as a range.
Now for the sum of all the natural numbers. Imagine that you have a line K that...
A somewhat intuitive reason for -1/12 ..read more

Math Forums

1M ago

I'm trying to figure out the probability of 5 INDEPENDENT / UNRELATED Events ALL happening in the same human being.
For instance, and I'm just using random things for the sake of explaining the set up...what are the chances that a Guy is....
over 7' tall...
has the recessive Redhead Gene...
has polydactyly....
has a birthmark....
AND has size 16 feet?
So, what are the odds of ALL of those things occurring in ONE human male?
Now, those are NOT representative of the stats below, I'm just...
Trying to Calc. 5 INDEPENDENT Events ALL happening...getting diff. results from diff. sources ..read more

Math Forums

1M ago

I know every prime row of pascal's triangle added up, and then subtracted by 2 has a factor of p, where p is the prime used
for the prime row. Can you prove no prime rows of pascal's triangle added up and subracted by 2, ever has p^2 as a factor ..read more

Math Forums

1M ago

Yesterday I saw on twirpx I saw an interesting article "Petrov I.B. Study of the prime number formula f(a) = a * dr(a) + 1".
The article discusses a new approach to the study of prime numbers, based on the numerical roots of numbers. the prime number formula f(a) = a * dr(a) + 1 is studied, where dr(a) is the numerical root of the number a. The study shows that this formula provides a competitive probability of finding prime numbers over a wide range of values of a, appearing to be a...
Formula for finding prime numbers f(a) = a * dr(a) + 1 ..read more

Math Forums

2M ago

ok, I have a mathematical challenge. It's to do with options trading, but you shouldn't really need to know too much about options to solve it... just math.
ok, so let's say the price of stock XYZ is at $132. I sell a put option at a strike of $125 for a premium of $2.
What this means is that if the price of XYZ at expiry (in 10 trading days) is over $125, I get to keep the $2. Anything below $125, and my profit/loss is $125 + $2 - End_Price.
I know the annualized volaility, let's say...
Challenge For The Stats Geniuses ..read more