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Does there exists a brach of mathematics, if exists, perhaps in computational mathematics, researches the properties of multiple nesting functions where every nested function is somewhat simple, such as piecewise linear function?

Hello Can you please tell me about all the availible methodes for studing the parity of the class number of a given number field? Thank you

I love math, but deep down physics is my true love in this life, but you can't do physics without math so my love for mathematics is definitely up there... I digress... I am wrapping up my undergraduate BS in physics, and getting ready for graduate school. I feel pretty good with basic...

Hello, Let $d$ be a positive square free integer for which $d$ we have $ h(\mathbb{Q}(\sqrt{-2d})=8$? In particular, if $p\equiv 1 \mod 8$ is a prime, when do we have $ h(\mathbb{Q}(\sqrt{-2p})=8$? is there any references to sugggest for me? Thank you

Suppose there is a queue with exponential service time \frac{1}{\mu} which accepts customers from K classes with poisson distribution and rate \lambda_k but if a customer from any class arrives at the queue and there is already another customer from the same queue either waiting or receiving...

Hi, I'm a freshman who is taking Algebra 2, Geometry and Trig all this year. We are doing Geometry right now. The problem is that I failed the last 3 tests and I am freaking out. I don't want to drop the class but if I continue like this I will be forced to drop it. Please help!! I need help...

Hello, please Is there any results in the parity of $\mathbb Q(\zeta_{p^m})$ ( and $Q(\zeta_{2^m})$ ), with $p$ is an odd prime and $m$ a positive integer ??? Thank you

Hello Let $n$ be any positive integer. Did anyone before construct a tower of length $n$ of finite number fields of odd class number? Do you have any idea about how to do that?

In my book, In Averages chapter there is a line which tells us: There are two sections A and B of a class where the average height of section A is 150 cm and that of section B is 160 cm. On the basis of this information alone, we cannot find the average of entire class (of the two sections)...

Hi, I have tried the question as attached. I am not sure if I am correct. Your help is greatly appreciated. Thanks in advance!

...be prepared.... I discover that also my Complicate Modulus Algebra shows some properties looking at the Congruence Class of certain tricks... And Fermat the Last is again a good table of work. Again no limits in going deep...

For the fall I am currently enrolled in: Vector calculus an intro to Java(Data structures) Linear Optimization I have to add 1 more class. I am choosing between Advance Calc. and Intro to Abstract math and proofs. These are the course descriptions of each. Advance Calc: Calculus of several...

We have g_n(x_0) which is composition of functions f_i(x_0,x_1,...x_{i-1}), i=1..n where f_i(...) are basic arithmetic operations (add, sub, mul) on x_k and constants. For example: x_1 = 2\cdot x_0*x_0 + x_0+0.567 x_2 = x_0x_1 + x_1 + 0.341 x_3 = 3.2x_2x_2+x_1+x_0 this way is simply to reach...

Hi How do you plot the curve when the last class interval has no upper limit? For example, Age_______________....... 70<a<=80____a>80 Frequency__________...... 5____________2 Cumulative Frequency...... 58___________60 So the penultimate point would be (80,58 ), but what would the final point...

Dear all, I just finished a Chemistry 2 class, and it included exponential rates and decay, simple quadratic formula solving, and chemical rate laws. It used some integrals, and I am trying to find a math class to help. I barely got a B, and want to understand it better cuz I am about to take...

This is a Perpetuity question and I'm having a hard time finding the EAR(Effective Annual Rate) It states the following: Interest rate: 6 % compounded semi-annually $100 payed every three months per year So how would you calculate the EAR in this situation? The amount of cash flows per...

I got a D on my first math exam, and an F on my second math exam, is there any chance I have of passing the class. I am fine with a C. There is one more exam, and a final. What do I do? I am considering dropping the class.

So while I was scribbling in my college calculus class I was just goofing around playing with the harmonic series. \sum_{n=1}^\infty \frac{1}{n} I had decided to separate everything into parts so that you could represent it like this. Hx = \frac{\sum_{n=1}^\infty \frac{1}{n} -...

Attached is the problem. The teacher had an approach but it didnt seem to work, attachment will be posted in the replies.

In a class of 52 students, 16 are science students. If 1/3 of the boys and 1/4 of the girls are science students, how many boys are in the class? Total no of student in class = 52 no of science student = 16 no of non science student = 52 - 16 = 36 1/3 of the boys = science students 1/4...