I could try and help..depending on what the question is (kind of still a sketcher when it comes to proofs) but I need help with modifying a code by introducing a parameter
how do you introduce a parameter of initial condition and time step into a code without crashing? Maybe we should start a new chat so my codes don't flood this
% Modify the program degreeday on p. 35 of the textbook so % that it becomes a function with two parameters: the % initial condition (call it x0), and the time step, h. if I create those two parameters then supposedly the code will reproduce the number of days when I initiate it which is 19.19 days or 19.2 days
The spherical Bessel equation is:
$$x^2y'' + 2xy' + (x^2 - \frac{5}{16})y = 0$$
If I seek a Frobenius series solution, I will have:
\begin{align*}
&\quad y = \sum_{n = 0}^{\infty} a_nx^{n + r} \\
&\implies y' = \sum_{n = 0}^{\infty} (n + r)a_nx^{n + r - 1} \\
&\im...
question I just finished from an assignment I'm working on:
Let's play a game. First, you pay me $n$ dollars, and then you flip a fair coin $n$ times to product a sequence of heads and tails in the set $\{H, T\}^n$. For every triple of three consecutive equal entries in your sequence I pay you $V_n$ dollars. For what value of $V_n$ is this game completely fair? Now let's change the rules a little bit. First, you pay me $n$ dollars, and then you roll a fair $d$-sided die $n$ times to produce a sequence in the set $\{1, 2, \hdots, d\}^n$. Fix $k \geq 2$, and for every subsequence of $k$ consecutive equal entries in your sequence I pay you $V(n, d, k)$…
the answer to the second part is horrifying in how much work it takes to get there but how nice the answer is
I have paid $1000 for PhD in mathematics. And I have sent them my book to be considered as a PhD thesis.
Now I suspect that I have lost the money.
But as far as I know they are not accredited by the U.S. Department of Education.
So, is it possible that I will find a job requiring a degree, usi...
Isomorphisms are specific kinds of mappings between objects. $(\mathbb{Z}_12,+)$ is isomorphic to a clock; that has nothing to do with complex numbers.
Is my proof of $\mathrm{dim}(U+W)=\mathrm{dim}(U)+\mathrm{dim}(W)-\mathrm{dim}(U \cap W )$ correct?.Suppose we the basis of $U \cap W$ is $B_{0}$ then we can add this basis to the basis of W let it be $B_{1}$ and to U let it be $B_{2}$.Then the basis of $U+W$ will be $B_{1}+B_{2}$. From this ...
@robjohn I was thinking of that generalization involving cosine function you did yesterday. It's fascinating.
@robjohn I didn't react as I should have reacted. That convexity in the problems text should have pushed me to go and exploit the formula for convex function. I wonder why I didn't do it although it crossed my mind.
I was thinking of derivatives, but no, no, I should have gone in that direction. This is a lesson I'll never forget.
@SayanChattopadhyay do you have in mind packing problems?
@ABeautifulMind What would make you happy? By the way, don't ever imagine other people don't have problems. Maybe they smile on street when you meet them,, but that doesn't mean they don't face difficulties.
@ABeautifulMind Just think about it: how should I feel myself when I apply for a certain job and I'm rejected just because I ask for a decent salary? It's hard to understand my point here, but believe me, it's not easy to bear that, especially when you know you're the best choice for a certain position in terms of performance (I say that because I also developed that field).
@user91500 I see. Good for him. I have been struggling with MDD, OCD and PTSD for many years. I stopped working in 2007, still trying to get well so that I can function normally.
Suppose there is a tennis singles match, where Player A plays a single game against Player B.
The probability that player A will win a single point is $x$, and thus $1-x$ is the probability that Player B will win a point.
The scoring system in tennis goes 15, 30, 40, then game. However a score...
so assume we have matrices A=BC.It is obvious that the i-th row of A is linear combination of the rows of C with coefficients from the i-th row of B or $b_{i1}C_1........b_{in}C_n$.Analoguously the j-th column of A is linear combination of the columns of B with coefficients in the j-th row of C.N...
@Answer Dubious. a) Every point in a metric space is an interior point of that space. b) There can be situations $E\subset X$ such that $\partial E = X$.
@DanielFischer Nice!!! And something else... To show that in the field $\mathbb{Q}_p$, where $p$ is a prime, it holds that: $$-1=\sum_{0}^{\infty} (p-1)p^i$$ I did the following:
It suffices to show that:
$\left|\sum_0^N (p-1)p^i+1 \right|_p \to 0, \text{ when } n \to +\infty$
@Answer Say exactly what you talk about. What is the ambient space, and the boundary of which subset are you interested in? A boundary is a set, not a point, so the last makes no sense as written. Did you mean "has no interior point"?
@Daniel Okay lets go with R^2 and give the space all the points in and on the boundary of the unit circle(so closed) and then these boundary points are the only non-interior points
@Abeau I am sorry for getting angry and that is sad to hear! I have family members with severe mental illness and I have ADHD supposedly
To check if 177553 is divisible by 7, I used the following proposition: To determine if a number is divisible by 7, take the last digit off the number, double it and subtract the doubled number from the remaining number. If the result is evenly divisible by 7 (e.g. 14, 7, 0, -7, etc.), then the number is divisible by seven. This may need to be repeated several times.
But the last result that I get is 7, so that would mean that 177553 is divisible by 7, that cannot be possible, since it is a prime. So have I done something wrong?
The spherical Bessel equation is:
$$x^2y'' + 2xy' + (x^2 - \frac{5}{16})y = 0$$
If I seek a Frobenius series solution, I will have:
\begin{align*}
&\quad y = \sum_{n = 0}^{\infty} a_nx^{n + r} \\
&\implies y' = \sum_{n = 0}^{\infty} (n + r)a_nx^{n + r - 1} \\
&\im...
I have paid $1000 for PhD in mathematics. And I have sent them my book to be considered as a PhD thesis.
Now I suspect that I have lost the money.
But as far as I know they are not accredited by the U.S. Department of Education.
So, is it possible that I will find a job requiring a degree, usi...
Suppose there is a tennis singles match, where Player A plays a single game against Player B.
The probability that player A will win a single point is $x$, and thus $1-x$ is the probability that Player B will win a point.
The scoring system in tennis goes 15, 30, 40, then game. However a score...
