I am 20 years old. I live currently in Mexico and have been living here for 9 years. My parents took me to the USA when I was a minor (1 year and a half) and stayed until I was about 12 years old. I lived with my mom and sister. We asked to leave the US and exited voluntary. I have graduated from middle school and high school. I have an internship in accounting. I have my own small business and a family with 2 kids. I have never had any issues with the law in Mexico or in the USA. Is there a way that they will deny me automatically a visa for having been to the USA illegally? I want to go to the USA for a 4-day vacation fishing.
I was born in Brazil and came to the United States at the age of 7, in 2007. I no longer need to live in the United States because I have found success in investing and no longer depend on having a job. I am going to buy property in my home country soon, but I have just turned 18.   Will I ever be able to return to the United States to see my friends and other family members? Even if it is a 30-day visa? And, if so, in the future, am I still eligible for the EB-5 visa? Will I be barred from entry?
Ideal correspondence I'm confusing the ideal correspondence theorem. Is the following  right?  Ideal correspondence: Let $f:A \to B$ be a ring homomorphism. Then there is a one-to-one order-preserving correspondence between ideals of $f(A)$ and ideals of $A$ which contain $\ker(f)$ by $\alpha \mapsto f(\alpha)$ (conversely $\beta \mapsto f^{-1}(\beta)$), and prime ideals correspond to prime ideals, and maximal ideals correspond to maximal ideals. I'm just trying to review basic terminal commands. Having said that, how do I create a text file using the terminal only? Getting higher power output by using more resistors Solving binomial theorem via induction How can I use the instant messenger program Kik - most commonly installed on smartphones and other mobile devices - on a laptop or desktop running Win7Pro, without a phone being involved and without needing any kind of Google account?  The two ways of using Kik from my laptop that I have so far found are both inadequate, or at least I do not how to tweak them to make them meet the requirements.  The first is to install on my laptop the Bluestacks emulator of Google's Android operating system, and then to run Kik on it. Unfortunately to run Kik on Bluestacks requires (or at least I have not found a way to avoid) having a Google Play account.  The second is to run Bluestacks on Manymo, the online emulator of Google's Android OS. Unfortunately, using Kik on Manymo similarly requires a Google Play account.  I realise Kik was made for use on a mobile OS, but it is supposed to be cross-platform where mobile OSes are concerned, and therefore not to be tied into Google's mobile OS - or, as far as I know, into any other software supplied by Google or any procedure prescribed by that company, such as giving it personal information - so I am optimistic that someone will be able to advise on what I am asking for here.  I notice that Microsoft have made a , so there might be a way to get Kik to work on this without dealing with Google. I couldn't find anything online about this, though. As far as I know, the variance inflation factor is not computed with pseudo-$R^{2}$ or generalized $R^{2}$ in binary outcome models (e.g. logistic regression).  Are there other measures of multi-colinearity than VIF appropriate to such models?  Why ought or ought not we think about multi-colinearity in such models? Find all continuous functions satisfying $\int_0^xf=(f(x))^2+C$ for some constant $C \neq 0$. Find all continuous functions $f$ satisfying   $$\int_0^xf=(f(x))^2+C$$ for some constant $C \neq 0$, assuming that $f$ has at most one $0$.  I have a question about the solution to this problem. It says that   Clearly $f^2$ is differentiable everywhere, its derivative at $x$ is $f(x)$ (I'm assuming that this is because the left hand side is differentiable, the right hand side must be differentiable as well). So $f$ is differentiable at $x$ whenever $f(x) \neq 0$, and  $$f(x)=2f(x)f'(x),$$ so $f'(x) = \frac{1}{2}$ at such points. Thus, $f= \frac{1}{2}x+b$ for some $b$ on any interval where it is non-zero; if $f$ has a zero, this gives two possible solutions, with two possible values of $b$, but since $f$ is assumed continuous, they must be the same. So we need $$\int_0^x(\frac{1}{2}t+b)dt=(\frac{1}{2}x+b)^2+C$$  so we must have $b=\sqrt{-C}$ or $-\sqrt{-C}$, leading to two solutions for $C \lt 0$.  I don't understand the bolded statements. First, how does the differentiability of $f^2$ guarantee that $f$ is differentiable, and why only at $x$ where $f(x) \neq 0$?  Next, why are there two possible solutions if $f$ has a zero, but since $f$ is continuous they must be the same?  Finally, does the last statement mean that if $C \gt 0$, then there is no solution, since we're restricted to real numbers here?  I would appreciate it if anyone answers my questions. how to set camera to the same view as I turn my cursor? I want to turn the camera to get the view I want, but everytime I turn the camera, I need to go to render window to check if it's the view I want. I turn the view with my mouse cursor, but that does not affect the actual camera view in rendering, can I set the camera view the same as I turn my cursor? What registers to save in the ARM C calling convention? It's been a while since I last coded arm assembler and I'm a little rusty on the details. If I call a C function from arm,  I only have to worry about saving r0-r3 and lr, right?  If the C function uses any other registers, is it responsible for saving those on the stack and restoring them? In other words, the compiler would generate code to do this for C functions.   For example if I use r10 in an assembler function, I don't have to push its value on the stack, or to memory, and pop/restore it after a C call, do I?  This is for arm-eabi-gcc 4.3.0. Switch statement fallthrough in C#? Switch statement fallthrough is one of my personal major reasons for loving switch vs. if/else if constructs. An example is in order here:  static string NumberToWords(int number) {     string[] numbers = new string[]          { "", "one", "two", "three", "four", "five",            "six", "seven", "eight", "nine" };     string[] tens = new string[]          { "", "", "twenty", "thirty", "forty", "fifty",            "sixty", "seventy", "eighty", "ninety" };     string[] teens = new string[]         { "ten", "eleven", "twelve", "thirteen", "fourteen", "fifteen",           "sixteen", "seventeen", "eighteen", "nineteen" };      string ans = "";     switch (number.ToString().Length)     {         case 3:             ans += string.Format("{0} hundred and ", numbers[number / 100]);         case 2:             int t = (number / 10) % 10;             if (t == 1)             {                 ans += teens[number % 10];                 break;             }             else if (t &gt; 1)                 ans += string.Format("{0}-", tens[t]);         case 1:             int o = number % 10;             ans += numbers[o];              break;         default:             throw new ArgumentException("number");     }     return ans; }   The smart people are cringing because the string[]s should be declared outside the function: well, they are, this is just an example.  The compiler fails with the following error:   Control cannot fall through from one case label ('case 3:') to another Control cannot fall through from one case label ('case 2:') to another   Why? And is there any way to get this sort of behaviour without having three ifs? Functions of Independent Random Variables In Java, what is the best way to determine the size of an object? How to show  tag literally in / tag? Prove that $\left(\sum^n_{k=1}x_k\right)\left(\sum^n_{k=1}y_k\right)\geq n^2$ If $x_1,...,x_n$ are positive real numbers and if $y_k=1/x_k$, prove that $$\left(\sum^n_{k=1}x_k\right)\left(\sum^n_{k=1}y_k\right)\geq n^2.$$   I've been learning induction, and I've come across this problem that I really can't even break down and begin to think about. I've been told it has something to do with Cauchy-Schwarz, but I cannot figure out how to apply it. I would appreciate help figuring out how to go about and formulate this proof. Thanks! A concise definition of a frame of reference in Newtonian mechanics? I've read  on frame of reference and also followed all of the references cited in the text (Salençon, Brillouin, Norton, etc) but I'm struggling to find any concise definition in all of that.   I would like a concise definition for a frame of reference in the context of Newtonian mechanics. This definition should not involve any additional qualifiers such as inertial and must be mature enough as to differentiate a frame of reference and a coordinate system. Is there one such definition? How can I show a leading + sign in siunitx S column? I'm using siunitx's S columntype to align numbers in a table. The numbers are percentage values which should all have a preceding sign (some - and some +).  The numbers with a "-" are shown with a sign, the "+" sign vanishes as siunitx processes the numbers.   How can I keep the sign of the numbers including the "+" sign? For a prime $p \equiv 1$ or $3$ (mod $8$), show that the equation $x^{2} + 2y^{2} = p$ has a solution. For a prime $p \equiv 1$ or $3$  (mod $8$), show that the equation $x^{2} + 2y^{2} = p$ has a solution.   I'd like to see an elementary proof. At the end of the movie we are shown      a bowl with berries in it and Seneca Crane looked like he was locked in a room with them and was supposed to eat them. Did he eat them?   Why did that happen? "Who to follow" or "whom to follow"? has a "who to follow" button on the upper side of the screen. Shouldn't it be "whom to follow"?   suggests that whom is the correct usage in a case like this. Norms Induced by Inner Products and the Parallelogram Law Let $ V $ be a normed vector space (over $\mathbb{R}$, say, for simplicity) with norm $ \lVert\cdot\rVert$.  It's not hard to show that if $\lVert \cdot \rVert = \sqrt{\langle \cdot, \cdot \rangle}$ for some (real) inner product $\langle \cdot, \cdot \rangle$, then the parallelogram equality $$ 2\lVert u\rVert^2 + 2\lVert v\rVert^2 = \lVert u + v\rVert^2 + \lVert u - v\rVert^2 $$ holds for all pairs $u, v \in V$.  I'm having difficulty with the converse.  Assuming the parallelogram identity, I'm able to convince myself that the inner product should be $$ \langle u, v \rangle = \frac{\lVert u\rVert^2 + \lVert v\rVert^2 - \lVert u - v\rVert^2}{2} = \frac{\lVert u + v\rVert^2 - \lVert u\rVert^2 - \lVert v\rVert^2}{2} = \frac{\lVert u + v\rVert^2 - \lVert u - v\rVert^2}{4} $$  I cannot seem to get that $\langle \lambda u,v \rangle = \lambda \langle u,v \rangle$ for $\lambda \in \mathbb{R}$.  How would one go about proving this?