What would happen if 'The One' died before fulfilling the prophecy?  I understand that in the Matrix 'The One' seems to be for all accounts immortal, but what I am curious to is if he were to say die in an accident in Zion or maybe he was murdered by someone, like agent smith was trying to do. We know he can die as he did when fight the last battle, so he is in that respect the same as everyone else in the real world.  Being that the Matrix needs the anomaly to restore balance,     The Architect: As I was saying, she stumbled upon a solution whereby   nearly ninety-nine percent of the test subjects accepted the program   provided they were given a choice - even if they were only aware of it   at a near-unconscious level. While this solution worked, it was   fundamentally flawed, creating the otherwise contradictory systemic   anomaly, that, if left unchecked, might threaten the system itself.   Ergo, those who refused the program, while a minority, would   constitute an escalating probability of disaster.       Neo: This is about Zion.        Neo: Why am I here?       The Architect: Your life is the sum of a   remainder of an unbalanced equation inherent to the programming of the   matrix. You are the eventuality of an anomaly, which despite my   sincerest efforts I have been unable to eliminate from what is   otherwise a harmony of mathematical precision. While it remains a   burden assiduously avoided, it is not unexpected, and thus not beyond   a measure of control. Which has led you, inexorably, here.       Neo: You haven't answered my question.        The Architect: Quite right. Interesting. That was quicker than the others.         The Architect: The function of the One is now to return to the source,   allowing a temporary dissemination of the code you carry, reinserting   the prime program. After which you will be required to select from the   matrix 23 individuals, 16 female, 7 male, to rebuild Zion. Failure to   comply with this process will result in a cataclysmic system crash   killing everyone connected to the matrix, which coupled with the   extermination of Zion will ultimately result in the extinction of the   entire human race.      Neo: You won't let it happen, you can't. You need   human beings to survive.      The Architect: There are levels of survival   we are prepared to accept.   So the systemic anomaly manifests and is produced when the time is right, so if that person was to die like I said earlier, would another anomaly be born, or would 'The One's' powers be transferred to what you would call a backup? Which I would not think would be far from the truth, as there are all those kids at the Oracle's residence waiting to see if they were 'The One' due to the powers that had???  Was there anything mentioned in a back story or something like that?
If Neo defies his fate and refuses to be removed from the Matrix (by taking the blue pill) what happens next?   Would another "The One" get selected by The Architect or The Oracle and is there anything to suggest that the current instance of The Matrix actually could have multiple "The One"'s (perhaps one of the 'potentials') in the event that the Chosen One manages to get himself killed or simply refuses to play ball?
(a) Determine which Fibonacci numbers are even. Use a form of mathematical induction to prove your conjecture. (b) Determine which Fibonacci numbers are divisible by 3. Use a form of mathematical induction to prove your conjecture  I understand that for part a that all multiples of 3 of n are even. So F(0),F(3),F(6)... I just don't understand how to prove it.  For part B it is the same thing except multiples of 4  Please help, thank you! An alternative to translation for non-English speakers? If my account is already a member of the administrator group why do some functions on Windows 7 require me to run them as administator? I kind of thought that was implied? How to prove that $E[Y]=E[E[E[Y|X_1, X_2]]]$ ?  PS. I don't see how $E[E(Y|X_{1},X_{2})|X_{1}]=Y[Y|X_{1}]$ and $E[Y]=E[E(Y|X_{1})]$ can be used here. But it feels close. Please help, I'm stuck PPS. Thanks @Deep North. Let's consider the case when X1 is independent of X2 What is *.pkinfo file? What is a *.pkinfo file?   Google Search results talk about Package Info files and how they contain map documents and layers, so I don't see how this is different from a .mpk file.    I also have not found anything about how to create a *.pkinfo file. Why do I have to solve for $x$ in this proof, if I choose not to find a counterexample? Fixed buffers and interior buffers are not working for a polygon that contains a hole I'm following the online qgis manual available on qgis website. I'm doing the step 21.11.3. ().   To make it simple : I have a raster converted to vector, so now it is a polygon (several polygons). I'm doing an interior buffer exactly how it is described in the manual. I didn't obtain the same result. I can see the interior buffer just in some polygons, not in all of them ->    The interior buffers appear just for those polygons, that don't contain a hole. I use qgis 2.18.3.  This is how i created the interior buffer ->    In green you see the input layer : suitable_terrain, in blue the output layer, the interior buffer.   It is not a problem of a projection. I use WGS84 UTM Zone 34S where the units are in meters. I did also the Check validity and i obtain the same result. Fibonacci Sequence and series limits 1) Let $F_1 = 1$, $F_2 = 1$, and $F_n = F_{n-1} + F_{n-2}$ for $n \geq 3$.   How do you prove that  $$\sum_{n=2}^\infty \frac1{F_{n-1} F_{n+1}} = 1$$   $$\sum_{n=2}^\infty \frac{F_n}{F_{n-1} F_{n+1}} = 1$$   Do you even use the formula $n(n+1)/2$?   I tried using $F_{n-1} = F_n - F_{n-2}$ and $F_{n+1} = F_n + F_{n-1}$ and then trying to figure out how to substitute those, but I've been going around in circles. How would you solve this? What tips can you give me to solve this? Is there any website that teaches this? I tried searching google and youtube but none were helpful.   2) Let $s_x = \tan(2/x)$. Where does this become nonincreasing? While using monotonic limits to establish there is a limit.   I was guessing you need to use upperbound and lowerbound but doesn't it go to infinity? How to show that $P(A\cup B) = P(A) + P(B) - P(A\cap B)$ Say we have a venn diagram with A on the left, intersection C in the middle and B on the right.   I want to show that $P(A\cup B) = P(A) + P(B)  - P(A\cap B)$  I know what it can be written as A+B+C, but a lot of the proofs  go from:  $P(A\cup B) = P(A) + P(B)  + P(C)$ to  $P(A) + P(B) = P(A\cup B)  + P(C) $  and then rearrange to  get the proof and get $P(A\cup B) =P(A) + P(B)-  P(C) $ . I just don't get how the left side of the inequality get go from $P(A\cup B)$  to $P(A) + P(B)$. Doesn't that only happen if we assume that they are disjoint. In this case, do we assume that they are disjoint? I know how to write the proof but just having a hard time actually understanding it. Why doesn't the Moon fall onto the Earth? Why doesn't the Moon fall onto the Earth? For that matter, why doesn't anything rotating a larger body ever fall onto the larger body? lualatex MWE not working Why are Marketing Cloud timestamps not stored in the same timezone as Sales Cloud? Free way to clone HDD to SSD? Is there a free way to clone a full Windows 7 installation from HDD to SSD? (The free part is important, I know I can pay for Acronis True Image.)      SSDs are usually much smaller than HDDs which complicates matters. For instance, I have about 50GB data, my new SSD is 80GB but I still can't use Windows clone/restore system if my HDD is something like 300GB.  Therefore, I'm looking for a third party tool that will be able to:   Create a clone of my C: partition Store it onto an external USB drive Boot from some rescue / restore CD Load the image onto the new SSD   Acronis True Image seems like a tool that should support this but it's a paid-for software and the trial version cannot create clones. Acronis Migrate Easy is a fully functional tria for 15 days but need both the HDD and SSD connected at the same time which is a bit of a problem for me as a laptop user.  P.S. I almost got there combining Windows image backup combined with Acronis True Image restore CD (which can load .vhd's) but was not able to boot as some boot information were probably lost and could not be repaired using the Win7 installation DVD. I need a way to determine the type of an HTML element in JavaScript. It has the ID, but the element itself could be a &lt;div&gt;, a &lt;form&gt; field, a &lt;fieldset&gt;, etc. How can I achieve this? \sqrt[x]{y} Breaks With unicode-math Cards changing mana color What cards across all sets allow the utilization of mana, either colorless or otherwise, as colored mana of another color?  One early example with an unlimited  1:1 ratio:     Sunglasses of Urza   Continuous Artifact: White mana in your mana pool can also be used as red mana.   What other cards have similar abilities? I want to select the value from the dropdown I am testing www.paytm.com  In that I have filled in the mobile number but I am not able to focus and select the mobile operator which is present in the dropdown just after the phone number section.  I want to select 'vodafone' as the value from the dropdown.  How to do that using webdriver  Code I have written till now  `  public class MMT {   public static void main (String[] args)  {  System.setProperty("webdriver.chrome.driver","E:/som/chromedriver/chromedriver.exe");  WebDriver driver = new ChromeDriver();  driver.get("http://paytm.com");  driver.findElement(By.id("mobile-number")).sendKeys("9876543212");`   What should be my next steps? Key Presses in Python Best way to parse command line arguments in C#? When building console applications that take parameters, you can use the arguments passed to Main(string[] args).   In the past I've simply indexed/looped that array and done a few regular expressions to extract the values. However, when the commands get more complicated, the parsing can get pretty ugly.    So I'm interested in:   Libraries that you use Patterns that you use   Assume the commands always adhere to common standards such as . Prove that if $a&gt;0$ then $1+a^9 \leq \frac{1}{a}+a^{10} $.   Using the fact that $a \gt 0$, multiply by $a$ on both sides and get everything to one side we have; $a^{11}-a^{10}-a+1 \geq 0$. By factoring $(a^{10}-1)(a-1) \geq 0 $.  I am not sure how to proceed any further.