Why is 1n divergent

The first way is the aptitude test. Individuals who are Divergent will receive inconclusive test results. The second way is to determine which people are unaffected by simulation serums. The third reason is via the truth serum, in which you cannot lie about whether you are Divergent or not. Divergence is when someone takes the aptitude test to determine the best faction for himself or herself, but instead of the usual one faction, two or more come up as a result.

The most factions a Divergent child has ever gotten is three, when Beatrice "Tris" Prior received Abnegation, Erudite and Dauntless as her test result. Being Divergent in Chicago is considered dangerous. Since a Divergent mind cannot adapt to one certain way of thinking at least for long , faction leaders are terrified as to what Divergents are capable of.

One common characteristic among Divergence is they are all in knowledge able to control simulations. In other words, they are fully aware that they are in a simulation, and they can calm down or do whatever it takes to move on to the next scenario or fully stop the simulation.

Four managed to find out that Tris was Divergent in her second fear simulation. In the simulation, she was trapped inside a glass box with water rising, entrapping her. She was able to break the glass, whereas others would find other means to escape the box. Others could escape the glass box by putting a jacket or piece of clothing into the hole where water comes out.

However, Four has most likely assumed this before the running of Tris' test. It is assumed he suspected this before, as he at the time was also thought to be Divergent however, it is later revealed that Four technically isn't Divergent.

Before the ending of Insurgent it is incorrect traveled the Divergent population is meant to rise up and control the world that they inhabit. It is revealed during Allegiant that the Divergents are actually individuals who, after generations, have recovered from the genetic damage caused to their ancestors through genetic manipulation.

Note: Unknown. His mutated genes allow him to resist serums, and act and behave like divergent and fit into more than one faction. Note: There was a possibility of Fernando being Divergent. Divergent Wiki Explore. Be careful to not misuse this theorem! This theorem gives us a requirement for convergence but not a guarantee of convergence.

In other words, the converse is NOT true. Consider the following two series. The first series diverges. Again, as noted above, all this theorem does is give us a requirement for a series to converge.

In order for a series to converge the series terms must go to zero in the limit. If the series terms do not go to zero in the limit then there is no way the series can converge since this would violate the theorem.

Again, do NOT misuse this test. If the series terms do happen to go to zero the series may or may not converge! Again, recall the following two series,. There is just no way to guarantee this so be careful! The divergence test is the first test of many tests that we will be looking at over the course of the next several sections. You will need to keep track of all these tests, the conditions under which they can be used and their conclusions all in one place so you can quickly refer back to them as you need to.

Furthermore, these series will have the following sums or values. At this point just remember that a sum of convergent series is convergent and multiplying a convergent series by a number will not change its convergence. We need to be a little careful with these facts when it comes to divergent series. Now, since the main topic of this section is the convergence of a series we should mention a stronger type of convergence. Absolute convergence is stronger than convergence in the sense that a series that is absolutely convergent will also be convergent, but a series that is convergent may or may not be absolutely convergent.

When we finally have the tools in hand to discuss this topic in more detail we will revisit it. The idea is mentioned here only because we were already discussing convergence in this section and it ties into the last topic that we want to discuss in this section.

First, we need to introduce the idea of a rearrangement. A rearrangement of a series is exactly what it might sound like, it is the same series with the terms rearranged into a different order. The issue we need to discuss here is that for some series each of these arrangements of terms can have different values despite the fact that they are using exactly the same terms. The values however are definitely different despite the fact that the terms are the same. Here is a nice set of facts that govern this idea of when a rearrangement will lead to a different value of a series.

This is here just to make sure that you understand that we have to be very careful in thinking of an infinite series as an infinite sum.

There are times when we can i. Eventually it will be very simple to show that this series is conditionally convergent. Notes Quick Nav Download.