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## Dynamic Multiple Lists in Excel – Tables

Similar situations occur with binary. If you try and represent a fraction where the denominator (the bit below the line in the fraction) is not a power of 2 you will also get a rounding errors with a given number of digits.

With the 1’s column, the value of the column (110) does actually fit into our reminder (110) so we put a 1 in that column and again subtract the value of the column (110) from our remainder (110) to get a new remainder (010). This time we have a remainder of 0 so at this point we are done.

All we have to do now is to combine the integer part and fractional parts together on either side of the radix point. This gives us the number 5.62510.

So we have a fractional part that represents 0.62510.

So getting back to our example. Say we wanted to represent the binary fraction 101.1012 in decimal. Well, we could first break it down into its constituent components as follows:

March 25, 2014Filed Under: Computer Science Tagged With: Binary, Computer Science

Because no operation requires random access to the root nodes of the binomial trees, the roots of the binomial trees can be stored in a linked list, ordered by increasing order of the tree.

To delete an element from the heap, decrease its key to negative infinity (that is, some value lower than any element in the heap) and then delete the minimum in the heap.

Each tree has order at most log n and therefore the running time is O(log n).

As mentioned above, the simplest and most important operation is the merging of two binomial trees of the same order within a binomial heap. Due to the structure of binomial trees, they can be merged trivially. As their root node is the smallest element within the tree, by comparing the two keys, the smaller of them is the minimum key, and becomes the new root node. Then the other tree becomes a subtree of the combined tree. This operation is basic to the complete merging of two binomial heaps.

In computer science, a binomial heap is a heap similar to a binary heap but also supports quick merging of two heaps. This is achieved by using a special tree structure. It is important as an implementation of the mergeable heap abstract data type (also called meldable heap), which is a priority queue supporting merge operation.

Inserting a new element to a heap can be done by simply creating a new heap containing only this element and then merging it with the original heap. Due to the merge, insert takes O(log n) time. However, across a series of n consecutive insertions, insert has an amortized time of O(1) (i.e. constant).

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While there is less potential profit with this approach compared to the example of a traditional out-of-the-money call write given above, an in-the-money call write does offer a near delta neutral, pure time premium collection approach due to the high delta value on the in-the-money call option (very close to 100). While there is no room to profit from the movement of the stock, it is possible to profit regardless of the direction of the stock, since it is only decay-of-time premium that is the source of potential profit.

Alternative Covered Call Construction As you can see in Figure 1, we could move into the money for options to sell, if we can find time premium on the deep in-the-money options. Looking at the May 25 strike, which is in-the-money by $13.60 (intrinsic value), we see that there is some decent time premium available for selling. The May 25 call has $1.20 ($120) in time premium (bid price premium) value. In other words, if we sold the May 25, we would collect $120 in time premium (our maximum potential profit). (Find out about another approach to trading covered call. Read Trade The Covered Call - Without The Stock.)

The maximum return potential at the strike by expiration is 52.1%. But there is very little downside protection, and a strategy constructed this way really operates more like a long stock position than a premium collection strategy. Downside protection from the sold call offers only 6% of cushion, after which the stock position can experience un-hedged losses from further declines. Clearly, the risk/reward seems misplaced.

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The company asks for ID to confirm to the KYC requirements but doesn’t provide details on how much time does it take to complete the formality. The withdrawal in the site is through the support services and takes about 3 to 5 days, which is a little longer than the other binary options brokers. Though it does not charge any fees on withdrawal, it has caps of minimum withdrawal amount. The minimum withdrawal amount for credit cards is pegged at $50 and for wire transfer, it has been kept at $500. This is a bit let down, as competitive options broker allows you to withdraw as low as $10 and even less, for some specific cases.

The benefit of a good broker is that there will be processes and instructions in place in the case should you require support from the TradeThunder team. The company is located at 3rd Floor, C&H Towers, Corner of Great George and Great Marlborough Streets, Roseau 00152 Commonwealth of Dominica. It is also heartening to see that the business offers service support to its clients over a phone (United Kingdom: +44-2031 501 861, Canada: +1-613-8007 560 and the United States: +1-646-755-6101), e-mail and also through live chat. The customer support is available 24 x 7 and the support team is responsive too. The company also offers call back option to its clients for their various account opening requirements.

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The company offers basically two types of deposit methods; credit card and wire transfer. The company accepts any Visa or Master credit card to deposit and withdraw funds and has not deposit charges. Though the company offers minimum deposit amount of $20, it recommends depositing $200 for its standard account with some good benefits. The company limits the maximum deposit amounts to $5000 and for more than $5000 deposition you need to get the help of their ever attentive support.

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A study of selected texts or topics in the history of philosophy. Usually the focus will be on a single major text. May be taken for credit nine times with changed content.

Supervised study of individually selected philosophical topics. S/U grades permitted.

PHIL 152. Philosophy of Social Science (4)

PHIL 115. Philosophical Methods Seminar (4)

PHIL 201A. Core Course in History (4)

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