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Aggregation operations proceed somewhat like projections The aggregate operations in SQL are count, sum, avg, min, and max: count: Consider a materialized view v = A Gcount(B) (r), which computes the count of the attribute B, after grouping r by attribute A When a set of tuples ir is inserted into r, for each tuple t in ir we do the following We look for the group tA in the materialized view If it is not present, we add (tA, 1) to the materialized view If the group tA is present, we add 1 to the count of the group When a set of tuples dr is deleted from r, for each tuple t in dr we do the following We look for the group tA in the materialized view, and subtract 1 from the count for the group If the count becomes 0, we delete the tuple for the group tA from the materialized view sum: Consider a materialized view v = A Gsum(B) (r) When a set of tuples ir is inserted into r, for each tuple t in ir we do the following We look for the group tA in the materialized view If it is not present, we add (tA, tB) to the materialized view; in addition, we store a count of 1 associated with (tA, tB), just as we did for projection If the group tA is present, we add the value of tB to the aggregate value for the group, and add 1 to the count of the group When a set of tuples dr is deleted from r, for each tuple t in dr we do the following We look for the group tA in the materialized view, and subtract tB from the aggregate value for the group We also subtract 1 from the count for the group, and if the count becomes 0, we delete the tuple for the group tA from the materialized view Without keeping the extra count value, we would not be able to distinguish a case where the sum for a group is 0 from the case where the last tuple in a group is deleted avg: Consider a materialized view v = A Gavg(B) (r) Directly updating the average on an insert or delete is not possible, since it depends not only on the old average and the tuple being inserted/deleted, but also on the number of tuples in the group.

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... how to open pdf document in picture box in windows application in c#. net ... PDFViewer/Program-Guide/ Open - PDF -Document-with-C- VB .

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The McGraw Hill Companies, 2001

CHAPTER 2:

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Embed PDF into a VB . NET form using Adobe Reader Component
The PDF Viewer Component References have been added in the new vb . net project. Switch to the Form design window of Form1. Drag the PDF Viewer Component from the Toolbox panel into the form1. Open the Configuration Manager.

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Have you googled? Here is a forum post on MSDN with a solution:

Looking at this decaying exponential it s easy to see that the voltage quickly dissipates, dying away to zero in short time This re ects the fact that this voltage is a transient Later, when we consider sinusoidal sources, we will focus on the long-term solutions that are called steady-state solutions Returning to our example, notice that when t = RC the voltage has decayed to a fraction 1/e = e 1 of its initial value The time = RC is called the time constant of the circuit When t = , the voltages and currents in the circuit are just 368% of their initial value At t = 5 , or at ve time constants, the voltages and currents are a mere 06% of their initial values So a good rule of thumb to remember is that at ve time constants the voltages and currents in an RC circuit are essentially zero EXAMPLE 6-5 A capacitor C = 1/10 Fis in an RC circuit with a resistor R = 5 in Fig 6-7 What is the time constant for this circuit as shown

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Instead, to handle the case of avg, we maintain the sum and count aggregate values as described earlier, and compute the average as the sum divided by the count min, max: Consider a materialized view v = A Gmin(B) (r) (The case of max is exactly equivalent) Handling insertions on r is straightforward Maintaining the aggregate values min and max on deletions may be more expensive For example, if the tuple corresponding to the minimum value for a group is deleted from r, we have to look at the other tuples of r that are in the same group to nd the new minimum value

The set operation intersection is maintained as follows Given materialized view v = r s, when a tuple is inserted in r we check if it is present in s, and if so we add it to v If a tuple is deleted from r, we delete it from the intersection if it is present The other set operations, union and set difference, are handled in a similar fashion; we leave details to you Outer joins are handled in much the same way as joins, but with some extra work In the case of deletion from r we have to handle tuples in s that no longer match any tuple in r In the case of insertion to r, we have to handle tuples in s that did not match any tuple in r Again we leave details to you

So far we have seen how to update incrementally the result of a single operation To handle an entire expression, we can derive expressions for computing the incremental change to the result of each subexpression, starting from the smallest subexpressions For example, suppose we wish to incrementally update a materialized view E1 1 E2 when a set of tuples ir is inserted into relation r Let us assume r is used in E1 alone Suppose the set of tuples to be inserted into E1 is given by expression D1 Then the expression D1 1 E2 gives the set of tuples to be inserted into E1 1 E2 See the bibliographical notes for further details on incremental view maintenance with expressions

FIGURE 2-8

Query optimization can be performed by treating materialized views just like regular relations However, materialized views offer further opportunities for optimization: Rewriting queries to use materialized views: Suppose a materialized view v = r 1 s is available, and a user submits a query r 1 s 1 t Rewriting the query as v 1 t may provide a more ef cient query plan than optimizing the query as submitted Thus, it is the job of the

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Displaying a PDF in a control in Visual Basic 2010 - Stack Overflow
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