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This plug-in starts by setting the string variable $date to the current date and time, in a format that is acceptable to RSS readers Then all instances of & (the XML and XHTML required form of the & symbol) are converted to just the & symbol, and then all & symbols are changed to a special token with the value !!**1**!! As described in plug-in 46, this is done because the str_replace() function seems to have a bug relating to the use of the & symbol, so the token is substituted to avoid it The & symbols will be swapped back later After that, the code has much in common with many of the other plug-ins in this chapter in that it must traverse an HTML DOM (Document Object Model), ensuring all a href= links are in absolute format It does this by creating a new DOM object in $dom and then loading it up with the HTML tags from $html Then a new XPath object is created in $xpath This is used by $xpath->evaluate to extract all the a href= tags into the $hrefs array Next the arrays $links and $to are initialized These will respectively contain all the encountered links and the absolute forms to which they should be changed A counter that will index into these arrays, $count, is also initialized

responding to movements of the right-hand shift lever, positions the chain on the rear gears The rear derailleur assembly includes two small gears The lower gear, tensioned by a spring, keeps the chain tight as it moves from larger to smaller gears The upper gear moves in or out to position the chain on the gears next to it

-- dimension members select [Customer]members on columns from [Adventure Works]

lifts the chain off of the gear teeth and moves it to another gear near it in response to the tightening or loosening of the cable that connects it to the left-hand shift lever

1 Calculate What is the IMA of a multispeed bicycle in the following instances a when the chain is set on a front gear with 52 teeth and a rear gear with 14 teeth b when the chain is set on a front gear with 42 teeth and a rear gear with 34 teeth 2 Apply Which setting in the previous problem, a or b, would you select to race with a friend on level ground To climb a steep hill

(p 258) joule (p 259) power (p 263) watt (p 263)

7:

Work is the product of the force exerted on an object and the distance the object moves in the direction of the force W Fd cos

The work done can be determined by calculating the area under a forcedisplacement graph Power is the rate of doing work, that is the rate at which energy is transferred P

(p 266)

Machines, whether powered by engines or humans, do not change the amount of work done, but they do make the task easier A machine eases the load, either by changing the magnitude or the direction of the force exerted to do work The mechanical advantage, MA, is the ratio of resistance force to effort force MA

.

If, as is usual, a dimension contains more than one hierarchy (attribute and user hierarchies), then you can t use members to list all the members in the dimension Anyway, listing all the members of a large dimension might easily return millions of members It makes more sense to divide up the dimension Using hierarchies enables you to do this

ideal mechanical advantage (p 267) efficiency (p 268) compound machine (p 269)

In all real machines, MA is less than IMA The efficiency of a machine can by found from the real and ideal mechanical advantages e

34 Create a concept map using the following terms:

force, displacement, direction of motion, work, change in kinetic energy a Which person does more work Explain your answer b Which person produces more power Explain your answer