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I realize that you are looking for a Mac OS application, but for the benefit of ... so they do much better with handwriting than any straight OCR software out there. ... VelOCRaptor.com/ seems to be an affordable (FREE!) solution for OS X . It has a ...

You just saw how to use a for each loop over an array, stepping through the values of an array and executing a block of code for each one. Now see if you can turn this situation inside out in your head. Before, you were acting directly on the array. What if, instead, you ask the array to operate on itself You could pass the array a function rather than executing code inside the loop. This slight change of perspectives is embodied by the idea of functional programming. You ll see more of Array s support for functional programming in the filter() and map() methods later. You use the forEach() method to make the array apply a function to each of its items:



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f (A)

menuItems.forEach(makeMenuItem);

// // //

The function used for a forEach() call takes three parameters. The rst is the value of the element in the array, the second is the index of the element, and the third is the array itself. It should match the following function signature:

Let s contrast all these methods of looping through an array in Example 8-5. As always, feel free to modify the code and play with it. EXAMPLE 8-5

Find Montgomery product n b , where a = aR (mod N ) and b = bR (mod N ) Given RR - NN = 1 Montgomery(a , 6 ) z = a b T = ( 2 (mod R ) ) N (mod R) s = ( z + r N ) / R (mod N ) i f s 2 N then s = s - AT // extra reduction





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With these points in mind, here is a look at the best free OCR software and utilities for Mac users.

package { import com.actionscriptbible.Example; public class ch8ex5 extends Example { public function ch8ex5() {

Figure 23.2 A Galois connection. a set of concepts and we can build a hierarchy of concepts also known as a Galois Lattice . A pair (f (A), h (B)) of maps is called a Galois connection if and only if A h B B f A , as we can see in Figure 23.2. It is also known that f A = fhf A and h B = hfh B .

//here s an extra little hack you might find useful var menuItems:Array = "About Blog Discography Videos".split(" "); trace("---- for loop"); for (var i:int = 0; i < menuItems.length; i++) { makeMenuItem(menuItems[i]); } trace("---- for each loop"); for each (var menuItem:String in menuItems) { makeMenuItem(menuItem); } trace("---- Array.forEach()"); menuItems.forEach(makeMenuItem); } protected function makeMenuItem(element:String, ...rest):void { //just pretend trace("making menu item " + element); } } }

// //

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Need OCR for PDF on Mac OS including Sierra? Here's a good Mac alternative to FreeOCR to edit and convert scanned PDF to Word, ... If you want to give this FreeOCR for Mac alternative a spin, you can easily download a trial version of the ...

Note here that because you don t use the parameters index and array for anything, I ve made them optional by replacing the arguments with ...rest. That way, you can call makeMenuItem() with only one parameter or with the three that forEach() uses. Review the ...rest parameter in 3, Functions and Methods.

Keep in mind that if you use the RegExp constructor to create expressions, you can pass in an arbitrary String for the source of the pattern. This means that you can, using String manipulation, programmatically craft a pattern to t the situation at hand, as shown in Example 12-11.

Find y = zd (mod N ) , where d = (do, d l , dz, . . . ,d n - l ) with do = 1 t = XR (mod N ) / / Montgomery form

EXAMPLE 12-11

A binary relation can be decomposed into a minimal set of optimal rectangles (or optimal concepts).

package { import com.actionscriptbible.Example; public class ch12ex11 extends Example { public function ch12ex11() { trace(removeLetters("catch", "cathy catnaps in cathay")); //y nps in y trace(removeLetters("bol", "Bob Loblaw Law Blog")); // aw aw g } public function removeLetters(inWord:String, fromWord:String):String { return fromWord.replace(new RegExp("[" + inWord + "]", "gi"), ""); } } }

1 s = h/Iontgomery(s , s ) i f di == 1 t h e n .s = Montgomery(s , t )

The preceding example removes all letters found in a word from another bit of text. It does so by turning your blacklisted-letters string into a character class, dynamically generating the regular expression to remove all offensive letters.

Whether a RegExp object is created with the RegExp constructor or a literal, you can access the public properties that RegExp de nes to recall information about the expression. Keep in mind that all these properties but one are read-only. They are de ned during construction and are not modi ed subsequently:

12 -

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