Suppose that, in addition to edge capacities, a flow network has vertex capacities. that is each vertex vv has a limit l(v)l(v) on how much flow can pass though vv. show how to transform a flow network g = (v, e)g=(v, e) with vertex capacities into an equivalent flow network g' = (v', e')g ′ =(v ′ ,e ′ ) without vertex capacities, such that a maximum flow in g'g ′ has the same value as a maximum flow in gg. how many vertices and edges does g'g ′ have?

Word vocabulary words: print, proofread, status line, graphics, font effects, left margin, justification, line spacing, copy/paste, data. review words: font point, bold, save, center, error. fill in the correct word for the definition and then transfer the letters to the appropriate spot by number. some numbers will be found multiple times. you will end up with a quotation about…… what else? 1 2 3 4 5 6 7 8 9 10 11 12 13 14 k 16 17 18 19 20 21 22 23 24 25 8 27 28 29 w 31 32 k 34 35 36 w h 39 40 41 42 8 44 45 46 47 48 49 50 51 52 53 54 55 .1. a software function that records keystrokes on a disk or drive so information can be 5 4 52 9 later retrieved. p n 2. to produce a paper copy of information. 10 7 12u n 3. a display that shows the location of the cursor, pages, etc. 45 46 18 27 36 20 42p4. pictures or images, located in clip art or other files. 6 24 44 28 34 49 555. any mis-stroke of a key. 47 41 48 2 10 n6. allows major changes to the font such as shadow, emboss, etc. 21 25 46 35 23 21 29 14 22 17 n7. a feature that centers lines of text horizontally. 49 53 46 9 51 p8. size of the font 31 16 22 b l 9. a feature that prints designated text darker than the rest to add emphasis. 32 3 . p10. to compare copy on a display screen or printout to the original 24 39 25 23 54 9 50 3 and correct errors. j un 11. a feature that allows text to be aligned at the left 11 12 7 21 16 49 40 46 34 2 and right margins. leftn 12. amount of blank space on the left side of the paper. 8 18 41 6 34 linen 13. number of blank lines between lines of text. 17 4 49 13 1914. any information inputted into the computer. 3 4 46 44 p /p15. feature that duplicates text from one location and places it in another.

What is one reason why indoor air pollution has become an increasing problem.

Why is hard disk space important to an audio engineer? why are usb ports and firewire ports useful for an audio engineer? explain in 2-3 sentences. (3.0 points) here's a list of different audio software: ableton live apple inc.'s garageband apple inc.'s logic studio digidesign's pro tools propellerhead sofware's reason sony creative software's acid pro steinberg cubase steinberg nuendo choose one of the software programs listed above, and then go to that software program's web site. read about what the software program is used for, and then write 4-5 sentences about what you learned. (10.0 points) which type of software license is the most limiting? why? explain in 2-3 sentences. (3.0 points) when sending a midi channel voice message, how can you control the volume of the sound? explain in 2-3 sentences. (4.0 points)