Here are Todays Amazing Split Field Deals!
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 COKIN A B FILTER 62 PIECE SET $275.00 Time Remaining: 1d 5h 17m Buy It Now for only: $350.00 Buy It Now | Bid now | Add to watch list |
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 52mm Split Field Two Field Special Effects Lens Filter Different Depth Of View $14.99 Time Remaining: 11d 4h 2m Buy It Now for only: $14.99 Buy It Now | Add to watch list |
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 TIFFEN 49MM +1 SPLIT FIELD FILTER $9.92 Time Remaining: 2d 18h 47m Buy It Now for only: $9.92 Buy It Now | Add to watch list |
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 Hoya 58mm Circular Polarizer Glass Filter G Series G58CRPLGB $29.95 Time Remaining: 28d 1h 39m Buy It Now for only: $29.95 Buy It Now | Add to watch list |
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 Vivitar Circular Polarizer CPL Glass Filter 72mm VIVCPL72 $13.25 Time Remaining: 26d 19h 32m Buy It Now for only: $13.25 Buy It Now | Add to watch list |
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 67mm Split Field Two Field Special Effects Lens Filter Different Depth Of View $24.99 Time Remaining: 13d 9h 4m Buy It Now for only: $24.99 Buy It Now | Add to watch list |
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 NICE HOYA 52MM SPLIT FIELD LENS FILTER $8.50 Time Remaining: 3d 6h 53m Buy It Now for only: $8.50 Buy It Now | Add to watch list |
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 49mm graduated Grey ND lens filter screw mount gradual $9.95 Time Remaining: 26d 21h 45m Buy It Now for only: $9.95 Buy It Now | Add to watch list |
 Heliopan 77mm Variable Neutral Density Filter 1 66 Stops made in Germany $439.99 Time Remaining: 18d 17h 45m Buy It Now for only: $439.99 Buy It Now | Add to watch list |
 Hoya 62mm Circular Polarizer Glass Filter G Series G62CRPLGB $39.95 Time Remaining: 8d 47m Buy It Now for only: $39.95 Buy It Now | Add to watch list |
 67 mm Graduated Gradual Grey ND4 Lens Filter 2 Stop $11.95 Time Remaining: 26d 21h 45m Buy It Now for only: $11.95 Buy It Now | Add to watch list |
 52mm graduated Grey ND lens filter screw mount gradual $9.95 Time Remaining: 24d 1h 40m Buy It Now for only: $9.95 Buy It Now | Add to watch list |
 82mm Split Field Two Field Special Effects Lens Filter Different Depth OF View $39.99 Time Remaining: 22d 1h 16m Buy It Now for only: $39.99 Buy It Now | Add to watch list |
 Hoya 52mm Circular Polarizer HD 8 Layer MC Filter XHD52CRPL $48.49 Time Remaining: 29d 47m Buy It Now for only: $48.49 Buy It Now | Add to watch list |
 Vivitar Circular Polarizer CPL Glass Filter 58mm VIVCPL58 $8.85 Time Remaining: 8d 5h 54m Buy It Now for only: $8.85 Buy It Now | Add to watch list |
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 New Macro Extension Tube Ring FOR Canon EOS Rebel XT XTi XS XSi $73.81 Time Remaining: 17h 26m Bid now | Add to watch list |
 Hoya 49mm Split Field Special Effect Filter Brand NEW $31.95 Time Remaining: 27d 21h 33m Buy It Now for only: $31.95 Buy It Now | Add to watch list |
 Hoya 62mm Digital Filter Kit With UV Circular Polarizer NDX8 $99.95 Time Remaining: 19d 2h 51m Buy It Now for only: $99.95 Buy It Now | Add to watch list |
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 55MM SPLIT FIELD FILTER $9.92 Time Remaining: 28d 19h 16m Buy It Now for only: $9.92 Buy It Now | Add to watch list |
 Hoya 49mm Circular Polarizer Glass Filter B49CRPL $29.50 Time Remaining: 8d 47m Buy It Now for only: $29.50 Buy It Now | Add to watch list |
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 82 mm Graduated Gradual Grey ND4 Lens Filter 2 Stop $14.95 Time Remaining: 22d 1h 24m Buy It Now for only: $14.95 Buy It Now | Add to watch list |
 HOYA 49MM SPLIT FIELD SPECIAL EFFECT FILTER $12.53 Time Remaining: 13d 19h 55m Buy It Now for only: $12.53 Buy It Now | Add to watch list |
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 58mm CPL ND4 UV 3 Filter Set for Canon Olympus Nikon $21.45 Time Remaining: 8d 5h 6m Buy It Now for only: $21.45 Buy It Now | Add to watch list |
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 49 mm Graduated Gradual Grey ND4 Lens Filter 2 Stop $9.95 Time Remaining: 22d 1h 23m Buy It Now for only: $9.95 Buy It Now | Add to watch list |
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 49mm Hoya Split Field Lens filter Japan Two Field New $19.99 Time Remaining: 6h 28m Buy It Now for only: $19.99 Buy It Now | Add to watch list |
 GENUINE NEW COKIN A SERIES SPLIT FIELD +2 FILTER A112 $21.17 Time Remaining: 25d 19h 30m Buy It Now for only: $21.17 Buy It Now | Add to watch list |
 Hoya 55mm LINEAR Polarizer AUTHORIZED HOYA USA DEALER $32.85 Time Remaining: 5d 2h 59m Buy It Now for only: $32.85 Buy It Now | Add to watch list |
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 82 mm Graduated Gradual Grey ND4 Lens Filter 2 Stop $14.95 Time Remaining: 26d 21h 45m Buy It Now for only: $14.95 Buy It Now | Add to watch list |
 Zeikos ZE CVAFN Auto Focus Macro Extension Tubes for Nikon $65.00 Time Remaining: 16d 7h 41m Buy It Now for only: $65.00 Buy It Now | Add to watch list |
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 FUJINON A20x86BRM 2 3 Professional Internal Focus lens for 2 3inch Camcorders $950.00 Time Remaining: 6d 7h 34m Buy It Now for only: $1,200.00 Buy It Now | Bid now | Add to watch list |
 62 mm Graduated Gradual Grey ND4 Lens Filter 2 Stop $11.95 Time Remaining: 26d 21h 45m Buy It Now for only: $11.95 Buy It Now | Add to watch list |
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More Great Information on Split Field:
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Article Source: http://www.earticlesonline.com/Article/How-to-Split--PST-Files-with-Third-Party-Split-PST-Software--/978743
Find the splitting field K in C of the polynomial f(x) = x^4 + 1 over Q, and determine [K:Q].?
Thanks for the help!
Since x^4 + 1 = (x^2 + 1)^2 - 2x^2 = (x^2 + x√2 + 1)(x^2 - x√2 + 1), we see that Q[√2] ⊆ K.
(It's easy to see that [Q[√2] : Q] = 2, since √2 has minimal polynomial x^2 - 2 over Q of degree 2.)
Moreover, x^2 + x√2 + 1 = 0 has roots x = (-√2 ± i√2)/2,
and x^2 - x√2 + 1 = 0 has roots x = (√2 ± i√2)/2.
Since i is clearly not in Q[√2], we have [Q[√2, i]: Q[√2]] > 1.
Moreover, i is a zero of x^2 - 1 (over Q[√2]); so [Q[√2, i]: Q[√2]] ≤ 2.
==> [Q[√2, i]: Q[√2]] = 2.
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Therefore, K = Q[√2, i], which has degree 4 over Q, since
[K : Q] = [K : Q[√2]] [Q[√2] : Q] = 2 * 2 = 4.
I hope this helps!
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