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q
403.1999969 0 0 336.9600067 0 239.0399933 cm
/Im0 Do
Q
q
403.1999969 0 0 239.0399933 0 0 cm
/Im1 Do
Q
BT
/T1_0 1 Tf
0.05 Tc 3 Tr 10.6591 0 0 9.7 20.02 551.35 Tm
(S\\\(JU{x}\). )Tj
/T1_1 1 Tf
0.039 Tc 9.1 0 0 9.1 75.69 551.35 Tm
(Consequently, )Tj
/T1_2 1 Tf
0.0321 Tc 10 0 0 10 135.46 551.35 Tm
(1/;-l\(lo\)n1/;-l\(l\) )Tj
/T1_0 1 Tf
0 Tc 9.1 0 0 9.1 206.49 551.35 Tm
(= )Tj
/T1_1 1 Tf
0.05 Tc 9.3482 0 0 9.1 216.16 551.35 Tm
({I} )Tj
0.0107 Tc 9.1 0 0 9.1 232.64 551.35 Tm
(for )Tj
0.05 Tc 9.1873 0 0 9.1 246.5 551.35 Tm
(each )Tj
/T1_2 1 Tf
-0.035 Tc 6.1555 0 0 9.7 267.75 551.35 Tm
(1=1= )Tj
/T1_1 1 Tf
6.043 0 0 9.1 284.37 551.35 Tm
(10 )Tj
0.05 Tc 9.1016 0 0 9.1 293.69 551.35 Tm
(in )Tj
/T1_2 1 Tf
0.0193 Tc 9.7 0 0 9.7 304.08 551.35 Tm
(D. )Tj
/T1_1 1 Tf
0.05 Tc 9.8034 0 0 9.1 318.7 551.35 Tm
(This )Tj
9.2869 0 0 9.1 340.97 551.35 Tm
(shows )Tj
10.3974 0 0 9.1 19.95 535.51 Tm
(that )Tj
-0.035 Tc 6.043 0 0 9.1 41.19 535.51 Tm
(10 )Tj
9.0754 0 0 9.1 51.41 535.51 Tm
(is )Tj
0.05 Tc 9.8357 0 0 9.1 61 535.51 Tm
(the )Tj
0.0495 Tc 9.1 0 0 9.1 77.58 535.51 Tm
(unique )Tj
0.0336 Tc 3.354 0 Td
(line )Tj
0.05 Tc 9.1816 0 0 9.1 126.27 535.51 Tm
(of )Tj
9.4 0 0 9.1 137.12 535.51 Tm
(Proposition )Tj
/T1_0 1 Tf
0 Tc 9 0 0 9 189.07 535.51 Tm
(1 )Tj
/T1_1 1 Tf
0.05 Tc 9.5174 0 0 9.1 197 535.51 Tm
(and )Tj
0.0418 Tc 9.1 0 0 9.1 215.09 535.51 Tm
(hence )Tj
/T1_3 1 Tf
0.0219 Tc 10.4 0 0 10.4 241.23 535.51 Tm
(XeD\) )Tj
/T1_0 1 Tf
0 Tc 9.3 0 0 9.3 268.05 535.51 Tm
(= )Tj
/T1_1 1 Tf
-0.0248 Tc 9.1 0 0 9.1 278.69 535.51 Tm
(1/;-1\(10\) )Tj
0 Tc 13.9 0 0 13.9 312.41 535.51 Tm
(= )Tj
0.05 Tc 11.3682 0 0 10 322.5 535.51 Tm
(J. )Tj
/T1_0 1 Tf
0 Tc 9 0 0 9 358.81 535.51 Tm
(0 )Tj
/T1_1 1 Tf
0.05 Tc 10.7853 0 0 9.1 31.62 517.33 Tm
(Lemma )Tj
/T1_0 1 Tf
-0.0275 Tc 9.7 0 0 9.7 70.8 517.33 Tm
(3. )Tj
/T1_1 1 Tf
0.036 Tc 9.1 0 0 9.1 83.84 517.33 Tm
(For )Tj
/T1_2 1 Tf
0 Tc 1.874 0 Td
(J)Tj
/T1_3 1 Tf
5.8001 0 0 5.8001 105.92 515.89 Tm
(1)Tj
0.766 0.248 Td
(, )Tj
/T1_0 1 Tf
9.7 0 0 9.7 114.41 517.33 Tm
(J)Tj
/T1_1 1 Tf
6.2 0 0 6.2 119.49 515.71 Tm
(2 )Tj
/T1_0 1 Tf
9.7 0 0 9.7 126.85 517.33 Tm
[(E )42(8)]TJ
/T1_1 1 Tf
6.2 0 0 6.2 141.59 515.89 Tm
(3)Tj
0.723 0.232 Td
(, )Tj
/T1_0 1 Tf
0.05 Tc 12.5211 0 0 9.7 151.32 517.33 Tm
(r\(J)Tj
/T1_1 1 Tf
0 Tc 6.2 0 0 6.2 167.17 515.89 Tm
(l)Tj
0.669 0.232 Td
(\) )Tj
12.8 0 0 12.8 177.28 517.33 Tm
(n )Tj
/T1_0 1 Tf
0.05 Tc 12.5211 0 0 9.7 185.34 517.33 Tm
(r\(J)Tj
/T1_1 1 Tf
0 Tc 6.2 0 0 6.2 200.85 516.07 Tm
(2)Tj
0.724 0.203 Td
(\) )Tj
/T1_0 1 Tf
8.7 0 0 8.7 211.36 517.33 Tm
(= )Tj
/T1_1 1 Tf
11.4 0 0 11.4 221.28 517.33 Tm
(0 )Tj
-0.0085 Tc 9.1 0 0 9.1 228.89 517.33 Tm
(iff )Tj
/T1_0 1 Tf
0.0197 Tc 9.7 0 0 9.7 240.57 517.33 Tm
(IJl )Tj
/T1_1 1 Tf
0 Tc 12.8 0 0 12.8 254.32 517.33 Tm
(n )Tj
/T1_0 1 Tf
9.7 0 0 9.7 262.91 517.33 Tm
(J)Tj
/T1_1 1 Tf
6.2 0 0 6.2 268.17 516.42 Tm
(2)Tj
5 0 0 5 273.79 517.33 Tm
(1 )Tj
13 0 0 13 278.75 517.33 Tm
(= )Tj
/T1_0 1 Tf
0.05 Tc 11.3219 0 0 8.5 288.51 517.33 Tm
(l. )Tj
/T1_1 1 Tf
10.5354 0 0 9.1 31.81 499.69 Tm
(Proof: )Tj
9.2133 0 0 9.1 65.17 499.69 Tm
(Suppose )Tj
0.0232 Tc 9.1 0 0 9.1 101.06 499.69 Tm
(first )Tj
0.05 Tc 10.2879 0 0 9.1 120.03 499.69 Tm
(that )Tj
/T1_0 1 Tf
0.0387 Tc 9.7 0 0 9.7 140.31 499.69 Tm
(IJ)Tj
/T1_1 1 Tf
0 Tc 6.4001 0 0 6.4001 147.92 498.07 Tm
(1)Tj
/T1_0 1 Tf
0.05 Tc 11.4881 0 0 9.7 151.88 499.69 Tm
(nJ)Tj
/T1_1 1 Tf
0 Tc 6.4001 0 0 6.4001 163.94 498.25 Tm
(2)Tj
5 0 0 5 168.85 499.69 Tm
(1 )Tj
/T1_0 1 Tf
8.7 0 0 8.7 173.74 499.69 Tm
(= )Tj
/T1_1 1 Tf
9.1 0 0 9.1 183.87 499.69 Tm
(0 )Tj
0.05 Tc 9.6349 0 0 9.1 191.06 499.69 Tm
(and )Tj
0.0333 Tc 9.1 0 0 9.1 208.36 499.69 Tm
(let )Tj
/T1_3 1 Tf
-0.0131 Tc 8.9 0 0 8.9 221.16 499.69 Tm
(a, )Tj
0 Tc 9.1 0 0 9.1 230.33 499.69 Tm
(b )Tj
/T1_1 1 Tf
0.05 Tc 9.152 0 0 9.1 236.35 499.69 Tm
(be )Tj
9.8357 0 0 9.1 247.66 499.69 Tm
(the )Tj
9.5826 0 0 9.1 263.32 499.69 Tm
(two )Tj
0.0473 Tc 9.1 0 0 9.1 281.17 499.69 Tm
(points )Tj
0.05 Tc 9.1016 0 0 9.1 308.09 499.69 Tm
(in )Tj
/T1_0 1 Tf
10.8194 0 0 9.7 318.28 499.69 Tm
(S\\\(J)Tj
/T1_1 1 Tf
0 Tc 6.4001 0 0 6.4001 338.54 498.61 Tm
(1 )Tj
/T1_0 1 Tf
0.05 Tc 10.5887 0 0 9.7 343.02 499.69 Tm
(UJ)Tj
/T1_1 1 Tf
0 Tc 6.4001 0 0 6.4001 355.64 498.61 Tm
(2)Tj
0.05 Tc 8.7934 0 0 6.4001 360.31 499.69 Tm
(\). )Tj
10.501 0 0 9.1 20.03 484.03 Tm
(NoticethatKl )Tj
/T1_0 1 Tf
0 Tc 8.7 0 0 8.7 84.1 484.03 Tm
(= )Tj
0.05 Tc 9.9864 0 0 9.7 94.42 484.03 Tm
(JlU{a} )Tj
/T1_1 1 Tf
10.9378 0 0 9.1 126.97 484.03 Tm
(andK)Tj
0 Tc 5.8001 0 0 5.8001 152.25 482.77 Tm
(2 )Tj
11.9 0 0 11.9 159.42 484.03 Tm
(= )Tj
/T1_2 1 Tf
9.1 0 0 9.1 170.01 484.03 Tm
(J)Tj
/T1_3 1 Tf
6 0 0 6 175.12 482.77 Tm
(2)Tj
-0.035 Tc 9.7942 0 0 10.1 179.51 484.03 Tm
(U{b} )Tj
/T1_1 1 Tf
0.029 Tc 9.1 0 0 9.1 202.23 484.03 Tm
(are )Tj
0.0281 Tc 1.602 0 Td
(disjoint )Tj
0.0264 Tc 3.497 0 Td
(so )Tj
0.05 Tc 9.3426 0 0 9.1 259.57 484.03 Tm
(by )Tj
0.0319 Tc 9.1 0 0 9.1 272.95 484.03 Tm
(\(1\)\(i\),1/;\(K1\) )Tj
0 Tc 11.9 0 0 11.9 328.62 484.03 Tm
(= )Tj
/T1_2 1 Tf
-0.0244 Tc 10 0 0 10 338.5 484.03 Tm
(1/;\(K)Tj
/T1_3 1 Tf
0 Tc 6 0 0 6 358.36 482.95 Tm
(2)Tj
0.847 0.18 Td
(\) )Tj
/T1_1 1 Tf
0.05 Tc 9.8699 0 0 9.1 20.06 468.37 Tm
(and )Tj
/T1_0 1 Tf
12.0893 0 0 9.7 40.27 468.37 Tm
(r\(J)Tj
/T1_1 1 Tf
0 Tc 6.5001 0 0 6.5001 55.58 466.93 Tm
(1)Tj
0.665 0.222 Td
(\) )Tj
/T1_0 1 Tf
9.7 0 0 9.7 66.41 468.37 Tm
(n )Tj
0.05 Tc 9.974 0 0 9.7 75.95 468.37 Tm
(r\(Jz\) )Tj
/T1_2 1 Tf
-0.035 Tc 3.7809 0 0 9.7 103.94 468.37 Tm
(=1= )Tj
/T1_1 1 Tf
8.5666 0 0 10.9 116.55 468.37 Tm
(0. )Tj
0.05 Tc 9.1203 0 0 9.1 132.52 468.37 Tm
(Next )Tj
9.3714 0 0 9.1 157.01 468.37 Tm
(suppose )Tj
8.5241 0 0 6.5001 195.96 468.37 Tm
(IJI )Tj
/T1_0 1 Tf
0 Tc 9.7 0 0 9.7 210.41 468.37 Tm
[(n )-162(J)]TJ
/T1_1 1 Tf
6.5001 0 0 6.5001 224.96 467.47 Tm
(2)Tj
5 0 0 5 229.51 468.37 Tm
(1 )Tj
/T1_0 1 Tf
8.7 0 0 8.7 236.74 468.37 Tm
(= )Tj
9.7 0 0 9.7 248.81 468.37 Tm
(1 )Tj
/T1_1 1 Tf
0.05 Tc 10.2223 0 0 9.1 258.2 468.37 Tm
(and )Tj
0.0432 Tc 9.1 0 0 9.1 278.92 468.37 Tm
(let )Tj
/T1_3 1 Tf
0 Tc 8.8 0 0 8.8 294.22 468.37 Tm
(x )Tj
/T1_0 1 Tf
9.7 0 0 9.7 304.69 468.37 Tm
[(E )-222(J)]TJ
/T1_1 1 Tf
9.1 0 0 9.1 320.81 467.47 Tm
(1 )Tj
/T1_0 1 Tf
9.7 0 0 9.7 328.49 468.37 Tm
(n )Tj
/T1_2 1 Tf
9.1 0 0 9.1 338.49 468.37 Tm
(J)Tj
/T1_3 1 Tf
6 0 0 6 343.78 467.47 Tm
(2)Tj
0.788 0.15 Td
(\225 )Tj
/T1_0 1 Tf
0.05 Tc 12.7834 0 0 9.1 360.01 468.37 Tm
(If )Tj
/T1_2 1 Tf
0 Tc 9.2 0 0 9.2 19.83 453.07 Tm
(I )Tj
/T1_0 1 Tf
8.3 0 0 8.3 25.91 453.07 Tm
(E )Tj
0.05 Tc 12.3306 0 0 10 34.86 453.07 Tm
(r\( )Tj
/T1_2 1 Tf
0 Tc 9.1 0 0 9.1 44.91 453.07 Tm
(J)Tj
/T1_3 1 Tf
6.4001 0 0 6.4001 50.29 451.45 Tm
(1)Tj
0.697 0.253 Td
(\) )Tj
/T1_0 1 Tf
11.2 0 0 11.2 59.9 453.07 Tm
(n )Tj
0.05 Tc 12.3306 0 0 10 68.34 453.07 Tm
(r\( )Tj
/T1_2 1 Tf
0 Tc 9.1 0 0 9.1 78.57 453.07 Tm
(J)Tj
/T1_3 1 Tf
6.4001 0 0 6.4001 83.67 451.45 Tm
(2)Tj
0.656 0.253 Td
(\) )Tj
/T1_1 1 Tf
0.05 Tc 9.3487 0 0 9.1 94.48 453.07 Tm
(then )Tj
/T1_2 1 Tf
10.6567 0 0 10 116.12 453.07 Tm
({x} )Tj
/T1_0 1 Tf
0 Tc 8.3 0 0 8.3 133.19 453.07 Tm
(U )Tj
/T1_2 1 Tf
9.2 0 0 9.2 141.69 453.07 Tm
(I )Tj
/T1_1 1 Tf
-0.0169 Tc 9.1 0 0 9.1 147.35 453.07 Tm
(is )Tj
0 Tc 1.066 0 Td
(a )Tj
0.0425 Tc 0.876 0 Td
(4-set )Tj
0.05 Tc 9.5989 0 0 9.1 188.01 453.07 Tm
(of )Tj
9.1208 0 0 9.1 199.27 453.07 Tm
(points )Tj
0.0316 Tc 9.1 0 0 9.1 227.06 453.07 Tm
(from )Tj
/T1_0 1 Tf
0.05 Tc 11.3032 0 0 8.3 249.04 453.07 Tm
(PUS )Tj
/T1_1 1 Tf
9.1499 0 0 9.1 277.65 453.07 Tm
(appearing )Tj
9.7676 0 0 9.1 320.68 453.07 Tm
(in )Tj
9.3571 0 0 9.1 332.26 453.07 Tm
(two )Tj
9.3765 0 0 9.1 351.1 453.07 Tm
(line )Tj
9.3176 0 0 9.1 19.85 437.05 Tm
(sets )Tj
9.2617 0 0 9.1 39.51 437.05 Tm
(contradicting )Tj
0.009 Tc 9.1 0 0 9.1 98.17 437.05 Tm
(\(3\). )Tj
0.04 Tc 2.124 0 Td
(Finally, )Tj
0 Tc 3.791 0 Td
(f )Tj
/T1_0 1 Tf
0.0026 Tc 12.9 0 0 12.9 159.3 437.05 Tm
(III )Tj
0 Tc 9.7 0 0 9.7 174.05 437.05 Tm
[(n )-88(J)]TJ
/T1_1 1 Tf
6.4001 0 0 6.4001 188.06 435.97 Tm
(2)Tj
5 0 0 5 192.97 437.05 Tm
(1 )Tj
/T1_0 1 Tf
8.7 0 0 8.7 198.58 437.05 Tm
(= )Tj
/T1_1 1 Tf
9.1 0 0 9.1 208.93 437.05 Tm
(2 )Tj
0.0432 Tc 0.847 0 Td
(let )Tj
0 Tc 8.5 0 0 8.5 230.85 437.05 Tm
(e )Tj
/T1_0 1 Tf
9.7 0 0 9.7 238.27 437.05 Tm
[(E )-18(J)]TJ
/T1_1 1 Tf
6.4001 0 0 6.4001 252.68 436.15 Tm
(1 )Tj
/T1_2 1 Tf
0.05 Tc 12.5977 0 0 12.4 256.72 437.05 Tm
(\\J)Tj
/T1_3 1 Tf
0 Tc 6.2 0 0 6.2 267.1 436.15 Tm
(2 )Tj
/T1_1 1 Tf
0.05 Tc 9.5174 0 0 9.1 275.66 437.05 Tm
(and )Tj
/T1_2 1 Tf
0 Tc 9.1 0 0 9.1 294.16 437.05 Tm
(d )Tj
/T1_0 1 Tf
9.7 0 0 9.7 302.35 437.05 Tm
[(E )-55(J)]TJ
/T1_1 1 Tf
6.4001 0 0 6.4001 316.76 436.15 Tm
(2 )Tj
/T1_2 1 Tf
0.05 Tc 12.5977 0 0 12.4 320.98 437.05 Tm
(\\J)Tj
/T1_3 1 Tf
0 Tc 6.2 0 0 6.2 331.45 435.97 Tm
(1)Tj
0.719 0.174 Td
(\225 )Tj
/T1_1 1 Tf
0.05 Tc 10.2902 0 0 9.1 343.89 437.05 Tm
(Then )Tj
/T1_3 1 Tf
-0.035 Tc 9.6184 0 0 10.1 19.63 421.57 Tm
(1/;\(J)Tj
0 Tc 6.4001 0 0 6.4001 36.07 420.31 Tm
(1 )Tj
/T1_0 1 Tf
9.7 0 0 9.7 42.26 421.57 Tm
(U )Tj
/T1_2 1 Tf
0.05 Tc 9.7173 0 0 9.7 51.15 421.57 Tm
({d}\) )Tj
/T1_0 1 Tf
0 Tc 8.1 0 0 8.1 71.87 421.57 Tm
(= )Tj
/T1_3 1 Tf
-0.035 Tc 9.463 0 0 10.1 81.73 421.57 Tm
(1/;{J)Tj
0 Tc 6.4001 0 0 6.4001 98.44 420.31 Tm
(2 )Tj
/T1_0 1 Tf
9.7 0 0 9.7 104.72 421.57 Tm
(U )Tj
/T1_1 1 Tf
-0.0306 Tc 0.872 0 Td
({e}} )Tj
-0.0132 Tc 9.1 0 0 9.1 134.69 421.57 Tm
(so )Tj
/T1_0 1 Tf
0.05 Tc 12.2332 0 0 9.7 146.11 421.57 Tm
(r\(J)Tj
0 Tc 9.7 0 0 9.7 161.46 420.31 Tm
(l)Tj
0.465 0.13 Td
(\) )Tj
0.05 Tc 13.0716 0 0 9.7 171.83 421.57 Tm
(nr\(J)Tj
0 Tc 5.8001 0 0 5.8001 195.61 420.49 Tm
(2)Tj
0.798 0.186 Td
(\) )Tj
/T1_2 1 Tf
-0.035 Tc 3.7809 0 0 9.7 206.36 421.57 Tm
(=1= )Tj
/T1_1 1 Tf
8.5666 0 0 11.4 216.27 421.57 Tm
(0. )Tj
/T1_0 1 Tf
0 Tc 9.7 0 0 9.7 359.16 421.57 Tm
(0 )Tj
/T1_1 1 Tf
0.05 Tc 11.0142 0 0 9.1 31.58 403.93 Tm
(Theorem )Tj
9.6343 0 0 8.8 78.62 403.93 Tm
(4. )Tj
/T1_0 1 Tf
0 Tc 12.5 0 0 12.5 91.02 403.93 Tm
(r )Tj
/T1_1 1 Tf
0.0479 Tc 9.1 0 0 9.1 100.19 403.93 Tm
(induces )Tj
0 Tc 3.776 0 Td
(a )Tj
0.05 Tc 9.2216 0 0 9.1 142.03 403.93 Tm
(bijection )Tj
/T1_0 1 Tf
-0.035 Tc 11.8743 0 0 12.2 181.77 403.93 Tm
(f' )Tj
0 Tc 12.2 0 0 12.2 190.47 403.93 Tm
(: )Tj
/T1_1 1 Tf
9.7 0 0 9.7 195.62 403.93 Tm
(D )Tj
0.05 Tc 12.7359 0 0 6 206.85 403.93 Tm
(-t )Tj
-0.0173 Tc 9.7 0 0 9.7 218.85 403.93 Tm
(W. )Tj
0.05 Tc 10.6012 0 0 9.1 31.63 386.11 Tm
(Proof: )Tj
0.0275 Tc 9.1 0 0 9.1 65.89 386.11 Tm
(Since )Tj
0.0456 Tc 2.738 0 Td
(any )Tj
0.033 Tc 1.966 0 Td
(two )Tj
0.0261 Tc 2.001 0 Td
(blocks )Tj
0.05 Tc 9.5989 0 0 9.1 155.43 386.11 Tm
(of )Tj
0 Tc 9.1 0 0 9.1 166.95 386.11 Tm
(a )Tj
0.0372 Tc 0.908 0 Td
(\(7,3,1\)-design )Tj
0.049 Tc 6.453 0 Td
(intersect )Tj
0.05 Tc 9.5456 0 0 9.1 272.8 386.11 Tm
(in )Tj
0.0305 Tc 9.1 0 0 9.1 284.13 386.11 Tm
(one )Tj
0.0444 Tc 1.89 0 Td
(place )Tj
0.046 Tc 2.648 0 Td
(we )Tj
0.05 Tc 9.4685 0 0 9.1 340.07 386.11 Tm
(see )Tj
9.8617 0 0 9.1 356.41 386.11 Tm
(by )Tj
9.6178 0 0 9.1 19.75 370.45 Tm
(Lemma )Tj
0 Tc 9.1 0 0 9.1 54.25 370.45 Tm
(3 )Tj
0.05 Tc 10.1785 0 0 9.1 62.08 370.45 Tm
(that )Tj
10.36 0 0 9.7 82.97 370.45 Tm
(reD\) )Tj
-0.035 Tc 4.6175 0 0 8.7 107.56 370.45 Tm
(S;;; )Tj
0.05 Tc 9.7547 0 0 9.7 116.97 370.45 Tm
(W. )Tj
0.0433 Tc 9.1 0 0 9.1 134.41 370.45 Tm
(Let )Tj
/T1_2 1 Tf
0 Tc 9.4 0 0 9.4 151.03 370.45 Tm
(W )Tj
/T1_0 1 Tf
8.3 0 0 8.3 164.69 370.45 Tm
(E )Tj
/T1_1 1 Tf
0.0199 Tc 9.7 0 0 9.7 173.67 370.45 Tm
(W. )Tj
/T1_2 1 Tf
0.0488 Tc 9.4 0 0 9.4 190.97 370.45 Tm
(Sw )Tj
/T1_0 1 Tf
0 Tc 8.7 0 0 8.7 208.12 370.45 Tm
(= )Tj
/T1_2 1 Tf
0.05 Tc 11.8085 0 0 9.4 218.16 370.45 Tm
({r-l\(D\) )Tj
12.4093 0 0 9.4 256.83 370.45 Tm
(IDE )Tj
10.0643 0 0 9.4 282.41 370.45 Tm
(W} )Tj
/T1_1 1 Tf
-0.0169 Tc 9.1 0 0 9.1 300.17 370.45 Tm
(is )Tj
0 Tc 1.026 0 Td
(a )Tj
0.05 Tc 9.4277 0 0 9.1 317.03 370.45 Tm
(set )Tj
9.8076 0 0 9.1 332.01 370.45 Tm
(of )Tj
9.4786 0 0 9.1 343.31 370.45 Tm
(seven )Tj
0.0379 Tc 9.1 0 0 9.1 19.99 354.61 Tm
[(blocks )-107(of )]TJ
0.0186 Tc 4.475 0 Td
(size )Tj
0 Tc 2.059 0 Td
(3 )Tj
0.05 Tc 9.6154 0 0 9.1 87.21 354.61 Tm
(on )Tj
0.0192 Tc 9.1 0 0 9.1 100.85 354.61 Tm
(say )Tj
/T1_3 1 Tf
0 Tc 8.8 0 0 8.8 117.31 354.61 Tm
(v )Tj
/T1_1 1 Tf
0.05 Tc 9.1086 0 0 9.1 125.83 354.61 Tm
(points. )Tj
0.0473 Tc 9.1 0 0 9.1 159.13 354.61 Tm
(Since )Tj
0.05 Tc 9.2824 0 0 9.1 184.95 354.61 Tm
(any )Tj
0.0231 Tc 9.1 0 0 9.1 203.38 354.61 Tm
(two )Tj
0.0319 Tc 1.99 0 Td
(days )Tj
0.05 Tc 9.1016 0 0 9.1 242.93 354.61 Tm
(in )Tj
/T1_2 1 Tf
0 Tc 9.4 0 0 9.4 253.99 354.61 Tm
(W )Tj
/T1_1 1 Tf
0.05 Tc 10.0463 0 0 9.1 268.1 354.61 Tm
(are )Tj
0.0281 Tc 9.1 0 0 9.1 285.21 354.61 Tm
(disjoint )Tj
0.0065 Tc 3.648 0 Td
(we )Tj
0.05 Tc 9.7437 0 0 9.1 332.81 354.61 Tm
(have )Tj
9.8617 0 0 9.1 356.59 354.61 Tm
(by )Tj
9.5622 0 0 9.1 19.93 338.59 Tm
(Lemma )Tj
0 Tc 9.1 0 0 9.1 54.79 338.59 Tm
(3 )Tj
0.05 Tc 10.3974 0 0 9.1 63.15 338.59 Tm
(that )Tj
0.0456 Tc 9.1 0 0 9.1 84.69 338.59 Tm
(any )Tj
0.033 Tc 1.986 0 Td
(two )Tj
0.03 Tc 2.021 0 Td
(blocks )Tj
0.05 Tc 9.1816 0 0 9.1 150.39 338.59 Tm
(of )Tj
/T1_2 1 Tf
9.773 0 0 9.4 161.98 338.59 Tm
(Sw )Tj
/T1_1 1 Tf
9.1773 0 0 9.1 180.46 338.59 Tm
(intersect )Tj
9.3236 0 0 9.1 219.16 338.59 Tm
(in )Tj
9.1046 0 0 9.1 230.66 338.59 Tm
(exactly )Tj
9.9304 0 0 9.1 263.42 338.59 Tm
(one )Tj
0.0251 Tc 9.1 0 0 9.1 282.43 338.59 Tm
(place. )Tj
0.05 Tc 9.2683 0 0 9.1 311.17 338.59 Tm
(Let )Tj
0 Tc 10 0 0 10 329.34 338.59 Tm
(J )Tj
8.5 0 0 8.5 339.25 338.59 Tm
(E )Tj
/T1_2 1 Tf
0.05 Tc 9.6952 0 0 9.4 349 338.59 Tm
(Sw. )Tj
/T1_1 1 Tf
0.0374 Tc 9.1 0 0 9.1 20.17 322.93 Tm
(Since )Tj
0.05 Tc 9.1873 0 0 9.1 45.26 322.93 Tm
(each )Tj
9.3902 0 0 9.1 66.87 322.93 Tm
(of )Tj
9.4259 0 0 9.1 78.1 322.93 Tm
(the )Tj
9.2231 0 0 9.1 94.31 322.93 Tm
(remaining )Tj
0.023 Tc 9.1 0 0 9.1 139.01 322.93 Tm
(six )Tj
0.0458 Tc 1.578 0 Td
(blocks )Tj
0.05 Tc 9.3902 0 0 9.1 182.79 322.93 Tm
(of )Tj
/T1_2 1 Tf
0.0488 Tc 9.4 0 0 9.4 194.03 322.93 Tm
(Sw )Tj
/T1_1 1 Tf
0.05 Tc 9.3941 0 0 9.1 211.3 322.93 Tm
(must )Tj
9.1295 0 0 9.1 234.64 322.93 Tm
(intersect )Tj
0 Tc 10 0 0 10 274.26 322.93 Tm
(J )Tj
0.05 Tc 9.3236 0 0 9.1 283.06 322.93 Tm
(in )Tj
9.1615 0 0 9.1 293.84 322.93 Tm
(exactly )Tj
9.4575 0 0 9.1 326.61 322.93 Tm
(one )Tj
9.6387 0 0 9.1 344.71 322.93 Tm
(place )Tj
9.9874 0 0 9.1 20.06 307.09 Tm
(and )Tj
0.0323 Tc 9.1 0 0 9.1 39.83 307.09 Tm
(since )Tj
/T1_0 1 Tf
-0.035 Tc 9.2155 0 0 12.9 64.63 307.09 Tm
(lSI )Tj
/T1_1 1 Tf
0 Tc 13 0 0 13 79.67 307.09 Tm
(= )Tj
9.1 0 0 9.1 90.56 307.09 Tm
(8 )Tj
-0.035 Tc 8.9557 0 0 9.1 99.35 307.09 Tm
(we )Tj
0.0279 Tc 9.1 0 0 9.1 113.81 307.09 Tm
(see )Tj
0.05 Tc 9.9596 0 0 9.1 130.3 307.09 Tm
(that )Tj
9.2864 0 0 9.1 151.37 307.09 Tm
(no )Tj
9.4611 0 0 9.1 165.61 307.09 Tm
(point )Tj
9.3902 0 0 9.1 191.61 307.09 Tm
(of )Tj
/T1_0 1 Tf
0 Tc 9.1 0 0 9.1 204.05 307.09 Tm
(J )Tj
/T1_1 1 Tf
0.05 Tc 9.2091 0 0 9.1 213.57 307.09 Tm
(can )Tj
0.0487 Tc 9.1 0 0 9.1 231.21 307.09 Tm
(occur )Tj
/C0_0 1 Tf
0 Tc 5.3551 0 0 9.18 257.23 307.09 Tm
<007E006F007200650020>Tj
/T1_1 1 Tf
0.05 Tc 9.8306 0 0 9.1 282.76 307.09 Tm
(than )Tj
0 Tc 9.1 0 0 9.1 305.35 307.09 Tm
(3 )Tj
0.05 Tc 9.2263 0 0 9.1 314.08 307.09 Tm
(times )Tj
10.2116 0 0 9.1 340.48 307.09 Tm
(in )Tj
10.2456 0 0 9.1 353.49 307.09 Tm
(the )Tj
0.0379 Tc 9.1 0 0 9.1 20.17 291.61 Tm
(blocks )Tj
0.05 Tc 9.1816 0 0 9.1 49.41 291.61 Tm
(of )Tj
/T1_3 1 Tf
10.4946 0 0 9.8 60.46 291.61 Tm
(Sw. )Tj
/T1_1 1 Tf
9.3619 0 0 9.1 82.35 291.61 Tm
(On )Tj
9.2893 0 0 9.1 97.9 291.61 Tm
(the )Tj
9.6749 0 0 9.1 113.85 291.61 Tm
(other )Tj
9.3425 0 0 9.1 139.13 291.61 Tm
(hand, )Tj
0 Tc 9.1 0 0 9.1 165.69 291.61 Tm
(a )Tj
0.05 Tc 9.4611 0 0 9.1 173.53 291.61 Tm
(point )Tj
9.3902 0 0 9.1 198.63 291.61 Tm
(of )Tj
/T1_0 1 Tf
0 Tc 9.1 0 0 9.1 210.17 291.61 Tm
(J )Tj
/T1_1 1 Tf
0.05 Tc 9.11 0 0 9.1 218.43 291.61 Tm
(occurring )Tj
0.0448 Tc 9.1 0 0 9.1 260 291.61 Tm
(fewer )Tj
0.05 Tc 9.7342 0 0 9.1 286.18 291.61 Tm
(than )Tj
0 Tc 9.1 0 0 9.1 307.87 291.61 Tm
(3 )Tj
0.05 Tc 9.3788 0 0 9.1 315.52 291.61 Tm
(times )Tj
10.2116 0 0 9.1 341.38 291.61 Tm
(in )Tj
10.1089 0 0 9.1 353.68 291.61 Tm
(the )Tj
0.0419 Tc 9.1 0 0 9.1 19.99 276.31 Tm
(blocks )Tj
0.0379 Tc 3.292 0 Td
(of )Tj
/T1_3 1 Tf
0.05 Tc 11.3005 0 0 9.8 61.36 276.31 Tm
(Sw )Tj
/T1_1 1 Tf
0.0143 Tc 9.1 0 0 9.1 79.64 276.31 Tm
(forces )Tj
0.05 Tc 9.5345 0 0 9.1 107.18 276.31 Tm
(another )Tj
9.3007 0 0 9.1 142.57 276.31 Tm
(point )Tj
9.5989 0 0 9.1 168.03 276.31 Tm
(of )Tj
/T1_0 1 Tf
0 Tc 9.1 0 0 9.1 180.47 276.31 Tm
(J )Tj
/T1_1 1 Tf
0.05 Tc 9.6041 0 0 9.1 190.06 276.31 Tm
(to )Tj
0.0438 Tc 9.1 0 0 9.1 202.23 276.31 Tm
(occur )Tj
0.0424 Tc 2.836 0 Td
(more )Tj
0.05 Tc 10.2161 0 0 9.1 252.16 276.31 Tm
(than )Tj
0 Tc 9.1 0 0 9.1 276.01 276.31 Tm
(3 )Tj
0.0361 Tc 0.9 0 Td
(times. )Tj
0.05 Tc 9.1976 0 0 9.1 314.42 276.31 Tm
(Hence )Tj
9.6031 0 0 9.1 343.88 276.31 Tm
(every )Tj
9.5413 0 0 9.1 19.99 260.65 Tm
(point )Tj
9.3902 0 0 9.1 45.81 260.65 Tm
(of )Tj
/T1_0 1 Tf
0 Tc 9.1 0 0 9.1 57.89 260.65 Tm
(J )Tj
/T1_1 1 Tf
0.05 Tc 9.1345 0 0 9.1 67.41 260.65 Tm
(occurs )Tj
9.1615 0 0 9.1 98 260.65 Tm
(exactly )Tj
0 Tc 9.1 0 0 9.1 131.47 260.65 Tm
(3 )Tj
0.0483 Tc 0.959 0 Td
(times )Tj
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(in )Tj
9.8357 0 0 9.1 178.36 260.65 Tm
(the )Tj
0.0261 Tc 9.1 0 0 9.1 195.67 260.65 Tm
(blocks )Tj
0.05 Tc 9.1816 0 0 9.1 224.73 260.65 Tm
(of )Tj
/T1_2 1 Tf
0.0104 Tc 9.4 0 0 9.4 236.33 260.65 Tm
(Sw. )Tj
/C0_0 1 Tf
0 Tc 4.4281 0 0 7.0201 259.38 260.65 Tm
<00530069006E0063007E0020>Tj
/T1_0 1 Tf
9.1 0 0 9.1 285.95 260.65 Tm
(J )Tj
/T1_1 1 Tf
-0.035 Tc 6.46 0 0 7.3001 296.84 260.65 Tm
(::.:.::J )Tj
4.8716 0 0 8 314.26 260.65 Tm
(<1J." )Tj
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(a.rbltJ:a..L.,Y\255)Tj
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(block )Tj
0.05 Tc 9.1816 0 0 9.1 44.73 244.99 Tm
(of )Tj
/T1_3 1 Tf
10.5667 0 0 9.8 55.6 244.99 Tm
(Sw )Tj
/T1_1 1 Tf
0.0263 Tc 9.1 0 0 9.1 72.35 244.99 Tm
(we )Tj
0.0386 Tc 1.484 0 Td
(have )Tj
0.05 Tc 10.0691 0 0 9.1 107.08 244.99 Tm
(that )Tj
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(every )Tj
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(point )Tj
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(of )Tj
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(S )Tj
0.0335 Tc 9.1 0 0 9.1 195.83 244.99 Tm
(which )Tj
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(occurs )Tj
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(at )Tj
0.0266 Tc 9.7 0 0 9.7 261.8 244.99 Tm
(all )Tj
0.0442 Tc 9.1 0 0 9.1 275.13 244.99 Tm
(occurs )Tj
0.05 Tc 9.1615 0 0 9.1 303.56 244.99 Tm
(exactly )Tj
0 Tc 9.1 0 0 9.1 335.95 244.99 Tm
(3 )Tj
0.05 Tc 9.8363 0 0 9.1 343.6 244.99 Tm
(times )Tj
9.5456 0 0 9.1 19.72 228.97 Tm
(in )Tj
9.8357 0 0 9.1 30.94 228.97 Tm
(the )Tj
0.0379 Tc 9.1 0 0 9.1 47.35 228.97 Tm
(blocks )Tj
0.05 Tc 9.3902 0 0 9.1 76.23 228.97 Tm
(of )Tj
/T1_2 1 Tf
0.0378 Tc 9.1 0 0 9.1 87.11 228.97 Tm
(Sw. )Tj
/T1_1 1 Tf
0.05 Tc 9.3321 0 0 9.1 108.1 228.97 Tm
(This )Tj
0.0242 Tc 9.1 0 0 9.1 129.65 228.97 Tm
(shows )Tj
0.05 Tc 10.5068 0 0 9.1 156.75 228.97 Tm
(that )Tj
9.6991 0 0 9.1 178 228.97 Tm
(the )Tj
9.3821 0 0 9.1 194.31 228.97 Tm
(dual )Tj
0.0379 Tc 9.1 0 0 9.1 215.01 228.97 Tm
(of )Tj
/T1_2 1 Tf
0.05 Tc 9.3922 0 0 9.1 225.53 228.97 Tm
(Sw )Tj
/T1_1 1 Tf
-0.0169 Tc 9.1 0 0 9.1 242.39 228.97 Tm
(is )Tj
0 Tc 1.046 0 Td
(a )Tj
0.0393 Tc 0.848 0 Td
(\(7,3,1\)-design. )Tj
0.05 Tc 9.4604 0 0 9.1 322.7 228.97 Tm
(Hence )Tj
/T1_2 1 Tf
9.8999 0 0 9.4 352.42 228.97 Tm
(Sw )Tj
/T1_1 1 Tf
-0.0169 Tc 9.1 0 0 9.1 19.73 213.13 Tm
(is )Tj
0.0226 Tc 1.086 0 Td
(also. )Tj
/T1_0 1 Tf
0 Tc 12.2 0 0 12.2 359.7 213.13 Tm
(o )Tj
/T1_1 1 Tf
0.05 Tc 9.8989 0 0 9.1 31.42 194.77 Tm
(The )Tj
0.0212 Tc 9.1 0 0 9.1 51.02 194.77 Tm
(following )Tj
0.05 Tc 9.1126 0 0 9.1 92.07 194.77 Tm
(Corollary )Tj
0.0209 Tc 9.1 0 0 9.1 134.09 194.77 Tm
(now )Tj
0.018 Tc 2.126 0 Td
(follows )Tj
0.05 Tc 9.2037 0 0 9.1 185.48 194.77 Tm
(from )Tj
9.2093 0 0 9.1 208.54 194.77 Tm
(Theorem )Tj
0 Tc 9.1 0 0 9.1 247.99 194.77 Tm
(2 )Tj
0.05 Tc 9.7524 0 0 9.1 256.22 194.77 Tm
(and )Tj
9.2556 0 0 9.1 275.68 194.77 Tm
(Theorem )Tj
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(4: )Tj
0.05 Tc 10.6099 0 0 9.1 31.75 176.77 Tm
(Corollary )Tj
9.1669 0 0 9.1 81.23 176.77 Tm
(5. )Tj
/T1_0 1 Tf
-0.0172 Tc 12.2 0 0 12.2 93.39 176.77 Tm
(f' )Tj
/T1_1 1 Tf
0.05 Tc 9.1192 0 0 9.1 102.34 176.77 Tm
(induces )Tj
0 Tc 9.1 0 0 9.1 136.71 176.77 Tm
(a )Tj
0.05 Tc 9.3142 0 0 9.1 144.37 176.77 Tm
(bijection )Tj
/T1_0 1 Tf
-0.032 Tc 12.2 0 0 12.2 184.11 176.77 Tm
(f' )Tj
0 Tc 0.728 0 Td
(: )Tj
/T1_1 1 Tf
9.1 0 0 9.1 198.14 176.77 Tm
(P )Tj
0.05 Tc 13.0189 0 0 6 208.29 176.77 Tm
(-t )Tj
/T1_2 1 Tf
0.0437 Tc 10.3 0 0 10.3 220.33 176.77 Tm
(y. )Tj
/T1_1 1 Tf
0.05 Tc 10.3938 0 0 9.1 167.71 149.77 Tm
(References )Tj
-0.035 Tc 8.9497 0 0 9.1 19.49 124.39 Tm
(1. )Tj
0.05 Tc 9.6376 0 0 9.1 31.64 124.39 Tm
(Baartmans, )Tj
0.015 Tc 9.1 0 0 9.1 82.96 124.39 Tm
(A., )Tj
0.0107 Tc 1.604 0 Td
(\\Vallis, )Tj
0.05 Tc 9.373 0 0 9.1 127.77 124.39 Tm
(W., )Tj
9.6349 0 0 9.1 145.34 124.39 Tm
(and )Tj
0.0415 Tc 9.1 0 0 9.1 163.06 124.39 Tm
(Yucas, )Tj
0.05 Tc 9.3593 0 0 9.1 193.63 124.39 Tm
(J., )Tj
0 Tc 9.1 0 0 9.1 206.08 124.39 Tm
(A )Tj
0.0442 Tc 0.982 0 Td
(geometric )Tj
0.05 Tc 9.3803 0 0 9.1 257.31 124.39 Tm
(construction )Tj
10.2392 0 0 9.1 310.94 124.39 Tm
(ofthe )Tj
9.7724 0 0 9.1 336.78 124.39 Tm
(Steiner )Tj
9.3494 0 0 9.1 31.69 114.49 Tm
(System )Tj
/T1_0 1 Tf
-0.0019 Tc 9.3 0 0 9.3 65.22 114.49 Tm
(S\( )Tj
/T1_1 1 Tf
0.05 Tc 9.6908 0 0 9.1 75.38 114.49 Tm
(4,7,23\), )Tj
0.0498 Tc 9.1 0 0 9.1 112.28 114.49 Tm
(Discrete )Tj
0.05 Tc 9.7317 0 0 9.1 149.36 114.49 Tm
(Math., )Tj
0.0272 Tc 9.1 0 0 9.1 181.31 114.49 Tm
(102\(1992\) )Tj
0.0098 Tc 4.807 0 Td
(177-186. )Tj
-0.035 Tc 9.0505 0 0 9.1 19.39 100.09 Tm
(2. )Tj
0.0442 Tc 9.1 0 0 9.1 31.64 100.09 Tm
(Hirshfeld, )Tj
0.05 Tc 9.5428 0 0 9.1 75.55 100.09 Tm
(J., )Tj
9.2737 0 0 9.1 88.7 100.09 Tm
(Projective )Tj
9.1805 0 0 9.1 134.19 100.09 Tm
(Geometries )Tj
0.0478 Tc 9.1 0 0 9.1 183.87 100.09 Tm
(over )Tj
0.05 Tc 9.271 0 0 9.1 204.62 100.09 Tm
(Finite )Tj
0.0322 Tc 9.1 0 0 9.1 231.8 100.09 Tm
(Fields. )Tj
0.05 Tc 9.3012 0 0 9.1 263.43 100.09 Tm
(Oxford )Tj
0.0462 Tc 9.1 0 0 9.1 295.91 100.09 Tm
(University )Tj
0.05 Tc 9.681 0 0 9.1 341.6 100.09 Tm
(Press; )Tj
0.0191 Tc 9.1 0 0 9.1 31.73 90.55 Tm
(1983. )Tj
-0.035 Tc 8.7598 0 0 9.1 19.7 76.32 Tm
(3. )Tj
0.0474 Tc 9.1 0 0 9.1 31.87 76.32 Tm
(Sharry, )Tj
0.05 Tc 9.4975 0 0 9.1 66.56 76.32 Tm
(M.J., )Tj
9.5174 0 0 9.1 93.32 76.32 Tm
(and )Tj
9.3656 0 0 9.1 112.87 76.32 Tm
(Street, )Tj
0.0483 Tc 9.1 0 0 9.1 145.24 76.32 Tm
(A.P., )Tj
0.05 Tc 9.4942 0 0 9.1 171.32 76.32 Tm
(Partitioning )Tj
0.0497 Tc 9.1 0 0 9.1 225.95 76.32 Tm
(sets )Tj
0.05 Tc 9.1816 0 0 9.1 245.43 76.32 Tm
(of )Tj
9.4071 0 0 9.1 257.74 76.32 Tm
(triples )Tj
0.0478 Tc 9.1 0 0 9.1 289.01 76.32 Tm
(into )Tj
0.0403 Tc 2.233 0 Td
(designs, )Tj
0.05 Tc 10.1808 0 0 9.1 347.2 76.32 Tm
(Ars )Tj
9.4464 0 0 9.1 32.12 66.24 Tm
(Combinatoria )Tj
0.0072 Tc 9.1 0 0 9.1 92.47 66.24 Tm
(26B )Tj
0.0347 Tc 2.13 0 Td
(\(1988\), )Tj
0.05 Tc 9.1968 0 0 9.1 144.05 66.24 Tm
(51-66. )Tj
/T1_3 1 Tf
9.7723 0 0 8 151.54 48.07 Tm
(\(Received )Tj
/T1_1 1 Tf
9.9609 0 0 7.9001 199.87 48.07 Tm
(7/7/92\) )Tj
/T1_0 1 Tf
-0.0013 Tc 8.1 0 0 8.1 185.5 23.94 Tm
(132 )Tj
ET
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<>/Filter/CCITTFaxDecode/Height 1872/Length 49718/Name/Im0/Subtype/Image/Type/XObject/Width 2240>>stream
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