id sid eid entity type ejpam-370 1 1 4_370_aydin.dvi european journal ORG ejpam-370 2 1 3 CARDINAL ejpam-370 2 2 5, 2010 DATE ejpam-370 2 3 819 CARDINAL ejpam-370 2 4 kemal aydın1,∗ PERSON ejpam-370 2 5 gülnur çelik kızılkan 2 PERSON ejpam-370 2 6 ali osman PERSON ejpam-370 2 7 3 1 CARDINAL ejpam-370 2 8 konya GPE ejpam-370 2 9 türkiye GPE ejpam-370 2 10 2 CARDINAL ejpam-370 3 1 kahramanmaraş ORG ejpam-370 3 2 türkiye 3 ORG ejpam-370 3 3 selçuk university ORG ejpam-370 4 1 konya GPE ejpam-370 4 2 türkiye GPE ejpam-370 5 1 3 CARDINAL ejpam-370 8 1 2000 CARDINAL ejpam-370 8 2 65f10 CARDINAL ejpam-370 8 3 linear algebraic ORG ejpam-370 8 4 1 CARDINAL ejpam-370 9 1 linear algebraic FAC ejpam-370 9 2 1 CARDINAL ejpam-370 10 1 4 CARDINAL ejpam-370 10 2 1 CARDINAL ejpam-370 10 3 n × n ORG ejpam-370 11 1 5 CARDINAL ejpam-370 11 2 1 CARDINAL ejpam-370 11 3 2 CARDINAL ejpam-370 11 4 4 CARDINAL ejpam-370 13 1 3 CARDINAL ejpam-370 13 2 ddm ORG ejpam-370 13 3 one CARDINAL ejpam-370 15 1 kaydin PERSON ejpam-370 15 2 k. aydın PERSON ejpam-370 15 3 g kizilkan�ksu.edu.tr PERSON ejpam-370 15 4 g. kızılkan),ao diken PERSON ejpam-370 15 5 a. çıbıkdiken PERSON ejpam-370 16 1 819 CARDINAL ejpam-370 17 1 2010 DATE ejpam-370 18 1 k. aydın PERSON ejpam-370 18 2 g. kızılkan PERSON ejpam-370 18 3 a. çıbıkdiken / eur PERSON ejpam-370 19 1 j. pure PERSON ejpam-370 19 2 3 CARDINAL ejpam-370 19 3 2010 DATE ejpam-370 19 4 819-830 820 QUANTITY ejpam-370 19 5 3 CARDINAL ejpam-370 19 6 1 CARDINAL ejpam-370 20 1 section 2 LAW ejpam-370 20 2 3 CARDINAL ejpam-370 21 1 section 3 LAW ejpam-370 22 1 section 4. 2 DATE ejpam-370 22 2 3 CARDINAL ejpam-370 23 1 3 CARDINAL ejpam-370 24 1 2.1 CARDINAL ejpam-370 27 1 1(1)n CARDINAL ejpam-370 27 2 1 CARDINAL ejpam-370 27 3 2 DATE ejpam-370 28 1 first ORDINAL ejpam-370 28 2 6= DATE ejpam-370 29 1 − k−1 PERSON ejpam-370 29 2 i=1 pi GPE ejpam-370 31 1 1 x QUANTITY ejpam-370 35 1 k) u(k ORG ejpam-370 35 2 1(1)mk CARDINAL ejpam-370 35 3 1 CARDINAL ejpam-370 35 4 first ORDINAL ejpam-370 35 5 2 CARDINAL ejpam-370 37 1 1 x QUANTITY ejpam-370 37 2 1 x QUANTITY ejpam-370 37 3 0 CARDINAL ejpam-370 38 1 1(1)n CARDINAL ejpam-370 39 1 k. aydın PERSON ejpam-370 39 2 g. kızılkan PERSON ejpam-370 39 3 a. çıbıkdiken / eur PERSON ejpam-370 40 1 j. pure PERSON ejpam-370 40 2 3 CARDINAL ejpam-370 40 3 2010 DATE ejpam-370 40 4 819-830 821 2.2 QUANTITY ejpam-370 41 1 iddm ORG ejpam-370 41 2 us GPE ejpam-370 41 3 3 CARDINAL ejpam-370 42 1 linear algebraic FAC ejpam-370 42 2 2 CARDINAL ejpam-370 42 3 n × n ORG ejpam-370 43 1 1(1)n CARDINAL ejpam-370 44 1 1 CARDINAL ejpam-370 44 2 2 CARDINAL ejpam-370 45 1 2(1)n CARDINAL ejpam-370 46 1 1 CARDINAL ejpam-370 46 2 2 CARDINAL ejpam-370 46 3 0 CARDINAL ejpam-370 47 1 2(1)n CARDINAL ejpam-370 49 1 0 CARDINAL ejpam-370 50 1 1s CARDINAL ejpam-370 51 1 1s CARDINAL ejpam-370 51 2 0 CARDINAL ejpam-370 51 3 first ORDINAL ejpam-370 51 4 r(k ORG ejpam-370 51 5 1×(nk−1 CARDINAL ejpam-370 53 1 1 CARDINAL ejpam-370 53 2  i(s−1)×(s−1 PERSON ejpam-370 53 3 01×(s−1 CARDINAL ejpam-370 53 4 1×(nk−s DATE ejpam-370 53 5  PERSON ejpam-370 54 1 2(1)nk− 1, i(nk−1)×(nk−1 DATE ejpam-370 54 2 01×(nk−1 DATE ejpam-370 57 1 3 CARDINAL ejpam-370 57 2 2 CARDINAL ejpam-370 58 1 1 CARDINAL ejpam-370 58 2 i=1 GPE ejpam-370 58 3  PRODUCT ejpam-370 58 4  PERSON ejpam-370 59 1 0 CARDINAL ejpam-370 59 2 r(1)r(2 ORG ejpam-370 62 1 1 CARDINAL ejpam-370 62 2 1 CARDINAL ejpam-370 63 1 4 CARDINAL ejpam-370 63 2 2.3 CARDINAL ejpam-370 64 1 linear algebraic FAC ejpam-370 64 2 1 CARDINAL ejpam-370 64 3 1 CARDINAL ejpam-370 64 4 5 CARDINAL ejpam-370 64 5 5 CARDINAL ejpam-370 65 1 two CARDINAL ejpam-370 65 2 1 CARDINAL ejpam-370 65 3 1 x QUANTITY ejpam-370 65 4 1 CARDINAL ejpam-370 65 5 1 CARDINAL ejpam-370 65 6 1 CARDINAL ejpam-370 65 7 6 CARDINAL ejpam-370 65 8 1 CARDINAL ejpam-370 65 9 2 x QUANTITY ejpam-370 65 10 1 CARDINAL ejpam-370 65 11 1 CARDINAL ejpam-370 65 12 2 CARDINAL ejpam-370 65 13 7 CARDINAL ejpam-370 65 14 k. aydın PERSON ejpam-370 65 15 g. kızılkan PERSON ejpam-370 65 16 a. çıbıkdiken / eur PERSON ejpam-370 66 1 j. pure PERSON ejpam-370 66 2 3 CARDINAL ejpam-370 66 3 2010 DATE ejpam-370 66 4 819 CARDINAL ejpam-370 66 5 first ORDINAL ejpam-370 67 1 1 CARDINAL ejpam-370 67 2 5 CARDINAL ejpam-370 67 3 1 CARDINAL ejpam-370 67 4 1(1)p− 1 DATE ejpam-370 68 1 1 CARDINAL ejpam-370 68 2 0 DATE ejpam-370 68 3 1 CARDINAL ejpam-370 69 1 0 CARDINAL ejpam-370 70 1 1)p CARDINAL ejpam-370 70 2 6 CARDINAL ejpam-370 71 1 8) CARDINAL ejpam-370 71 2 6= CARDINAL ejpam-370 71 3 0 (1≤ s ≤ n , 1≤ PERCENT ejpam-370 71 4 first ORDINAL ejpam-370 72 1 1 CARDINAL ejpam-370 72 2 6 CARDINAL ejpam-370 72 3 1 CARDINAL ejpam-370 72 4 2 CARDINAL ejpam-370 72 5 2 CARDINAL ejpam-370 72 6 r(1 ORG ejpam-370 72 7 r(1 ORG ejpam-370 73 1 1) 1×(n−1 CARDINAL ejpam-370 74 1 1 CARDINAL ejpam-370 74 2  i(s−1)×(s−1 PERSON ejpam-370 74 3 01×(s−1 CARDINAL ejpam-370 74 4 1 CARDINAL ejpam-370 74 5 1×(n−s CARDINAL ejpam-370 74 6 0(n−s)×(s−1 CARDINAL ejpam-370 74 7  PERSON ejpam-370 74 8 2(1)n CARDINAL ejpam-370 74 9 1 CARDINAL ejpam-370 76 1 1 CARDINAL ejpam-370 76 2 1 CARDINAL ejpam-370 76 3 1(s+1 CARDINAL ejpam-370 76 4 1 CARDINAL ejpam-370 77 1 1 CARDINAL ejpam-370 77 2 1n CARDINAL ejpam-370 77 3 1 CARDINAL ejpam-370 77 4 1 CARDINAL ejpam-370 78 1 1(1)n DATE ejpam-370 79 1 6 CARDINAL ejpam-370 79 2 1 CARDINAL ejpam-370 80 1 1 CARDINAL ejpam-370 81 1 2 CARDINAL ejpam-370 81 2 1 CARDINAL ejpam-370 81 3 0 DATE ejpam-370 81 4 r(1 ORG ejpam-370 82 1 1 CARDINAL ejpam-370 82 2 7 CARDINAL ejpam-370 82 3 2 CARDINAL ejpam-370 82 4 2 CARDINAL ejpam-370 82 5 9 CARDINAL ejpam-370 82 6 1 CARDINAL ejpam-370 82 7 2 CARDINAL ejpam-370 83 1 1 CARDINAL ejpam-370 83 2 2 x QUANTITY ejpam-370 83 3 1 CARDINAL ejpam-370 83 4 0 CARDINAL ejpam-370 84 1 9 CARDINAL ejpam-370 84 2 a(k)x PERSON ejpam-370 84 3 2(1)n CARDINAL ejpam-370 84 4 10 CARDINAL ejpam-370 85 1 2 CARDINAL ejpam-370 85 2 2 CARDINAL ejpam-370 85 3 0 DATE ejpam-370 86 1 10 CARDINAL ejpam-370 88 1 r(k ORG ejpam-370 88 2 3 CARDINAL ejpam-370 89 1 5 CARDINAL ejpam-370 90 1 k. aydın PERSON ejpam-370 90 2 g. kızılkan PERSON ejpam-370 90 3 a. çıbıkdiken / eur PERSON ejpam-370 91 1 j. pure PERSON ejpam-370 91 2 3 CARDINAL ejpam-370 91 3 2010 DATE ejpam-370 91 4 819-830 823 QUANTITY ejpam-370 91 5 1 CARDINAL ejpam-370 91 6 0 CARDINAL ejpam-370 92 1 three CARDINAL ejpam-370 93 1 5 CARDINAL ejpam-370 93 2 iddm GPE ejpam-370 93 3 4 CARDINAL ejpam-370 94 1 5 CARDINAL ejpam-370 94 2 k = n(−1)1 PERSON ejpam-370 94 3  PRODUCT ejpam-370 94 4  PERSON ejpam-370 96 1  PRODUCT ejpam-370 96 2  PERSON ejpam-370 97 1 1 x QUANTITY ejpam-370 97 2 2 CARDINAL ejpam-370 100 1 mn GPE ejpam-370 100 2 1 CARDINAL ejpam-370 100 3  ORG ejpam-370 100 4  ORG ejpam-370 100 5  PERSON ejpam-370 101 1  ORG ejpam-370 101 2  ORG ejpam-370 101 3  PERSON ejpam-370 104 1 0 CARDINAL ejpam-370 105 1 5 CARDINAL ejpam-370 105 2  PRODUCT ejpam-370 105 3  PERSON ejpam-370 107 1 6= CARDINAL ejpam-370 107 2 5 CARDINAL ejpam-370 108 1 2 CARDINAL ejpam-370 108 2 6= DATE ejpam-370 109 1 5 CARDINAL ejpam-370 109 2 k ∑ PERSON ejpam-370 109 3 i=1 GPE ejpam-370 109 4  PRODUCT ejpam-370 109 5  PERSON ejpam-370 111 1  PERSON ejpam-370 112 1 k. aydın PERSON ejpam-370 112 2 g. kızılkan PERSON ejpam-370 112 3 a. çıbıkdiken / eur PERSON ejpam-370 113 1 j. pure PERSON ejpam-370 113 2 3 CARDINAL ejpam-370 113 3 2010 DATE ejpam-370 113 4 819-830 824 QUANTITY ejpam-370 114 1 1 x QUANTITY ejpam-370 114 2 2 CARDINAL ejpam-370 115 1 1(1)p− 1 DATE ejpam-370 115 2 1 CARDINAL ejpam-370 115 3 3 CARDINAL ejpam-370 118 1 0 CARDINAL ejpam-370 118 2 5 CARDINAL ejpam-370 118 3 i=1  PERSON ejpam-370 118 4  PRODUCT ejpam-370 118 5  PERSON ejpam-370 120 1  k−1 ORG ejpam-370 120 2 ∏ CARDINAL ejpam-370 120 3  PERSON ejpam-370 121 1 1 x QUANTITY ejpam-370 121 2 2 CARDINAL ejpam-370 122 1 1(1)p− 1for CARDINAL ejpam-370 122 2 1 CARDINAL ejpam-370 122 3 5 CARDINAL ejpam-370 123 1 3 CARDINAL ejpam-370 124 1 3 CARDINAL ejpam-370 127 1 1 CARDINAL ejpam-370 129 1 1 CARDINAL ejpam-370 130 1 2 CARDINAL ejpam-370 131 1 1(1)n− 1 DATE ejpam-370 131 2 2.1 CARDINAL ejpam-370 131 3 2.2 CARDINAL ejpam-370 133 1 6= CARDINAL ejpam-370 133 2 0 CARDINAL ejpam-370 133 3 first ORDINAL ejpam-370 133 4 4 CARDINAL ejpam-370 134 1 2.3 CARDINAL ejpam-370 135 1 1 CARDINAL ejpam-370 137 1 1(1)p− 1 DATE ejpam-370 138 1 ∃i PERSON ejpam-370 138 2 2 CARDINAL ejpam-370 138 3 2.4 CARDINAL ejpam-370 139 1 1 CARDINAL ejpam-370 139 2 r(k ORG ejpam-370 139 3 1 CARDINAL ejpam-370 139 4 2.5 CARDINAL ejpam-370 140 1 2 DATE ejpam-370 140 2 v(k PERSON ejpam-370 141 1 2.6 CARDINAL ejpam-370 141 2 r(k ORG ejpam-370 142 1 3 CARDINAL ejpam-370 143 1 k = n PERSON ejpam-370 143 2 3.1 CARDINAL ejpam-370 144 1 6= CARDINAL ejpam-370 144 2 0 CARDINAL ejpam-370 144 3 first ORDINAL ejpam-370 144 4 4 CARDINAL ejpam-370 144 5 3.2 CARDINAL ejpam-370 145 1 r(k ORG ejpam-370 145 2 1 3.3 CARDINAL ejpam-370 147 1 0 CARDINAL ejpam-370 147 2 1 CARDINAL ejpam-370 148 1 k. aydın PERSON ejpam-370 148 2 g. kızılkan PERSON ejpam-370 148 3 a. çıbıkdiken / eur PERSON ejpam-370 149 1 j. pure PERSON ejpam-370 149 2 3 CARDINAL ejpam-370 149 3 2010 DATE ejpam-370 149 4 819 CARDINAL ejpam-370 151 1 2 CARDINAL ejpam-370 151 2 4 CARDINAL ejpam-370 155 1 ∃i PERSON ejpam-370 155 2 2 CARDINAL ejpam-370 155 3 4.1 CARDINAL ejpam-370 156 1 = k− 1 PERSON ejpam-370 156 2 1 CARDINAL ejpam-370 157 1 1 CARDINAL ejpam-370 158 1 ∑ i=1 i−1 ∏ PERSON ejpam-370 162 1 2 CARDINAL ejpam-370 164 1 1 CARDINAL ejpam-370 164 2 nm+1 6= DATE ejpam-370 164 3 0 CARDINAL ejpam-370 165 1 0 CARDINAL ejpam-370 166 1 0 CARDINAL ejpam-370 169 1 1 CARDINAL ejpam-370 169 2 a=  PERSON ejpam-370 169 3  1 −2 2 3 2 1 1 −1 3 QUANTITY ejpam-370 169 4 4 1  TIME ejpam-370 169 5  ORG ejpam-370 169 6  1 PRODUCT ejpam-370 169 7  PERSON ejpam-370 170 1 1 CARDINAL ejpam-370 172 1 4 CARDINAL ejpam-370 172 2 2 CARDINAL ejpam-370 173 1 1 CARDINAL ejpam-370 173 2 0 CARDINAL ejpam-370 174 1  ORG ejpam-370 174 2  1 PRODUCT ejpam-370 174 3  PERSON ejpam-370 174 4 r(1 ORG ejpam-370 175 1  ORG ejpam-370 175 2  2 CARDINAL ejpam-370 175 3 1 CARDINAL ejpam-370 175 4 0 CARDINAL ejpam-370 175 5 1 CARDINAL ejpam-370 175 6  PERSON ejpam-370 176 1 2 CARDINAL ejpam-370 176 2 0 CARDINAL ejpam-370 176 3  PRODUCT ejpam-370 176 4 5 CARDINAL ejpam-370 176 5  PERSON ejpam-370 176 6  PERSON ejpam-370 178 1 0 CARDINAL ejpam-370 178 2 3 CARDINAL ejpam-370 178 3 3 CARDINAL ejpam-370 178 4 3 CARDINAL ejpam-370 178 5 1 x QUANTITY ejpam-370 178 6 3 CARDINAL ejpam-370 178 7 2 CARDINAL ejpam-370 178 8 ∈ ORG ejpam-370 179 1  ORG ejpam-370 179 2  ORG ejpam-370 179 3 5 CARDINAL ejpam-370 179 4 4 5 CARDINAL ejpam-370 179 5 1 5 CARDINAL ejpam-370 179 6 5 CARDINAL ejpam-370 179 7 4 5 CARDINAL ejpam-370 179 8  PERSON ejpam-370 181 1 2 CARDINAL ejpam-370 181 2 a=  PERSON ejpam-370 181 3 1 2 1 −2 2 3 1 1  QUANTITY ejpam-370 181 4  ORG ejpam-370 181 5  PERSON ejpam-370 182 1 1 CARDINAL ejpam-370 184 1 2 CARDINAL ejpam-370 184 2 k. aydın PERSON ejpam-370 184 3 g. kızılkan PERSON ejpam-370 184 4 a. çıbıkdiken / eur PERSON ejpam-370 185 1 j. pure PERSON ejpam-370 185 2 3 CARDINAL ejpam-370 185 3 2010 DATE ejpam-370 185 4 819 CARDINAL ejpam-370 185 5 830 826 CARDINAL ejpam-370 185 6 2 CARDINAL ejpam-370 185 7 1 CARDINAL ejpam-370 186 1 3 CARDINAL ejpam-370 186 2 r(1 ORG ejpam-370 187 1 2 CARDINAL ejpam-370 187 2 11 CARDINAL ejpam-370 187 3 2 CARDINAL ejpam-370 187 4 1 CARDINAL ejpam-370 187 5 2 CARDINAL ejpam-370 187 6 2 CARDINAL ejpam-370 188 1 −1 4 DATE ejpam-370 189 1 7 2 QUANTITY ejpam-370 191 1 3 CARDINAL ejpam-370 191 2 a=  PERSON ejpam-370 191 3 1 2 1 −2 2 3 1 1  QUANTITY ejpam-370 191 4  ORG ejpam-370 191 5 3 1 5 2  QUANTITY ejpam-370 192 1 1 CARDINAL ejpam-370 193 1 2 CARDINAL ejpam-370 193 2 2 CARDINAL ejpam-370 193 3 1 CARDINAL ejpam-370 194 1 3 CARDINAL ejpam-370 194 2 r(1 ORG ejpam-370 194 3  ORG ejpam-370 194 4  PERSON ejpam-370 195 1 2 CARDINAL ejpam-370 195 2  −2 PRODUCT ejpam-370 195 3  PERSON ejpam-370 195 4 6= CARDINAL ejpam-370 195 5 2 CARDINAL ejpam-370 195 6 11 CARDINAL ejpam-370 195 7 2 CARDINAL ejpam-370 195 8 1 CARDINAL ejpam-370 195 9 2 CARDINAL ejpam-370 197 1 4. CARDINAL ejpam-370 197 2 multiply);>with(linalg GPE ejpam-370 197 3 oldim GPE ejpam-370 197 4 a1,a2,x0,rr PERSON ejpam-370 197 5 xs;lo al g PERSON ejpam-370 197 6 k GPE ejpam-370 197 7 output1 DATE ejpam-370 197 8 output2 LOC ejpam-370 197 9 find\_ps ORG ejpam-370 197 10 matrix(n[1 PERSON ejpam-370 197 11 ℄ GPE ejpam-370 197 12 n[1 GPE ejpam-370 197 13 x0[1 PRODUCT ejpam-370 198 1 r[i PRODUCT ejpam-370 198 2 rr[i ORG ejpam-370 198 3 ℄ GPE ejpam-370 198 4 multiply(rr[i CARDINAL ejpam-370 199 1 x:= DATE ejpam-370 200 1 1 CARDINAL ejpam-370 200 2 rr[i ORG ejpam-370 200 3 r[i PRODUCT ejpam-370 200 4 rr[i ORG ejpam-370 200 5 rr[i ORG ejpam-370 200 6 do;if PERSON ejpam-370 205 1 k. aydın PERSON ejpam-370 205 2 g. kızılkan PERSON ejpam-370 205 3 a. çıbıkdiken / eur PERSON ejpam-370 206 1 j. pure PERSON ejpam-370 206 2 3 CARDINAL ejpam-370 206 3 2010 DATE ejpam-370 206 4 819-830 827output2:=pro QUANTITY ejpam-370 206 5 x0[k℄:=ve ORG ejpam-370 206 6 n[k NORP ejpam-370 206 7 x0[k℄[s[k℄℄:=(g[k℄[p[k℄℄ ORG ejpam-370 206 8 n[k NORP ejpam-370 206 9 1 CARDINAL ejpam-370 207 1 ℄-1,0);b1:=matrix(s[k℄-1,s[k ORG ejpam-370 207 2 ℄-s[k℄,s[k℄-1,0);b6:=matrix(n[k ORG ejpam-370 207 3 r[k℄:= onvert(blo kmatrix(2,1,[r[k ORG ejpam-370 207 4 ℄-1 ORG ejpam-370 207 5 ℄:= onvert(blo GPE ejpam-370 207 6 find\_ps:=pro ORG ejpam-370 207 7 1 CARDINAL ejpam-370 207 8 1 CARDINAL ejpam-370 207 9 b[k℄[i ORG ejpam-370 207 10 j℄\texttt{<>}0 PERSON ejpam-370 207 11 step4 PERSON ejpam-370 207 12 n[1 GPE ejpam-370 208 1 ℄:=matrix(1 ORG ejpam-370 208 2 n:=min(m[1℄,n[1℄) ORG ejpam-370 208 3 1 CARDINAL ejpam-370 208 4 n[k℄:= oldim(a)-k+1;end ORG ejpam-370 208 5 k. aydın PERSON ejpam-370 208 6 g. kızılkan PERSON ejpam-370 208 7 a. çıbıkdiken / eur PERSON ejpam-370 209 1 j. pure PERSON ejpam-370 209 2 3 CARDINAL ejpam-370 209 3 2010 DATE ejpam-370 209 4 819 CARDINAL ejpam-370 209 5 1 CARDINAL ejpam-370 209 6 g[k℄[i ORG ejpam-370 209 7 cal ORG ejpam-370 209 8 m:=k;output1 DATE ejpam-370 209 9 1 CARDINAL ejpam-370 209 10 ℄℄ ORG ejpam-370 209 11 1 CARDINAL ejpam-370 209 12 v[k NORP ejpam-370 209 13 ℄:=g[k FAC ejpam-370 209 14 n[k NORP ejpam-370 209 15 1 CARDINAL ejpam-370 209 16 [1,j CARDINAL ejpam-370 209 17 a2[k℄:=matrix(1 ORG ejpam-370 209 18 n[k NORP ejpam-370 209 19 1 CARDINAL ejpam-370 209 20 1 CARDINAL ejpam-370 209 21 j℄:=b[k℄[p[k℄+i ORG ejpam-370 209 22 j℄ PERSON ejpam-370 209 23 cal ORG ejpam-370 209 24 ℄,r[k ORG ejpam-370 211 1 n[k℄:= LOC ejpam-370 211 2 ℄