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Physicsmatayom_link
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M6032550group9ysin1
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udonpittayanukoon
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เลขที่
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ชื่อ
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นามสกุล
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20
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พจมาน
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พลโยธี
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27
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รัชนิกานต์
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บุตรรัตนะ
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42
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โสภาพรรณ
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จันทร์อ่อน
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44
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อุดมลักษณ์
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ศิริวรกุลชัย
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y=R*sin(theta+phase)
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Amplitude_Modulation(AM)&Phasevector_theory
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1.sin(A+B)=sinAcosB+cosAsinB
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2.cos(A+B)=cosAcosB-sinAsinB
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3.sin(A-B)=sinAcosB-cosAsinB
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4.cos(A-B)=cosAcosB+cosAsinB
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5.sin(A+pi/2)=+cosA
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6.sin(A-pi/2)=-cosA
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7.cos(A+pi/2)=-sinA
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8.cos(A-pi/2)=+sinA
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9.if Asin(theta)+Bcos(theta)=Csin(theta+phase) then C=sqrt(A^2+B^2) and tan(phase)=B/A or phase=Arctan(B/A)
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10.y1=R1*sin(theta+phase1)
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wave_eq1
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11.y2=R2*sin(theta+phase1)
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wave_eq2
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12.y3=R3*sin(theta+phase3)
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wave_eq3
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13.y4=y1+y2+y3=R*sin(theta+phase4)
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wave_eq4
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14.Rx_axis=r*cos(phase)
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Rx_X_axis
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15.Ry_axis=r*sin(phase)
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Ry_Y_axis
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16.R=sqrt(sumRx^2+sumRy^2)
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total_Amplitude
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17.phase(deg.)=atan(sumRy/sumRx)*180/pi()
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total_phase
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Data_table1
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wave1
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wave2
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wave3
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wave4
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input_amplitude(R)=
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1
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2
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1
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1.414
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R=sqrt(sumRx^2+sumRy^2)
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input_phase(f,deg)
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0
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90
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270
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45.000
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phase(deg.)=atan(sumRy/sumRx)*180/pi()
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Rx_axis=r*cos(phase)=
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1.000
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0.000
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0.000
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1.000
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sumRx
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Ry_axis=r*sin(phase)=
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0.000
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2.000
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-1.000
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1.000
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sumRy
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theta(degree)
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y1=R1*sin(theta+phase1)
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y2=R2*sin(theta+phase2)
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y3=R3*sin(theta+phase3)
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y4=y1+y2+y3
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0
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0.000
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2.000
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-1.000
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1.000
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15
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0.259
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1.932
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-0.966
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1.225
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30
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0.500
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1.732
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-0.866
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1.366
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45
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0.707
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1.414
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-0.707
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1.414
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60
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0.866
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1.000
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-0.500
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1.366
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75
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0.966
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0.518
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-0.259
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1.225
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90
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1.000
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0.000
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0.000
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1.000
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105
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0.966
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-0.518
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0.259
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0.707
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120
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0.866
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-1.000
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0.500
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0.366
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135
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0.707
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-1.414
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0.707
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0.000
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150
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0.500
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-1.732
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0.866
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-0.366
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165
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0.259
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-1.932
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0.966
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-0.707
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180
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0.000
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-2.000
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1.000
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-1.000
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195
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-0.259
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-1.932
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0.966
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-1.225
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210
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-0.500
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-1.732
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0.866
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-1.366
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225
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-0.707
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-1.414
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0.707
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-1.414
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240
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-0.866
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-1.000
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0.500
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-1.366
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255
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-0.966
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-0.518
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0.259
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-1.225
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270
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-1.000
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0.000
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0.000
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-1.000
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285
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-0.966
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0.518
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-0.259
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-0.707
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300
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-0.866
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1.000
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-0.500
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-0.366
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315
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-0.707
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1.414
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-0.707
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0.000
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330
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-0.500
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1.732
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-0.866
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0.366
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345
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-0.259
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1.932
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-0.966
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0.707
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360
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0.000
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2.000
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-1.000
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1.000
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x_axis
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y1_axis
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y2_axis
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y3_axis
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y4_axis
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min
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-1.000
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-2.000
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-1.000
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-1.414
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max
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1.000
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2.000
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1.000
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1.414
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average
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0.000
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0.080
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-0.040
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0.040
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