Fractional Pmg

Fractional Pmg

10 CENT FRACTIONAL 3RD ISSUEFR 1256 PMG CHOICE UNCIRCULATED 63 EPQ
10 CENT FRACTIONAL 3RD ISSUEFR 1256 PMG CHOICE UNCIRCULATED 63 EPQ
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50 CENT FRACTIONAL 1ST ISSUEFR 1312 PMG CHOICE ABOUT UNCIRCULATED 58
50 CENT FRACTIONAL 1ST ISSUEFR 1312 PMG CHOICE ABOUT UNCIRCULATED 58
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50 CENTS FRACTIONAL CURRENCY3RD ISSUEFR 1341 PMG FINE 12
50 CENTS FRACTIONAL CURRENCY3RD ISSUEFR 1341 PMG FINE 12
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15¢ 4th Issue Fractional Currency Fr 1269 PMG Grade 35EPQ Choice VF
15¢ 4th Issue Fractional Currency Fr 1269 PMG Grade 35EPQ Choice VF
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US 25c Fractional Currency FR1295 PMG Graded CU64
US 25c Fractional Currency FR1295 PMG Graded CU64
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US 10c Fractional Currency FR1256 PMG Graded CU62 EPQ
US 10c Fractional Currency FR1256 PMG Graded CU62 EPQ
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Fractional Currency 5 Cents 2nd Issue PMG 62 EPQ Uncirculated FR 1232
Fractional Currency 5 Cents 2nd Issue PMG 62 EPQ Uncirculated FR 1232
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Fractional Currency 5 Cents 2nd Issue PMG 64 EPQ Uncirculated FR 1233
Fractional Currency 5 Cents 2nd Issue PMG 64 EPQ Uncirculated FR 1233
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TT 50 CENT FRACTIONAL RARE FR 1313SPWMF PMG 66 EPQ GEM
TT 50 CENT FRACTIONAL RARE FR 1313SPWMF PMG 66 EPQ GEM
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TT 25 CENT 2ND ISSUE FRACTIONAL FR 1283EXNMF PMG 65EPQ
TT 25 CENT 2ND ISSUE FRACTIONAL FR 1283EXNMF PMG 65EPQ
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TT 3 CENT THIRD ISSUE FRACTIONAL FR 1226SPWMB PMG 66EPQ
TT 3 CENT THIRD ISSUE FRACTIONAL FR 1226SPWMB PMG 66EPQ
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★ Fr1255 10 Cents FRACTIONAL NOTE Third Issue PMG 66 ★
★ Fr1255 10 Cents FRACTIONAL NOTE Third Issue PMG 66 ★
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TT 15 CENT 3rd ISSUE FRACTIONAL FR 1272SPNMF PMG 65EPQ
TT 15 CENT 3rd ISSUE FRACTIONAL FR 1272SPNMF PMG 65EPQ
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TT 25 CENT 1st ISSUE FRACTIONAL FR 1282SPNMF PMG 65EPQ
TT 25 CENT 1st ISSUE FRACTIONAL FR 1282SPNMF PMG 65EPQ
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TT 10 CENT 4TH ISSUE FRACTIONAL FR 1257 PMG67EPQ SUPERB
TT 10 CENT 4TH ISSUE FRACTIONAL FR 1257 PMG67EPQ SUPERB
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TT 10 CENT FRACTIONAL THIRD ISSUE FR 1256 PMG 66 EPQ
TT 10 CENT FRACTIONAL THIRD ISSUE FR 1256 PMG 66 EPQ
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US 5c Fractional Currency FR1230 PMG 63 CU
US 5c Fractional Currency FR1230 PMG 63 CU
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US 5c Fractional Currency FR1230 PMG 62 UNC
US 5c Fractional Currency FR1230 PMG 62 UNC
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US 5c Fractional Currency FR1230 PMG 58 CH AU
US 5c Fractional Currency FR1230 PMG 58 CH AU
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US 5c Fractional Currency FR1230 PMG 55 AU
US 5c Fractional Currency FR1230 PMG 55 AU
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US 3c Fractional Currency FR1226 SPECIMEN PMG 55
US 3c Fractional Currency FR1226 SPECIMEN PMG 55
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US 25c Fractional Currency FR1281 PMG 63 CU
US 25c Fractional Currency FR1281 PMG 63 CU
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US 15c Fractional Currency FR1267 PMG 55 AU
US 15c Fractional Currency FR1267 PMG 55 AU
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US 10c Fractional Currency FR1253 PMG 64 CU
US 10c Fractional Currency FR1253 PMG 64 CU
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AU 5 CENT THIRD ISSUE 1864 1869 FRACTIONAL CURRENCY NOTE Fr 1238 PMG 55 PLATE 31
AU 5 CENT THIRD ISSUE 1864 1869 FRACTIONAL CURRENCY NOTE Fr 1238 PMG 55 PLATE 31
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1863 Fourth Issue Fractional Currency 15 cent us note PMG FINE 15
1863 Fourth Issue Fractional Currency 15 cent us note PMG FINE 15
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TT 50 CENT THIRD ISSUE FRACTIONAL FR 1339 PMG 65 EPQ
TT 50 CENT THIRD ISSUE FRACTIONAL FR 1339 PMG 65 EPQ
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TT 50 CENT FIRST ISSUE FRACTIONAL FR 1310 PMG 65 EPQ
TT 50 CENT FIRST ISSUE FRACTIONAL FR 1310 PMG 65 EPQ
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TT 25 CENT SECOND ISSUE FRACTIONAL FR 1283SPWMF PMG 65 EPQ GEM
TT 25 CENT SECOND ISSUE FRACTIONAL FR 1283SPWMF PMG 65 EPQ GEM
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TT 25 CENT FRACTIONAL FIRST ISSUE FR 1282SPWMF PMG 67 EPQ SUPERB GEM
TT 25 CENT FRACTIONAL FIRST ISSUE FR 1282SPWMF PMG 67 EPQ SUPERB GEM
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TT 5 CENT FRACTIONAL FIRST ISSUE FR 1230 PMG 65 EPQ
TT 5 CENT FRACTIONAL FIRST ISSUE FR 1230 PMG 65 EPQ
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US 50c Fractional Currency PMG 58 CH AU EPQ FR1374 Fourth Issue
US 50c Fractional Currency PMG 58 CH AU EPQ FR1374 Fourth Issue
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US 15c Fractional Currency PMG 63 CU FR1267 Fourth Issue
US 15c Fractional Currency PMG 63 CU FR1267 Fourth Issue
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TT 25 CENT SECOND ISSUE FRACTIONAL FR 1283 PMG 65 EPQ PURPLE BACK
TT 25 CENT SECOND ISSUE FRACTIONAL FR 1283 PMG 65 EPQ PURPLE BACK
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TT 5 CENT FRACTIONAL THIRD ISSUE FR 1236 RED BACK PMG 65 EPQ
TT 5 CENT FRACTIONAL THIRD ISSUE FR 1236 RED BACK PMG 65 EPQ
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TT 3 CENT THIRD ISSUE FRACTIONAL FR 1226 PMG 65 EPQ
TT 3 CENT THIRD ISSUE FRACTIONAL FR 1226 PMG 65 EPQ
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TT 50 CENT FOURTH ISSUE FRACTIONAL FR 1376 PMG 58 EPQ
TT 50 CENT FOURTH ISSUE FRACTIONAL FR 1376 PMG 58 EPQ
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Fractional Currency PMG Choice Uncirculated 64EPQ Fr1239 3rd Issue 5c Five Cent
Fractional Currency PMG Choice Uncirculated 64EPQ Fr1239 3rd Issue 5c Five Cent
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Fractional Currency PMG Choice Uncirculated 64EPQ Fr1226 3rd Issue 3c 3 Cents
Fractional Currency PMG Choice Uncirculated 64EPQ Fr1226 3rd Issue 3c 3 Cents
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5 CENTS SECOND ISSUE FRACTIONAL CURRENCY 40 PMG FR 1232
5 CENTS SECOND ISSUE FRACTIONAL CURRENCY 40 PMG FR 1232
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25 CENT SECOND ISSUE FRACTIONAL CURRENCY 15 NET PMG FR 1288
25 CENT SECOND ISSUE FRACTIONAL CURRENCY 15 NET PMG FR 1288
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Fractional Currency PMG Choice Uncirculated 64EPQ Fr1230 1st Issue 5c Five Cent
Fractional Currency PMG Choice Uncirculated 64EPQ Fr1230 1st Issue 5c Five Cent
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Fractional Currency PMG Choice Uncirculated 64EPQ Fr1233 2nd Issue 5c Five Cent
Fractional Currency PMG Choice Uncirculated 64EPQ Fr1233 2nd Issue 5c Five Cent
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TT 25 CENT FIRST ISSUE FRACTIONAL FR 1279 PMG 64 EPQ
TT 25 CENT FIRST ISSUE FRACTIONAL FR 1279 PMG 64 EPQ
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TT 15 CENT 4TH ISSUE FRACTIONAL FR 1267 PMG 65 EPQ
TT 15 CENT 4TH ISSUE FRACTIONAL FR 1267 PMG 65 EPQ
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10 CENT SECOND ISSUE FRACTIONAL CURRENCY 63 PMG FR 1245
10 CENT SECOND ISSUE FRACTIONAL CURRENCY 63 PMG FR 1245
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10 CENT SECOND ISSUE FRACTIONAL CURRENCY 45 EPQ PMG FR 1245
10 CENT SECOND ISSUE FRACTIONAL CURRENCY 45 EPQ PMG FR 1245
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5 CENTS SECOND ISSUE FRACTIONAL CURRENCY 58 EPQ PMG FR 1232
5 CENTS SECOND ISSUE FRACTIONAL CURRENCY 58 EPQ PMG FR 1232
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15 CENT FOURTH ISSUE FRACTIONAL CURRENCY 20 PMG FR 1271
15 CENT FOURTH ISSUE FRACTIONAL CURRENCY 20 PMG FR 1271
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TT 50 CENT 3rd ISSUE FRACTIONAL FR 1362 PMG 35 EPQ
TT 50 CENT 3rd ISSUE FRACTIONAL FR 1362 PMG 35 EPQ
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TT 25 CENT FRACTIONAL FR 1282SPWMF PMG 66 EPQ GEM
TT 25 CENT FRACTIONAL FR 1282SPWMF PMG 66 EPQ GEM
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TT 5 CENT THIRD ISSUE FRACTIONAL FR 1238spwmb PMG 64
TT 5 CENT THIRD ISSUE FRACTIONAL FR 1238spwmb PMG 64
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ecoins49 1874 25 Cent Fifth Issue Fractional PMG ChUnc64 great margins
ecoins49 1874 25 Cent Fifth Issue Fractional PMG ChUnc64 great margins
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TT 50 CENT FRACTIONAL THIRD ISSUE RARE FR 1361 PMG 64 EPQ JUSTICE LETTER A
TT 50 CENT FRACTIONAL THIRD ISSUE RARE FR 1361 PMG 64 EPQ JUSTICE LETTER A
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TT 10 CENT FRACTIONAL THIRD ISSUE FR 1253 PMG 66 EPQ RED BACK
TT 10 CENT FRACTIONAL THIRD ISSUE FR 1253 PMG 66 EPQ RED BACK
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TT 15 CENT 3rd ISSUE FRACTIONAL FR 1272SPWMB PMG 66 EPQ
TT 15 CENT 3rd ISSUE FRACTIONAL FR 1272SPWMB PMG 66 EPQ
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FR 1266 10 Cents Fifth Issue Fractional Currency Short Thick Key PMG 12
FR 1266 10 Cents Fifth Issue Fractional Currency Short Thick Key PMG 12
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FR 1374 50¢ 4th Issue Fractional Currency PMG 58 EPQ
FR 1374 50¢ 4th Issue Fractional Currency PMG 58 EPQ
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FR 1343 50¢ 3rd Issue Fractional Currency PMG 55 AU
FR 1343 50¢ 3rd Issue Fractional Currency PMG 55 AU
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TT 50 CENT FOURTH ISSUE FRACTIONAL FR 1374 PMG 64 EPQ LARGE RED SEAL
TT 50 CENT FOURTH ISSUE FRACTIONAL FR 1374 PMG 64 EPQ LARGE RED SEAL
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AC Fr 1379 $050 1869 fractional fourth issue PMG 58EPQ
AC Fr 1379 $050 1869 fractional fourth issue PMG 58EPQ
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AU 50 CENT RED BACK HAND SIGNED SPINNER FRACTIONAL CURRENCY NOTE Fr 1328 PMG 55
AU 50 CENT RED BACK HAND SIGNED SPINNER FRACTIONAL CURRENCY NOTE Fr 1328 PMG 55
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FR 1308 25 Cents Fifth Issue Walker Fractional Currency Long Key PMG 12
FR 1308 25 Cents Fifth Issue Walker Fractional Currency Long Key PMG 12
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TT 50 CENT FRACTIONAL BOB HOPE FR 1381 PMG 66 GEM EPQ
TT 50 CENT FRACTIONAL BOB HOPE FR 1381 PMG 66 GEM EPQ
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TT 10 CENT 5TH ISSUE FRACTIONAL FR 1266 PMG 65 EPQ
TT 10 CENT 5TH ISSUE FRACTIONAL FR 1266 PMG 65 EPQ
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10 CENT FOURTH ISSUE FRACTIONAL CURRENCY 45 EPQ PMG m2
10 CENT FOURTH ISSUE FRACTIONAL CURRENCY 45 EPQ PMG m2
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FR 1233 Third Issue 3 Cents Washington Fractional Currency PMG AU 50 Nice
FR 1233 Third Issue 3 Cents Washington Fractional Currency PMG AU 50 Nice
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FR 1271 Scarce 15 Cent Fractional Currency PMG graded Fine 12
FR 1271 Scarce 15 Cent Fractional Currency PMG graded Fine 12
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1863 50 Cents Fractional Currency PMG 25 VF CUC172
1863 50 Cents Fractional Currency PMG 25 VF CUC172
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★ Fr1256 10 Cents FRACTIONAL NOTE Third Issue PMG 66 EPQ ★
★ Fr1256 10 Cents FRACTIONAL NOTE Third Issue PMG 66 EPQ ★
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FR 1246 Second Issue 10 Cents Washington Fractional Currency PMG Choice New 623
FR 1246 Second Issue 10 Cents Washington Fractional Currency PMG Choice New 623
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5c FRACTIONAL CURRENCY THIRD ISSUE 65EPQ PMG FR1238
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10c FRACTIONAL CURRENCY THIRD ISSUE 65EPQ PMG FR1251
10c FRACTIONAL CURRENCY THIRD ISSUE 65EPQ PMG FR1251
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FR 1242 First Issue 10 Cents Washington Fractional Currency PMG Very Fine 25
FR 1242 First Issue 10 Cents Washington Fractional Currency PMG Very Fine 25
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FR1279 25¢ 1ST FRACTIONAL CURRENCY W PERF EDGES W MONOGRAM PMG 63EPQ BP0301
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FR1232spwmb 5¢ 2ND ISS FRACTIONAL CURRENCY WIDE MARGINS SPECIMEN PMG 65 BP0302
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Fourth Issue 50 Cent Fractional Currency Fr1374 PMG Choice Uncirculated 64 EPQ
Fourth Issue 50 Cent Fractional Currency Fr1374 PMG Choice Uncirculated 64 EPQ
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FR1256 GEM CU 10¢ FRACTIONAL CURRENCY PMG 65 GRADE HV2127
FR1256 GEM CU 10¢ FRACTIONAL CURRENCY PMG 65 GRADE HV2127
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IsraelP 12b100 Prutah FractionalEshkol Zagaggi 1952 PMG UNC 64
IsraelP 12b100 Prutah FractionalEshkol Zagaggi 1952 PMG UNC 64
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FR1281 25¢ FRACTIONAL CURRENCY AU W PMG 58 EPQ BP1852
FR1281 25¢ FRACTIONAL CURRENCY AU W PMG 58 EPQ BP1852
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FRACTIONAL CURRENCY 5 CENT FIRST ISSUE FR1229 PMG 25
FRACTIONAL CURRENCY 5 CENT FIRST ISSUE FR1229 PMG 25
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IsraelP 6 750 100 Mils 1948 Fractional CARPET PMG UNC 64
IsraelP 6 750 100 Mils 1948 Fractional CARPET PMG UNC 64
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25 CENT SECOND ISSUE FRACTIONAL SPECIMEN STAMPER EXPERIMENTPMG 65 EPQ
25 CENT SECOND ISSUE FRACTIONAL SPECIMEN STAMPER EXPERIMENTPMG 65 EPQ
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25 CENT SECOND ISSUE FRACTIONAL SPECIMEN STAMPER EXPERIMENTPMG 66 EPQ
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25 CENT FRACTIONALSPECIMENPMG 66 EPQ
25 CENT FRACTIONALSPECIMENPMG 66 EPQ
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AU 25 CENT FRACTIONAL CURRENCY NOTE 1863 1867 SECOND ISSUE Fr 1284 PMG 58 EPQ
AU 25 CENT FRACTIONAL CURRENCY NOTE 1863 1867 SECOND ISSUE Fr 1284 PMG 58 EPQ
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1 3 THREE CENT NOTE 1864 FRACTIONAL CURRENCY OLD PAPER MONEY Fr 1226 PMG VF 25
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AU 10 CENT FRACTIONAL CURRENCY SECOND ISSUE NOTE Fr 1244 PMG 58 EPQ
AU 10 CENT FRACTIONAL CURRENCY SECOND ISSUE NOTE Fr 1244 PMG 58 EPQ
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1863 2nd Issue $10 Fractional Currency FR1246 PMG 64
1863 2nd Issue $10 Fractional Currency FR1246 PMG 64
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10 Cent Fifth Issue Fractional Note PMG 25 VF Fr1266
10 Cent Fifth Issue Fractional Note PMG 25 VF Fr1266
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25 Cent Second Issue Fractional Note PMG 30 VF Fr1285
25 Cent Second Issue Fractional Note PMG 30 VF Fr1285
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50 Cent Fourth Issue Fractional Note PMG 20 VF Fr1379 Green Seal
50 Cent Fourth Issue Fractional Note PMG 20 VF Fr1379 Green Seal
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3 CENT FRACTIONAL CURRENCY FR1226 LT BACKGROUND PMG GRADED 55 EXCEPTIONAL PAPER
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UC $010 5TH ISSUE FRACTIONAL PMG CH UNC 64 FR 1266
UC $010 5TH ISSUE FRACTIONAL PMG CH UNC 64 FR 1266
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Extremely Rare 10 CENT FRACTIONAL NOTE UNCUT SHEET OF 20 1862 3 PMG CHOICE AU 58
Extremely Rare 10 CENT FRACTIONAL NOTE UNCUT SHEET OF 20 1862 3 PMG CHOICE AU 58
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Children's Fractional Knowledge


Children's Fractional Knowledge


$159


Children's Fractional Knowledge

Fractional Calculus


Fractional Calculus


$111


Fractional calculus is undergoing rapidly and ongoing development. We can already recognize, that within its framework new concepts and strategies emerge, which lead to new challenging insights and surprising correlations between different branches of physics. This book is an invitation both to the interested student and the professional researcher. It presents a thorough introduction to the basics of fractional calculus and guides the reader directly to the current state-of-the-art physical interpretation. It is also devoted to the application of fractional calculus on physical problems, in the subjects of classical mechanics, friction, damping, oscillations, group theory, quantum mechanics, nuclear physics, and hadron spectroscopy up to quantum field theory.

Fractional Calculus for Scientists and Engineers


Fractional Calculus for Scientists and Engineers


$129


This book gives a practical overview of Fractional Calculus as it relates to Signal Processing

Fractional Dynamics


Fractional Dynamics


$169


"Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media" presents applications of fractional calculus, integral and differential equations of non-integer orders in describing systems with long-time memory, non-local spatial and fractal properties. Mathematical models of fractal media and distributions, generalized dynamical systems and discrete maps, non-local statistical mechanics and kinetics, dynamics of open quantum systems, the hydrodynamics and electrodynamics of complex media with non-local properties and memory are considered. This book is intended to meet the needs of scientists and graduate students in physics, mechanics and applied mathematics who are interested in electrodynamics, statistical and condensed matter physics, quantum dynamics, complex media theories and kinetics, discrete maps and lattice models, and nonlinear dynamics and chaos. Dr. Vasily E. Tarasov is a Senior Research Associate at Nuclear Physics Institute of Moscow State University and an Associate Professor at Applied Mathematics and Physics Department of Moscow Aviation Institute.

Fractional Processes and Fractional-Order Signal Processing


Fractional Processes and Fractional-Order Signal Processing


$179


Fractional processes are widely found in science, technology and engineering systems. In Fractional Processes and Fractional-order Signal Processing, some complex random signals, characterized by the presence of a heavy-tailed distribution or non-negligible dependence between distant observations (local and long memory), are introduced and examined from the 'fractional' perspective using simulation, fractional-order modeling and filtering and realization of fractional-order systems. These fractional-order signal processing (FOSP) techniques are based on fractional calculus, the fractional Fourier transform and fractional lower-order moments. Fractional Processes and Fractional-order Signal Processing: presents fractional processes of fixed, variable and distributed order studied as the output of fractional-order differential systems; introduces FOSP techniques and the fractional signals and fractional systems point of view; details real-world-application examples of FOSP techniques to demonstrate their utility; and provides important background material on Mittag--Leffler functions, the use of numerical inverse Laplace transform algorithms and supporting MATLAB(R) codes together with a helpful survey of relevant webpages. Readers will be able to use the techniques presented to re-examine their signals and signal-processing methods. This text offers an extended toolbox for complex signals from diverse fields in science and engineering. It will give academic researchers and practitioners a novel insight into the complex random signals characterized by fractional properties, and some powerful tools to analyze those signals.

Fractional Dynamics and Control


Fractional Dynamics and Control


$129


Fractional Dynamics and Control provides a comprehensive overview of recent advances in the areas of nonlinear dynamics, vibration and control with analytical, numerical, and experimental results. This book provides an overview of recent discoveries in fractional control, delves into fractional variational principles and differential equations, and applies advanced techniques in fractional calculus to solving complicated mathematical and physical problems.Finally, this book also discusses the role that fractional order modeling can play in complex systems for engineering and science.

Fractional Graph Theory (Paperback)


Fractional Graph Theory (Paperback)


$27.21


This volume explores the various ways in which integer-valued graph theory concepts can be modified to derive nonintegral values. It explains the general theory of hypergraphs and presents in-depth coverage of fundamental and advanced topics, including fractional matching, fractional coloring, fractional edge coloring, fractional arboricity via matroid methods, fractional isomorphism, and additional subjects. 1997 edition.

Fractional Dynamics and Control (Hardcover)


Fractional Dynamics and Control (Hardcover)


$322.85


Fractional Dynamics and Control provides a comprehensive overview of recent advances in the areas of nonlinear dynamics, vibration and control with analytical, numerical, and experimental results. This book provides an overview of recent discoveries in fractional control, delves into fractional variational principles and differential equations, and applies advanced techniques in fractional calculus to solving complicated mathematical and physical problems.Finally, this book also discusses the role that fractional order modeling can play in complex systems for engineering and science.

Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of The


Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of The


$99.21


This book is a landmark title in the continuous move from integer to non-integer in mathematics: from integer numbers to real numbers, from factorials to the gamma function, from integer-order models to models of an arbitrary order. For historical reasons, the word 'fractional' is used instead of the word 'arbitrary'. This book is written for readers who are new to the fields of fractional derivatives and fractional-order mathematical models, and feel that they need them for developing more adequate mathematical models. In this book, not only applied scientists, but also pure mathematicians will find fresh motivation for developing new methods and approaches in their fields of research. A reader will find in this book everything necessary for the initial study and immediate application of fractional derivatives fractional differential equations, including several necessary special functions, basic theory of fractional differentiation, uniqueness and existence theorems, analytical numerical methods of solution of fractional differential equations, and many inspiring examples of applications. Key Features * A unique survey of many applications of fractional calculus * Presents basic theory * Includes a unified presentation of selected classical results, which are important for applications * Provides many examples * Contains a separate chapter of fractional order control systems, which opens new perspectives in control theory * The first systematic consideration of Caputo's fractional derivative in comparison with other selected approaches * Includes tables of fractional derivatives, which can be used for evaluation of all considered types of fractional derivatives

Fractional Factorial Plans


Fractional Factorial Plans


$177


A one-stop reference to fractional factorials and related orthogonal arrays. Presenting one of the most dynamic areas of statistical research, this book offers a systematic, rigorous, and up-to-date treatment of fractional factorial designs and related combinatorial mathematics. Leading statisticians Aloke Dey and Rahul Mukerjee consolidate vast amounts of material from the professional literature--expertly weaving fractional replication, orthogonal arrays, and optimality aspects. They develop the basic theory of fractional factorials using the calculus of factorial arrangements, thereby providing a unified approach to the study of fractional factorial plans. An indispensable guide for statisticians in research and industry as well as for graduate students, Fractional Factorial Plans features: * Construction procedures of symmetric and asymmetric orthogonal arrays. * Many up-to-date research results on nonexistence. * A chapter on optimal fractional factorials not based on orthogonal arrays. * Trend-free plans, minimum aberration plans, and search and supersaturated designs. * Numerous examples and extensive references.

H3C Router 4-Ports Fractional T1 0231A048


H3C Router 4-Ports Fractional T1 0231A048


$929.65


H3C Router 4-Ports Fractional T1 0231A048

18pk Breakfast Blend Fractional Coffee Packs 18pots


18pk Breakfast Blend Fractional Coffee Packs 18pots


$37.99


18PK BREAKFAST BLEND FRACTIONAL COFFEE PACKS 18POTS

Fractional Dynamics (Hardcover)


Fractional Dynamics (Hardcover)


$402.24


This volume provides the latest developments in the field of fractional dynamics, which covers fractional (anomalous) transport phenomena, fractional statistical mechanics, fractional quantum mechanics and fractional quantum field theory. The contributors are selected based on their active and important contributions to their respective topics. This volume is the first of its kind that covers such a comprehensive range of topics in fractional dynamics. It will point out to advanced undergraduate and graduate students, and young researchers the possible directions of research in this subject.In addition to those who intend to work in this field and those already in the field, this volume will also be useful for researchers not directly involved in the field, but want to know the current status and trends of development in this subject. This latter group includes theoretical chemists, mathematical biologists and engineers.

Fractional Vortices


Fractional Vortices


$71.7


High Quality Content by WIKIPEDIA articles In a standard superconductor, described by a complex field(condensates wave function), vortices carry quantized magnetic field: a consequence of 2 invariance of the phase of the condensate wave function. There a winding of the phase by 2 creates a vortex which carries one flux quantum. See Quantum vortex. The term Fractional vortex is used for two kinds of very different quantum vortices which occur when: (i) A physical system allows phase windings different from 2pi times mathit{integer}. Author: Miller, Frederic P./ Vandome, Agnes F./ McBrewster, John Binding Type: Paperback Number of Pages: 92 Publication Date: 2010/08/11 Language: English Dimensions: 5.98 x 9.01 x 0.22 inches

Fractional-Order Nonlinear Systems


Fractional-Order Nonlinear Systems


$139


"Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation" presents a study of fractional-order chaotic systems accompanied by Matlab programs for simulating their state space trajectories, which are shown in the illustrations in the book. Description of the chaotic systems is clearly presented and their analysis and numerical solution are done in an easy-to-follow manner. Simulink models for the selected fractional-order systems are also presented. The readers will understand the fundamentals of the fractional calculus, how real dynamical systems can be described using fractional derivatives and fractional differential equations, and how such equations can be solved, and how to simulate and explore chaotic systems of fractional order.The book addresses to mathematicians, physicists, engineers, and other scientists interested in chaos phenomena or in fractional-order systems. It can be used in courses on dynamical systems, control theory, and applied mathematics at graduate or postgraduate level. Ivo PetraA! is an Associate Professor of automatic control and the Director of the Institute of Control and Informatization of Production Processes, Faculty of BERG, Technical University of KoA!ice, Slovak Republic. His main research interests include control systems, industrial automation, and applied mathematics.

Handbook of Fractional-Horsepower Drives


Handbook of Fractional-Horsepower Drives


$129


Fractional horsepower drives are crucial for various kinds of products, from simple domestic utensils to most complex technological applications. This book provides an overview on the drives. It also offers a reference on the design, functionality, properties, and applications of fractional horsepower drives.

Advances in Fractional Calculus


Advances in Fractional Calculus


$219


In the last two decades, fractional (or non integer) differentiation has played a very important role in various fields such as mechanics, electricity, chemistry, biology, economics, control theory and signal and image processing. For example, in the last three fields, some important considerations such as modelling, curve fitting, filtering, pattern recognition, edge detection, identification, stability, controllability, observability and robustness are now linked to long-range dependence phenomena. Similar progress has been made in other fields listed here. The scope of the book is thus to present the state of the art in the study of fractional systems and the application of fractional differentiation. As this volume covers recent applications of fractional calculus, it will be of interest to engineers, scientists, and applied mathematicians.

Fractional Differential Equations


Fractional Differential Equations


$114


This book is a landmark title in the continuous move from integer to non-integer in mathematics: from integer numbers to real numbers, from factorials to the gamma function, from integer-order models to models of an arbitrary order. For historical reasons, the word 'fractional' is used instead of the word 'arbitrary'. This book is written for readers who are new to the fields of fractional derivatives and fractional-order mathematical models, and feel that they need them for developing more adequate mathematical models. In this book, not only applied scientists, but also pure mathematicians will find fresh motivation for developing new methods and approaches in their fields of research. A reader will find in this book everything necessary for the initial study and immediate application of fractional derivatives fractional differential equations, including several necessary special functions, basic theory of fractional differentiation, uniqueness and existence theorems, analytical numerical methods of solution of fractional differential equations, and many inspiring examples of applications. Key Features * A unique survey of many applications of fractional calculus * Presents basic theory * Includes a unified presentation of selected classical results, which are important for applications * Provides many examples * Contains a separate chapter of fractional order control systems, which opens new perspectives in control theory * The first systematic consideration of Caputo's fractional derivative in comparison with other selected approaches * Includes tables of fractional derivatives, which can be used for evaluation of all considered types of fractional derivatives

Advances on Fractional Inequalities


Advances on Fractional Inequalities


$49.95


Advances on Fractional Inequalities use primarily the Caputo fractional derivative, as the most important in applications, and presents the first fractional differentiation inequalities of Opial type which involves the balanced fractional derivatives. The book continues with right and mixed fractional differentiation Ostrowski inequalities in the univariate and multivariate cases. Next the right and left, as well as mixed, Landau fractional differentiation inequalities in the univariate and multivariate cases are illustrated. Throughout the book many applications are given. Fractional differentiation inequalities are by themselves an important and great mathematical topic for research. Furthermore they have many applications, the most important ones are in establishing uniqueness of solution in fractional differential equations and systems and in fractional partial differential equations. Also they provide upper bounds to the solutions of the above equations. Fractional Calculus has emerged as very useful over the last forty years due to its many applications in almost all applied sciences.This is currently seen in applications in acoustic wave propagation in inhomogeneous porous material, diffusive transport, fluid flow, dynamical processes in self-similar structures, dynamics of earthquakes, optics, geology, viscoelastic materials, bio-sciences, bioengineering, medicine, economics, probability and statistics, astrophysics, chemical engineering, physics, splines, tomography, fluid mechanics, electromagnetic waves, nonlinear control, signal processing, control of power electronic, converters, chaotic dynamics, polymer science, proteins, polymer physics, electrochemistry, statistical physics, rheology, thermodynamics, neural networks, etc. Almost all fields of research in science and engineering use fractional calculus in order to describe results. This book is a part of Fractional Calculus, therefore it is useful for researchers and graduate students for research, seminars and advanced graduate courses, in pure and applied mathematics, engineering and all other applied sciences.

Fractional Derivatives and Physical Applications


Fractional Derivatives and Physical Applications


$93.99


This work is devoted to integrals and derivatives of arbitrary order and applications of the described methods in various fields. This study intends to increase the accessibility of fractional calculus by combining an introduction to the mathematics with a review of selected recent applications in physics. It is described general definitions of fractional derivatives. This definitions are compared with their advantages and disadvantages. Fractional calculus concerns the generalization of differentiation and integration to non integer orders. Author: Gken, Murat Binding Type: Paperback Number of Pages: 100 Publication Date: 2010/06/14 Language: English Dimensions: 5.98 x 9.01 x 0.23 inches

Fractional-order Systems and Controls


Fractional-order Systems and Controls


$179


Fractional-order Systems and Controls details the use of fractional calculus in the description and modeling of systems, and in a range of control design and practical applications. It is largely self-contained, covering the fundamentals of fractional calculus together with some analytical and numerical techniques and providing MATLAB(R) codes for the simulation of fractional-order control (FOC) systems. Many different FOC schemes are presented for control and dynamic systems problems. Practical material relating to a wide variety of applications is also provided. All the control schemes and applications are presented in the monograph with either system simulation results or real experimental results, or both. Fractional-order Systems and Controls provides readers with a basic understanding of FOC concepts and methods, so they can extend their use of FOC in other industrial system applications, thereby expanding their range of disciplines by exploiting this versatile new set of control techniques.

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pMg Front rbg woman Dark T-Shirt by CafePress


$26


Don't waste time deciding on which shirt to put on each morning. This dark shirt t-shirt will never go out of style and hides stains better too. This high-quality t-shirt is pre-shrunk and 100% cotton, which makes it both comfortable and durable. Front rbg woman Dark T-Shirt Tee, TShirt, Shirt Don't waste time deciding on which shirt to put on each morning. This dark shirt t-shirt will never go out of style and hides stains better too. This high-quality t-shirt is pre-shrunk and 100% cotton, which makes it both comfortable and durable.

Theory and Applications of Fractional Differential Equations


Theory and Applications of Fractional Differential Equations


$165


Provides the developments on fractional differential and fractional integro-differential equations involving many different potentially useful operators of fractional calculus. This book is written for the graduate students and researchers in many different disciplines in the mathematical, physical, engineering and other sciences.

Fractional Differentiation Inequalities


Fractional Differentiation Inequalities


$129


Presents the Opial, Poincare, Sobolev, Hilbert, and Ostrowski fractional differentiation inequalities. This monograph examines both the univariate and multivariate cases. It is suitable for researchers and graduate students in pure mathematics, applied mathematicians, engineers, and other applied scientists.

Billabong Fractional Tee (Vintage Blue)


Billabong Fractional Tee (Vintage Blue)


$20


The Billabong Fractional Tee is a graphic Billabong tee made from 100% Organic Cotton.

Statistical Inference for Fractional Diffusion Processes


Statistical Inference for Fractional Diffusion Processes


$112


Stochastic processes are widely used for model building in the social, physical, engineering and life sciences as well as in financial economics. In model building, statistical inference for stochastic processes is of great importance from both a theoretical and an applications point of view. This book deals with Fractional Diffusion Processes and statistical inference for such stochastic processes. The main focus of the book is to consider parametric and nonparametric inference problems for fractional diffusion processes when a complete path of the process over a finite interval is observable. Key features: Introduces self-similar processes, fractional Brownian motion and stochastic integration with respect to fractional Brownian motion. Provides a comprehensive review of statistical inference for processes driven by fractional Brownian motion for modelling long range dependence. Presents a study of parametric and nonparametric inference problems for the fractional diffusion process. Discusses the fractional Brownian sheet and infinite dimensional fractional Brownian motion. Includes recent results and developments in the area of statistical inference of fractional diffusion processes. Researchers and students working on the statistics of fractional diffusion processes and applied mathematicians and statisticians involved in stochastic process modelling will benefit from this book.

Stochastic Models for Fractional Calculus


Stochastic Models for Fractional Calculus


$150


This monograph develops the basic theory of fractional calculus and anomalous diffusion, from the point of view of probability. The reader will see how fractional calculus and anomalous diffusion can be understood at a deep and intuitive level, using ideas from probability. The book covers basic limit theorems for random variables and random vectors with heavy tails. Heavy tails are applied in finance, insurance, physics, geophysics, cell biology, ecology, medicine, and computer engineering.

Functional Fractional Calculus


Functional Fractional Calculus


$229


When a new extraordinary and outstanding theory is stated, it has to face criticism and skeptism, because it is beyond the usual concept. The fractional calculus though not new, was not discussed or developed for a long time, particularly for lack of its application to real life problems. It is extraordinary because it does not deal with 'ordinary' differential calculus. It is outstanding because it can now be applied to situations where existing theories fail to give satisfactory results. In this book not only mathematical abstractions are discussed in a lucid manner, with physical mathematical and geometrical explanations, but also several practical applications are given particularly for system identification, description and then efficient controls. The normal physical laws like, transport theory, electrodynamics, equation of motions, elasticity, viscosity, and several others of are based on 'ordinary' calculus.In this book these physical laws are generalized in fractional calculus contexts; taking, heterogeneity effect in transport background, the space having traps or islands, irregular distribution of charges, non-ideal spring with mass connected to a pointless-mass ball, material behaving with viscous as well as elastic properties, system relaxation with and without memory, physics of random delay in computer network; and several others; mapping the reality of nature closely. The concept of fractional and complex order differentiation and integration are elaborated mathematically, physically and geometrically with examples. The practical utility of local fractional differentiation for enhancing the character of singularity at phase transition or characterizing the irregularity measure of response function is deliberated. Practical results of viscoelastic experiments, fractional order controls experiments, design of fractional controller and practical circuit synthesis for fractional order elements are elaborated in this book.The book also maps theory of classical integer order differential equations to fractional calculus contexts, and deals in details with conflicting and demanding initialization issues, required in classical techniques. The book presents a modern approach to solve the 'solvable' system of fractional and other differential equations, linear, non-linear; without perturbation or transformations, but by applying physical principle of action-and-opposite-reaction, giving 'approximately exact' series solutions. Historically, Sir Isaac Newton and Gottfried Wihelm Leibniz independently discovered calculus in the middle of the 17th century. In recognition to this remarkable discovery, J.von Neumann remarked, "...the calculus was the first achievement of modern mathematics and it is difficult to overestimate its importance. I think it defines more equivocally than anything else the inception of modern mathematical analysis which is logical development, still constitute the greatest techn

Fractional Order Signal Processing


Fractional Order Signal Processing


$49.95


The book tries to briefly introduce the diverse literatures in the field of fractional order signal processing which is becoming an emerging topic among an interdisciplinary community of researchers. This book is aimed at postgraduate and beginning level research scholars who would like to work in the field of Fractional Order Signal processing (FOSP). The readers should have preliminary knowledge about basic signal processing techniques. Prerequisite knowledge of fractional calculus is not essential and is exposited at relevant places in connection to the appropriate signal processing topics. Basic signal processing techniques like filtering, estimation, system identification, etc. in the light of fractional order calculus are presented along with relevant application areas. The readers can easily extend these concepts to varied disciplines like image or speech processing, pattern recognition, time series forecasting, financial data analysis and modeling, traffic modeling in communication channels, optics, biomedical signal processing, electrochemical applications and many more. Adequate references are provided in each category so that the researchers can delve deeper into each area and broaden their horizon of understanding. Available MATLAB tools to simulate FOSP theories are also introduced so that the readers can apply the theoretical concepts right-away and gain practical insight in the specific domain.

Option Pricing in Fractional Brownian Markets


Option Pricing in Fractional Brownian Markets


$99


As the unrestricted fractional market setting allows for arbitrage, the conventional reasoning is that fractional Brownian motion does not qualify for modeling price process. This book points out that arbitrage can only be excluded in case that market prices move at least slightly faster than any market participant can react.

Fractional Statistics And Quantum Theory


Fractional Statistics And Quantum Theory


$71.5


This book explains the subtleties of quantum statistical mechanics in lower dimensions and their possible ramifications in quantum theory. The discussion is at a pedagogical level and is addressed to both graduate students and advanced researchers with a reasonable background in quantum and statistical mechanics. Topics in the first part of the book include the flux tube model of anyons, the braid group and a detailed discussion about the various aspects of quantum and statistical mechanics of a noninteracting anyon gas. The second part of the book includes a detailed discussion about fractional statistics from the point of view of ChernSimons theories. Topics covered here include ChernSimons field theories, charged vortices, anyon superconductivity and the fractional quantum Hall effect. Since the publication of the first edition of the book, an exciting possibility has emerged, that of quantum computing using anyons. A section has therefore been included on this topic in the second edition. In addition, new sections have been added about scattering of anyons with hard disk repulsion as well as fractional exclusion statistics and negative probabilities.

Fractional Crystallization (Geology)


Fractional Crystallization (Geology)


$58.94


Fractional crystallization is one of the most important geochemical and physical processes operating within the Earths crust and mantle. Fractional crystallization is the removal and segregation from a melt of mineral precipitates; except in special cases, removal of the crystals changes the composition of the magma. Fractional crystallization in silicate melts is complex compared to crystallization in chemical systems at constant pressure and composition, because changes in pressure and composition can have dramatic effects on magma evolution. Addition and loss of water, carbon dioxide, hydrogen, and oxygen are among the compositional changes that must be considered. For example, the partial pressure of water in silicate melts can be of prime importance, as in nearsolidus crystallization of magmas of granite composition. The crystallization sequence of oxide minerals such as magnetite and ulvospinel is sensitive to the oxygen fugacity of melts, and separation of the oxide phases can be an important control of silica concentration in the evolving magma, and may be important in andesite genesis. Author: Miller, Frederic P./ Vandome, Agnes F./ McBrewster, John Binding Type: Paperback Number of Pages: 68 Publication Date: 2010/07/27 Language: English Dimensions: 5.98 x 9.01 x 0.16 inches
 

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