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1

Takeo, Kenichi, Yasuhiro Teramoto, Yumi Shimono та Yasunori Nitta. "Synthesis of the oligosaccharides α-d-Glcp(1→4)-d-Xylp, α-d-Xylp-(1→4)-d-Glcp, α-d-Glcp-(1→4)-α-d-Glcp-(1→4)-d-Xylp, α-d-Glcp-(1→4)-α-d-Xylp-(1→4)-d-Glcp, and α-d-Xylp-(1→4)-α-d-Glcp-(1→4)-d-Glcp". Carbohydrate Research 209 (січень 1991): 167–79. http://dx.doi.org/10.1016/0008-6215(91)80154-f.

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2

Gilgun, Jane F. "The 4-D." Journal of Human Behavior in the Social Environment 10, no. 4 (May 17, 2005): 51–73. http://dx.doi.org/10.1300/j137v10n04_04.

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3

Zadorozhny, A. V. "Synthesis of substituted 4-aminothieno[2,3-d]-, 4-aminothieno[3,2-d]- and 4-aminothieno[3,4-d]pyrimidines." Chemistry of Heterocyclic Compounds 48, no. 7 (October 2012): 1028–32. http://dx.doi.org/10.1007/s10593-012-1095-y.

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4

Liu, Hong, and A. A. Tseytlin. "D = 4 super Yang-Mills, D = 5 gauged supergravity and D = 4 conformal supergravity." Nuclear Physics B 533, no. 1-3 (November 1998): 88–108. http://dx.doi.org/10.1016/s0550-3213(98)00443-x.

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5

Elkies, Noam D. "On A 4 + B 4 + C 4 = D 4." Mathematics of Computation 51, no. 184 (October 1988): 825. http://dx.doi.org/10.2307/2008781.

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6

Shafiee, A., A. Shafaati, and B. Habibi-Khameneh. "Selenium heterocycles. XXXIX. Synthesis of thieno[3, 4-d]thiazole, thieno[3, 4-d]selenazole, selenolo[3, 4-d]thiazole and selenolo[3, 4-d]selenazole." Journal of Heterocyclic Chemistry 26, no. 3 (May 1989): 709–11. http://dx.doi.org/10.1002/jhet.5570260334.

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7

André, Jean-Marie. "4. Copeaux d’ images." Hegel N° 4, no. 4 (2017): 345. http://dx.doi.org/10.4267/2042/63790.

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8

Talati, Ronak, and Shubham Shah. "4-D Authentication Mechanism." IOSR Journal of Computer Engineering 16, no. 2 (2014): 01–06. http://dx.doi.org/10.9790/0661-16250106.

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9

Weissman, Martin H. "D 4 modular forms." American Journal of Mathematics 128, no. 4 (2006): 849–98. http://dx.doi.org/10.1353/ajm.2006.0035.

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10

Martineau, Kimberly. "Oil in 4-D." Scientific American 277, no. 5 (November 1997): 45–47. http://dx.doi.org/10.1038/scientificamerican1197-45b.

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11

Hewison, M., and J. L. H. O'Riordan. "4 Vitamin D resistance." Baillière's Clinical Endocrinology and Metabolism 8, no. 2 (April 1994): 305–15. http://dx.doi.org/10.1016/s0950-351x(05)80254-x.

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12

Brewis, Louis Hugo. "Liftable D 4-covers." manuscripta mathematica 126, no. 3 (March 29, 2008): 293–313. http://dx.doi.org/10.1007/s00229-008-0179-6.

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13

Taylor, T. R., and G. Veneziano. "Strings and D=4." Physics Letters B 212, no. 2 (September 1988): 147–52. http://dx.doi.org/10.1016/0370-2693(88)90515-1.

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14

Zhang, Zhongfeng. "On the Diophantine equation (x − d)4 + x4 + (x + d)4 = yn." International Journal of Number Theory 13, no. 09 (September 20, 2017): 2229–43. http://dx.doi.org/10.1142/s1793042117501214.

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In this paper, we study the Diophantine equation [Formula: see text], and based on Frey–Hellegouarch curves and their corresponding Galois representations, we solve the equation for various choices of [Formula: see text].
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15

Miyashita, Akira, Kazuhiro Obae, Yumiko Suzuki, Etsuo Oishi, Ken-ichi Iwamoto, and Takeo Higashino. "Aroylation of Fused Pyrimidines; Synthesis of 4-Aroylfuro[2,3-d]-, 4-Aroylthieno[2,3-d]-, and 4-Aroylisoxazolo[5,4-d]pyrimidines." HETEROCYCLES 45, no. 11 (1997): 2159. http://dx.doi.org/10.3987/com-97-7914.

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16

Liotta, Louis J., Rita D. Capotosto, Rachel A. Garbitt, Brian M. Horan, Pamela J. Kelly, Andrew P. Koleros, Lisa M. Brouillette, Amy M. Kuhn та Sonia Targontsidis. "Synthesis of methyl α-d-glucopyranosyl-(1→4)-α-d-galactopyranoside and methyl α-d-xylo-hex-4-ulopyranosyl-(1→4)-α-d-galactopyranoside". Carbohydrate Research 331, № 3 (квітень 2001): 247–53. http://dx.doi.org/10.1016/s0008-6215(01)00044-1.

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17

Ebrom, Dan, Paul Krail, Dave Ridyard, and Larry Scott. "4-C/4-D at Teal South." Leading Edge 17, no. 10 (October 1998): 1450–53. http://dx.doi.org/10.1190/1.1437876.

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18

Zhang, Wenhui, Allen G. Oliver та Anthony S. Serianni. "4-Deoxy-4-fluoro-β-D-glucopyranose". Acta Crystallographica Section C Crystal Structure Communications 66, № 10 (4 вересня 2010): o496—o498. http://dx.doi.org/10.1107/s0108270110034001.

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19

Hammer, R. "Diagnostischer Zugewinn durch 3-D/4-D-Volumensonographie." Der Gynäkologe 45, no. 10 (October 2012): 752–60. http://dx.doi.org/10.1007/s00129-012-2970-4.

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20

Cornwall, John M. "How d = 3 QCD resembles d = 4 QCD." Physica A: Statistical Mechanics and its Applications 158, no. 1 (May 1989): 97–110. http://dx.doi.org/10.1016/0378-4371(89)90511-6.

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21

Giuffredi, Guy T., Laura E. Jennings, Bruno Bernet та Véronique Gouverneur. "Facile synthesis of 4-deoxy-4-fluoro-α-d-talopyranoside, 4-deoxy-4-fluoro-α-d-idopyranoside and 2,4-dideoxy-2,4-difluoro-α-d-talopyranoside". Journal of Fluorine Chemistry 132, № 10 (жовтень 2011): 772–78. http://dx.doi.org/10.1016/j.jfluchem.2011.05.017.

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22

Sarkar, Arun K., та Nirmolendu Roy. "Synthesis of O-(β-d-glucopyranosyluronic acid)-(1→4)-O-β-d-galactopyranosyl-(1→4)-d-glucopyranose". Carbohydrate Research 163, № 2 (червень 1987): 285–88. http://dx.doi.org/10.1016/0008-6215(87)80191-x.

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23

FUJIMOTO, Takashi, Daisuke MIURA, Akari IWAMOTO, Tomoya MACHINAMI, and Mitsuru TASHIRO. "Crystal Structure of ^|^beta;-D-Fructofuranosyl 4-chloro-4-deoxy-^|^alpha;-D-galactopyranoside." X-ray Structure Analysis Online 29 (2013): 43–44. http://dx.doi.org/10.2116/xraystruct.29.43.

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24

Ananth, Sudarshan, Lars Brink, and Pierre Ramond. "Oxidizing SuperYang-Mills from (N=4,d=4) to (N=1,d=10)." Journal of High Energy Physics 2004, no. 07 (August 3, 2004): 082. http://dx.doi.org/10.1088/1126-6708/2004/07/082.

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25

Ohnari, Youjiro, Noburu Hattori, and Nobuoki Kono. "4. KL-6 and SP-D." Nihon Naika Gakkai Zasshi 96, no. 10 (2007): 2144–50. http://dx.doi.org/10.2169/naika.96.2144.

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26

Liotta, Louis J., Rita D. Capotosto, Rachel A. Garbitt, Brian M. Horan, Pamela J. Kelly, Andrew P. Koleros, Lisa M. Brouillette, Amy M. Kuhn та Sonia Targontsidis. "ChemInform Abstract: Synthesis of Methyl α-D-Glucopyranosyl-(1→4)-α-D-galactopyranoside and Methyl α-D-xylo-Hex-4-ulopyranosyl- (1→4)-α-D-galactopyranoside." ChemInform 32, № 35 (25 травня 2010): no. http://dx.doi.org/10.1002/chin.200135214.

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27

OHTSUKA, Koutaro, Keisuke TSUJI, Yasue NAKAGAWA, Hiroshi VEDA, Osamu OZAWA, Takatsugu UCHIDA, and Tomio ICHIKAWA. "Availability of 4'galactosyllactose (O-.BETA.-D-galactopyranosyl-(1.RAR.4)-O-.BETA.-D-galactopyranosyl-(1.RAR.4)-D-glucopyranose) in rat." Journal of Nutritional Science and Vitaminology 36, no. 3 (1990): 265–76. http://dx.doi.org/10.3177/jnsv.36.265.

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28

MIYASHITA, A., K. OBAE, Y. SUZUKI, E. OISHI, K. IWAMOTO, and T. HIGASHINO. "ChemInform Abstract: Aroylation of Fused Pyrimidines: Synthesis of 4-Aroylfuro[2,3-d]-, 4-Aroylthieno[2,3-d]-, and 4-Aroylisoxazolo[5,4-d]pyrimidines." ChemInform 29, no. 15 (June 23, 2010): no. http://dx.doi.org/10.1002/chin.199815157.

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29

Bignan, Gilles, Christophe Morin, and Michel Vidal. "Synthesis of 4-iodo-4-deoxy-D-glucose." Tetrahedron Letters 35, no. 23 (June 1994): 3909–12. http://dx.doi.org/10.1016/s0040-4039(00)76699-8.

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30

Schouten, Arie, Jan A. Kanters, Jan Kroon, Philippe Looten, Pierrick Duflot та Mohamed Mathlouthi. "Crystal and molecular structure of maltotriitol (4-O-α-d-glucopyranosyl-4-O-α-d-glucopyranosyl-d-glucitol)". Carbohydrate Research 322, № 3-4 (грудень 1999): 274–78. http://dx.doi.org/10.1016/s0008-6215(99)00226-8.

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31

Cohen, A. I., K. O'Malley, R. Todd, and J. Meador-Woodruff. "Mouse retinas contain D-2 and D-4 receptors: Photoreceptor D-4 receptors are coupled to adenylate cyclase." Experimental Eye Research 55 (September 1992): 72. http://dx.doi.org/10.1016/0014-4835(92)90457-4.

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32

Li, Hua, and Anthony Yezzi. "Vessels as 4-D Curves: Global Minimal 4-D Paths to Extract 3-D Tubular Surfaces and Centerlines." IEEE Transactions on Medical Imaging 26, no. 9 (September 2007): 1213–23. http://dx.doi.org/10.1109/tmi.2007.903696.

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33

Goto, Fumitaka, та Tomoya Ogawa. "Synthesis of sulfated glycohexaose of linkage region of chondroitin 4-sulfate: β-D-GlcA-(1→3){(SO3Na→4)}-β-D-GalNAc-(1→4)-β-D-GlcA-(1→3)-β-D-Gal-(1→3 )-β-D-Gal-(1→4)-D-Xyl". Tetrahedron Letters 33, № 45 (листопад 1992): 6841–44. http://dx.doi.org/10.1016/s0040-4039(00)61790-2.

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34

Percy, Ann, Hiroshi Ono, Derek Watt та Kiyoshi Hayashi. "Synthesis of β-d-glucopyranosyl-(1 → 4)-d-arabinose, β-d-glucopyranosyl-(1 → 4)-l-fucose and β-d-glucopyranosyl-(1 → 4)- d-altrose catalysed by cellobiose phosphorylase from Cellvibrio gilvus". Carbohydrate Research 305, № 3-4 (грудень 1997): 543–48. http://dx.doi.org/10.1016/s0008-6215(97)00247-4.

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35

Lukierski, J., J. Sobczyk, and A. Nowicki. "Quantum D=4 Poincare superalgebra." Journal of Physics A: Mathematical and General 26, no. 21 (November 7, 1993): L1099—L1109. http://dx.doi.org/10.1088/0305-4470/26/21/001.

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36

Franzen, Allison, Tracy Greene, Cynthia Van Landingham, and Robinan Gentry. "Toxicology of octamethylcyclotetrasiloxane (D 4 )." Toxicology Letters 279 (October 2017): 2–22. http://dx.doi.org/10.1016/j.toxlet.2017.06.007.

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37

Bliznac Trebješanin, Marija, and Alan Filipin. "Nonexistence of D(4)-quintuples." Journal of Number Theory 194 (January 2019): 170–217. http://dx.doi.org/10.1016/j.jnt.2018.07.013.

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38

Sato, Takuya, Shihori Hara, Makiko Sato, Keita Ogawa, Michael Adams, and Toyonobu Usuki. "Synthesis of cynaropicrin- d 4." Bioorganic & Medicinal Chemistry Letters 25, no. 23 (December 2015): 5504–7. http://dx.doi.org/10.1016/j.bmcl.2015.10.065.

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39

Casana, R., B. M. Pimentel, and G. E. R. Zambrano. "S Q E D 4 and Q E D 4 on the Null-Plane." Brazilian Journal of Physics 44, no. 4 (June 25, 2014): 398–409. http://dx.doi.org/10.1007/s13538-014-0237-3.

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40

Krohn, Karsten, and Ivan Shuklov. "Two Efficient Syntheses of Protected 4‐Deoxy‐D‐lyxo‐hexose (4‐Desoxy‐D‐mannose)." Journal of Carbohydrate Chemistry 25, no. 4 (June 2006): 331–43. http://dx.doi.org/10.1080/07328300600770519.

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41

Fronza, Giovanni, Claudio Fuganti, Piero Grasselli, and Stefano Servi. "Bakers' yeast mediated synthesis of 4-deoxy-D-lyxo-hexopyranose (4-deoxy-D-mannose)." Journal of Organic Chemistry 52, no. 10 (May 1987): 2086–89. http://dx.doi.org/10.1021/jo00386a034.

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42

Giuffredi, Guy T., Laura E. Jennings, Bruno Bernet та Veronique Gouverneur. "ChemInform Abstract: Facile Synthesis of 4-Deoxy-4-fluoro-α-D-talopyranoside, 4-Deoxy-4-fluoro-α-D-idopyranoside and 2,4-Dideoxy-2,4-difluoro-α-D-talopyranoside." ChemInform 43, № 1 (9 грудня 2011): no. http://dx.doi.org/10.1002/chin.201201178.

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43

Chmovzh, Timofey N., Daria A. Alekhina, Timofey A. Kudryashev, and Oleg A. Rakitin. "4-Bromobenzo[1,2-d:4,5-d′]bis([1,2,3]thiadiazole)." Molbank 2022, no. 2 (May 12, 2022): M1362. http://dx.doi.org/10.3390/m1362.

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Bromoderivatives of benzofused 1,2,5-thiadiazoles are important precursors for the synthesis of dyes, which are widely used to design effective photovoltaic materials. In this study, 4-bromobenzo[1,2-d:4,5-d′]bis([1,2,3]thiadiazole was selectively obtained from the bromination of benzo[1,2-d:4,5-d′]bis([1,2,3]thiadiazole. The structure of the newly synthesized compound was established by means of elemental analysis, high-resolution mass spectrometry, 1H-, 13C-NMR, IR and UV spectroscopy and mass spectrometry.
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44

Zhang, Wenhui, Allen G. Oliver, Henry M. Vu, John G. Duman та Anthony S. Serianni. "Methyl 4-O-β-D-mannopyranosyl β-D-xylopyranoside". Acta Crystallographica Section C Crystal Structure Communications 68, № 12 (29 листопада 2012): o502—o506. http://dx.doi.org/10.1107/s0108270112046689.

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Methyl β-D-mannopyranosyl-(1→4)-β-D-xylopyranoside, C12H22O10, (I), crystallizes as colorless needles from water, with two crystallographically independent molecules, (IA) and (IB), comprising the asymmetric unit. The internal glycosidic linkage conformation in molecule (IA) is characterized by a φ′ torsion angle (O5′Man—C1′Man—O1′Man—C4Xyl; Man is mannose and Xyl is xylose) of −88.38 (17)° and a ψ′ torsion angle (C1′Man—O1′Man—C4Xyl—C5Xyl) of −149.22 (15)°, whereas the corresponding torsion angles in molecule (IB) are −89.82 (17) and −159.98 (14)°, respectively. Ring atom numbering conforms to the convention in which C1 denotes the anomeric C atom, and C5 and C6 denote the hydroxymethyl (–CH2OH) C atom in the β-Xylpand β-Manpresidues, respectively. By comparison, the internal glycosidic linkage in the major disorder component of the structurally related disaccharide, methyl β-D-galactopyranosyl-(1→4)-β-D-xylopyranoside), (II) [Zhang, Oliver & Serriani (2012).Acta Cryst.C68, o7–o11], is characterized by φ′ = −85.7 (6)° and ψ′ = −141.6 (8)°. Inter-residue hydrogen bonding is observed between atoms O3Xyland O5′Manin both (IA) and (IB) [O3Xyl...O5′Maninternuclear distances = 2.7268 (16) and 2.6920 (17) Å, respectively], analogous to the inter-residue hydrogen bond detected between atoms O3Xyland O5′Galin (II). Exocyclic hydroxymethyl group conformation in the β-Manpresidue of (IA) isgauche–gauche, whereas that in the β-Manpresidue of (IB) isgauche–trans.
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45

Oreste Mazzini, Jose. "Quantum Measurement Explained as Projected Probability from 4-D to 3-D." International Journal of Science and Research (IJSR) 13, no. 12 (December 27, 2024): 1748–51. https://doi.org/10.21275/sr241228024435.

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46

Koto, Shinkiti, Ami Kusunoki та Motoko Hirooka. "In situ Activating Glycosylation of 6-Deoxysugars: Synthesis ofO-α-D-Fucosyl-(1→4)-O-α-D-fucosyl-(1→4)-O-α-D-quinovosyl-(1→4)-D-quinovose". Bulletin of the Chemical Society of Japan 73, № 4 (квітень 2000): 967–76. http://dx.doi.org/10.1246/bcsj.73.967.

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47

Linden, Anthony, C. Kuan Lee та A. S. Muhammad Sofian. "3-O-Acetyl-4-deoxy-4-iodo-β-D-fructofuranosyl 2,3,6-tri-O-acetyl-4-chloro-4-deoxy-α-D-glucopyranoside". Acta Crystallographica Section C Crystal Structure Communications 57, № 9 (11 вересня 2001): 1098–100. http://dx.doi.org/10.1107/s0108270101009994.

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48

Elkies, Noam D. "On $A\sp 4+B\sp 4+C\sp 4=D\sp 4$." Mathematics of Computation 51, no. 184 (1988): 825. http://dx.doi.org/10.1090/s0025-5718-1988-0930224-9.

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49

Takeo, Kenichi, Masayuki Nakagen, Yasuhiro Teramoto та Yasunori Nitta. "Synthesis of O-α-d-glucopyranosyl-(1→4)-O-α-d-xylopyranosyl-(1→4)-O-α-d-xylopyranosyl-(1→4)-d-glucopyranose as a substrate analogue of alpha amylase". Carbohydrate Research 201, № 2 (липень 1990): 261–75. http://dx.doi.org/10.1016/0008-6215(90)84242-m.

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50

Jaito, Nongluck, Wataru Saburi, Hirohiko Muto, Hirokazu Matsui та Haruhide Mori. "Colorimetric Quantification of β-(1→4)-Mannobiose and 4-O-β-D-Mannosyl-D-glucose". Journal of Applied Glycoscience 61, № 4 (2014): 117–19. http://dx.doi.org/10.5458/jag.jag.jag-2014_007.

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