• 検索結果がありません。

近畿大学学術情報リポジトリ

N/A
N/A
Protected

Academic year: 2021

シェア "近畿大学学術情報リポジトリ"

Copied!
42
0
0

読み込み中.... (全文を見る)

全文

(1)The Diatom Flora of a Pond (so-called "Farm-Pond") in the Experimental Farm of the Kinki University at Yuasa, Wakayama Prefecture, Japan. Ken-ichiro NEGORO. Synopsis The diatom flora of an irrigation pond in the experimental farm of the Kinki University, at Yuasa, Wakayama Prefecture was studied by the author and 83 taxa of diatom from there enumerated. They belong to 24 genera, among which the genera, having compartively many taxa, are as follows: Pinnularia(18), Enuotia(8), Cymbel/a(8), Neidium(7) , Gomphonema(5), Surirella(5). The noteworthy diatoms are Actinella brasiliensis, Pinnularia britannica, Gom­ phocymbella ancyli, Surirella Pantocseckii and Surirella Terryana. In the experimental farm of the Kinki University, there is a pond, which was formerly used for irrigation to the rice-fields and came recently into use for cultivation of Tilapia nilotica, one of the tropical fresh-water fishes. The farm (ca. 5.0 ha, for the most part orange-yard) is located on a hill (about 30 m above sea-level), in the middle part of the western coast of the province of Kii and is laid under the circumstances of warm climate (the annual mean air­ temperature 16°C) and much rain (the annual mean precipitation about 2000 mm). The pond has an area of 7600 square meters and a depth of about 2 meters. The following 83 taxa of diatoms were enumerated from the pond as the planktonic as well as the benthic forms.. I. Melosira granulata (Ehr.) Ralfs Hust. (1930), Bacill., S. 87-88, Fig. 44.. Not common. [pI.XI, Fig. 74]. 2. Melosira italica (Ehr.) Klitz. Hust.(1930), Bacill., S. 91-92, Fig. 50.. Common. [PI. XI, Fig. 73; PI. XXVI, Fig. 157]. 3. Cyclotella Meneghinialla Klitz. Hust. (1930), Bacill., S. 100, Fig. 67.. Diameter 10.0-15.5 .urn. Striae 9-10 in 10 .urn. Common.. [PI. I, Fig. 7,8; PI. X, Fig. 66].

(2) 2. Memoirs of the Faculty of Agriculture of Kinki University No.14 (1981 ). 4. Cyclotella stelligera Cleve et Grun. Hust. (1930), Bacill., S. 100, Fig. 65. Diameter 8.7-12.0 }J.m. Striae 11-13 in 10 }J.m. Common. [PI. m, Fig. 19; PI. XI, Fig. 75; PI. XII. Fig. 82,83]. 5. Tabellaria !enestrata (Lyngb.) Kutz. Hust. (1930), Bacill., S. 122-123, Fig. 99. Length 33.7-54.4 }J.m, breadth 6.3 ·6.9 }J.m. Common. [PI. XXIII, Fig. 140]. 6. Tabellaria flocculosa (Roth) Kutz. Hust. (1930), Bacill., S. 123-124, Fig. 101. Length 28.1 }1m, breadth 6.3 J..L!T1. Uncommon. [pI. XXIII, Fig. 141]. 7. Fragilaria crotonensis Kitton Hust. (1930), BacHl., S. 137-138, Fig. 125. Length 70 }J.m, breadth 3.5 }J.m. Striae 18 in 10 }J.m. Rare. [PI. ill, Fig. 18]. 8. Synedra rumpens Kutz. vax./amilialis (Kutz) Gnm. Hust.(1930),Bacill.,S.156,Fig.176. Length 61.2-158.7 J..L!T1, breadth 5.0-8.7 J..L!T1. Striae 6-13 in I O}J.m. Not common. [PI. XVII, Fig. 103]. 9. Synedra ulna (Nitzsch) Ehr. Hust(l930),Bacill.,S. 151-154,Fig. 158,159. Length 136 }J.m, breadth 6 J..L!T1. Striae 9-10 in 10 }J.m. Common. [PI. I, Fig. I]. 10. Synedra ulna (Nitzsch) Ehr. var. amphirhynchus (Ehr.) Gnm. Hust. (1930), Bacill., S. 154, Fig. 167. Length 180 J..L!T1, breadth 4.3 }J.m. Striae 89 in 10 J..L!T1. Common. [PI. I, Fig. 2]. II. Eunotia biareo!era H.Kobayasi Kobayasi (1968), Diat. in Tokyo, p. 98, PI. 2. Fig. 18-21. De. H. Kobayasi found this diatom from two ponds, namely Tataranuma in Gumma Pref. and Sanpoji-ike in Tokyo, and noted as a new species. Valves slightly curved, linear with parallel margins and broadly capitate ends, about 130-180}J.m long, 5.5-6.5 }J.m broad in the middle. Transapical striae delicately punctate and parallel in the middle, 14-17 in lO}J.m and radiate at the ends. Puncta about 30 in 10 }J.m. Axial area narrow and with broad termi· nal areas. The present specimen has a breadth of 6}J.m in the middle part and 8 }J.m at the ends. Rare. [pI. I, Fig. 4]. 12. Eunotia flexuosa (Breb.) Kutz. Hust. (1930), Baicll., S. 186-187, Fig. 258. Length 142-150J..L!T1,breadth 5.6-6.0J..L!T1. Striae 12-15 in 10}1m.Common. [pI. I, Fig. 3;PI. XVII, Fig. 99].

(3) Ken-ichiro NEGORO The Diatom Flora of a Pond in the Experimental Farm of the Kinki University at Yuasa. 13. Eunotia flexuosa (Breb.) Klitz. var. linearis Okuno Okuno (J 951), Jap. Diatomite, p. 31 , 40, PI. 23, fig. 18. Dr. H. Okuno has mentioned this alga in the diatomaceous deposit at Yubari, Hokkai­ do. Length 70.4 pm, breadth 3 pm. Striae 19 in 10 pm. The present specimen has some­ what denser striae than the original type specimen. [PI. XIX, Fig. 110]. 14. Eunotia monodon Ehr. var. tropica Hust. Hust. (i 938), Diat. von Java etc., S. 171, TaL XI, Fig. 3-6. This species was originally reported by Fr. Hustedt (i 927) from Lake Aoki as an independent species named Eunotia tropica. Skvortzow (1936) noted also this species from Lake Kizaki. Kobayasi and Haraguchi (i 968) mentioned the occurrence of this diatom from the pond Sanpoji-ike in Tokyo. Length 65 .8-ca. 180 JJffi, breadth 15 pm. Striae lOin 10 JJffi. Rare. [pI. D, Fig. 9,10, II]. The diatom is widely distributed in Middle- and West-Java as well as in Middle- and. North Sumatra (Fr. Hustedt, 1938).. 15. Eunotia robusta Ralfs Hust. (1936), Bacill., S. 171-173, Fig. 203.. Length 95.8 pm., breadth 23.3 pm. Striae 7-8 in 10 JJffi. Rare. [pI.. m, Fig. 16, 17]. 16. Eunotia sudetica (O.MiiU.) Hust. var. bidens Hust. Hust. (1930), Bacill., S. 182, Fig. 243. Length 31.3 pm, breadth 6 pm. Striae 16-17 in 10 pm. Common. [PI. II, Fig. 12, 13 J The striae of the present specimen are somewhat denser than that of the type speci­ men.. 17. Eunotia sudetica (O.MiiU.) Hust. var. incisa (Mayer) A. Cleve-Euler. A. Cleve-Euler (1953), Dial. von Schwed. u. Finnl.II, S. III, Fig. 447 h-k.. Length 26.6--75.0 pm., breadth 4.5-6.0 pm. Striae 11-15 in 10 pm. Abundant.. [PI. II, Fig. 14,15; PI X, Fig. 67,68]. 18. Eunotia sp. Valve almost straight, dorsal and ventral margins parallel. The apices of the valve slightly attenuate, rounded. Striae parallel, 14-15 in 10 pm, slightly radiate over termi­ nal nodule. Terminal nodules large, on ventral margin. Length over 100 pm, breadth 5-6 JJffi. Axial area narrow and with fairly broad terminal area. Rare. [PI. I, Fig. 5,6] 19 _ A ctinella brasiliensis Gnm. Van Heurck (1880-1885), Synop. Dial. Belg .. pI. 35, fig. 19-21; A. Schmidt (1913), Atlas diatom., pI. 292, figs. 10-19.. 3.

(4) Memoirs of the Faculty of Agriculture of Kinki University No.14 ( 1981) Length 80-140 /-1m, breadth 11-12.5 /-1m at the apical end, 7-9 /-1m in the middle part. Striae 10-15 in 10 J.1m. Common. [PI. IV, Figs. 21-25; PI. XIX, Fig. 114] Reported from Brazil, Chosen and Siberia, and only as a fossil in Southern Europe. In Japan this diatom was often found in several places, such as Lake Kizaki (Skvor· tzow, 1936), Lake Biwa (Skvortzow, 1936), Sanpoji-Pond in Tokyo (Kobayasi, 1968), Lake Kiba-gata in Kanazawa (Iwahashi, 1937), a pond in Hiroshima (Okuno, 1942), etc. As a fossil diatom, this species has been also reported from the diatomites of the fresh-water origin (Ok uno , 1952) and from the bottom deposits of some lakes, such as Lake Suwa (Ichikawa, 1954), Lake Biwa (Negoro, 1955), etc.. 20. Cocconeis placentula Ehr. var. euglypta (Ehr.) Cleve Hust. (1930), Bacill., S. 190, Fig. 261.. Length 29.2 J.1m, breadth 14.8 J.1m. Striae 21 in 10 pm. Not common.. [PI. V, Fig. 32,33]. 21. Achnanthes inflata Kiitz. Hust. (1930), Bacill., S. 209-210, Fig. 307.. Length 44.3-66.6J.1m., breadth 13.7-20.8J.1m.Striae7-11 in 10J.1m.Rare.. [pI. VI, Fig. 39-41]. 22. Achnanthes minutissima Kiitz. Hust. (1930), Bacill., S. 198, Fig. 274.. Length 9.0-18.3 J.1m, breadth 2.6 J.1m. Common.. [PI. VI, Fig. 43]. 23. Achnanthes minutissima Kiitz. var. cryptocephala Gnm. Hust. (1930), Bacill. S. 198, Fig. 275.. Length 23.3 J.1m, breadth 4.0 JJ.ITl. Rare. [PI. VI, Fig. 42]. 24. Frustulia rhomoboides (Ehr.) de Toni var. saxonica (Rabh.) de Toni fo. undulata Hust. Hust. (1930), Bacill., S. 221. Length 50.0 pm. breadth 11.7 J.1m. Rare. [PI XU, Fig. 76] 25. Gyrosigma Kiitzingii (Grun.) Cleve Hust. (1930), Bacill., S. 224, Fig. 333. Length 112 J.1m, breadth 14 J.1m. Transapical sriae 19-20 in 10 JJ.ITl, longitudinal striae 27 in 10 J.1m. Common. [PI. XVill, Fig. 105-107] 26. Caloneis silicula (Ehr.) Cleve Hust. (1930), Bacil1., S. 236-239, Fig. 362. Length 42.5-731 J.1m, breadth 10.0-15.0 J.1m. Striae 19-20 in 10 J.1m. Common. [p1. XU, Fig. 77-79] 27. Caloneis ventricosa (Ehr.) Meist. Patrick & Reimer (1966), Diat. of the United States. p. 583, PI. 54, Fig. 3.. Length 40.0-51.6 J.1m, breadth 10-11.6 J.1m. Striae 14-15 in 10 J.1m. Rare.. [pI. XII, Fig. 80, 81].

(5) Ken-ichiro NEGORO The Diatom Flora of a Pond in the Experimental Farm of the Kinki University at Yuasa. 28. Neidium affine (Ehr.) Cleve. var. amphirhynchus (Ehr.) Cleve. Hus!. (1930), Bacill., S. 243, Fig. 377.. Length 40 gm, breadth 10 gm. Striae 23-24 in 10 JJ.ITI. Rare.. [PI. XIV, Fig. 89]. 29. Neidium amphirhynchus (Ehr.) Pfitzer'. var. majus (cleve) Meister. Meister (1912), Kieselalg. d. Schweiz, S. 107, Taf. XIV, Fig. 16.. Length 53.1 -83.0 J,lm, breadth 13.1-20.0 J,lm. Striae 18-20 in 10 J,lm. Common. [PI. vrr, Fig. 49; PI. XVII, Fig. 100, 101]. 30. Neidium gracile Hustedt Hus!. (1938), Dial. von Java etc., S. 406, Taf. XVI, Fig. 8 u. 9.. Length 50.0 J,lm, breadth 11.3 J,lm. Striae 22-23 in 10 J,lm. Rare.. [PI. XIV, Fig. 87,88; PI. XIX, Fig. 116]. Distributed in Westjava and Sumatra. This species is quite similar to Neidium amphirhynchus (Ehr.) Pfitzer var. undulata (Grun.) Meister, but it differs in its denser striae.. 31. Neidium iridis (Ehr.) Cleve Hust. (J 930), Bacill., S. 245, Fig. 379.. Length 60-108 J,lm, breadth 20-27 JJ.ITI. Striae 18 in 10 gm. Common.. [PI. xm, Fig. 84; PI. xxvrr, Fig. 164]. 32. Neidium iridis (Ehr.) Cleve. var. amphigomphus (Ehr.) van Heurck. Hust. (1930), Bacill., S. 245, Fig. 382.. Length 35 J,lm, breadth 27 JJ.ITI. Not common. [PI. XV, Fig. 94]. 33. Neidium iridis (Ehr.) Cleve. var. subampliatum (Grun.) A. Cleve. A. Cleve-Euler (1955), Dial. Schw. u. Finn!., IV, S. 120, Fig. I 174f. Length 88.6-190.0 J,lm, breadth 153-28.5 J,lm. Striae 20-21 in 10 JJ.ITI. Common. [PI. xm. Fig. 85, 86] Striae of this specimen are denser than that of the typical variety.. This diatom has been reported by H. Kobayasi (1968) from some ponds in Tokyo.. 34. Neidium produetum (W. Smith) Cleve Hust. (1930), Bacill., S. 245-246, Fig. 383.. Length 61.2 J,lm, breadth 15.6 J,lm. Rare. (pI. xvm, Fig. 109]. 35. Stauroneis nobilis Schum. Hus!. (1959), Kieselalg., 2. Teil, Lief. 6, S. 778-780, Fig. 1125b; Patrick & Reimer (1966). Dial. of the United States, p. 370, PI. 31, Fig. 2. Length 114-116 JJ.ITI, breadth 25-26 JJ.ITI. Striae 16-18 in 10 JJ.ITI. Rare.. [PI. XV, Fig. 93; PI. XVI, Fig. 95,96]. 5.

(6) 6. Memoirs of the Faculty of Agriculture of Kinki University No.14 ( 1981). 36. Stauroneis phoenicenteron Ehr. Hust. (1930), Bacill., S. 255-256, Fig. 404.. Length 66-184,um, breadth 17-37.51JITl. Striae 14-18 in 10 1JITl. Common.. [PI. XV, Fig. 91,92; PI. XIX, Fig.115]. 37. Stauroneis Schoroderi Hust. ? Hust (1959), Kieselalg., 2. Teil, Lief. 6, S. 775, Fig, 1122.. Length 104.31JITl, breadth 15.6,urn. Rare.. [PI. XVI] Fig. 97]. 38. Stauroneis sp. Length 83.3 ,urn, breadth 16.6 ,urn. The ends of valve long, rostrate·capitated. Rare. [PI. xxvn, Fig. 165] 39. Anomoeneis gomphonemacea (Grun.) H. Kobayasi Kobayasi & Haraguchi (1969), Diat. in Kawagoe, pp. 31-32, Figs. 24-29. Syn. Navicula gomphonemacea Grun., Anomoeneis exilis (Klitz.) CI. var. gomphone­ macea Grun. Length 28.2-47.2 ,urn, breadth 5.5-7.6 ,urn. Not rare. [PI. XXVI], Figs. 161, 162] This diatom occurs abundantly in some springs in the vicinity of Kawagoe (Kobayasi & Haraguchi, 1969). 40. Navicula cryptocephala Kiitz. Hust. (1930), Bacill., S. 295, Fig. 496.. Length 36.6 ,urn, breadth 7 ,urn. Striae 16 in 10 1JITl. Rare. [PI.. vm, Fig. 53]. 41. Navicula cuspidata Kiitz. var. ambigua (Ehr.) Oeve Hust. (1930), Bacill., S. 268. Fig. 434.. Length 78.1 ,urn, breadth 20.6 ,urn. Rare. [pI. vm, Fig. 55]. 42. Navicula pupula Kiitz. var.capitata Hust. Hust. (1930), S. 281, Fig. 467c.. Length 21.0-36.0 ,urn, breadth 6.5-9.2 ,urn. Common.. [PI. XIV, Fig. 90; PI. xxvn, Fig. 163]. 43. Pinnularia acrospheria Breb. Hust. (1930), Bacill., S. 330, Fig. 610; Hust. (1938), Diat. von Java etc., S. 399, Taf. xxn, Fig. 3 Length 80.6 ,urn, breadth 14.3 ,urn. Striae lOin 10 1JITl. Rare.. [pI. VI, Fig. 38]. 44. Pinnularia acrosphaeria Breb. var.laevis Cleve Syn. Pit/nularia acrospheria Breb. var. hyalina H. Kobayasi Okuno (1952), Jap. Diatomite, p. 43, PI. 24, Figs. 3 and 4; Kobayasi & Ando (1977), DiaL in Saitarna.Ponds, pp. 244-245, PI. 4, Figs. 29 and 30. Length 66.3-121.6 ,urn. breadth 12.1-20 .41JITl. Striae 7-lOin 10 ,urn. Abundant. [PI. VI, Figs. 34-37; PI. XIX, Fig. 113].

(7) Ken-ichiro NEGOKO The Diatom Flora of a Pond in the Experimental Farm of the Kinki University at Yuasa. 45. Pillllularia Braunii (Grun.) Cleve vaL amphicephala (A. Mayer) Hust. Hust. (1930). Bacill., S. 319, Fig. 578. Length 37.2-56.8 J.(m. breadth 8-12 J.(m. Striae 8-12 in 10 J.(ITI. Not rare.. [PI. Vill, Fig. 54]. 46. Pinnularia brevicostara Cleve var. sumatrana Hust. Hust. (1938), Diat. von Java etc., S. 398, TaL XXIJ. Figs. 4-6. Length 102.5 J.(m, breadth 20.0 J.lITI. (L:B=5: J). Striae 8 in 10 J.(m. Rare. [P!. X, Figs. 62 63 J This diatom is one of the typical forms in Sumatra-swamps. In Japan, it was found by H. Kobayasi (1960,1968,1969) from some waters in the vicinity of Tokyo. 47. Pit/nularia britannica (van Heurck) A. Cleve A. Cleve-Euler (1955), Diat. Schw. u. Finn!., IV, S. 73, Fig. 1102.. Length 70 J.(m, breadth 14 J.lITI. Striae 8-9 in 10 J.(m. Rare.. [P!. IX, Figs. 56-57J New to Japan.. 48. Pinnularia gibba Ehr. Hust. (1930), Bacill., S. 327. Fig. 600.. Length 115-130 J.(m, breadth 1--16 J.(m. Striae 8-9 in 10 J.(m. Common.. (pI. V, Figs. 26,27]. 49. Pinnularia gibba Ehr. fo_ subundulata Mayer Hust. (1930), Bacill., S. 327, Fig. 601. Length 98-145 J.(m, breadth 15-17 J.(m, Striae 7-11 in 10 J.(m. Abundant. [PI. Vll, Figs. 46, 47 J The present specimens agree with the photomicrograph (PI. 6, Fig: 84)of H. Kobayasi (1968), which has been mis-identified by the author as Pimzularia graciloides Hust., because its raphe is filamentous, nto complex. The raphe of Pimllliaria gracilaides is complex, distinctly twisted [Hustedt (1936), Diat. d. Tobasees, S. 159, TaL 2. Fig. 13] . 50. Pinnularia gibba Ehr. var. linearis Hust. Hust. (1930), Bacill., S. 327, Fig. 604.. Length 90 J.(m, breadth 12 j.JJl1. Striae 8-9 in lO J.(m. Rare.. [PI. V, Fig. 30]. 51. Pinnularia gibba Ehr. var. nipponica Skv. Skvortzow (1936), Dial. from Lake Kizaki, p. 42, PI. 7, Fig. 10.. Length 86 J.(m, breadth 12 j.JJl1. Striae 9-10 in 10 J.(m. Rare.. [PI. V, Figs. 28, 29]. 52. Pinnularia Hartleyana Grev. var. notata H. Kobayasi Kobayasi (1968), Dial. in Tokyo, p. 112, PI. 7, Figs. 98-100. Length IOO-142J.(m,breadth 16--23 J.(m. Striae9-10 in 10J.(m.Rare. (pI. Vll, Fig.s 44,45] This diatom has been reported from the Sanpoji pond in Tokyo and Lake Tatara in Gumma Pref.. i.

(8) Memoirs of the Faculty of Agriculture of Kinki University NO.14 (1981). 53. Pinnularia interrupta W. Smith. Hust (1930), Baicll., S. 317-318, Fig. 573.. Length 51.6 J.lm, breadth 11 J.lffi. Striae lOin 10 J.lm. Rare. [PI. X, Figs. 64, 65]. 54. Pinnularia leptosomoidea A. Cleve-Euler? A.Cleve-Euler (1955), Dial. Schw. u. Finnl., IV, S. 21, Fig. 1006.. Length 68.3 J.lffi, breadth 12.5 J.lm. Striae 8 in 10 J.lm. Rare.. [pI. XXVI, Figs. 155,156]. 55. Pinnularia maior(Kiitz.) Cleve Hust (1930), BacHI., S. 311, Fig. 614.. Length 110-160 J.lffi, breadth 22-26.6 J.lm. Striae 7-8 in 10 J.lm. Common.. [PI. vm, Figs. 50-52]. 5? Pinnularia subcapitata Greg. var. paucistriata Gron. A.Cleve-Euler (1966), Dial. Schw. u Finnl., IV, S. 65, Fig. 1030B. Length 25.0-26.6 J.lm, breadth 5.2-5.6 J.lID. Striae 12-16 in 10 J.lm. Rare. [pI. ill, Fig. 20; PI. IX, Figs. 60,61]. 57. Pinnularia viridis (Nitzsch) Ehr. Hust. (1930), BacHI., S. 334-335, Fig. 617a. Length 94.3-145.0 J.lID, breadth 20.0-31.6,urn. Striae 6-10 in 10 J.lm. Common. [pI. XI, Figs. 69, 70] 58. Pinnularia viridis (Nitzsch) Ehr. var. fallax Cleve Hust (1930), Baicll., S. 335; A.Cleve-Euler (1955), Dial. Schw. u. Finnl., S. 74, Fig. I I03h, i. Length 84.3 J.lID, breadth 19.3 J.lm. Striae 8-9 in 10 J.lm. Rare. [PI. XI, Fig. 71] 59. Pinnularia viridis (Nitzsch) Ehr. var. sudetica (Hilse) Hust. Hust (1930), BaciU., S. 335, Fig. 617b.. Length 78.7 J.lm, breadth 13.1 J.lID. Striae 10 in 10,urn. Rare. [PI. XI, Fig. 72]. 60. Pinnularia sp. Length 110 J.lID, breadth 20 J.lm. Striae 10 in 1O,urn. Rare. [pI. VD, Fig. 48] The present specimen is very similar to Pinnularia platycephala (Ehr.) Cleve [Hust. (1930), Bacill., S. 324, Fig. 593] in its shape, but differs in its terminal fissures (Bending in the same direction) and its coarser striae.. 61. Amphora ovalis Klitz. var. libyca (Ehr.) Cleve A. Schmidt (1875), Atl. Dial., PI. 26, Fig. 105; Hust. (1930), BacilJ., S. 342; Skvortzow (1936), Dial. from Lake Kizaki, p,46, P1.3, Fig. 17.. Length 31.6-37.6 J.lm, breadth 7.0-9.3 J.lm. Striae 13-14 in 10 J.lm. Rare.. [PI. xxm, Figs. 142,143]. This taxon is widely distributed and often found in Japan in a living state as well as in fossils..

(9) Ken-iehiro. NI'.GORO. The Diatom Flora of a Pond in the Experimental Farm of the Kinki University at Yuasa. 62. Cymbella aJjlllls Kiitz. Hus!. (J (30), Baeill., S. 362, Fig. 671 .. Length 34.5,um,breadth 10.6,um.Striae 12-13in 10,um.Rare.. [PI. xvm, Fig. lOb J. 63. Cymbella aspera (Ehr.) Cleve Hust. (1930), Bacill .. S. 365, Fig. 680.. Length 138 ,urn, breadth 27 ,urn. Striae 8 in 10 ,urn. Rare.. [P!. XVU, Fig. 1021. 64. Cymbdla cuspidata Kiitz. Husl. (1930), Bacill., S. 357, Fig. 650.. Length 54 ,urn, breadth 22 ,urn. Striae 9 in 10 ,urn. Common.. [P!. XXI, Figs. 125, 126]. 65. Cymbella gracilis (Rabh.) Cleve. Hus!. (1930), S. 359, Fig. 663. Length 52.5-74.4 ,urn, breadth 8.7-12.8,urn. Striae 9-12 in 10 ,urn. Rare. [PI. XX, Figs. 120-~122]. 66. Cymbella heteropleura Ehr. var. marginata A.Cleve-Euler A.C1eve-Euler (1955), Dial. Schw. u. Finnl., IV, S. I SO, Fig. I 220i; Kobayashi (1968), Dial. in Tokyo, p. 114, PI. 8, Fig. 113. Length 132 ,urn, breadth 38 ,urn. Striae 6-7 in 10 ,urn. Common.. [PI. XXI, Fig. 127J. 67. Cymbella naviculij(Jrmis Auerswald Hust (1930), S. 358, Fig. 653. Length 31.0-38.3 ,urn, breadth 8.6-9.6 ,urn. Striae 9-10 in 10,um in the middle part of the dorsal side and 14~· I 5 in 10 ,urn at the ends of the dorsal side and on the vent ral side. Common. [PI. XX, Figs. 123,124]. 68. Cymbella turgida (Gregory) Cleve Hus!. (1930), S. 358, Fig. 660. Length 22.5-51.6 ,urn, breadth 8.1-13.3 ,urn. Striae 7-8 in 10 ,urn. Common. [PI. XIX, Fig. III, PI. XX, Figs. 117,118]. 69. Cymbella ventrieusa Kiitz. Husl. (l930), Bacill., S. 359, Fig. 661.. Length 32.5 ,urn, breadth 11.2 ,urn. Striae 10-11 in 10 ,urn. Rare.. [PI. XX, Fig. 119]. 70. Gomphoeymbella aneyli (Cleve) Hust. Husl. (1930), Bacill., S. 366, Fig. 681. Length 32-44 ,urn, breadth 5.5-8.0 ,urn. Striae 12-15 in 10 ,urn. Not rare. [PI. xxm, Figs. 133-139] This species is found in the alpine lakes. It is similar to Gomphoeymbella obliqua (Crun.) O. MUlier in its shape, but differs in its smaller breadth of valve. New to Japan.. \).

(10) 10. Memoirs of the Faculty of Agriculture of Kinki University No.14 (1981). 71. Gomphonema acuminatum Ehr. val. coronata (Ehr.) W. Smith Hust. (1930), Bacill., S. 370, Fig. 684. Length 57 -72 J.LIT1, breadth 11-14 J.LIT1. Striae 8-10 in 10 /lm. Common. [PI. xxn, Fig. 129] 72. Gomphonema acuminatum Ehr. var. tu"is (Ehr.) Cleve Hust. (1930), Baicll., S. 372, Fig. 687. Length 65-68 J.LIT1, breadth 12-16 J.LIT1. Striae 8-9 in 10 /lm. Common. [pI. xxn, Fig. 130] 73. Gomphonema angustatum (Kiitz.) Rabh. var. producta Grun.. Hust. (1930), Bacill., S. 373, Fig. 693.. Length 33 J.LIT1, breadth 9 J.LIT1. Striae 10-11 in 10 ,urn. Rare.. [PI. XXV, Fig. 150]. 74. Gomphonema augur Ehr. var. Gautieri van Heurck Hust. (1930), BacUI., S. 372, Fig. 689. Length 57.6-65.0 /lm, breadth 15.3-17.5 /lm. Striae 10-11 in 10 /lm. Common. [pI. xxn, Figs. 131, 132] 75. Comphonema subtile Ehr. Hust. (1930), Baicll., S. 376-377, Fig. 709. Length 47.0-63.0 /lm, breadth 8-9 /lm. Striae 10-13 in 10 /lm. Common. [PI. xxn, Fig. 128] 76. Nitzschia palea (Kiitz.) W. Smith Hust (1930), Bacill., S. 416, Fig. 801. Length 29-55 J.LIT1, breadth 3-5 J.LIT1. Costae 11-12 in 10 /lm. Not rare. [PI. V, Fig. 31] 77. Nitzschia recta Hantzsch Hust. (1930), Baicll., S. 411, Fig. 785.. Length 84-87 J.LIT1, breadth 9-10 ,urn. Costae 6-7 in 10 J.LIT1. Rare.. [PI. xvn, Fig. 98]. 78. Cymatopleura solea (Breb.) W. Smith Hust. (1930), BacHI., S. 425-426, Fig. 823a.. Length 162 /lm , breadth 21 ,urn. Costae 6-7 in 10 J.LIT1. Ra re.. [PI. xvm, Fig. 104]. 79. Surirella angustata Kiitz. Hust. (1930), BacUI., S. 435-436, Fig. 844-845. Length 34-62 J.LIT1, breadth 7-14 J.LIT1. Costate 6-7 in 10 pm. Common. [PI. XXV, Figs. 148,149] 80. Surirella Pantocseckii Meister Meister (1914), Bacill. Japans, S. 230-231, PI. 8, Figs. 14, 15; Skvortzow (1936), Dial. from Lake Kizaki, pp. 62-63 PI. 6, Fig. 6..

(11) Kcn-ichiro NEGORO The Diatom Flora of a Pond in the Experimental Farm of the Kinki University at Yuasa. II. Length 120 pm, breadth 10 pm in the middle part, 13 14 pm at the ends. Costae 5-6 in IOpm.Striae20-21 in 10pm.Rare. [PI. XXVII, Fig. 158-160] This curious, dumbbell-like diatom was first described by Fr. Meister (I 914) from a pond in the Botanical Garden of Tokyo University. Hitherto, it is further reported in Japan from some waters, such as Lake Kizaki (Sk v. 1936), Lake Biwa (Skv. 1936), Lake Tataranuma and Lake Jonuma in Gumma Prefecture (Kobayasi, 1968). It is also known from Amur and Sungari Rivers, Manchuria (Skv. 1936).. 81. Surirel/a tenera Gregory Hust. (1930), BaciU., S. 438-439, Fig. 853.. Length 170-256 pm, breadth 40.8-47.5 pm. Costae 2 in 10 pm. Common.. [pI. XXIV, Figs. 144,145]. 82. Surirel/a tenera Gregory var. nen'osa A. Schmidt Hust. (1930), Bacill., S. 439, Fig. 854,855. Length 106-183 pm, breadth 32.5-57.0 pm. Costate 1-2 in 10 pm. Common. [PI. XXIV, Fig 146; PI. XXV, Fig. 147] 83. Surirel/a Terryana Ward Hust. (1912), Schmidt's Atl. Diat., Tafel 280, Fig. 6-8; Sk vortzow (1936), Diat. from Lake Kizaki, pp. 61-62, PI. 16, Fig. II. Length 80-150 pm, breadth 20-30 pm. Costate 2-3 in 10 pm. Striae 11-12 in 10 pm. Common. [PI. XXVI, Figs. 151-154] This taxon is known from North and South America. In Japan, it is reported from Lake Aoki mustedt, 1927), Lake Kizaki (Skvortzow, 1936), and Lake Ikeda (Skvor­ tzow, 1937).. The above mentioned 83 taxa belong to the following 24 genera: Melosira (2),. Cye/otella (2), Tabellan'a (2) Fragilaria (I), Synedra (3), Eunotia (8), Actinella (I),. Cocconeis (I), Achnanthes (3), Frustulia (I), Gyrosigma (1), Caloneis (2), Neidium (7),. Stauroneis (4), Anomoeoneis (1), Navicula (3), Pinnularia (18), Amphora (I), Cymbella (8),. Gomphocymbel/a (I), Gomphonema (5), Nitzschia (2), Cymatopleura (1), Surirella (5). The. number in parenthesis means the number of taxa being contained in each genus. The genera,. which have comparatively many taxa, are Pinnularia, EUllotia, Cymbella, Neidium, Gompho­ nema, and Surirel/a.. The fact that the diatom flora of this pond is particularly rich in taxa of Pinnularia and. Eunotia indicates perhaps the remains of the past oligotrophic nature in this pond which is. ordinary shown in bogs or high-moors. By the culture of fish the pond may become hereafter. more and more eutrophic and according its phenomenon the diatom flora will be gradually. changed toward the eutrophic nature. Especially the planktonic genera, such as Melosira,. Cye/otel/a, Fragilaria etc., may increase in number of taxa as well as in polulation density.. While there are several excellent studies by Prof. H. Kobayasi and his scholars on the dia­. tom flora of the ponds in the Kwanto district, none of the study is hitherto in the Kinki. district. This study is perhaps the first contribution in this theme..

(12) 12. Memoirs of the Faculty of Agriculture of Kinki University NO.14 (1981). Literature I) Ando, K., K. Haraguchi and H. Kobayasi (1971): Diatoms from Senjogaike, an irri· gation pond, Saitama Pref. Bull. Chichibu Museum of Nat. Hisl., No. 16, pp.57-79. (In Japanese, with English summary). 2) Ando, K., and H. Kobay~si (1975): Dia· toms from Hozoji-numa, Jigoin-numa and Nakashinden-numa Ponds in Hanyu City, Saitama Prefecture. Bull. Tokyo Gakugei Univ., Ser. IV. Vol. 27, pp. 178-204. 3) Cleve-Euler, A. (1951-1955): Die Dia­ tomeen von Schweden und FinnJand. Teil I (1951), Teil II (1953), Teil m (1953), Teil IV (1955), Teil V (1952). Stockholm. 4) Hustedt, Fr. (1926): Bacillariales aus dem Aokikosee in Japan. Arch. f. Hydrobiol., Bd. 18,S. 155-172. 5) Hustedt, Fr. (1930): Bacil1ariophyta (Dia­ tomeae). Pascher's Siisswasser- Flora Mitteleuropas, Heft 10, Jena. 6) Hustedt, Fr. (1930-1966): Die Kieselalgen Deutschlands, Oesterreichs und der Schweiz. Rabenhorst's Kryptogamen·Flora, Bd. VD, 1. Teil (1930),2. Teil (1959), 3. Teit(l966). Leipzig u. Koenigstein. 7) Hustedt, Fr. (1936): Die fossile Diatomeen­ flora des Tobasees. Arch. f. Hydrobiol., Suppl.·Bd. 14, S. 143-192. 8) Hustedt, Fr. (1938-1939): Systematische und oklogische Untersuchungen iiber die Diatomeen-Flora von Java, Bali und Sumatra nach der Material der Deutschen Limnologischen Sunda-Expedition. Arch. f. Hydrobiol., Suppl.-Bd. 15 u. 16. 9) Ichikawa, W. (1954): On the fossil diatoms found in the deposit of Lake Suwa. Jour. Jap. Assoc. Petroleum Technologists, Vol. 19. pp. 168-175. (In Japanese). 10) Iwahashi, Y. (1936): Studies on fresh­ water diatoms of Western Japan. I. Jour. Jap. Bot., Vol. 12, No.6, pp. 390-401. 11) Iwahashi, Y. (1937): Studies on fresh­ water diatoms of Western Japan. II. Jour. Jap. Bot., Vol. 13, No.4, pp. 252-261. 12) Kobayasi, H. (1960): Diatoms in Nagatoro Park. Bull. Chichibu Mus. Nat. Hisl., No. 10, pp.67-76. 13) Kobayasi, H. (1968): A survey of the fresh. water diatoms in the vicinity of Tokyo. Jap. Jour. Bot., Vol. 20, No.1, pp. 93-122, pis. 1-8. 14) Kobayasi, H. and F. Yamashita (1969): Diatom-vegetation of Sanpoji-ike Bog. Jap. Jour. Limnol., Vol. 30, pp. 98-107. (In Japanese, with English summary). 15) Kobayasi, H. and K. Haraguchi (1969): Diatom-association from spring pools in the vicinity of Kawagoe City, Saitama Pref. Bull. Chichibu Mus. Nat. Hist., No. 15, pp. 27-54. (In Japanese, with English sum­ mary). 16) Kobayasi, H. and K. Ando (1977): Dia­ toms from irrigation ponds in Musashi­ kyuryo-shinrin Park, Saitama Prefecture. Bull. Tokyo Gakugei Univ., Ser. IV, Vol. 29, pp. 231-263. 17) Meister, Fr. (1912): Die Kieselalgen der Schweiz. Bern. 18) Meister, Fr. (1914): Beitrage zur Bacillaria· ceenflora Japans. II. Arch. f. Hydrobiol., Bd. 9, S. 226-232. 19) Negoro, K. (1955): Diatom shells in the bottom deposits of Sone-numa, a lagoon on the east coast of Lake Biwa. Jap. Jour. Limnol., Vol. 17, pp.108-111. (1n Japa­ nese, with English summary). 20) Okuno, H. (1942): Notes on diatoms of Japan. II. Jour. Sci. Hiroshima Univ., Ser. B, Div. 2, Vol. 5, pp. 1--43. 21) Okuno, H. (1952): Atlas of fossil diatoms from Japanese diatomite deposits. Kyoto. 22) Patrick, R. and Ch. W. Reimer (1966): The diatoms of the United States. Vol. 1. Philadelphia. 23) Patrick, R. and Ch. W. Reimer (1975): The diatoms of the United States. Vol. 2, Pl. 1. Philadelphia. 24) Schmidt, A. (1885-1933): Atlas der Dia­ tomaceenkunde. Tafel 1-384. 25) Skvortzow, B.W. (1936): Diatoms from Kizaki Lake, Honshu Island, Nippon. Philip. Jour. Sci., Vol. 61, pp. 9-73. 26) Skvortzow, B.W. (I936): Diatoms from Biwa Lake, Honshu Island, Nippon. Philip. Jour. Sci., Vol. 61, pp. 253-296. 27) Van Heurck, H.F. (l880~1885): Synopsis der Diatomees de Belgique. Atlas et texte. Anvers..

(13) Ken-ichiro :-.I1,GOf{O The Diatom Flora of a Pond in the Experimental Farm of the Kinki University at Yuasa. D1ustrations Plate I. Fig. 1. Synedra ullla X 1500. Fig. 2. SYlledra IIll1a var. alllphirllyllc!lIJs X 3000. Fig. 3. t:unotia fle:wosa x 3000. Fig.4. t:lll1otia biareo[era X3000. Fig. 5,6. Ellnotia sp. X 2500. Fig. 7, 8. Cye/otella lI-feneKhinialla X 3UUO. Plate D Fig.9. Fig. 10, Fig. 12. Fig. 13. Fig. 14,. Eunotia lIIonodon var, tropica X3000. 11. f:ullotia monodon var. tropica X 1200. El1l1otia sude.tica var. bidens X3000. Eunotia sudetica var. bidells X2500. 15. El1notia sudetica var. illcisa X 3000. Plate. m. Fig. Fig. Fig. Fig. Fig.. 45. 46. 47. 48. 49.. PirlllulariJJ Hartleyana var. notata X 1200. PirlllulariJJ gibba fo. subundulata X 1600. Pimwlaria gibba ro. subundulota X 1000. Pinllularia sp. X 1600. Neidillrn amphirhynchus var. maius X 1200. Plate. Fig. Fig. Fig. Fig. Fig.. 50, 52. 53. 54. 55.. I:i. vm. 51. Pinnularia maior X 1000. Pinllularia maior X500. Navicula cryptocephala X 3000. Pinnularia Braunii var. amphicephala X2500. Navicula cuspidata var. ambigua X 1600. Plate IX. Fig. Fig. Fig. Fig.. 56. Pinnularia britannica X 1200. 57. 58. Pinnularia britanllica X 1600. 59. Pinnularia britannica X2000. 61), 61. Pinnularia subcapitata var. paucistrillta. X4000 Fig. Fig. Fig. Fig. Fig.. 16. 17. 18. 19. 20.. EWlOtia robl1sta X 1200. Eunotia robl1sta X3000. Fragilaria crotOllensis X2500. Cye/otella stelligera X4000. Pimwlaria subcapitata var. paucistriata X300. Plate IV. Fig. 21, 22. Actinella brasiliensis X3000. Fig. 23, 24. A ctinella brasiliensis Xl 000. Fig. 25. A ctillella brasiliensis X2000. Plate V. Fig. Fig. Fig. Fig. Fig. Fig. Fig.. 26. 27. 28. 29. 30. 31. 32,. Pillllularia gibba X 1400. Pinnularia gibba X 1500. Pinnuloria gibba var. nipponica X 12110. Pinllularia gibba var.nipponica X 1600. Pinnularia gibba var. linearis X I 200. Nitzschia palea X3000. 33. Cocconeis placentliia var. el1glypta X2500. Plate VI. Fig. Fig. Fig. Fig. Fig. Fig. Fig.. 34.35. PinnulariJJ acrospheria var.laellis X 1200. 36. 37. PinnulariJJ acrospheria var.lae~'is X 1900. 38. Pinllularia acrospheria X 1600. 39. Achnanthes inflata X 1200. 40. A chnanthes inflata X 1900. 41. AcJlIIanthes inflata X 1200. 42. Achnanthes millutissima var. cryptocephala. x3000 Fig. 43. AcJrnanthes minlltissimo x3000 Plate VO Fig. 44. PiwlLllaria Hartleyana var. lIotata X 1600. Plate X. Pinnularia brevicostata var. sumatrana x1600. Fig. 64. 65. Pinnularill interrupta X2500. Fig. 66. Cye/otella Meneghinillna X3000. Fig. 67,68. Eunotia sudetica var. incisa X 1600. Fig. 62. 63.. Plate XI. Fig. 69. 70. PinnulariJJ viridis X 1600. Fig. 71. Pinnularia viridis var. tal/ax X 1600. Fig. 72. Pillnularia viridis var. sudetica X 1600. Fig. 73. Melosira italica X2500. Fig. 74. Melosira granulata X3000. Fig. 75. Cye/orella srelligera X2500. Plate. xn. Fig. 76. Frustulia Fig. Fig. Fig. Fig. Fig. Fig.. rhomoboides var. undulara X3000. 77. Calolleis silicula X3000. 78. 79. Caloneis silicula X 1600. 80. Caloneis venrricosa X 1200. 81. Caloneis ~'entircosa X3000. 82. Cye/orella stelligera X4000. 83. Cye/otella stelligera X 3000. Plate. saxonica. xm. Fig. 84. Neidium iridis X2500. Fig. 85. Neidium iridis var. subampliarum X 3000. Fig. 86. Neidium iridis var. subampliatum X 1000. Plate XlV Fig. 87, 88. Neidium gracile X3000. fo..

(14) Ii. Memoirs of the Faculty of Agriculture of Kinki University NO.14 (1981). Fig. 89. /I/eidium affilll! var. amphirhyncJws X4000 Fig. 90. Val'icula pupula var. capitata X2500. Fig. 125. Cymbella cuspidata x 3000 Fig. 126. Cymbella cuspidata X 121111 Fig. 127. Cymbella heteropleura var. marginata. xI200. Plate XV Fig. Fig. Fig. Fig.. 91. 92. 93. 94.. Stauroneis phoellicemeroll X 1000 Stauroneis plroenicellteroll X 1600 Stauroneis lIobilis X 1200 fVeidium iridis var. amphigomphus X 1000. Plate. xxn. Fig. 128. Gompholll'ma subtile X3000 Fig. 129. Gomphonema acumillatum var. coronata. x2500 Plate XVI. Fig. 130. Gomphonema acumillatum var. turris. X 1600 Fig. 95, 96. Staurolleis lIobilis X2500. Fig. 131. Gomphonema a[lp;!lr var. Gautieri X 1600 Fig. 132. Comphollema augur var. Gautieri X3000. Plate XVD Plate Fig. 97. Stauroneis Schroderi? X 1600 Fig. 98. itzschia recta X 1600 Fig.99 EUllotia flexuosa X 1000 Fig. 100, 101. Neidium amphirhynchus \'ar. majus. XI600. Fig. Fig. Fig. Fig.. 133-139. Gomphocymbella ancyli X3000 140. Tabellaria fenestrata X 1600 141. Tabellaria flocculosa X 1600 142, 143. Amphora Ollalis var. libyca X 3000. Fig. 102. Cymbella aspera X 1600 Fig. 103. Synedra rUII/pens var.familiaris X800. Plate. xvm. Fig. 104. matopleura solea X 1200 Fig.l05,lOG. GyrosigmoKiitzil/gii 1400 Fig. 107. Gyrosigma Kiitzingii X 1400 Fig. 108. Cymbella affil/is 1800 Fig. 109. Seidium productum X 1600. Plate XIX Fig. 110. Fig.111. Fig. 112. Fig. 113. Fig. 114. Fig. 115. Fig. 116.. EUllotia flexuosa var. lil/earis X2500 mbella turgida X 1600 Surirella Terryal/a X 800 Pil/nularia acrospherio var. laevi X 2 00 Acrillella brasiliellsis X 800 StaurOlleis phoel/icel/teroll X2500 iedium gracile X 1600. xxm. Plate XXIV Fig. 144. Surirella tenera X 1200 Fig. 145. Surirella tenera X800 Fig. 146. Surirella tenera var. nervosa X 1000. Plate XXV Fig. Fig. Fig. Fig.. Surirella tellera var.llervosa X 1600 Surirella al/gustata X 3000 Surirella al/gustata X 1200 (;omphonema allgllstatulII var. producta x3000. 147. 148. 149. 150.. Plate XXVI Fig. Fig. Fig. Fig.. 151, 153. 155, 157.. 152. Surirella Terryal/a X 1000 154. Surirella Terryana X 1600 156. Pil/I/ularia leptosomoides? X 1200. Melosira italica X 1600. Plate XX Plate XXVI Fig. Fig. Fig. Fig. Fig. Fig.. 117. Cymbella turgida X 1600 118. Cymbella turgida X 3000 119. Cymbella ventricosa X 1600 120, 121. mbella gracilis X 1600 122. rnbella gracilis X2500 123.124. ymbella lIaviculiformis X 3000. Plate XXJ. Fig. Fig. Fig. Fig. Fig. Fig.. 158. Surirella PanlOcseckii X 1000 159.160. Surirella Pantocseckii X2500 161, 162. Anomoeoneis gomphonemacea X2500 163. Navicula pupula var. capitata X 1600 164. Neidium iridis X 1200 165. Stauroneis sp. X 1200.

(15) Ken1 Chi r oNEGO7 10 TheDi ao. t m F) or. aofaPondl nteE h xper i me na tlFa r m Ort heKi nkiUni v er s i t yatYuas a. 摘. 要. 湯浅農場 池の揖三 藻 フロラ I . b L は 見場 地( l A i l L 7 76 .川1 mぞ水 沫 2m ) は. 、JtEi水 nI. 1 5. ・ f 上 i 来他一 郎 て あ る. 段I i i池 か. hl nnul a r i a や Eunol t ' G に鵬す. へ の 榔概 の 1 =め の 滞 池 で あ り1 =が 、 4 1 ・ j E rこ こ て 十 カ. 滞Y;.Eiこの 他 の 碓 描7 ロ ラに つ い て1肝. 悲( i l i朕 池や l ・ : . U附i l l 恥 こ比 らLLる よ うな ) で あ り T = J こ とを′ J ' ; す tの , で, 今 後 ナ カ タノイの 糾l ' H二よ っ て,. ' n Eを 1 ト、 .244 J は3純 軒i の純 鵜 をi L, L J J .Lt =. f ・ T . l Ni 数の. この 他 は か f J :り速 や か に 7 : 1 繁 盛 化 し, その維 機 7 ロ. y イ (熱 僻 聴 淡 水 , . J を 食I ' L 冊 垢亘と Lて B ( ( l I t l lfす る こ r J とL:I Jつ 7 =.. '. J f l . L多い 鵬 は Pi nnul o nl aH2f i 柑日 で. そ L=二次 ぐ i ,の は. Eunot l l a t8帥榔 ) と Cymbl eb (8帥町日. ラは. Me / os L ' r a1Cyc l oe tl hZ I F r a gf L a n' a. f J :どの. 相浦 ' ( ・ 作純滴 の f ・ r ・ X r L をJ m加し, 次 ・ TS に 変 化 して い く も L の と. I l l . わ4 'る..

(16)

(17)

(18)

(19)

(20)

(21)

(22)

(23)

(24)

(25)

(26)

(27)

(28)

(29)

(30)

(31)

(32)

(33)

(34)

(35)

(36)

(37)

(38)

(39)

(40)

(41)

(42)

(43)

参照

関連したドキュメント

(Construction of the strand of in- variants through enlargements (modifications ) of an idealistic filtration, and without using restriction to a hypersurface of maximal contact.) At

It is suggested by our method that most of the quadratic algebras for all St¨ ackel equivalence classes of 3D second order quantum superintegrable systems on conformally flat

This paper develops a recursion formula for the conditional moments of the area under the absolute value of Brownian bridge given the local time at 0.. The method of power series

Answering a question of de la Harpe and Bridson in the Kourovka Notebook, we build the explicit embeddings of the additive group of rational numbers Q in a finitely generated group

The main problem upon which most of the geometric topology is based is that of classifying and comparing the various supplementary structures that can be imposed on a

Then it follows immediately from a suitable version of “Hensel’s Lemma” [cf., e.g., the argument of [4], Lemma 2.1] that S may be obtained, as the notation suggests, as the m A

In our previous paper [Ban1], we explicitly calculated the p-adic polylogarithm sheaf on the projective line minus three points, and calculated its specializa- tions to the d-th

Applications of msets in Logic Programming languages is found to over- come “computational inefficiency” inherent in otherwise situation, especially in solving a sweep of