🏠
令和8年2月19日 (木)
⇒#129@グラフ;

📈 まーる

129_まーる
👨‍🏫 0
import numpy as np
import matplotlib.pyplot as plt

#fig, ax = plt.subplots(figsize=(2.9, 2.1)) 
fig, ax = plt.subplots()

#----------------
#_📈_129_まーる
xy_129 = [(81.375000,347.875000) \
, (84.125000,338.750000) \
, (87.750000,323.750000) \
, (91.875000,311.750000) \
, (92.750000,311.750000) \
, (94.750000,312.875000) \
, (97.500000,316.875000) \
, (99.250000,323.750000) \
, (102.250000,340.500000) \
, (102.250000,344.375000) \
, (101.000000,345.250000) \
, (,) \
, (93.000000,335.125000) \
, (91.750000,334.500000) \
, (94.250000,333.250000) \
, (103.250000,330.000000) \
, (,) \
, (118.500000,318.750000) \
, (118.625000,317.625000) \
, (121.125000,315.625000) \
, (130.125000,310.500000) \
, (130.125000,309.500000) \
, (128.750000,309.000000) \
, (127.625000,310.250000) \
, (127.250000,312.625000) \
, (127.500000,316.000000) \
, (129.750000,326.375000) \
, (130.250000,331.875000) \
, (130.000000,335.875000) \
, (129.000000,338.125000) \
, (127.250000,339.125000) \
, (124.875000,339.000000) \
, (122.500000,337.875000) \
, (120.250000,335.000000) \
, (,) \
, (142.500000,312.500000) \
, (150.625000,314.250000) \
, (156.875000,315.750000) \
, (166.750000,319.500000) \
, (166.625000,318.750000) \
, (,) \
, (165.125000,308.250000) \
, (164.500000,307.000000) \
, (163.500000,307.500000) \
, (156.250000,320.500000) \
, (154.500000,325.375000) \
, (154.375000,329.750000) \
, (,) \
, (180.250000,317.500000) \
, (183.250000,317.750000) \
, (,) \
, (221.625000,320.250000) \
, (217.500000,316.875000) \
, (215.250000,311.625000) \
, (215.625000,306.750000) \
, (218.625000,303.250000) \
, (224.500000,299.750000) \
, (231.125000,298.250000) \
, (237.125000,299.625000) \
, (240.500000,303.375000) \
, (240.625000,307.625000) \
, (238.125000,312.125000) \
, (234.125000,316.375000) \
, (229.625000,319.500000) \
, (226.250000,320.875000) \
, (225.000000,320.750000) \
, (,) \
, (255.000000,314.750000) \
, (251.375000,314.000000) \
, (248.125000,312.750000) \
, (246.000000,310.250000) \
, (245.625000,306.750000) \
, (247.125000,301.500000) \
, (250.750000,296.125000) \
, (255.375000,293.000000) \
, (260.000000,292.375000) \
, (264.875000,294.125000) \
, (269.750000,299.125000) \
, (272.500000,305.375000) \
, (272.250000,312.250000) \
, (269.375000,318.625000) \
, (266.000000,323.250000) \
, (262.625000,326.750000) \
, (,) \
, (286.875000,325.625000) \
, (283.625000,324.500000) \
, (280.875000,322.750000) \
, (279.250000,319.750000) \
, (279.750000,315.125000) \
, (281.875000,307.500000) \
, (285.750000,299.250000) \
, (290.750000,294.625000) \
, (295.375000,293.250000) \
, (299.250000,294.500000) \
, (301.375000,298.125000) \
, (301.000000,303.125000) \
, (297.375000,308.375000) \
, (287.500000,317.750000) \
, (,) \
, (323.750000,311.875000) \
, (321.375000,310.875000) \
, (324.000000,309.750000) \
, (329.750000,308.750000) \
, (338.250000,308.125000) \
, (,) \
, (371.000000,321.250000) \
, (366.375000,319.375000) \
, (363.625000,316.625000) \
, (363.125000,312.000000) \
, (364.750000,305.625000) \
, (368.500000,300.375000) \
, (373.125000,297.375000) \
, (377.625000,296.500000) \
, (381.125000,297.625000) \
, (383.625000,300.875000) \
, (384.375000,305.750000) \
, (382.875000,310.750000) \
, (379.750000,314.750000) \
, (374.125000,319.875000) \
, (,) \
, (408.500000,316.250000) \
, (406.875000,317.000000) \
, (404.625000,317.625000) \
, (401.375000,318.125000) \
, (398.250000,317.375000) \
, (395.875000,316.250000) \
, (395.000000,314.000000) \
, (395.875000,309.500000) \
, (398.625000,303.000000) \
, (402.625000,297.875000) \
, (407.125000,296.000000) \
, (412.250000,296.125000) \
, (417.250000,299.000000) \
, (421.250000,304.000000) \
, (422.625000,309.000000) \
, (420.750000,313.750000) \
, (416.125000,317.500000) \
, (410.625000,320.125000) \
, (405.750000,321.625000) \
, (,) \
, (438.375000,313.375000) \
, (434.750000,312.000000) \
, (431.250000,310.625000) \
, (429.375000,308.375000) \
, (429.375000,305.625000) \
, (431.500000,300.750000) \
, (435.375000,296.250000) \
, (439.625000,294.375000) \
, (443.500000,294.750000) \
, (446.625000,296.625000) \
, (448.625000,299.625000) \
, (448.375000,302.625000) \
, (445.500000,305.750000) \
, (439.875000,308.750000) \
, (431.625000,312.000000) \
, (,) \
, (135.250000,344.625000) \
, (136.125000,341.750000) \
, (136.500000,342.000000) \
, (136.875000,343.500000) \
, (136.500000,347.000000) \
, (133.125000,357.000000) \
, (130.500000,361.500000) \
, (,) \
, (126.625000,364.375000) \
, (126.000000,364.750000) \
, (128.125000,365.250000) \
, (133.750000,364.500000) \
, (,) \
, (92.500000,420.750000) \
, (91.250000,421.000000) \
, (90.500000,420.875000) \
, (90.125000,420.125000) \
, (90.625000,416.750000) \
, (96.750000,404.000000) \
, (101.000000,397.500000) \
, (102.375000,397.500000) \
, (104.000000,399.125000) \
, (109.375000,411.250000) \
, (109.750000,412.500000) \
, (109.000000,413.750000) \
, (,) \
, (91.250000,415.625000) \
, (90.500000,414.250000) \
, (93.500000,413.125000) \
, (106.375000,409.750000) \
, (114.125000,408.500000) \
, (,) \
, (125.375000,396.375000) \
, (125.500000,395.250000) \
, (128.875000,393.000000) \
, (133.500000,390.375000) \
, (139.000000,388.000000) \
, (139.250000,387.875000) \
, (,) \
, (138.250000,388.375000) \
, (137.125000,389.750000) \
, (136.375000,391.375000) \
, (135.500000,404.625000) \
, (134.000000,408.625000) \
, (131.875000,411.500000) \
, (130.250000,411.875000) \
, (129.625000,411.125000) \
, (130.750000,409.750000) \
, (133.375000,408.125000) \
, (146.000000,402.375000) \
, (,) \
, (154.875000,391.000000) \
, (154.875000,390.375000) \
, (161.000000,393.875000) \
, (172.750000,397.125000) \
, (172.625000,396.625000) \
, (172.500000,393.625000) \
, (172.000000,390.625000) \
, (170.000000,389.500000) \
, (166.250000,390.375000) \
, (159.625000,395.500000) \
, (151.500000,405.500000) \
, (,) \
, (84.375000,264.000000) \
, (83.625000,263.875000) \
, (83.500000,264.000000) \
, (88.750000,268.500000) \
, (,) \
, (81.375000,280.750000) \
, (80.250000,280.250000) \
, (79.875000,280.125000) \
, (84.750000,275.250000) \
, (89.375000,272.250000) \
, (91.000000,271.875000) \
, (91.000000,273.250000) \
, (90.000000,275.500000) \
, (86.750000,281.750000) \
, (84.875000,284.875000) \
, (81.500000,289.125000) \
, (83.875000,286.000000) \
, (89.000000,282.000000) \
, (91.125000,281.750000) \
, (92.750000,282.250000) \
, (96.375000,286.625000) \
, (98.375000,287.125000) \
, (106.250000,284.375000) \
, (,) \
, (136.125000,404.625000) \
, (136.000000,403.875000) \
, (,) \
, (125.750000,260.625000) \
, (125.500000,260.250000) \
, (124.375000,261.250000) \
, (115.250000,273.625000) \
, (,) \
, (119.125000,268.375000) \
, (119.625000,267.875000) \
, (119.750000,267.875000) \
, (120.125000,268.250000) \
, (121.375000,269.500000) \
]
z_129 = [list(t) for t in zip(*xy_129)]; x_129 = z_129[0]; y_129 = z_129[1]

ax.scatter(x_129, y_129)
ax.plot(x_129, y_129)
ax.annotate('ID=129' \
, xy=(np.mean(x_129),np.mean(y_129)) \
, xytext=(np.mean(x_129)+ np.std(y_129), np.mean(y_129) + np.std(y_129)) \
, arrowprops=dict(arrowstyle="->"))
#----------------

plt.show()
  1 python コード

A4 (210 × 297mm)あるいは少し大きめのレターサイズ(215.9 × 279.4ミリ)が一般的です。 2 カラムとすると 3.34645669291339インチ程度。 アスペクトを 4:3にすれば、2.9インチ×2.1インチぐらいの図が論文投稿の図として適切です。


サーバーサイドスクリプト

  2 まーる

サーバーサイドでラスタライズ(bmp,jpg,png)しているので、レスポンシブな表示が可能です。 サーバーサイドでダイナミックに生成している画像なので、ダウンロードだけでなく、リンクもできます。


クライアントサイドスクリプト

  3 canvas まーる

クライアントサイドでラスタライズ(bmp,jpg,png)しているので、レスポンシブな表示が可能です。 クライアントサイドでダイナミックに生成している画像なので、ダウンロードはできますが、リンクはできません。


  4 google chart APIを使った描画

  5 まーる

xmin0
xmax1000
ymin0
ymax1000
81.375000,347.875000 84.125000,338.750000 87.750000,323.750000 91.875000,311.750000 92.750000,311.750000 94.750000,312.875000 97.500000,316.875000 99.250000,323.750000 102.250000,340.500000 102.250000,344.375000 101.000000,345.250000 93.000000,335.125000 91.750000,334.500000 94.250000,333.250000 103.250000,330.000000 118.500000,318.750000 118.625000,317.625000 121.125000,315.625000 130.125000,310.500000 130.125000,309.500000 128.750000,309.000000 127.625000,310.250000 127.250000,312.625000 127.500000,316.000000 129.750000,326.375000 130.250000,331.875000 130.000000,335.875000 129.000000,338.125000 127.250000,339.125000 124.875000,339.000000 122.500000,337.875000 120.250000,335.000000 142.500000,312.500000 150.625000,314.250000 156.875000,315.750000 166.750000,319.500000 166.625000,318.750000 165.125000,308.250000 164.500000,307.000000 163.500000,307.500000 156.250000,320.500000 154.500000,325.375000 154.375000,329.750000 180.250000,317.500000 183.250000,317.750000 221.625000,320.250000 217.500000,316.875000 215.250000,311.625000 215.625000,306.750000 218.625000,303.250000 224.500000,299.750000 231.125000,298.250000 237.125000,299.625000 240.500000,303.375000 240.625000,307.625000 238.125000,312.125000 234.125000,316.375000 229.625000,319.500000 226.250000,320.875000 225.000000,320.750000 255.000000,314.750000 251.375000,314.000000 248.125000,312.750000 246.000000,310.250000 245.625000,306.750000 247.125000,301.500000 250.750000,296.125000 255.375000,293.000000 260.000000,292.375000 264.875000,294.125000 269.750000,299.125000 272.500000,305.375000 272.250000,312.250000 269.375000,318.625000 266.000000,323.250000 262.625000,326.750000 286.875000,325.625000 283.625000,324.500000 280.875000,322.750000 279.250000,319.750000 279.750000,315.125000 281.875000,307.500000 285.750000,299.250000 290.750000,294.625000 295.375000,293.250000 299.250000,294.500000 301.375000,298.125000 301.000000,303.125000 297.375000,308.375000 287.500000,317.750000 323.750000,311.875000 321.375000,310.875000 324.000000,309.750000 329.750000,308.750000 338.250000,308.125000 371.000000,321.250000 366.375000,319.375000 363.625000,316.625000 363.125000,312.000000 364.750000,305.625000 368.500000,300.375000 373.125000,297.375000 377.625000,296.500000 381.125000,297.625000 383.625000,300.875000 384.375000,305.750000 382.875000,310.750000 379.750000,314.750000 374.125000,319.875000 408.500000,316.250000 406.875000,317.000000 404.625000,317.625000 401.375000,318.125000 398.250000,317.375000 395.875000,316.250000 395.000000,314.000000 395.875000,309.500000 398.625000,303.000000 402.625000,297.875000 407.125000,296.000000 412.250000,296.125000 417.250000,299.000000 421.250000,304.000000 422.625000,309.000000 420.750000,313.750000 416.125000,317.500000 410.625000,320.125000 405.750000,321.625000 438.375000,313.375000 434.750000,312.000000 431.250000,310.625000 429.375000,308.375000 429.375000,305.625000 431.500000,300.750000 435.375000,296.250000 439.625000,294.375000 443.500000,294.750000 446.625000,296.625000 448.625000,299.625000 448.375000,302.625000 445.500000,305.750000 439.875000,308.750000 431.625000,312.000000 135.250000,344.625000 136.125000,341.750000 136.500000,342.000000 136.875000,343.500000 136.500000,347.000000 133.125000,357.000000 130.500000,361.500000 126.625000,364.375000 126.000000,364.750000 128.125000,365.250000 133.750000,364.500000 92.500000,420.750000 91.250000,421.000000 90.500000,420.875000 90.125000,420.125000 90.625000,416.750000 96.750000,404.000000 101.000000,397.500000 102.375000,397.500000 104.000000,399.125000 109.375000,411.250000 109.750000,412.500000 109.000000,413.750000 91.250000,415.625000 90.500000,414.250000 93.500000,413.125000 106.375000,409.750000 114.125000,408.500000 125.375000,396.375000 125.500000,395.250000 128.875000,393.000000 133.500000,390.375000 139.000000,388.000000 139.250000,387.875000 138.250000,388.375000 137.125000,389.750000 136.375000,391.375000 135.500000,404.625000 134.000000,408.625000 131.875000,411.500000 130.250000,411.875000 129.625000,411.125000 130.750000,409.750000 133.375000,408.125000 146.000000,402.375000 154.875000,391.000000 154.875000,390.375000 161.000000,393.875000 172.750000,397.125000 172.625000,396.625000 172.500000,393.625000 172.000000,390.625000 170.000000,389.500000 166.250000,390.375000 159.625000,395.500000 151.500000,405.500000 84.375000,264.000000 83.625000,263.875000 83.500000,264.000000 88.750000,268.500000 81.375000,280.750000 80.250000,280.250000 79.875000,280.125000 84.750000,275.250000 89.375000,272.250000 91.000000,271.875000 91.000000,273.250000 90.000000,275.500000 86.750000,281.750000 84.875000,284.875000 81.500000,289.125000 83.875000,286.000000 89.000000,282.000000 91.125000,281.750000 92.750000,282.250000 96.375000,286.625000 98.375000,287.125000 106.250000,284.375000 136.125000,404.625000 136.000000,403.875000 125.750000,260.625000 125.500000,260.250000 124.375000,261.250000 115.250000,273.625000 119.125000,268.375000 119.625000,267.875000 119.750000,267.875000 120.125000,268.250000 121.375000,269.500000 122.500000,269.750000 125.625000,267.875000 127.250000,265.875000 123.625000,269.500000 118.500000,274.250000 121.500000,272.125000 124.000000,270.375000 126.875000,269.250000 121.000000,276.250000 124.125000,273.875000 125.000000,274.000000 125.125000,274.625000 123.125000,277.000000 119.125000,279.875000 122.500000,277.750000 123.000000,280.500000 123.500000,281.250000 124.875000,281.750000 119.375000,284.875000 121.500000,283.375000 122.000000,283.500000 122.750000,285.375000 119.000000,296.375000 117.625000,295.375000 116.875000,295.250000 112.000000,320.000000 345.875000,223.500000 334.250000,218.750000 324.000000,212.125000 315.375000,203.375000 309.500000,190.625000 307.750000,174.375000 310.250000,157.875000 318.250000,142.875000 331.750000,130.000000 350.375000,119.375000 373.875000,110.750000 401.000000,104.875000 429.375000,102.375000 456.250000,102.875000 481.000000,105.500000 503.375000,109.625000 523.500000,115.375000 539.250000,123.000000 547.125000,130.500000 549.375000,140.750000 547.125000,153.625000 539.875000,167.500000 528.125000,182.000000 513.250000,195.125000 496.625000,205.375000 478.000000,212.625000 460.875000,216.625000 443.000000,219.000000 424.750000,220.250000 405.125000,220.000000 385.000000,217.875000 364.875000,214.500000 345.500000,209.750000 330.500000,202.750000 321.625000,194.375000 316.500000,183.500000 314.625000,169.875000 317.875000,155.125000 326.875000,140.500000 342.625000,127.125000 363.375000,116.250000 387.250000,107.750000 411.750000,101.625000 437.500000,98.000000 462.875000,97.875000 486.125000,100.875000 504.875000,106.250000 518.875000,114.375000 528.500000,124.875000 533.375000,138.000000 533.250000,153.500000 527.875000,169.000000 517.875000,183.125000 504.125000,195.250000 486.625000,204.375000 465.500000,210.875000 441.250000,214.250000 413.125000,215.125000 385.250000,215.000000 352.875000,215.000000 53.500000,70.875000 50.750000,65.625000

,[81.375000,347.875000 ],[84.125000,338.750000 ],[87.750000,323.750000 ],[91.875000,311.750000 ],[92.750000,311.750000 ],[94.750000,312.875000 ],[97.500000,316.875000 ],[99.250000,323.750000 ],[102.250000,340.500000 ],[102.250000,344.375000 ],[101.000000,345.250000 ],[ ],[93.000000,335.125000 ],[91.750000,334.500000 ],[94.250000,333.250000 ],[103.250000,330.000000 ],[ ],[118.500000,318.750000 ],[118.625000,317.625000 ],[121.125000,315.625000 ],[130.125000,310.500000 ],[130.125000,309.500000 ],[128.750000,309.000000 ],[127.625000,310.250000 ],[127.250000,312.625000 ],[127.500000,316.000000 ],[129.750000,326.375000 ],[130.250000,331.875000 ],[130.000000,335.875000 ],[129.000000,338.125000 ],[127.250000,339.125000 ],[124.875000,339.000000 ],[122.500000,337.875000 ],[120.250000,335.000000 ],[ ],[142.500000,312.500000 ],[150.625000,314.250000 ],[156.875000,315.750000 ],[166.750000,319.500000 ],[166.625000,318.750000 ],[ ],[165.125000,308.250000 ],[164.500000,307.000000 ],[163.500000,307.500000 ],[156.250000,320.500000 ],[154.500000,325.375000 ],[154.375000,329.750000 ],[ ],[180.250000,317.500000 ],[183.250000,317.750000 ],[ ],[221.625000,320.250000 ],[217.500000,316.875000 ],[215.250000,311.625000 ],[215.625000,306.750000 ],[218.625000,303.250000 ],[224.500000,299.750000 ],[231.125000,298.250000 ],[237.125000,299.625000 ],[240.500000,303.375000 ],[240.625000,307.625000 ],[238.125000,312.125000 ],[234.125000,316.375000 ],[229.625000,319.500000 ],[226.250000,320.875000 ],[225.000000,320.750000 ],[ ],[255.000000,314.750000 ],[251.375000,314.000000 ],[248.125000,312.750000 ],[246.000000,310.250000 ],[245.625000,306.750000 ],[247.125000,301.500000 ],[250.750000,296.125000 ],[255.375000,293.000000 ],[260.000000,292.375000 ],[264.875000,294.125000 ],[269.750000,299.125000 ],[272.500000,305.375000 ],[272.250000,312.250000 ],[269.375000,318.625000 ],[266.000000,323.250000 ],[262.625000,326.750000 ],[ ],[286.875000,325.625000 ],[283.625000,324.500000 ],[280.875000,322.750000 ],[279.250000,319.750000 ],[279.750000,315.125000 ],[281.875000,307.500000 ],[285.750000,299.250000 ],[290.750000,294.625000 ],[295.375000,293.250000 ],[299.250000,294.500000 ],[301.375000,298.125000 ],[301.000000,303.125000 ],[297.375000,308.375000 ],[287.500000,317.750000 ],[ ],[323.750000,311.875000 ],[321.375000,310.875000 ],[324.000000,309.750000 ],[329.750000,308.750000 ],[338.250000,308.125000 ],[ ],[371.000000,321.250000 ],[366.375000,319.375000 ],[363.625000,316.625000 ],[363.125000,312.000000 ],[364.750000,305.625000 ],[368.500000,300.375000 ],[373.125000,297.375000 ],[377.625000,296.500000 ],[381.125000,297.625000 ],[383.625000,300.875000 ],[384.375000,305.750000 ],[382.875000,310.750000 ],[379.750000,314.750000 ],[374.125000,319.875000 ],[ ],[408.500000,316.250000 ],[406.875000,317.000000 ],[404.625000,317.625000 ],[401.375000,318.125000 ],[398.250000,317.375000 ],[395.875000,316.250000 ],[395.000000,314.000000 ],[395.875000,309.500000 ],[398.625000,303.000000 ],[402.625000,297.875000 ],[407.125000,296.000000 ],[412.250000,296.125000 ],[417.250000,299.000000 ],[421.250000,304.000000 ],[422.625000,309.000000 ],[420.750000,313.750000 ],[416.125000,317.500000 ],[410.625000,320.125000 ],[405.750000,321.625000 ],[ ],[438.375000,313.375000 ],[434.750000,312.000000 ],[431.250000,310.625000 ],[429.375000,308.375000 ],[429.375000,305.625000 ],[431.500000,300.750000 ],[435.375000,296.250000 ],[439.625000,294.375000 ],[443.500000,294.750000 ],[446.625000,296.625000 ],[448.625000,299.625000 ],[448.375000,302.625000 ],[445.500000,305.750000 ],[439.875000,308.750000 ],[431.625000,312.000000 ],[ ],[135.250000,344.625000 ],[136.125000,341.750000 ],[136.500000,342.000000 ],[136.875000,343.500000 ],[136.500000,347.000000 ],[133.125000,357.000000 ],[130.500000,361.500000 ],[ ],[126.625000,364.375000 ],[126.000000,364.750000 ],[128.125000,365.250000 ],[133.750000,364.500000 ],[ ],[92.500000,420.750000 ],[91.250000,421.000000 ],[90.500000,420.875000 ],[90.125000,420.125000 ],[90.625000,416.750000 ],[96.750000,404.000000 ],[101.000000,397.500000 ],[102.375000,397.500000 ],[104.000000,399.125000 ],[109.375000,411.250000 ],[109.750000,412.500000 ],[109.000000,413.750000 ],[ ],[91.250000,415.625000 ],[90.500000,414.250000 ],[93.500000,413.125000 ],[106.375000,409.750000 ],[114.125000,408.500000 ],[ ],[125.375000,396.375000 ],[125.500000,395.250000 ],[128.875000,393.000000 ],[133.500000,390.375000 ],[139.000000,388.000000 ],[139.250000,387.875000 ],[ ],[138.250000,388.375000 ],[137.125000,389.750000 ],[136.375000,391.375000 ],[135.500000,404.625000 ],[134.000000,408.625000 ],[131.875000,411.500000 ],[130.250000,411.875000 ],[129.625000,411.125000 ],[130.750000,409.750000 ],[133.375000,408.125000 ],[146.000000,402.375000 ],[ ],[154.875000,391.000000 ],[154.875000,390.375000 ],[161.000000,393.875000 ],[172.750000,397.125000 ],[172.625000,396.625000 ],[172.500000,393.625000 ],[172.000000,390.625000 ],[170.000000,389.500000 ],[166.250000,390.375000 ],[159.625000,395.500000 ],[151.500000,405.500000 ],[ ],[84.375000,264.000000 ],[83.625000,263.875000 ],[83.500000,264.000000 ],[88.750000,268.500000 ],[ ],[81.375000,280.750000 ],[80.250000,280.250000 ],[79.875000,280.125000 ],[84.750000,275.250000 ],[89.375000,272.250000 ],[91.000000,271.875000 ],[91.000000,273.250000 ],[90.000000,275.500000 ],[86.750000,281.750000 ],[84.875000,284.875000 ],[81.500000,289.125000 ],[83.875000,286.000000 ],[89.000000,282.000000 ],[91.125000,281.750000 ],[92.750000,282.250000 ],[96.375000,286.625000 ],[98.375000,287.125000 ],[106.250000,284.375000 ],[ ],[136.125000,404.625000 ],[136.000000,403.875000 ],[ ],[125.750000,260.625000 ],[125.500000,260.250000 ],[124.375000,261.250000 ],[115.250000,273.625000 ],[ ],[119.125000,268.375000 ],[119.625000,267.875000 ],[119.750000,267.875000 ],[120.125000,268.250000 ],[121.375000,269.500000 ],[122.500000,269.750000 ],[125.625000,267.875000 ],[127.250000,265.875000 ],[123.625000,269.500000 ],[118.500000,274.250000 ],[121.500000,272.125000 ],[124.000000,270.375000 ],[126.875000,269.250000 ],[121.000000,276.250000 ],[124.125000,273.875000 ],[125.000000,274.000000 ],[125.125000,274.625000 ],[123.125000,277.000000 ],[119.125000,279.875000 ],[122.500000,277.750000 ],[123.000000,280.500000 ],[123.500000,281.250000 ],[124.875000,281.750000 ],[119.375000,284.875000 ],[121.500000,283.375000 ],[122.000000,283.500000 ],[122.750000,285.375000 ],[ ],[119.000000,296.375000 ],[117.625000,295.375000 ],[116.875000,295.250000 ],[ ],[112.000000,320.000000 ],[ ],[345.875000,223.500000 ],[334.250000,218.750000 ],[324.000000,212.125000 ],[315.375000,203.375000 ],[309.500000,190.625000 ],[307.750000,174.375000 ],[310.250000,157.875000 ],[318.250000,142.875000 ],[331.750000,130.000000 ],[350.375000,119.375000 ],[373.875000,110.750000 ],[401.000000,104.875000 ],[429.375000,102.375000 ],[456.250000,102.875000 ],[481.000000,105.500000 ],[503.375000,109.625000 ],[523.500000,115.375000 ],[539.250000,123.000000 ],[547.125000,130.500000 ],[549.375000,140.750000 ],[547.125000,153.625000 ],[539.875000,167.500000 ],[528.125000,182.000000 ],[513.250000,195.125000 ],[496.625000,205.375000 ],[478.000000,212.625000 ],[460.875000,216.625000 ],[443.000000,219.000000 ],[424.750000,220.250000 ],[405.125000,220.000000 ],[385.000000,217.875000 ],[364.875000,214.500000 ],[345.500000,209.750000 ],[330.500000,202.750000 ],[321.625000,194.375000 ],[316.500000,183.500000 ],[314.625000,169.875000 ],[317.875000,155.125000 ],[326.875000,140.500000 ],[342.625000,127.125000 ],[363.375000,116.250000 ],[387.250000,107.750000 ],[411.750000,101.625000 ],[437.500000,98.000000 ],[462.875000,97.875000 ],[486.125000,100.875000 ],[504.875000,106.250000 ],[518.875000,114.375000 ],[528.500000,124.875000 ],[533.375000,138.000000 ],[533.250000,153.500000 ],[527.875000,169.000000 ],[517.875000,183.125000 ],[504.125000,195.250000 ],[486.625000,204.375000 ],[465.500000,210.875000 ],[441.250000,214.250000 ],[413.125000,215.125000 ],[385.250000,215.000000 ],[352.875000,215.000000 ],[ ],[53.500000,70.875000 ],[50.750000,65.625000 ],[ ],[]

図形と関数

  1 図形と関数
名称 グラフ 説明
指数関数
python + matplotlib
import numpy as np
import math
import matplotlib.pyplot as plt

xy = [(p, math.exp(p)) for p in \
      np.arange(start = - 2, stop = 2, step = 0.1)]
z = [list(t) for t in zip(*xy)]; x = z[0]; y = z[1]

fig, ax = plt.subplots()
ax.plot(x, y)

plt.show()
逆ネルンスト 電池の充放電曲線で現れます。
確率曲線
正規分布関数 確率統計で多用されます。 品質管理 でも大切です。

数式の例

  2 数式の例
数式 意味 説明
y = a x + b 一次関数 直線

数に量の意味はありません。 変数 には、x,y,zのようにアルファベットの後ろの方を使い 定数には、a,b,cのようにアルファベットの前の方を使います。 デカルト座標系では、 図形を表します。 座標の数に量を割り当てたものをグラフやチャートと呼びます。

p V = n R T
気体の状態方程式 1662~1802 左辺 pV仕事、 右辺nRTが熱量で、 エネルギー収支を表す量方程式です。 量方程式なので量を単位で割った数値を代入したり求めたりします。
E = E0 - RT nF ln K
ネルンストの式 1889
S = k B ln W
ボルツマンの式 1877

数式には、インドアラビア数字、 ラテン文字ギリシャ文字、記号など多くの文字が現れます。 文字の多くは、数を表現します。量を数で表現している場合もあります。

数式は、量との量の関係を表現しているので、グラフにできます。

数式で数値を求めるときは、量を単位で割ってから代入します。このような数式を量方程式あるいは 量式*と言います。 単位が指定された数式を 数値方程式 と言います。単位の定義が変わると 数値方程式 の係数も変わります。 文献に記載された 数値方程式 を使う場合は、単位の定義がいつのものなのかを確認する必要があります。

コンピュータ上では直接数式を表現できないため、 TeXを使います。 MathMLを使います。

👨‍🏫 数式の表現、量の表現 👨‍🏫 ウルフラムアルファ(WolframAlpha) 👨‍🏫 計算式のページ(フォーム)
<!-- 図図図図図 図図図図図 -->
<figure>
<img src="https://a.yamagata-u.ac.jp/amenity/Laboratory/xyGraphImage.aspx?id=129" />
<figcaption>
<a href="https://edu.yz.yamagata-u.ac.jp/developer/Asp/Youzan/Laboratory/Plot/Plot_Index.asp">Fig</a> <a href="https://edu.yz.yamagata-u.ac.jp/developer/Asp/Youzan/Laboratory/Plot/@Plot.asp?nxyGraphID=129"> まーる </a>
<div> </div>
</figcaption>
</figure>
<!-- 図図図図図 図図図図図 -->

動画、音声及び写真を含む図表等を転載する場合には転載許諾書による同意があった方が無難です。 動画、音声及び写真を含む図表等の転載許諾書


QRコード
https://edu.yz.yamagata-u.ac.jp/developer/Asp/Youzan/Laboratory/Plot/@Plot.asp?nxyGraphID=129
名称: 教育用公開ウェブサービス
URL: 🔗 https://edu.yz.yamagata-u.ac.jp/
管理運用 山形大学 学術情報基盤センター

🎄🎂🌃🕯🎉
名称: サイバーキャンパス「鷹山」
URL: 🔗 http://amenity.yz.yamagata-u.ac.jp/
管理運用 山形大学 データベースアメニティ研究会
〒992-8510 山形県米沢市城南4丁目3-16

Copyright ©1996- 2026 Databese Amenity Laboratory of Virtual Research Institute,  Yamagata University All Rights Reserved.