普罗霍洛夫(米哈伊尔普罗霍罗夫)

  • 时间：2026-02-12|
  • 来源：64

普罗霍洛夫的生平

1. 米哈伊尔普罗霍罗夫，出生于1878年，是一位俄罗斯数学家。

2. 1902年，他在莫斯科大学获得博士学位，随后成为了该校的教授。

3. 普罗霍洛夫是20世纪最伟大的数学家之一，其主要贡献是在实分析、概率论、数论和组合数学等领域。

普罗霍洛夫的成就

4. 普罗霍洛夫在实分析领域的突出成就是他的三大定理。其中最著名的是普罗霍洛夫不等式，它在概率论中有重要应用。

5. 在概率论领域，普罗霍洛夫提出了“大数定律”，这个定理表明，当重复进行某个实验时，随着实验次数的增加，实验结果将趋近于其期望值。

6. 普罗霍洛夫还在数论上做出了一项伟大的贡献，他提出了“普罗霍洛夫素数定理”，该定理解决了一个数论中长期存在的问题，被誉为20世纪最重要的数学成就之一。

普罗霍洛夫的影响

7. 普罗霍洛夫的数学成就不仅仅是在学术界受到了广泛认可，他的成就还对数学和其他领域的发展产生了深远的影响。他的成就在实际应用中得到了广泛的应用，如在信息理论、密码学、统计学、计算机科学等领域。

相关标签

热门直播

0.3375
关
大
基本信息
SQL
$_GET
$_POST
$_COOKIE
包含文件
自动加载
  1. 模型: /www/wwwroot/www.oohpm.cn/lecms/model/
  2. 视图: /www/wwwroot/www.oohpm.cn/view/default/article_show.htm
  3. 控制器: /www/wwwroot/www.oohpm.cn/lecms/control/show_control.class.php
  4. 日志目录: /www/wwwroot/www.oohpm.cn/log/
  5. 当前页面: /www/wwwroot/www.oohpm.cn/index.php
  6. 当前时间: 2026-02-12 20:50:09
  7. 当前网协: 216.73.216.126
  8. 请求路径: /zuqiunews/38616.html
  9. 运行时间: 0.3375
  10. 内存开销: 1.74 MB
  1. #0 [time:0.0001s] SET character_set_connection=utf8mb4, character_set_results=utf8mb4, character_set_client=binary, sql_mode=''
  2. #1 [time:0.0003s] SELECT * FROM le_runtime WHERE k='cfg' LIMIT 1 [explain type: const | rows: 1]
  3. #2 [time:0.0004s] SELECT * FROM le_runtime WHERE k='cate_1' LIMIT 1 [explain type: const | rows: 1]
  4. #3 [time:0.0004s] SELECT * FROM le_cms_article WHERE id='38616' LIMIT 1 [explain type: const | rows: 1]
  5. #4 [time:0.0005s] SELECT * FROM le_kv WHERE k='le_rand_pic' LIMIT 1 [explain type: const | rows: 1]
  6. #5 [time:0.0005s] SELECT * FROM le_user WHERE uid='1' LIMIT 1 [explain type: system | rows: 1]
  7. #6 [time:0.0002s] SELECT * FROM le_cms_article_data WHERE id='38616' LIMIT 1 [explain type: const | rows: 1]
  8. #7 [time:0.0003s] SELECT * FROM le_cms_article_views WHERE id='38616' LIMIT 1 [explain type: const | rows: 1]
  9. #8 [time:0.0017s] UPDATE LOW_PRIORITY le_cms_article_views SET views=views+1 WHERE id='38616' LIMIT 1
  10. #9 [time:0.0003s] SELECT id FROM le_cms_article WHERE cid='1' AND id<'38616' ORDER BY id DESC LIMIT 0,1 [explain type: range | rows: 19829]
  11. #10 [time:0.0002s] SELECT * FROM le_cms_article WHERE id='38614' [explain type: const | rows: 1]
  12. #11 [time:0.0002s] SELECT id FROM le_cms_article WHERE cid='1' AND id>'38616' ORDER BY id ASC LIMIT 0,1 [explain type: range | rows: 6353]
  13. #12 [time:0.0002s] SELECT * FROM le_cms_article WHERE id='38618' [explain type: const | rows: 1]
  14. #13 [time:0.0001s] SELECT * FROM le_runtime WHERE k='cate_3' LIMIT 1 [explain type: const | rows: 1]
  15. #14 [time:0.0003s] SELECT flag,id FROM le_cms_liansai_flag WHERE flag='1' AND cid='3' ORDER BY id DESC LIMIT 0,2 [explain type: ref | rows: 5]
  16. #15 [time:0.0002s] SELECT * FROM le_cms_liansai_flag WHERE flag='1' AND id='2618' OR flag='1' AND id='2592' [explain type: ref | rows: 1]
  17. #16 [time:0.0002s] SELECT * FROM le_cms_liansai WHERE id='2618' OR id='2592' [explain type: range | rows: 2]
  18. #17 [time:0.0001s] SELECT * FROM le_kv WHERE k='navigate' LIMIT 1 [explain type: const | rows: 1]
  19. #18 [time:0.0002s] SELECT cid FROM le_category ORDER BY orderby ASC ,cid ASC [explain type: ALL | rows: 12]
  20. #19 [time:0.0002s] SELECT * FROM le_category WHERE cid='1' OR cid='2' OR cid='3' OR cid='4' OR cid='5' OR cid='6' OR cid='7' OR cid='8' OR cid='9' OR cid='10' OR cid='11' OR cid='12' [explain type: ALL | rows: 12]
  21. #20 [time:0.0001s] SELECT id FROM le_cms_liansai ORDER BY id DESC LIMIT 0,12 [explain type: index | rows: 12]
  22. #21 [time:0.0003s] SELECT * FROM le_cms_liansai WHERE id='2697' OR id='2696' OR id='2695' OR id='2694' OR id='2693' OR id='2692' OR id='2691' OR id='2690' OR id='2689' OR id='2688' OR id='2687' OR id='2686' [explain type: range | rows: 12]
  23. #22 [time:0.0002s] SELECT id FROM le_cms_live ORDER BY id ASC LIMIT 0,10 [explain type: index | rows: 10]
  24. #23 [time:0.0004s] SELECT * FROM le_cms_live WHERE id='1' OR id='2' OR id='3' OR id='4' OR id='5' OR id='6' OR id='7' OR id='8' OR id='9' OR id='10' [explain type: range | rows: 10]
  1. #control => show
  2. #action => index
  3. #cid => 1
  4. #id => 38616
  5. #mid => 2
    1. #PHPSESSID => sitip7eqhht43scm32cmgpfk4l
    1. #0 /www/wwwroot/www.oohpm.cn/index.php
    2. #1 /www/wwwroot/www.oohpm.cn/lecms/xiunophp/xiunophp.php
    3. #2 /www/wwwroot/www.oohpm.cn/lecms/config/config.inc.php
    4. #3 /www/wwwroot/www.oohpm.cn/lecms/xiunophp/lib/base.func.php
    5. #4 /www/wwwroot/www.oohpm.cn/lecms/xiunophp/lib/core.class.php
    6. #5 /www/wwwroot/www.oohpm.cn/lecms/xiunophp/lib/debug.class.php
    7. #6 /www/wwwroot/www.oohpm.cn/lecms/xiunophp/lib/log.class.php
    8. #7 /www/wwwroot/www.oohpm.cn/lecms/xiunophp/lib/model.class.php
    9. #8 /www/wwwroot/www.oohpm.cn/lecms/xiunophp/lib/view.class.php
    10. #9 /www/wwwroot/www.oohpm.cn/lecms/xiunophp/lib/control.class.php
    11. #10 /www/wwwroot/www.oohpm.cn/lecms/xiunophp/db/db.interface.php
    12. #11 /www/wwwroot/www.oohpm.cn/lecms/xiunophp/db/db_mysqli.class.php
    13. #12 /www/wwwroot/www.oohpm.cn/lecms/xiunophp/cache/cache.interface.php
    14. #13 /www/wwwroot/www.oohpm.cn/lecms/xiunophp/cache/cache_memcache.class.php
    15. #14 /www/wwwroot/www.oohpm.cn/lecms/xiunophp/ext/network/Network__interface.php
    16. #15 /www/wwwroot/www.oohpm.cn/lecms/config/plugin.inc.php
    17. #16 /www/wwwroot/www.oohpm.cn/lecms/plugin/editor_um/conf.php
    18. #17 /www/wwwroot/www.oohpm.cn/lecms/plugin/le_drafts/conf.php
    19. #18 /www/wwwroot/www.oohpm.cn/lecms/plugin/le_import_txt/conf.php
    20. #19 /www/wwwroot/www.oohpm.cn/lecms/plugin/le_links/conf.php
    21. #20 /www/wwwroot/www.oohpm.cn/lecms/plugin/le_rand_pic/conf.php
    22. #21 /www/wwwroot/www.oohpm.cn/lecms/plugin/le_sitemaps_pro_v303/conf.php
    23. #22 /www/wwwroot/www.oohpm.cn/lecms/plugin/le_title_pic/conf.php
    24. #23 /www/wwwroot/www.oohpm.cn/lecms/plugin/le_website_group/conf.php
    25. #24 /www/wwwroot/www.oohpm.cn/lecms/plugin/le_zhanqunsitemaps_pro_v303/conf.php
    26. #25 /www/wwwroot/www.oohpm.cn/lecms/plugin/models_filed/conf.php
    27. #26 /www/wwwroot/www.oohpm.cn/runcache/misc.func.php
    28. #27 /www/wwwroot/www.oohpm.cn/runcache/core_lang/zh-cn.php
    29. #28 /www/wwwroot/www.oohpm.cn/runcache/lang/zh-cn.php
    30. #29 /www/wwwroot/www.oohpm.cn/runcache/lecms_control/parseurl_control.class.php
    31. #30 /www/wwwroot/www.oohpm.cn/runcache/lecms_model/runtime_model.class.php
    32. #31 /www/wwwroot/www.oohpm.cn/runcache/lecms_control/show_control.class.php
    33. #32 /www/wwwroot/www.oohpm.cn/runcache/lecms_control/base_control.class.php
    34. #33 /www/wwwroot/www.oohpm.cn/runcache/lecms_model/urls_model.class.php
    35. #34 /www/wwwroot/www.oohpm.cn/runcache/lecms_model/category_model.class.php
    36. #35 /www/wwwroot/www.oohpm.cn/runcache/lecms_model/cms_content_model.class.php
    37. #36 /www/wwwroot/www.oohpm.cn/runcache/lecms_view/default,article_show.htm.php
    38. #37 /www/wwwroot/www.oohpm.cn/runcache/lecms_model/cms_content_data_model.class.php
    39. #38 /www/wwwroot/www.oohpm.cn/runcache/lecms_model/kv_model.class.php
    40. #39 /www/wwwroot/www.oohpm.cn/runcache/lecms_model/cms_content_tag_model.class.php
    41. #40 /www/wwwroot/www.oohpm.cn/runcache/lecms_model/user_model.class.php
    42. #41 /www/wwwroot/www.oohpm.cn/runcache/lecms_model/cms_content_views_model.class.php
    43. #42 /www/wwwroot/www.oohpm.cn/runcache/lecms_model/cms_content_flag_model.class.php
    44. #43 /www/wwwroot/www.oohpm.cn/lecms/xiunophp/ext/utf8.class.php
    45. #44 /www/wwwroot/www.oohpm.cn/lecms/xiunophp/tpl/sys_trace.php
    1. #0 utf8 类