{"id":1119885,"date":"2025-01-08T18:48:51","date_gmt":"2025-01-08T10:48:51","guid":{"rendered":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/1119885.html"},"modified":"2025-01-08T18:48:54","modified_gmt":"2025-01-08T10:48:54","slug":"%e5%9c%a8python%e4%b8%ad%e5%a6%82%e4%bd%95%e8%be%93%e5%85%a5e%e7%9a%84%e8%b4%9fx","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/1119885.html","title":{"rendered":"\u5728python\u4e2d\u5982\u4f55\u8f93\u5165e\u7684\u8d1fx"},"content":{"rendered":"

\"\u5728python\u4e2d\u5982\u4f55\u8f93\u5165e\u7684\u8d1fx\"<\/p>\n

\u5728Python\u4e2d\uff0c\u8f93\u5165e\u7684\u8d1fx\u6709\u51e0\u79cd\u65b9\u6cd5\uff1a\u4f7f\u7528math\u5e93\u3001\u4f7f\u7528numpy\u5e93\u3001\u76f4\u63a5\u4f7f\u7528\u5185\u7f6e\u51fd\u6570\u7b49\u65b9\u5f0f\u3002<\/strong> \u5176\u4e2d\uff0c\u4f7f\u7528math\u5e93\u662f\u6700\u5e38\u89c1\u7684\u65b9\u6cd5\uff0c\u56e0\u4e3a\u5b83\u63d0\u4f9b\u4e86\u4e30\u5bcc\u7684\u6570\u5b66\u51fd\u6570\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u53ef\u4ee5\u4f7f\u7528math.exp()<\/code>\u51fd\u6570\u5e76\u4f20\u9012\u8d1f\u6570\u4f5c\u4e3a\u53c2\u6570\u6765\u8ba1\u7b97e\u7684\u8d1fx\u3002\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u8be6\u7ec6\u8bb2\u89e3\u8fd9\u51e0\u79cd\u65b9\u6cd5\uff0c\u5e76\u4ecb\u7ecd\u4e00\u4e9b\u5b9e\u9645\u5e94\u7528\u573a\u666f\u3002<\/p>\n<\/p>\n

\u4e00\u3001\u4f7f\u7528math\u5e93<\/h3>\n<\/p>\n

Python\u7684math\u5e93\u63d0\u4f9b\u4e86\u5f88\u591a\u6570\u5b66\u51fd\u6570\uff0c\u53ef\u4ee5\u65b9\u4fbf\u5730\u8fdb\u884c\u5404\u79cd\u6570\u5b66\u8ba1\u7b97\u3002\u4e3a\u4e86\u8ba1\u7b97e\u7684\u8d1fx\uff0c\u53ef\u4ee5\u4f7f\u7528math.exp()<\/code>\u51fd\u6570\uff0c\u5e76\u4f20\u9012\u4e00\u4e2a\u8d1f\u6570\u4f5c\u4e3a\u53c2\u6570\u3002\u4ee5\u4e0b\u662f\u5177\u4f53\u7684\u793a\u4f8b\u4ee3\u7801\uff1a<\/p>\n<\/p>\n

import math<\/p>\n
x = 2<\/p>\n
result = math.exp(-x)<\/p>\n
print("e\u7684\u8d1fx\u6b21\u65b9\u4e3a\uff1a", result)<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u5728\u8fd9\u4e2a\u793a\u4f8b\u4e2d\uff0c\u6211\u4eec\u8ba1\u7b97\u4e86e\u7684\u8d1f2\u6b21\u65b9\uff0c\u5e76\u5c06\u7ed3\u679c\u6253\u5370\u51fa\u6765\u3002\u4f7f\u7528math\u5e93\u7684\u4e00\u4e2a\u4f18\u70b9\u662f\u5b83\u5185\u7f6e\u4e86\u8bb8\u591a\u5176\u4ed6\u6709\u7528\u7684\u6570\u5b66\u51fd\u6570\uff0c\u53ef\u4ee5\u6ee1\u8db3\u5927\u591a\u6570\u6570\u5b66\u8ba1\u7b97\u9700\u6c42\u3002<\/strong><\/p>\n<\/p>\n
\u4e8c\u3001\u4f7f\u7528numpy\u5e93<\/h3>\n<\/p>\n
\u9664\u4e86math\u5e93\u4e4b\u5916\uff0cnumpy\u5e93\u4e5f\u662f\u4e00\u4e2a\u975e\u5e38\u5f3a\u5927\u7684\u6570\u5b66\u8ba1\u7b97\u5e93\uff0c\u7279\u522b\u9002\u5408\u5904\u7406\u5927\u89c4\u6a21\u6570\u636e\u548c\u77e9\u9635\u8fd0\u7b97\u3002numpy\u5e93\u540c\u6837\u63d0\u4f9b\u4e86\u4e00\u4e2aexp()<\/code>\u51fd\u6570\uff0c\u53ef\u4ee5\u7528\u6765\u8ba1\u7b97e\u7684\u8d1fx\u3002\u4ee5\u4e0b\u662f\u5177\u4f53\u7684\u793a\u4f8b\u4ee3\u7801\uff1a<\/p>\n<\/p>\n
import numpy as np<\/p>\n
x = 2<\/p>\n
result = np.exp(-x)<\/p>\n
print("e\u7684\u8d1fx\u6b21\u65b9\u4e3a\uff1a", result)<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u5728\u8fd9\u4e2a\u793a\u4f8b\u4e2d\uff0c\u6211\u4eec\u4f7f\u7528\u4e86numpy\u5e93\u7684exp()<\/code>\u51fd\u6570\uff0c\u5e76\u4f20\u9012\u4e86\u8d1f\u6570\u4f5c\u4e3a\u53c2\u6570\u6765\u8ba1\u7b97e\u7684\u8d1fx\u3002\u4f7f\u7528numpy\u5e93\u7684\u4e00\u4e2a\u4f18\u70b9\u662f\u5b83\u5728\u5904\u7406\u6570\u7ec4\u548c\u77e9\u9635\u8fd0\u7b97\u65f6\u975e\u5e38\u9ad8\u6548\uff0c\u9002\u5408\u9700\u8981\u8fdb\u884c\u5927\u91cf\u6570\u5b66\u8ba1\u7b97\u7684\u573a\u666f\u3002<\/strong><\/p>\n<\/p>\n
\u4e09\u3001\u76f4\u63a5\u4f7f\u7528\u5185\u7f6e\u51fd\u6570<\/h3>\n<\/p>\n
\u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b\uff0c\u53ef\u4ee5\u76f4\u63a5\u4f7f\u7528Python\u7684\u5185\u7f6e\u51fd\u6570\u6765\u8ba1\u7b97e\u7684\u8d1fx\u3002\u4f8b\u5982\uff0c\u53ef\u4ee5\u4f7f\u7528\u4e00\u4e2a\u7b80\u5355\u7684\u516c\u5f0f\u6765\u5b9e\u73b0\u8fd9\u4e00\u8ba1\u7b97\u3002\u4ee5\u4e0b\u662f\u5177\u4f53\u7684\u793a\u4f8b\u4ee3\u7801\uff1a<\/p>\n<\/p>\n
x = 2<\/p>\n
result = 1 \/ (2.718281828459045  x)<\/p>\n
print("e\u7684\u8d1fx\u6b21\u65b9\u4e3a\uff1a", result)<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u5728\u8fd9\u4e2a\u793a\u4f8b\u4e2d\uff0c\u6211\u4eec\u76f4\u63a5\u4f7f\u7528\u4e86e\u7684\u8fd1\u4f3c\u503c\uff082.718281828459045\uff09\u6765\u8ba1\u7b97e\u7684\u8d1fx\u3002\u8fd9\u79cd\u65b9\u6cd5\u867d\u7136\u4e0d\u5982\u4f7f\u7528math\u5e93\u6216numpy\u5e93\u65b9\u4fbf\uff0c\u4f46\u5728\u67d0\u4e9b\u7279\u6b8a\u573a\u666f\u4e0b\u4ecd\u7136\u53ef\u4ee5\u4f7f\u7528\u3002<\/strong><\/p>\n<\/p>\n
\u56db\u3001\u5b9e\u9645\u5e94\u7528\u573a\u666f<\/h3>\n<\/p>\n
\u8ba1\u7b97e\u7684\u8d1fx\u5728\u8bb8\u591a\u5b9e\u9645\u5e94\u7528\u4e2d\u90fd\u6709\u5e7f\u6cdb\u7684\u5e94\u7528\uff0c\u4f8b\u5982\uff1a<\/p>\n<\/p>\n
1\u3001\u673a\u5668\u5b66\u4e60<\/a>\u4e2d\u7684\u6fc0\u6d3b\u51fd\u6570<\/h4>\n<\/p>\n
\u5728\u673a\u5668\u5b66\u4e60\u4e2d\uff0c\u5e38\u89c1\u7684\u6fc0\u6d3b\u51fd\u6570\u4e4b\u4e00\u662fsigmoid\u51fd\u6570\u3002sigmoid\u51fd\u6570\u7684\u516c\u5f0f\u4e3a\uff1a<\/p>\n<\/p>\n
[ \\text{sigmoid}(x) = \\frac{1}{1 + e^{-x}} ]<\/p>\n<\/p>\n
\u8fd9\u5c31\u9700\u8981\u8ba1\u7b97e\u7684\u8d1fx\u3002\u4ee5\u4e0b\u662f\u4f7f\u7528Python\u5b9e\u73b0sigmoid\u51fd\u6570\u7684\u793a\u4f8b\u4ee3\u7801\uff1a<\/p>\n<\/p>\n
import math<\/p>\n
def sigmoid(x):<\/p>\n
    return 1 \/ (1 + math.exp(-x))<\/p>\n
x = 2<\/p>\n
result = sigmoid(x)<\/p>\n
print("sigmoid\u51fd\u6570\u7684\u7ed3\u679c\u4e3a\uff1a", result)<\/p>\n
<\/code><\/pre>\n<\/p>\n
2\u3001\u590d\u5229\u8ba1\u7b97<\/h4>\n<\/p>\n
\u5728\u91d1\u878d\u9886\u57df\uff0c\u590d\u5229\u8ba1\u7b97\u4e2d\u4e5f\u5e38\u5e38\u9700\u8981\u8ba1\u7b97e\u7684\u8d1fx\u3002\u4f8b\u5982\uff0c\u5728\u8ba1\u7b97\u8fde\u7eed\u590d\u5229\u65f6\uff0c\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\uff1a<\/p>\n<\/p>\n
[ A = P \\cdot e^{rt} ]<\/p>\n<\/p>\n
\u5176\u4e2d\uff0cA\u662f\u6700\u7ec8\u91d1\u989d\uff0cP\u662f\u672c\u91d1\uff0cr\u662f\u5e74\u5229\u7387\uff0ct\u662f\u65f6\u95f4\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u53ef\u4ee5\u4f7f\u7528Python\u8ba1\u7b97e\u7684\u8d1fx\u3002\u4ee5\u4e0b\u662f\u5177\u4f53\u7684\u793a\u4f8b\u4ee3\u7801\uff1a<\/p>\n<\/p>\n
import math<\/p>\n
P = 1000  # \u672c\u91d1<\/p>\n
r = 0.05  # \u5e74\u5229\u7387<\/p>\n
t = 2     # \u65f6\u95f4\uff08\u5e74\uff09<\/p>\n
A = P * math.exp(r * t)<\/p>\n
print("\u8fde\u7eed\u590d\u5229\u8ba1\u7b97\u7ed3\u679c\u4e3a\uff1a", A)<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u4e94\u3001\u603b\u7ed3<\/h3>\n<\/p>\n
\u901a\u8fc7\u4ee5\u4e0a\u4ecb\u7ecd\uff0c\u6211\u4eec\u8be6\u7ec6\u8bb2\u89e3\u4e86\u5728Python\u4e2d\u5982\u4f55\u8f93\u5165e\u7684\u8d1fx\uff0c\u5e76\u4ecb\u7ecd\u4e86\u4f7f\u7528math\u5e93\u3001numpy\u5e93\u548c\u76f4\u63a5\u4f7f\u7528\u5185\u7f6e\u51fd\u6570\u7684\u65b9\u6cd5\u3002\u4f7f\u7528math\u5e93\u662f\u6700\u5e38\u89c1\u7684\u65b9\u6cd5\uff0c\u5b83\u63d0\u4f9b\u4e86\u4e30\u5bcc\u7684\u6570\u5b66\u51fd\u6570\uff0c\u53ef\u4ee5\u6ee1\u8db3\u5927\u591a\u6570\u6570\u5b66\u8ba1\u7b97\u9700\u6c42\u3002<\/strong> numpy\u5e93\u5728\u5904\u7406\u5927\u89c4\u6a21\u6570\u636e\u548c\u77e9\u9635\u8fd0\u7b97\u65f6\u975e\u5e38\u9ad8\u6548\uff0c\u9002\u5408\u9700\u8981\u8fdb\u884c\u5927\u91cf\u6570\u5b66\u8ba1\u7b97\u7684\u573a\u666f\u3002\u76f4\u63a5\u4f7f\u7528\u5185\u7f6e\u51fd\u6570\u867d\u7136\u4e0d\u5982\u524d\u4e24\u79cd\u65b9\u6cd5\u65b9\u4fbf\uff0c\u4f46\u5728\u67d0\u4e9b\u7279\u6b8a\u573a\u666f\u4e0b\u4ecd\u7136\u53ef\u4ee5\u4f7f\u7528\u3002<\/p>\n<\/p>\n
\u6b64\u5916\uff0c\u6211\u4eec\u8fd8\u4ecb\u7ecd\u4e86\u8ba1\u7b97e\u7684\u8d1fx\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\u7684\u4e00\u4e9b\u573a\u666f\uff0c\u5305\u62ec\u673a\u5668\u5b66\u4e60\u4e2d\u7684\u6fc0\u6d3b\u51fd\u6570\u548c\u91d1\u878d\u9886\u57df\u7684\u590d\u5229\u8ba1\u7b97\u3002\u5e0c\u671b\u901a\u8fc7\u8fd9\u7bc7\u6587\u7ae0\uff0c\u80fd\u591f\u5e2e\u52a9\u8bfb\u8005\u66f4\u597d\u5730\u7406\u89e3\u548c\u5e94\u7528Python\u4e2d\u7684\u6570\u5b66\u51fd\u6570\u3002<\/p>\n<\/p>\n
\u76f8\u5173\u95ee\u7b54FAQs\uff1a<\/strong><\/h2>\n
 \u5982\u4f55\u5728Python\u4e2d\u8868\u793ae\u7684\u8d1fx\uff1f<\/strong>
\u5728Python\u4e2d\uff0c\u53ef\u4ee5\u4f7f\u7528math<\/code>\u5e93\u4e2d\u7684exp<\/code>\u51fd\u6570\u6765\u8ba1\u7b97e\u7684\u4efb\u610f\u6307\u6570\uff0c\u5305\u62ec\u8d1fx\u3002\u60a8\u53ef\u4ee5\u901a\u8fc7\u4ee5\u4e0b\u4ee3\u7801\u5b9e\u73b0\uff1a  <\/p>\n
import math\n\nx = 2  # \u8fd9\u662f\u60a8\u8981\u8ba1\u7b97\u7684x\u503c\nresult = math.exp(-x)\nprint(result)\n<\/code><\/pre>\n
\u8fd9\u6837\uff0c\u60a8\u5c31\u53ef\u4ee5\u8f7b\u677e\u8ba1\u7b97e\u7684\u8d1fx\u503c\u3002<\/p>\n
\u5728Python\u4e2d\u8ba1\u7b97e\u7684\u8d1fx\u65f6\u5982\u4f55\u5904\u7406\u53d8\u91cf\uff1f<\/strong>
\u5982\u679c\u60a8\u5e0c\u671b\u8ba1\u7b97\u591a\u4e2ax\u503c\u7684e\u7684\u8d1fx\uff0c\u60a8\u53ef\u4ee5\u5c06\u5176\u5c01\u88c5\u5728\u4e00\u4e2a\u51fd\u6570\u4e2d\u3002\u4ee5\u4e0b\u662f\u4e00\u4e2a\u793a\u4f8b\uff1a  <\/p>\n
import math\n\ndef calculate_exponential_negative(x):\n    return math.exp(-x)\n\n# \u4f7f\u7528\u51fd\u6570\u8ba1\u7b97\u4e0d\u540c\u7684x\u503c\nprint(calculate_exponential_negative(1))\nprint(calculate_exponential_negative(3))\n<\/code><\/pre>\n
\u901a\u8fc7\u8fd9\u79cd\u65b9\u5f0f\uff0c\u60a8\u53ef\u4ee5\u5feb\u901f\u8ba1\u7b97\u591a\u4e2a\u503c\u3002<\/p>\n
\u662f\u5426\u53ef\u4ee5\u4f7f\u7528NumPy\u5e93\u8ba1\u7b97e\u7684\u8d1fx\uff1f<\/strong>
\u5f53\u7136\u53ef\u4ee5\uff01NumPy\u662f\u4e00\u4e2a\u5f3a\u5927\u7684\u79d1\u5b66\u8ba1\u7b97\u5e93\uff0c\u5b83\u652f\u6301\u6570\u7ec4\u8fd0\u7b97\uff0c\u53ef\u4ee5\u66f4\u65b9\u4fbf\u5730\u5904\u7406\u591a\u4e2a\u503c\u7684\u8ba1\u7b97\u3002\u4ee5\u4e0b\u662f\u4f7f\u7528NumPy\u8ba1\u7b97e\u7684\u8d1fx\u7684\u793a\u4f8b\uff1a  <\/p>\n
import numpy as np\n\nx_values = np.array([1, 2, 3])\nresults = np.exp(-x_values)\nprint(results)\n<\/code><\/pre>\n
\u8fd9\u79cd\u65b9\u6cd5\u7279\u522b\u9002\u5408\u5904\u7406\u5927\u578b\u6570\u636e\u96c6\uff0c\u8ba1\u7b97\u6548\u7387\u66f4\u9ad8\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"\u5728Python\u4e2d\uff0c\u8f93\u5165e\u7684\u8d1fx\u6709\u51e0\u79cd\u65b9\u6cd5\uff1a\u4f7f\u7528math\u5e93\u3001\u4f7f\u7528numpy\u5e93\u3001\u76f4\u63a5\u4f7f\u7528\u5185\u7f6e\u51fd\u6570\u7b49\u65b9\u5f0f\u3002 \u5176\u4e2d\uff0c\u4f7f […]","protected":false},"author":3,"featured_media":1119893,"comment_status":"closed","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[37],"tags":[],"acf":[],"_links":{"self":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/1119885"}],"collection":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/comments?post=1119885"}],"version-history":[{"count":"1","href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/1119885\/revisions"}],"predecessor-version":[{"id":1119895,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/1119885\/revisions\/1119895"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media\/1119893"}],"wp:attachment":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media?parent=1119885"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/categories?post=1119885"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/tags?post=1119885"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}