what is variation principle?
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In science and especially in mathematical studies, a variational principle is one that enables a problem to be solved using calculus of variations, which concerns finding such functions which optimize the values of quantities that depend upon those functions.
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ᴛʜᴇ ᴘʀɪɴᴄɪᴘʟᴇ ᴏғ ᴠᴀʀɪᴀᴛɪᴏɴ ɪs ᴏɴᴇ ᴏғ ᴛʜᴏsᴇ ɪᴍᴍᴏᴠᴇᴀʙʟᴇ ᴛᴇɴᴀɴᴛs ᴏғ ᴛʀᴀɪɴɪɴɢ. ᴛʜᴇ ᴘʀɪɴᴄɪᴘʟᴇ ᴍᴀɪɴᴛᴀɪɴs ᴛʜᴀᴛ ᴀ ᴄᴏɴsᴛᴀɴᴛ ᴀᴅᴀᴘᴛᴀᴛɪᴏɴ ᴀɴᴅ ᴄʜᴀɴɢᴇs ɪɴ ɪɴᴛᴇɴsɪᴛʏ, ᴠᴏʟᴜᴍᴇ ᴀɴᴅ ᴛɪᴍᴇ ᴏғ ᴛʜᴇ ᴡᴏʀᴋᴏᴜᴛ ᴡɪʟʟ ᴘʀᴇᴠᴇɴᴛ ᴛʜᴇ sᴛᴀɢɴᴀᴛɪᴏɴ ᴏғ ᴘᴇʀғᴏʀᴍᴀɴᴄᴇ ɢᴀɪɴs ᴏʀ ɪɴᴄʀᴇᴀsᴇ ᴘᴇʀғᴏʀᴍᴀɴᴄᴇ ɢᴀɪɴs ғᴀsᴛᴇʀ ᴛʜᴀɴ ᴀ ʀᴇᴘᴇᴛɪᴛɪᴏɴ ᴏғ ᴛʜᴇ sᴀᴍᴇ ᴡᴏʀᴋᴏᴜᴛ.
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