define the term isomorphism & polymorphism with suitable exam
Answers
Explanation:
VERIFIED ANSWER
IN MATHEMATICS, AN ISOMORPHISM IS A MAPPING BETWEEN TWO STRUCTURE S OF THE SAME TYPE THAT CAN BE REVERSED BY AN INVERSE MAPPING
FOR EXAMPLE. FOR EVERY PRIME NUMBER P ALL FIELDS WITH P ELEMENT ARE CANONICALLY ISOMORPHISM WITH A UNIQUE ISOMORPHISM
THE WORD POLYMORPHISM MEANS MANY FORMS . . . In simple words, we can define polymorphism as the ability of a message to be displayed in more than one form. Real life example of polymorphism, a person at the same time can have different characteristic. Like a man at the same time is a father, a husband, an employee.
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ɪsᴏᴍᴏʀᴘʜɪsᴍ ɪs ᴛʜᴇ sɪᴍɪʟᴀʀɪᴛʏ ɪɴ ᴛʜᴇ ᴄʀʏsᴛᴀʟ sᴛʀᴜᴄᴛᴜʀᴇ ᴏғ ᴅɪғғᴇʀᴇɴᴛ ᴄᴏᴍᴘᴏᴜɴᴅs. ᴛʜᴇsᴇ ᴄᴏᴍᴘᴏᴜɴᴅs ᴀʀᴇ ᴄᴀʟʟᴇᴅ ɪsᴏᴍᴏʀᴘʜᴏᴜs sᴜʙsᴛᴀɴᴄᴇs. ɪɴ ᴛʜᴇ sɪᴍᴘʟᴇsᴛ ᴅᴇғɪɴɪᴛɪᴏɴ, ɪsᴏᴍᴏʀᴘʜᴏᴜs sᴜʙsᴛᴀɴᴄᴇs ᴀʀᴇ ɴᴇᴀʀʟʏ sᴀᴍᴇ ɪɴ ᴛʜᴇɪʀ sʜᴀᴘᴇ. ... ᴘᴏʟʏᴍᴏʀᴘʜɪsᴍ ɪs ᴛʜᴇ ᴘʀᴇsᴇɴᴄᴇ ᴏғ ᴅɪғғᴇʀᴇɴᴛ ᴄʀʏsᴛᴀʟʟɪɴᴇ ғᴏʀᴍs ᴏғ ᴛʜᴇ sᴀᴍᴇ ᴄᴏᴍᴘᴏᴜɴᴅ
ᴛʜᴇ ᴍᴀɪɴ ᴅɪғғᴇʀᴇɴᴄᴇ ʙᴇᴛᴡᴇᴇɴ ɪsᴏᴍᴏʀᴘʜɪsᴍ ᴀɴᴅ ᴘᴏʟʏᴍᴏʀᴘʜɪsᴍ ɪs ᴛʜᴀᴛ ɪsᴏᴍᴏʀᴘʜɪsᴍ ᴅᴇsᴄʀɪʙᴇs ᴛʜᴇ ᴇxɪsᴛᴇɴᴄᴇ ᴏғ ᴀ sᴀᴍᴇ ᴍᴏʀᴘʜᴏʟᴏɢʏ ɪɴ ᴅɪғғᴇʀᴇɴᴛ sᴜʙsᴛᴀɴᴄᴇs ᴡʜᴇʀᴇᴀs ᴘᴏʟʏᴍᴏʀᴘʜɪsᴍ ᴅᴇsᴄʀɪʙᴇs ᴛʜᴇ ᴇxɪsᴛᴇɴᴄᴇ ᴏғ ᴅɪғғᴇʀᴇɴᴛ ᴍᴏʀᴘʜᴏʟᴏɢɪᴇs ᴏғ ᴛʜᴇ sᴀᴍᴇ sᴜʙsᴛᴀɴᴄᴇ
ᴋᴇʏ ᴅɪғғᴇʀᴇɴᴄᴇ – ɪsᴏᴍᴏʀᴘʜɪsᴍ ᴠs ᴘᴏʟʏᴍᴏʀᴘʜɪsᴍ
ᴛʜᴇ sᴛʀᴜᴄᴛᴜʀᴇ ᴏғ ᴀ ᴄʜᴇᴍɪᴄᴀʟ ᴄᴏᴍᴘᴏᴜɴᴅ ᴅᴇᴛᴇʀᴍɪɴᴇs ᴛʜᴇ ᴘʜʏsɪᴄᴀʟ ᴘʀᴏᴘᴇʀᴛɪᴇs ᴏғ ᴛʜᴀᴛ ᴄᴏᴍᴘᴏᴜɴᴅ. ... ᴘᴏʟʏᴍᴏʀᴘʜɪsᴍ ᴍᴇᴀɴs ᴛʜᴇ ᴇxɪsᴛᴇɴᴄᴇ ᴏғ ᴀ ᴄᴏᴍᴘᴏᴜɴᴅ ɪɴ ᴍᴏʀᴇ ᴛʜᴀɴ ᴏɴᴇ ᴄʀʏsᴛᴀʟʟɪɴᴇ ғᴏʀᴍ. ɪsᴏᴍᴏʀᴘʜɪsᴍ ɪs ᴛʜᴇ ᴇxɪsᴛᴇɴᴄᴇ ᴏғ ᴛᴡᴏ ᴏʀ ᴍᴏʀᴇ ᴄᴏᴍᴘᴏᴜɴᴅs ʜᴀᴠɪɴɢ ᴛʜᴇ sᴀᴍᴇ ᴍᴏʀᴘʜᴏʟᴏɢʏ.
ɪsᴏᴍᴏʀᴘʜɪsᴍ ɪs ᴀ ᴠᴇʀʏ ɢᴇɴᴇʀᴀʟ ᴄᴏɴᴄᴇᴘᴛ ᴛʜᴀᴛ ᴀᴘᴘᴇᴀʀs ɪɴ sᴇᴠᴇʀᴀʟ ᴀʀᴇᴀs ᴏғ ᴍᴀᴛʜᴇᴍᴀᴛɪᴄs. ᴛʜᴇ ᴡᴏʀᴅ ᴅᴇʀɪᴠᴇs ғʀᴏᴍ ᴛʜᴇ ɢʀᴇᴇᴋ ɪsᴏ, ᴍᴇᴀɴɪɴɢ "ᴇϙᴜᴀʟ," ᴀɴᴅ ᴍᴏʀᴘʜᴏsɪs, ᴍᴇᴀɴɪɴɢ "ᴛᴏ ғᴏʀᴍ" ᴏʀ "ᴛᴏ sʜᴀᴘᴇ." ғᴏʀᴍᴀʟʟʏ, ᴀɴ ɪsᴏᴍᴏʀᴘʜɪsᴍ ɪs ʙɪᴊᴇᴄᴛɪᴠᴇ ᴍᴏʀᴘʜɪsᴍ. ɪɴғᴏʀᴍᴀʟʟʏ, ᴀɴ ɪsᴏᴍᴏʀᴘʜɪsᴍ ɪs ᴀ ᴍᴀᴘ ᴛʜᴀᴛ ᴘʀᴇsᴇʀᴠᴇs sᴇᴛs ᴀɴᴅ ʀᴇʟᴀᴛɪᴏɴs ᴀᴍᴏɴɢ ᴇʟᴇᴍᴇɴᴛs.
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