লক্ষ্য করুন: এই এন্ট্রির অনুবাদ বর্তমানে মান পর্যালোচনার অধীনে রয়েছে, তাই কিছু বিষয়বস্তু সাময়িকভাবে শুধুমাত্র ইংরেজিতে প্রদর্শিত হচ্ছে।
এই এন্ট্রিটি এখনও আপনার ভাষায় অনুবাদ করা হয়নি, তাই নিচে মূল লেখাটি দেখানো হচ্ছে।
epsilon
In a linguistic context, this term refers specifically to the fifth letter of the Greek alphabet. It is typically treated as a proper noun when referring to the character itself, though it is often written in lowercase in general text.
In mathematical analysis and calculus, the term carries a specialized pragmatic meaning. It does not represent a specific constant value but rather an arbitrarily small positive number. This usage is almost always paired with the letter delta in the famous epsilon-delta definition of a limit, where it symbolizes a threshold of error or a distance that can be made as small as desired.
Meanings
Examples
The Greek alphabet begins with alpha and continues through epsilon.
I need to memorize the order of the letters including epsilon.
We use epsilon to represent an arbitrarily small positive number.
The proof requires us to choose a specific value for epsilon.
The difference between the two values is less than epsilon.
I wonder if I can simplify this limit using an epsilon delta proof.