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deep A result is called "deep" if its proof requires concepts and methods that are advanced beyond the concepts needed to formulate the result. For example, the prime number theorem — originally proved using techniques of complex analysis — was once thought to be a deep result until elementary proofs were found. [1]
The word feeling may refer to any of a number of psychological characteristics of experience, or even to reflect the entire inner life of the individual (see Mood.) As self-contained phenomenal experiences, evoked by sensations and perceptions, feelings can strongly influence the character of a person's subjective reality.
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Drawing up a comprehensive list of words in English is important as a reference when learning a language as it will show the equivalent words you need to learn in the other language to achieve fluency. A big list will constantly show you what words you don't know and what you need to work on and is useful for testing yourself.
Angel numbers are repeating number sequences, often used as guides for deeper spiritual exploration. Ranging from 000 to 999 , each sequence carries its own distinct meaning and energy.
This is a list of articles about prime numbers. A prime number (or prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. By Euclid's theorem, there are an infinite number of prime numbers. Subsets of the prime numbers may be generated with various formulas for primes.
The naming procedure for large numbers is based on taking the number n occurring in 10 3n+3 (short scale) or 10 6n (long scale) and concatenating Latin roots for its units, tens, and hundreds place, together with the suffix -illion. In this way, numbers up to 10 3·999+3 = 10 3000 (short scale) or 10 6·999 = 10 5994 (long scale
The word "reverence" is often used in relationship with religion. This is because religion often stimulates this emotion through recognition of a god , the supernatural , and the ineffable . Like awe , it is an emotion in its own right, and can be felt outside of the realm of religion .