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  2. List of most-viewed Indian YouTube videos - Wikipedia

    en.wikipedia.org/wiki/List_of_most-viewed_Indian...

    This is a list of the most-watched Indian music videos on YouTube. Phonics Song with Two Words from children's channel ChuChu TV is the most viewed video in India and is the 7th most viewed YouTube video in the world. "Why This Kolaveri Di" become the first Indian music video to cross 100 million views. [1] [2] "Swag Se Swagat" became the first ...

  3. Microsoft Excel - Wikipedia

    en.wikipedia.org/wiki/Microsoft_Excel

    Microsoft Excel is a spreadsheet editor developed by Microsoft for Windows, macOS, Android, iOS and iPadOS.It features calculation or computation capabilities, graphing tools, pivot tables, and a macro programming language called Visual Basic for Applications (VBA).

  4. Riemann sum - Wikipedia

    en.wikipedia.org/wiki/Riemann_sum

    Loosely speaking, a function is Riemann integrable if all Riemann sums converge as the partition "gets finer and finer". While not derived as a Riemann sum, taking the average of the left and right Riemann sums is the trapezoidal rule and gives a trapezoidal sum. It is one of the simplest of a very general way of approximating integrals using ...

  5. Abel's summation formula - Wikipedia

    en.wikipedia.org/wiki/Abel's_summation_formula

    Abel's summation formula can be generalized to the case where is only assumed to be continuous if the integral is interpreted as a Riemann–Stieltjes integral: ∑ x < n ≤ y a n ϕ ( n ) = A ( y ) ϕ ( y ) − A ( x ) ϕ ( x ) − ∫ x y A ( u ) d ϕ ( u ) . {\displaystyle \sum _{x<n\leq y}a_{n}\phi (n)=A(y)\phi (y)-A(x)\phi (x)-\int _{x ...

  6. Karaoke - Wikipedia

    en.wikipedia.org/wiki/Karaoke

    A person singing karaoke in Hong Kong ("Run Away from Home" by Janice Vidal). Karaoke (/ ˌ k ær i ˈ oʊ k i /; [1] Japanese: ⓘ; カラオケ, clipped compound of Japanese kara 空 "empty" and ōkesutora オーケストラ "orchestra") is a type of interactive entertainment system usually offered in clubs and bars, where people sing along to pre-recorded accompaniment using a microphone.

  7. Harmonic series (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Harmonic_series_(mathematics)

    The sum of the series is a random variable whose probability density function is close to for values between and , and decreases to near-zero for values greater than or less than . Intermediate between these ranges, at the values ± 2 {\displaystyle \pm 2} , the probability density is 1 8 − ε {\displaystyle {\tfrac {1}{8}}-\varepsilon } for ...

  8. Harmonic number - Wikipedia

    en.wikipedia.org/wiki/Harmonic_number

    By this construction, the function that defines the harmonic number for complex values is the unique function that simultaneously satisfies (1) H 0 = 0, (2) H x = H x−1 + 1/x for all complex numbers x except the non-positive integers, and (3) lim m→+∞ (H m+x − H m) = 0 for all complex values x.

  9. Song structure - Wikipedia

    en.wikipedia.org/wiki/Song_structure

    Song structure is the arrangement of a song, [1] and is a part of the songwriting process. It is typically sectional, which uses repeating forms in songs.Common piece-level musical forms for vocal music include bar form, 32-bar form, verse–chorus form, ternary form, strophic form, and the 12-bar blues.