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  2. Summation by parts - Wikipedia

    en.wikipedia.org/wiki/Summation_by_parts

    The formula for an integration by parts is () ′ = [() ()] ′ (). Beside the boundary conditions , we notice that the first integral contains two multiplied functions, one which is integrated in the final integral ( g ′ {\displaystyle g'} becomes g {\displaystyle g} ) and one which is differentiated ( f {\displaystyle f} becomes f ...

  3. F-100 and F-75 (foods) - Wikipedia

    en.wikipedia.org/wiki/F-100_and_F-75_(foods)

    The formula is used in therapeutic feeding centers where children are hospitalized for treatment. [1] F-75 is considered the "starter" formula, and F-100 the "catch-up" formula. [ 2 ] The designations mean that the product contains respectively 75 and 100 kcals per 100 ml. F-75 provides 75 kcal and 0.9 g protein per 100 mL, while F-100 provides ...

  4. Trapezoidal rule - Wikipedia

    en.wikipedia.org/wiki/Trapezoidal_rule

    A similar effect is available for peak-like functions, such as Gaussian, Exponentially modified Gaussian and other functions with derivatives at integration limits that can be neglected. [10] The evaluation of the full integral of a Gaussian function by trapezoidal rule with 1% accuracy can be made using just 4 points. [11]

  5. Formula - Wikipedia

    en.wikipedia.org/wiki/Formula

    A molecular formula enumerates the number of atoms to reflect those in the molecule, so that the molecular formula for glucose is C 6 H 12 O 6 rather than the glucose empirical formula, which is CH 2 O. Except for the very simple substances, molecular chemical formulas generally lack needed structural information, and might even be ambiguous in ...

  6. Fundamental theorem of Riemannian geometry - Wikipedia

    en.wikipedia.org/wiki/Fundamental_theorem_of...

    This proves the uniqueness of a torsion-free and metric-compatible condition; that is, any such connection must be given by the above formula. To prove the existence, it must be checked that the above formula defines a connection that is torsion-free and metric-compatible. This can be done directly.

  7. Fibonacci sequence - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_sequence

    A similar argument, grouping the sums by the position of the first 1 rather than the first 2 gives two more identities: = + = and = = + In words, the sum of the first Fibonacci numbers with odd index up to F 2 n − 1 {\displaystyle F_{2n-1}} is the (2 n ) -th Fibonacci number, and the sum of the first Fibonacci numbers with even index up to F ...

  8. ‘Blueprint Planet’ by Huffington Post

    testkitchen.huffingtonpost.com/blueprint

    That will require bold action from political and corporate leaders. But individuals like you and me are perhaps more empowered to make a difference than ever before. Let's start with creating more efficient traffic. Reduce the number of cars on the road, and we'll have less emissions. Ride-hailing apps like Uber and Lyft are a window into our ...

  9. Homologous series - Wikipedia

    en.wikipedia.org/wiki/Homologous_series

    The name "homologous series" is also often used for any collection of compounds that have similar structures or include the same functional group, such as the general alkanes (straight and branched), the alkenes (olefins), the carbohydrates, etc. However, if the members cannot be arranged in a linear order by a single parameter, the collection ...