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  2. Johnson's parabolic formula - Wikipedia

    en.wikipedia.org/wiki/Johnson's_parabolic_formula

    The slenderness ratio is an indicator of the specimen's resistance to bending and buckling, due to its length and cross section. If the slenderness ratio is less than the critical slenderness ratio, the column is considered to be a short column. In these cases, the Johnson parabola is more applicable than the Euler formula. [5]

  3. pandas (software) - Wikipedia

    en.wikipedia.org/wiki/Pandas_(software)

    However, if data is a DataFrame, then data['a'] returns all values in the column(s) named a. To avoid this ambiguity, Pandas supports the syntax data.loc['a'] as an alternative way to filter using the index. Pandas also supports the syntax data.iloc[n], which always takes an integer n and returns the nth value, counting from 0. This allows a ...

  4. Buckling - Wikipedia

    en.wikipedia.org/wiki/Buckling

    A short steel column is one whose slenderness ratio does not exceed 50; an intermediate length steel column has a slenderness ratio ranging from about 50 to 200, and its behavior is dominated by the strength limit of the material, while a long steel column may be assumed to have a slenderness ratio greater than 200 and its behavior is dominated ...

  5. Length contraction - Wikipedia

    en.wikipedia.org/wiki/Length_contraction

    Length contraction is the phenomenon that a moving object's length is measured to be shorter than its proper length, which is the length as measured in the object's own rest frame. [1] It is also known as Lorentz contraction or Lorentz–FitzGerald contraction (after Hendrik Lorentz and George Francis FitzGerald ) and is usually only noticeable ...

  6. Line length - Wikipedia

    en.wikipedia.org/wiki/Line_length

    The matrix is used by locating the number closest to the previously calculated LCA on the left column of the matrix and then scanning across the columns the number of characters that one would like to set in the text line. Once the number is located, the top row of the selected column will indicate the ideal line length. [13]

  7. Pascal's triangle - Wikipedia

    en.wikipedia.org/wiki/Pascal's_triangle

    In mathematics, Pascal's triangle is an infinite triangular array of the binomial coefficients which play a crucial role in probability theory, combinatorics, and algebra.In much of the Western world, it is named after the French mathematician Blaise Pascal, although other mathematicians studied it centuries before him in Persia, [1] India, [2] China, Germany, and Italy.

  8. Euclidean vector - Wikipedia

    en.wikipedia.org/wiki/Euclidean_vector

    A unit vector is any vector with a length of one; normally unit vectors are used simply to indicate direction. A vector of arbitrary length can be divided by its length to create a unit vector. [14] This is known as normalizing a vector. A unit vector is often indicated with a hat as in â.

  9. Word list 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.