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second moment

second moment

9.7
The average of the squares of numbers that shows how spread out they are
  • noun
  • Specialized
translation icon : segundo momento
  • This is because the average energy is the second moment of the velocity distribution function.

Examples

  • This compares the first and second moment error statistics resulting from the application of three body composition algorithms.

    Academic text (2006)
  • The second moment in statistics helps us understand the variability of a data set by measuring how far each value deviates from the mean.

  • We want to minimize the normalized second moment or the second moment?

  • We are currently witnessing the second moment of civil society in Africa, which may be dated from 1989.

    Academic text (1992)
  • To ease comparison of estimates and specification tests, the specification of second moments remains unchanged.

    Academic text (2016)
  • The second moment leads to an analysis of state-society relations in the current situation, with an emphasis on patterns of political participation.

    Academic text (1992)
  • The integral in the last expression is known as the second moment of area or moment of inertia of the cross section, and is usually given the symbol I.

    Blog text (26)
  • The above comparison shows that the hydrostatic and corrected Tanita algorithms are for all purposes equivalent in their first and second moments.

    Academic text (2006)
  • In probability theory, the second moment is essential for analyzing the distribution's spread and determining its risk factors.

  • Calculating the second moment allows researchers to quantify the dispersion of experimental measurements around the expected value.

Surface Forms

second moment singular

Morphology

2nd + moment

The term is fully compositional: 'second' specifies the order (power two) and 'moment' in the statistical sense denotes the expectation of a variable's power, so together they denote the expected value of the square. This numeric-order + technical-noun pattern is regular (and mirrored across languages), so a learner who knows the statistical senses of both constituents can derive the meaning directly.

Etymology

The term second moment comes from the idea of a moment as a weight times distance, with second meaning we square the distance. Imagine points far from zero: squaring their distance makes their effect much larger, so the second moment tells us how 'spread out' the values are.