multiplicities Antonyms

Meaning of multiplicities

multiplicities

the number of components in a system (such as a multiplet or a group of energy levels), the number of times a root of an equation or zero of a function occurs when there is more than one root or zero, the ratio of the number of infectious particles (as of a bacteriophage) to the number of cells at risk, the quality or state of being multiple or various, the charging of a single criminal act or offense as multiple separate charges or counts of an indictment or information, a great number

multiplicities Sentence Examples

  1. The multiplicities of the eigenvalues determine the number of linearly independent eigenvectors associated with each eigenvalue.
  2. In the context of quantum mechanics, the multiplicities of energy levels indicate the number of degenerate states with the same energy.
  3. The harmonic oscillator possesses non-zero vibrational and rotational multiplicities, leading to a splitting of spectral lines.
  4. The multiplicities of roots in a polynomial equation are essential for determining its factorization.
  5. The multiplicity of a zero in a Taylor expansion represents the order of the singularity at that point.
  6. In particle physics, the multiplicities of hadrons produced in high-energy collisions provide insights into the underlying interactions.
  7. The multiplicities of amino acids in a protein sequence can influence its biological function.
  8. The multiplicities of bands in a spectroscopic signal are often indicative of the symmetry of the molecule under investigation.
  9. The multiplicities of peaks in a mass spectrometry spectrum can reveal the presence of isotopes in a sample.
  10. The study of multiplicities in various mathematical and scientific disciplines has far-reaching applications in areas such as physics, chemistry, and biology.

FAQs About the word multiplicities

the number of components in a system (such as a multiplet or a group of energy levels), the number of times a root of an equation or zero of a function occurs w

loads, deals, lots, chunks, wealths, bundles, tons, rafts, bunches, plenties

traces, grains, drams, glimmers, streaks, scruples, flecks, mouthfuls, ounces, sprinklings

The multiplicities of the eigenvalues determine the number of linearly independent eigenvectors associated with each eigenvalue.

In the context of quantum mechanics, the multiplicities of energy levels indicate the number of degenerate states with the same energy.

The harmonic oscillator possesses non-zero vibrational and rotational multiplicities, leading to a splitting of spectral lines.

The multiplicities of roots in a polynomial equation are essential for determining its factorization.