"Eighteen" Natural Recordings by Native Speakers
Eighteen is a number that comes after seventeen and before nineteen. It is the age of majority in some countries, indicating that a person is considered an adult and has full legal rights and responsibilities. It can also refer to a period of time, such as the late teens, or used as a quantity, as in "eighteen people came to the party".
The word "eigen" has several meanings depending on the context. Here are a few common ones:<br><br>1. In mathematics, "eigen" refers to something that remains unchanged after a transformation, such as a vector or a linear transformation. For example, the eigenvalue of a matrix is a scalar that, when multiplied by the matrix, results in a new matrix that is proportional to the original matrix.<br><br>Example sentence: "The eigenvectors of the matrix represent the directions that are unchanged under the transformation."<br><br>2. In physics and chemistry, "eigen" refers to a characteristic property or feature of a system that remains unchanged under certain conditions. For example, the eigenvalue of a quantum mechanical Hamiltonian represents the energy of a system that is unchanged under a particular symmetry operation.<br><br>Example sentence: "The energy eigenstates of the atom represent the possible orientations of the atom that are unchanged under rotation."<br><br>3. In biology, "eigen" can refer to a characteristic or trait that is unchanged under certain conditions, such as environmental factors. For example, the genomic eigenvalue of an organism represents the parts of the genome that are most important for its survival and reproduction.<br><br>Example sentence: "The genomic eigenvalues of the species represent the regions of the genome that are most evolutionarily conserved."<br><br>In general, the word "eigen" refers to something that is intrinsic or fundamental to a system or entity, and remains unchanged under certain transformations or conditions.