"Eighteenth" Natural Recordings by Native Speakers
The word "eighteenth" is a superlative adjective that means being at the point of completeness of a set or series of items, in this case, being the 18th in a sequence or ranking. It can also refer to something that has been divided into 18 equal parts or groups.
Usage Examples for "Eighteenth"
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.
An eigenfunction is a function that, when acted upon by a linear operator, is scaled or transformed. In other words, it is a function that is unchanged except for a scaling or change of sign when multiplied by a constant, which is the eigenvalue of the linear operator.
Eigengrau is a term used to describe the grey or grayish color that the brain typically perceives when the eyes are closed in a dark or dimly lit environment. It is also referred to as the "independent grey" or "native gray".
An eigenvalue is a scalar that characterizes the amount of change applied to a linear transformation. In simple terms, it is a value that is associated with a square matrix, and it represents how the matrix affects the inputted data.<br><br>When a matrix A is applied to a vector v, the resulting vector Av is scaled by some factor. This factor is the eigenvalue of the matrix A corresponding to the eigenvector v. In other words, if v is an eigenvector of A with eigenvalue λ, then Av λv.<br><br>Eigenvalues are used extensively in many areas of mathematics, science, and engineering. Some of the applications include linear algebra, differential equations, Markov chains, and signal processing.<br><br>For instance, in physics, eigenvalues can be used to describe the energy levels of a system. In computer science, eigenvalues can be used for clustering and dimensionality reduction.<br><br>In summary, eigenvalues are a fundamental concept in linear algebra that help us understand how matrices transform vectors, and they have numerous applications in various fields.
The Eiger is a major mountain in the Bernese Alps, Switzerland, and is one of the most iconic and daunting climbs in the world. It is known for its treacherous north face, which is one of the most difficult technical climbs in mountaineering. The Eiger is often referred to as the "Eiger North Face" or simply "The Eiger" and is considered a Mecca for serious mountaineers.
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 "eighth" is an adjective or adverb that refers to the number 8 or a place, position, or time that is eight in a series or sequence. It can be used to describe something that comes after the seventh item or event and before the ninth. For example:<br><br> "The eighth team to qualify for the tournament is France."<br> "The eighth grade students went on a field trip to the museum."
The word "eighties" refers to the decade from 1980 to 1989. It can also be used to describe a style, fashion, or culture that originated or was popular during this time period. For example: "The eighties were a time of great musical innovation, with the rise of genres like punk, new wave, and hip-hop."
Eightieth refers to the ordinal number that comes immediately after the seventy-ninth and before the eighty-first. It represents a ranking or position in a sequence.
The numeral "eighty" is equal to 80, which is a number in the decimal system. It can be used to describe a quantity or amount, such as "I have eighty books on my shelf" or "The company had eighty employees last year".
I believe the word you meant to type is "eigen".<br><br>Eigen is a German word that has been borrowed into English. It refers to a unique characteristic or feature that is inherent or essential to something or someone. In the context of mathematics, an eigenvalue is a scalar that corresponds to a non-zero eigenvector of a linear transformation.<br><br>In a broader sense, the term "eigen" can also be used to describe a unique or defining quality that is characteristic of an individual, a group, or a culture. For example, "Swedishness" could be seen as the eigen of a Swedish person, or "being a New Yorker" could be seen as the eigen of a person from New York City.<br><br>I hope that helps to provide some context for the word "eigen"!
The word "eikon" comes from the Greek language and means "image" or "icon". In Christian theology, it is used to refer to the image of God in humanity. In iconography, it refers to a representation of a holy person or event. In a broader sense, it can refer to any visual representation or likeness of a person or thing.
The word "eikonal" refers to a mathematical concept in physics, particularly in the study of wave propagation and optics. Specifically, it refers to a surface or a field that satisfies a particular differential equation, known as the eikonal equation. This equation is used to describe the propagation of light or other waves in homogeneous or inhomogeneous media. The eikonal equation is a fundamental equation in optics and is used to determine the wavefront of a light wave or other wave. It is also used in other fields such as acoustics and seismology.