Orthogonality in a sentence
(1) Orthogonality plays a crucial role in signal processing.
(2) The concept of orthogonality is important in vector spaces.
(3) The concept of orthogonality is fundamental in linear algebra.
(4) Orthogonality is a key concept in the study of wave propagation.
(5) Orthogonality is a key concept in the design of neural networks.
(6) Orthogonality is a key concept in the field of computer graphics.
(7) Orthogonality is a key concept in the study of wave interference.
(8) The orthogonality of a wave function is essential in quantum physics.
(9) The orthogonality of a set of harmonics is important in music theory.
(10) The concept of orthogonality is used extensively in quantum mechanics.
Orthogonality sentence
(11) Orthogonality is a key principle in the design of efficient algorithms.
(12) Orthogonality allows for independent variables in statistical analysis.
(13) The orthogonality of a set of filters is important in image processing.
(14) The orthogonality of a set of filters is important in audio processing.
(15) The orthogonality of two vectors can be determined by their dot product.
(16) Orthogonality is a property that allows for efficient matrix operations.
(17) The concept of orthogonality is crucial in understanding linear algebra.
(18) The orthogonality of a set of functions is important in Fourier analysis.
(19) Orthogonality is a fundamental principle in the design of antenna arrays.
(20) The two vectors are orthogonal to each other, demonstrating orthogonality.
Orthogonality make sentence
(21) The orthogonality of a matrix can be tested using the Gram-Schmidt process.
(22) Orthogonality is a property that ensures independence in linear regression.
(23) The orthogonality of a set of polynomials is important in numerical analysis.
(24) The orthogonality of a set of waveforms is crucial in wireless communication.
(25) The unitarily equivalent transformations preserve the orthogonality of vectors.
(26) The orthogonality of a set of eigenvectors is crucial in diagonalizing a matrix.
(27) The unitarily equivalent transformations preserve the orthogonality of subspaces.
(28) The orthogonality of a set of vectors is crucial in solving systems of equations.
(29) Orthogonality is a property that allows for efficient compression in data storage.
(30) The orthogonality of the eigenfunctions is used in solving differential equations.
Sentence of orthogonality
(31) The orthogonality of a set of basis vectors is important in linear transformations.
(32) The concept of orthogonality is also important in quantum mechanics and wave mechanics.
(33) Orthogonality is a fundamental principle in the design of digital communication systems.
(34) Orthogonality is a property that allows for efficient error correction in coding theory.
(35) The Fourier series expansion is based on the orthogonality of sine and cosine functions.
(36) The orthogonality of the components in a system can affect its stability and performance.
(37) Orthogonality is a principle that ensures accurate measurements in scientific experiments.
(38) The principle of orthogonality is used in signal processing to separate different signals.
(39) The orthogonality of the two lines allowed for easy calculation of their intersection point.
(40) The orthogonality of the basis vectors is necessary for constructing a valid coordinate system.
(41) The orthogonality of a set of basis functions is crucial in solving partial differential equations.
(42) The principle of orthogonality is also applied in computer graphics to create 3D models and animations.
(43) The adjoint of a linear map between inner product spaces is used to define the concept of orthogonality.
(44) The orthogonality of the wave functions determines the probability of finding a particle in a certain location.
(45) The concept of orthogonal projection is closely related to the idea of orthogonality, which refers to perpendicularity or independence.
Orthogonality meaning
Orthogonality is a term commonly used in mathematics, physics, and computer science to describe the relationship between two entities that are independent or unrelated to each other. In this article, we will explore various tips on how to use the word "orthogonality" or the phrase "orthogonal to" in sentences effectively.
1. Understand the meaning: Before using the word "orthogonality" or the phrase "orthogonal to," it is crucial to have a clear understanding of its meaning. Orthogonality refers to the property of being perpendicular or independent. It implies that two things are unrelated or do not affect each other.
2. Context matters: When using the word "orthogonality," consider the context in which it is being used. Determine whether you are referring to mathematical concepts, physical phenomena, or computer science principles. This will help you frame your sentence appropriately.
3. Mathematical usage: In mathematics, orthogonality often refers to the perpendicularity of two lines or vectors.
For example, you can use the word in a sentence like, "The vectors A and B are orthogonal to each other." This implies that the dot product of A and B is zero, indicating their independence.
4. Physical applications: In physics, orthogonality can be used to describe the independence of different physical quantities. For instance, you can say, "The electric and magnetic fields are orthogonal to each other in an electromagnetic wave." This means that the electric and magnetic fields are perpendicular and do not influence each other.
5. Computer science usage: In computer science, orthogonality refers to the independence of different components or features in a system.
For example, you can say, "The programming language has a high degree of orthogonality, allowing developers to combine features without restrictions." This implies that the language's components can be used independently and combined in various ways.
6. Be precise: When using the word "orthogonality" or the phrase "orthogonal to," strive for precision in your sentence. Clearly state what is orthogonal to what and why. This will help convey your message accurately.
7. Use examples: To enhance understanding, provide examples when using the word "orthogonality" or the phrase "orthogonal to." This will make it easier for readers or listeners to grasp the concept. For instance, you can say, "In a right-angled triangle, the legs are orthogonal to each other."
8. Avoid overusing: While the term "orthogonality" is useful in specific contexts, try not to overuse it. Overusing technical terms can make your writing or speech difficult to comprehend for those unfamiliar with the concept. Use it judiciously and provide explanations when necessary.
9. Seek clarity: If you are unsure about using the word "orthogonality" or the phrase "orthogonal to" correctly, seek clarification. Consult reliable sources, such as dictionaries or subject-specific references, to ensure accurate usage.
10. Practice: Like any other skill, using technical terms effectively requires practice. Engage in writing exercises or discussions where you can incorporate the word "orthogonality" or the phrase "orthogonal to" to improve your proficiency.
In conclusion, the word "orthogonality" and the phrase "orthogonal to" are valuable terms used in mathematics, physics, and computer science. By understanding their meaning, considering the context, and using them precisely, you can effectively incorporate these terms into your sentences. Remember to provide examples, seek clarity, and practice to enhance your usage of these technical terms.
The word usage examples above have been gathered from various sources to reflect current and historical usage of the word Orthogonality. They do not represent the opinions of TranslateEN.com.