"Toeplitz" Pronounce,Meaning And Examples
"Toeplitz" Natural Recordings by Native Speakers
"Toeplitz" Meaning
A Toeplitz matrix is a matrix in which each descending diagonal from left to right is constant. A matrix is said to be a Toeplitz matrix if it satisfies the condition a{ij} a{i, i+j-k} for all elements a_{i, j} where the parameters i and j must be integers, and the parameter k has to be taken to be -1 or a positive number.
"Toeplitz" Examples
Usage Examples of "Toeplitz"
1. Formal Discipline
The mathematician Stephen Cole Kleene worked under the influence of David Hilbert and subsequently made numerous contributions to the subject, in part due to various concepts related to Toeplitz matrices.2. Technical Term
Toeplitz refers to a specific kind of matrix that is used within finite impulse response filters in digital signal processing.3. Academic Context
Toeplitz matrices are sometimes seen in finding the inverse of a banded matrix within a general matrix, and doing so may showcase the impact of Toeplitz on solving various problems.4. Historical Significance
In an analysis of various mathematical operations, the leadership by Otto Toeplitz can be seen as instrumental in the development of the Toeplitz matrix.5. Application in Science
In theoretical modelling in certain fields like engineering and physics, the assumptions of applying Toeplitz make the calculation certain methodological models feasible or even simpler to solve compared to those without this specific method."Toeplitz" Similar Words
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Toehold
A foothold, especially a slight advantage or opportunity that allows someone to start doing something; a small foothold in a new endeavor or situation.
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Toeic
The Test of English for International Communication (TOEIC) is an English language proficiency test designed for non-native English speakers. It is specifically tailored to assess English skills for business environments, allowing test-takers to demonstrate their English proficiency in the workplace.<br><br>The test assesses English skills in two areas:<br><br>1. Listening: evaluates the test-taker's ability to understand spoken English in a business context, including conversations, meetings, and instructions.<br>2. Reading: evaluates the test-taker's ability to understand written English in a business context, including reports, emails, and documents.<br><br>The TOEIC test is widely used by employers to evaluate the English language skills of job applicants and existing employees. It is especially useful for businesses that operate internationally, as it provides a standardized measure of English proficiency that can be used to identify potential candidates for international roles.<br><br>The TOEIC score is reported in a one- to 990-point scale, with higher scores indicating higher levels of English proficiency.
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