"Determinants" Pronounce,Meaning And Examples
"Determinants" Natural Recordings by Native Speakers
"Determinants" Meaning
In mathematics, a determinant is a scalar value that can be calculated from the elements of a square matrix. It characterizes some fundamental properties of a matrix, such as invertibility, solvability of systems of linear equations, and stability of dynamical systems. The determinant is denoted by the vertical bars (| |) around the matrix: det(A) |A|.
In more detail, the determinant has the following properties:
1. The determinant of a square matrix is a single value (a scalar).
2. The determinant is equal to zero if and only if the matrix is singular (non-invertible).
3. The determinant is negative if the matrix is orientation-reversing (i.e., changes the orientation of a polygon).
4. The determinant is positive if the matrix is orientation-preserving (i.e., preserves the orientation of a polygon).
5. The determinant of a product of two matrices is equal to the product of their determinants.
In English, the word "determinant" can also refer to something that causes or is responsible for something else. For example: "The teacher's strict rules were a determinant factor in the students' poor performance."
"Determinants" Examples
Usage Examples of "Determinants"
1. In Mathematics
The determinant of a matrix is a scalar value that can be used to characterize certain properties of the matrix, such as invertibility or solvability of systems of linear equations.2. In Sociology
In the context of social inequality, determinants of poverty refer to the various factors that contribute to the state of poverty, such as lack of education, unemployment, or poor healthcare.3. In Biology
A determinant of a gene is a genetic sequence that regulates the expression of the gene, often by binding to specific proteins or other molecules.4. In Medicine
In epidemiology, determinants of disease refer to the underlying causes or factors that contribute to the development and spread of a disease.5. In Education
In educational research, determinants of student achievement refer to the various factors that influence a student's academic performance, such as socioeconomic status, parental involvement, or access to educational resources.Note: The word "determinants" can have different meanings depending on the context in which it is used.
"Determinants" Similar Words
Deteriorative
Deteriorative refers to something that causes deterioration or decline in quality, value, or condition. It can also describe something that becomes worse or deteriorates over time.
Determent
Deterrent can refer to something that prevents something from happening or obstructs its occurrence. It can also refer to a person who avoids or is unwilling to do something, often because of fear or reluctance.
Determents
Determinability
Determinability refers to the quality or state of being determinable, which means being able to be measured, calculated, or ascertained exactly. In other words, it describes the extent to which something can be precisely identified, quantified, or predicted. Determinability is often used in fields such as physics, mathematics, and engineering where precise measurements and calculations are crucial for achieving accurate results or making informed decisions.
Determinable
Determinably
Determinably refers to something that is predictable or certain. It can also refer to something that is decisive or final in its decision-making or conclusion. In a sense, it means being able to make a certain determination or prediction about something, and having a clear understanding of the outcome.
Determinacy
Determinacy refers to the state of being definite or precise in outcome, result, or decision. It implies a sense of clarity, clarity, and predictability, where the outcome is unambiguous and not open to multiple interpretations. Determinacy can be applied to various aspects, such as determinacy of election outcomes, scientific theories, or mathematical equations, where the answer or result is well-defined and certain. In essence, determinacy conveys a sense of finality, stability, and accuracy.
Determinant
Determinates
I think you meant "determinates".<br><br>Determinates are states or outcomes that are determined by a set of antecedent conditions or determinants. In other words, determinates are the consequences or results of a particular course of events or circumstances. The term is often used in the context of predicting or forecasting outcomes in various fields such as science, engineering, economics, and social sciences.
Determination
Determinations
Determinations refers to a decision or a resolution made after careful thought or consideration. It can also imply a strong determination or perseverance to achieve something.
Determinative
Having a decisive or determining influence; serving to determine or settle something; decisive in character or outcome.
Determinatives
Determinatives are words that indicate the degree or extent of a quality, quantity, or relation. They function as adverbs or short sentences to describe the quantity, extent, or manner of an action.<br><br>Common determinatives include:<br><br> Quantitative determinatives: somewhat, somewhat, rather, quite, extremely, very<br> Intensifiers: extremely, highly, totally, completely, utterly<br> Temporal determinatives: recently, last, just now<br> Causal determinatives: therefore, hence, consequently<br> Contrastive determinatives: however, nevertheless, on the other hand<br><br>Determinatives are used to soften, intensify, emphasize, or provide more information about the verb or its subject.
Determinator
A determinator is someone or something that is decisive and takes action to achieve a goal, often in a persistent and unwavering manner.