Determinant (Noun)
Meaning 1
A square matrix used to solve simultaneous equations.
Classification
Nouns denoting groupings of people or objects.
Examples
- To solve the system of equations, we need to calculate the determinant of the coefficient matrix.
- The determinant of the given matrix is zero, which indicates that the matrix is singular.
- The formula for finding the determinant of a 2x2 matrix is ad - bc.
- We will expand the determinant along the first row to simplify the calculations.
- A non-zero determinant is a necessary and sufficient condition for the matrix to have an inverse.
Meaning 2
The site on the surface of an antigen molecule to which an antibody attaches itself.
Classification
Nouns denoting substances.
Examples
- The determinant on the surface of the virus was recognized by the immune system, triggering a response to eliminate the threat.
- The unique shape and chemical properties of the determinant allowed the antibody to bind specifically to the antigen.
- Researchers identified the determinant on the surface of the bacteria as the key to developing an effective vaccine.
- The determinant on the surface of the tumor cell was targeted by the monoclonal antibody, marking the cell for destruction.
- Understanding the structure and function of the determinant is crucial for developing new treatments for autoimmune diseases.
Synonyms
Hypernyms
Meaning 3
A determining or causal element or factor; "education is an important determinant of one's outlook on life".
Classification
Nouns denoting cognitive processes and contents.
Examples
- A person's socioeconomic status is often a determinant of their access to quality healthcare.
- Research suggests that diet is a major determinant of a person's overall health and well-being.
- Genetics is considered a significant determinant of a person's risk of developing certain diseases.
- A company's ability to innovate is a key determinant of its success in a competitive market.
- Education level is a strong determinant of a person's earning potential and career advancement opportunities.