homogeneous
/,hɔmə'dʤi:njəs/
Definition
- Adjective:
- Consisting of parts or elements that are all of the same kind; uniform in composition or character: A homogeneous group or substance has members or components that are very similar to each other.
- Of the same kind or nature; essentially alike: Describes things that are not mixed with different types.
Usage
The word "homogeneous" is used to describe a group, mixture, or population where the individual parts are very similar or identical in nature. It is the opposite of "heterogeneous." It is often used in scientific, mathematical, and sociological contexts.
Examples
- Adjective:
- The mixture was stirred until it became completely homogeneous. (The mixture became uniform throughout.)
- The school's student body is not homogeneous; it includes children from many different cultural backgrounds. (The students are not all the same.)
- A homogeneous society shares common values and traditions. (The society is uniform in its characteristics.)
Advanced Usage
- In Mathematics: A homogeneous equation is one where all terms are of the same degree.
- The polynomial
x² + 2xy + y²is homogeneous because each term is of degree 2.
- In Chemistry/Physics: A homogeneous mixture or phase has uniform composition and properties throughout.
- Air is considered a homogeneous mixture of gases.
- "Homogeneous of degree n": A mathematical function where scaling the inputs by a factor scales the output by a power of that factor.
- The function f(x,y)=x²y is homogeneous of degree 3.
Variants and Related Words
- Homogeneity (noun): The quality or state of being homogeneous.
- The homogeneity of the sample made the results reliable.
- Homogenize (verb): To make homogeneous; to blend into a uniform mixture.
- The machine is used to homogenize milk so the cream does not separate.
- Homogenization (noun): The process of making something homogeneous.
Synonyms
- Uniform: Not varying; the same in all parts and at all times.
- Consistent: Acting or done in the same way over time.
- Alike: Similar to each other.
- Unvaried: Not exhibiting variation.
Antonyms
- Heterogeneous: Diverse in character or content; consisting of dissimilar elements.
- Mixed: Consisting of different qualities or elements.
- Varied: Incorporating a number of different types or elements.
Related Phrases/Idioms
- "Homogeneous grouping": In education, the practice of placing students with similar abilities or achievements together in a class.
- The debate continues over the benefits of homogeneous versus heterogeneous grouping in schools.
Adjective
-
all of the same or similar kind or nature
-
a close-knit homogeneous group
-
Khám phá thêm
Các từ liên quan
Từ đồng nghĩa
Từ trái nghĩa
Từ tương tự
Từ gần giống
Từ chứa "homogeneous"
Từ có nhắc đến "homogeneous"
