The difference between Eclectic and Homogeneous
When used as adjectives, eclectic means selecting a mixture of what appears to be best of various doctrines, methods or styles, whereas homogeneous means of the same kind.
Eclectic is also noun with the meaning: someone who selects according to the eclectic method.
check bellow for the other definitions of Eclectic and Homogeneous
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Eclectic as an adjective:
Selecting a mixture of what appears to be best of various doctrines, methods or styles.
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Eclectic as an adjective:
Unrelated and unspecialized; heterogeneous.
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Eclectic as a noun:
Someone who selects according to the eclectic method.
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Homogeneous as an adjective:
Of the same kind; alike, similar.
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Homogeneous as an adjective:
Having the same composition throughout; of uniform make-up.
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Homogeneous as an adjective (chemistry):
in the same state of matter.
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Homogeneous as an adjective (mathematics):
Of which the properties of a smaller set apply to the whole; scalable.
Examples:
"The function <math>f(x,y)=x^2+y^2</math> is homogeneous of degree 2 because <math>f(\alpha x,\alpha y)=\alpha^2 f(x,y)</math>."