The difference between Arbitrary and Rigorous
When used as adjectives, arbitrary means based on individual discretion or judgment, whereas rigorous means showing, causing, or favoring rigour.
Arbitrary is also noun with the meaning: anything arbitrary, such as an arithmetical value or a fee.
check bellow for the other definitions of Arbitrary and Rigorous
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Arbitrary as an adjective (usually, of a decision):
Based on individual discretion or judgment; not based on any objective distinction, perhaps even made at random.
Examples:
"Benjamin Franklin's designation of "positive" and "negative" to different charges was arbitrary."
"The decision to use 18 years as the legal age of adulthood was arbitrary, as both age 17 and 19 were reasonable alternatives."
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Arbitrary as an adjective:
Determined by impulse rather than reason; heavy-handed.
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Arbitrary as an adjective (mathematics):
Any, out of all that are possible.
Examples:
"The equation is true for an arbitrary value of x."
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Arbitrary as an adjective:
Determined by independent arbiter.
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Arbitrary as an adjective (linguistics):
Not representative or symbolic; not iconic.
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Arbitrary as a noun:
Anything arbitrary, such as an arithmetical value or a fee.
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Rigorous as an adjective:
Showing, causing, or favoring rigour; scrupulously accurate or strict; thorough.
Examples:
"a rigorous officer of justice"
"a rigorous execution of law"
"a rigorous inspection"
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Rigorous as an adjective:
Severe; intense.
Examples:
" a rigorous winter."