Background for radical

radical

/ˈɹædɪkəl/

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noun

(historical: 19th-century Britain) A member of the most progressive wing of the Liberal Party; someone favouring social reform (but generally stopping short of socialism).

Examples :

"The radical proposed a new school policy to improve student access to resources. "

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noun

(historical: early 20th-century France) A member of an influential, centrist political party favouring moderate social reform, a republican constitution, and secular politics.

Examples :

"The radical, a key figure in the French Socialist party, advocated for gradual changes in education and healthcare. "

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noun

A person with radical opinions.

Examples :

"The radical in our class argued for a complete overhaul of the school's dress code. "

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noun

A root (of a number or quantity).

Examples :

"The radical of 16 is 4. "

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noun

In logographic writing systems such as the Chinese writing system, the portion of a character (if any) that provides an indication of its meaning, as opposed to phonetic.

Examples :

"The radical for the Chinese character for "tree" indicates the general idea of a plant. "

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noun

In Semitic languages, any one of the set of consonants (typically three) that make up a root.

Examples :

"The Arabic word for "house" has the radical consonants "b-y-t". "

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noun

A group of atoms, joined by covalent bonds, that take part in reactions as a single unit.

Examples :

"The scientist studied the radical that formed when the chemical reacted with water. "

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noun

A free radical.

Examples :

"The scientist explained that the presence of free radicals in the body can damage cells. "

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noun

(commutative algebra, of an ideal) Given an ideal I in a commutative ring R, another ideal, denoted Rad(I) or \sqrt{I}, such that an element x ∈ R is in Rad(I) if, for some positive integer n, xn ∈ I; equivalently, the intersection of all prime ideals containing I.

Examples :

"The radical of the set of problems assigned in math class is the set of all problems that could be solved if we repeated the key steps a certain number of times. "

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noun

(of a ring) Given a ring R, an ideal containing elements of R that share a property considered, in some sense, "not good".

Examples :

"The radical of the set of all possible test scores in math class contained the scores that were below a failing grade. "

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noun

(of a module) The intersection of maximal submodules of a given module.

Examples :

"The radical of the student group's opinions is the core belief in environmental protection. "

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noun

The product of the distinct prime factors of a given positive integer.

Examples :

"The radical of the number 12 is 6, because the prime factors of 12 are 2 and 3, and their product is 6. "

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adjective

Favoring fundamental change, or change at the root cause of a matter.

Examples :

"His beliefs are radical."

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adjective

Pertaining to a root (of a plant).

Examples :

"The botanist carefully examined the radical of the young seedling. "

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adjective

Pertaining to the basic or intrinsic nature of something.

Examples :

"The radical change in the school's curriculum reflected a deeper understanding of student needs. "

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adjective

Thoroughgoing; far-reaching.

Examples :

"The spread of the cancer required radical surgery, and the entire organ was removed."

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adjective

Of or pertaining to the root of a word.

Examples :

"The radical of the word "unhappiness" is "happy." "

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adjective

(of a sound) Produced using the root of the tongue.

Examples :

"The singer's radical vocalizations were difficult to understand because she used the root of her tongue to produce the sound. "

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adjective

Involving free radicals.

Examples :

"The scientist studied the radical changes in the cells caused by the new chemical compound. "

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adjective

Relating to a radix or mathematical root.

Examples :

"a radical quantity; a radical sign"

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adjective

(1980s & 1990s) Excellent; awesome.

Examples :

"That was a radical jump!"

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