algebraically closed field

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noun Mathematics.

a field in which every polynomial equation with coefficients that are elements of the field has at least one root in the field, as the field of complex numbers.

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Words nearby algebraically closed field

Algaroth powder, algarroba, Algarve, algebra, algebraic, algebraically closed field, algebraic equation, algebraic expression, algebraic extension, algebraic function, algebraic geometry

How to use algebraically closed field in a sentence

The eating disorder field remains divided over the potential efficacy of such measures.
How Skinny Is Too Skinny? Israel Bans ‘Underweight’ Models|Carrie Arnold|January 8, 2015|DAILY BEAST
He closed his eyes, imagining the virgins, imagining away the pain in his head and groin.
Powerful Congressman Writes About ‘Fleshy Breasts’|Asawin Suebsaeng|January 7, 2015|DAILY BEAST
“He was a brave field commander and an expert in intelligence, and in organizing popular and tribal forces,” said the eulogist.
What an Iranian Funeral Tells Us About the Wars in Iraq|IranWire|January 6, 2015|DAILY BEAST
Closed courthouses, rogue clerks, and misleading statements from the attorney general as Florida welcomes same-sex marriage.
The Back Alley, Low Blow-Ridden Fight to Stop Gay Marriage in Florida Is Finally Over|Jay Michaelson|January 5, 2015|DAILY BEAST

I wish I could be writing to you under better circumstances, but unfortunately those avenues have closed up.
Dear Leelah, We Will Fight On For You: A Letter to a Dead Trans Teen|Parker Molloy|January 1, 2015|DAILY BEAST
He distinguished himself in several campaigns, especially in the Peninsular war, and was raised to the rank of field marshal.
The Every Day Book of History and Chronology|Joel Munsell
We had six field-pieces, but we only took four, harnessed wit twice the usual number of horses.
Blackwood's Edinburgh Magazine, No. CCCXXXIX. January, 1844. Vol. LV.|Various
There were two battalions, together about a thousand men; and they brought a field-piece with them.
Blackwood's Edinburgh Magazine, No. CCCXXXIX. January, 1844. Vol. LV.|Various
The reveillée of the sleeping Mexicans was the discharge of our two field-pieces loaded with canister.
Blackwood's Edinburgh Magazine, No. CCCXXXIX. January, 1844. Vol. LV.|Various
Then the enemy's howitzers and field guns had it all their own way, forcing attack to yield a lot of ground.
Gallipoli Diary, Volume I|Ian Hamilton