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Explore Biquadratic through 3 example sentences from English, with an explanation of the meaning and related words like number or polynomial. Ideal for language learners, writers and word enthusiasts.

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Biquadratic in a sentence

Biquadratic meaning

Of a polynomial expression, involving only the zeroth, second, and fourth powers of a variable, as x⁴ + 3x² + 2. Sometimes extended to any expression involving the biquadrate or fourth power (but no higher powers), as x⁴ − 4x³ + 3x² − x + 1.

Synonyms of Biquadratic

number polynomial quartic polynomial biquadratic polynomial equation biquadratic equation fourth power quartic biquadrate multinomial

Related words

Other words often associated with Biquadratic or its synonyms:

function equalisation position amount performance equivalence routine equalization figure status bit equality

Using Biquadratic

  • The main meaning on this page is: Of a polynomial expression, involving only the zeroth, second, and fourth powers of a variable, as x⁴ + 3x² + 2. Sometimes extended to any expression involving the biquadrate or fourth power (but no higher powers), as x⁴ − 4x³ + 3x² − x + 1.
  • Useful related words include: number, polynomial, quartic polynomial, biquadratic polynomial.
  • In the example corpus, biquadratic often appears in combinations such as: and biquadratic.

Context around Biquadratic

  • Average sentence length in these examples: 29.3 words
  • Position in the sentence: 0 start, 1 middle, 2 end
  • Sentence types: 3 statements, 0 questions, 0 exclamations

Often after:

problems 1× cases 1× reciprocity 1×

Sentence patterns with Biquadratic

These short patterns come directly from the example sentences and show how the word is often embedded:

cubic and biquadratic cases as 1× cubic and biquadratic problems the 1× investigations into biquadratic reciprocity and 1×

Sentence openings and endings

Common sentence openings:

for a memoir 1× kenneth ireland and 1× the german edition 1×

Common sentence endings:

and unpublished notes 1× cases as well 1× the steiner prize 1×

Words around Biquadratic

Just before it in the word index:

biqa 4 bipyridine 2 bipyramids 8 bipyramid 5 bips 2 biproducts 4

Just after it in the word index:

biquaternions 2 bir 70 bira 9 birac 2 biracial 50 biradari 3

Similar in corpus frequency:

aaaaand 5 aaah 5 aacl 5 aak 5 aapke 5 aarav 5

Corpus analysis for Biquadratic

  • In this selection, "biquadratic" usually appears near the end of the sentence. The average example has 29.3 words, and this corpus slice is mostly made up of statements.
  • Around the word, problems, cases and reciprocity stand out and add context to how "biquadratic" is used.
  • Recognizable usage signals include cubic and biquadratic cases as and cubic and biquadratic problems the. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "biquadratic" sits close to words such as aaaaand, aaah and aacl, which helps place it inside the broader word index.

Example types with biquadratic

The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:

Short example sentences

For a memoir on "Certain cubic and biquadratic problems" the Royal Academy of Sciences of Berlin awarded him the Steiner prize. (21 words)

Kenneth Ireland and Michael Rosen 's A Classical Introduction to Modern Number Theory also has many proofs of quadratic reciprocity (and many exercises), and covers the cubic and biquadratic cases as well. (32 words)

The German edition includes all of Gauss's papers on number theory: all the proofs of quadratic reciprocity, the determination of the sign of the Gauss sum, the investigations into biquadratic reciprocity, and unpublished notes. (35 words)

Longer example sentences

The German edition includes all of Gauss's papers on number theory: all the proofs of quadratic reciprocity, the determination of the sign of the Gauss sum, the investigations into biquadratic reciprocity, and unpublished notes. (35 words)

Kenneth Ireland and Michael Rosen 's A Classical Introduction to Modern Number Theory also has many proofs of quadratic reciprocity (and many exercises), and covers the cubic and biquadratic cases as well. (32 words)

For a memoir on "Certain cubic and biquadratic problems" the Royal Academy of Sciences of Berlin awarded him the Steiner prize. (21 words)

Example sentences (3)

For a memoir on "Certain cubic and biquadratic problems" the Royal Academy of Sciences of Berlin awarded him the Steiner prize.

Kenneth Ireland and Michael Rosen 's A Classical Introduction to Modern Number Theory also has many proofs of quadratic reciprocity (and many exercises), and covers the cubic and biquadratic cases as well.

The German edition includes all of Gauss's papers on number theory: all the proofs of quadratic reciprocity, the determination of the sign of the Gauss sum, the investigations into biquadratic reciprocity, and unpublished notes.

Common combinations with biquadratic

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "biquadratic" in a sentence?
An example: "For a memoir on "Certain cubic and biquadratic problems" the Royal Academy of Sciences of Berlin awarded him the Steiner prize." This page contains 3 example sentences with the word "biquadratic" from authentic English texts.
What does "biquadratic" mean?
Biquadratic means: Of a polynomial expression, involving only the zeroth, second, and fourth powers of a variable, as x⁴ + 3x² + 2. Sometimes extended to any expression involving the biquadrate or fourth power (but no higher powers), as x⁴ − 4x³ + 3x² − x + 1.
What are synonyms of "biquadratic"?
Common synonyms of "biquadratic" include: number, polynomial, quartic polynomial, biquadratic polynomial, equation, biquadratic equation, fourth power, quartic. Plus 2 more synonyms.
How many example sentences with "biquadratic" are there?
Voorbeeldzinnen.info contains 3 example sentences with "biquadratic", drawn from a database of millions of English sentences.