How to Use polynomial in a Sentence

polynomial

1 of 2 noun

• The reason for this has to do with the new proof about polynomials.
  — Quanta Magazine, 17 Dec. 2018
• And what could make a polynomial biased in the first place?
  — Quanta Magazine, 9 Nov. 2021
• In math, sometimes a polynomial, like x2 + y2, works the same way.
  — Quanta Magazine, 9 Nov. 2021
• These kinds of polynomials can sometimes be expressed as sums of squares, too.
  — Kevin Hartnett, WIRED, 26 May 2018
• This is just one example of what’s called a quadratic polynomial, in which the variable is raised to the second power.
  — Quanta Magazine, 22 Feb. 2021
• But x³ − 2 is a degree-three polynomial, so () is not constructible.
  — Quanta Magazine, 14 Sep. 2020
• The man addressed me over the cliff of his shoulder—talked down to me in the same condescending way Mister Hughes explained polynomials and hypotenuses.
  — Douglas Stuart, The New Yorker, 6 Jan. 2020
• In the graph of a cubic polynomial like x3 + 1, one end always goes off to negative infinity.
  — Quanta Magazine, 1 Nov. 2021
• To pull the phosphine signal out of a messy data set, the team subtracted the background noise using a high-order polynomial, which means more variables were used to model the data than is typical.
  — Nadia Drake, National Geographic, 23 Oct. 2020
• In the McAllen school district, an eighth-grade math teacher, Sandra Guerra, recently chatted online with six students who were stuck on a problem about polynomials.
  — Cecilia Kang, New York Times, 22 Feb. 2016
• But in the coming weeks, teachers hope to ease students back into the business of learning: graphing polynomials, dissecting Shakespeare, learning the countries of Southeast Asia.
  — The Washington Post, cleveland.com, 27 Feb. 2018
• But this polynomial conveys a lot of information about our problem.
  — Quanta Magazine, 13 Aug. 2019
• Scholze set himself the task of sorting out why this infinite wraparound construction makes so many problems about p-adic numbers and polynomials easier.
  — Quanta Magazine, 28 June 2016
• Quadratic equations are polynomials, meaning strings of math terms.
  — Caroline Delbert, Popular Mechanics, 6 Dec. 2019
• But there are fast algorithms for factoring large polynomials.
  — Quanta Magazine, 17 Dec. 2018
• Consequently, these three rearrangements are considered to be the symmetries of the polynomial.
  — Quanta Magazine, 3 Aug. 2021
• If that additional point fits your polynomial, then the information is correct.
  — Patrick Honner, Quanta Magazine, 23 Jan. 2023
• The search for a cubic polynomial with integer coefficients that has three non-real roots will teach you about the importance of complex conjugates — pairs of complex numbers whose product and sum are always real.
  — Quanta Magazine, 18 Nov. 2020
• The mathematical expression that gives the answer is called a chromatic polynomial.
  — New York Times, 5 July 2022
• For example, these conditions violate the rational root theorem, which says that any rational roots of a polynomial must be a ratio of a factor of the constant term divided by a factor of the leading coefficient.
  — Quanta Magazine, 18 Nov. 2020
• Notice that, as with any polynomial, as x goes to positive or negative infinity — farther to the right or the left, respectively — the function either blows up to infinity or plunges to negative infinity.
  — Quanta Magazine, 1 June 2022
• The polynomial’s coefficients serve as the coordinates that define where the polynomial is located.
  — Quanta Magazine, 26 Sep. 2019
• There are different ways to establish the impossibility of this polynomial.
  — Quanta Magazine, 18 Nov. 2020
• For example, x²-6 is a polynomial with integer coefficients, since 1 and -6 are integers.
  — Dave Linkletter, Popular Mechanics, 22 July 2022
• Akili learned about polynomials, for example, during a Summer Institute.
  — Sonali Kohli, Los Angeles Times, 15 Aug. 2019
• This approximation is called the Taylor polynomial, and provides a simpler model of many complicated real world situations.
  — Eugenia Cheng, WSJ, 21 Apr. 2022
• Similarly, that team reported that high-order polynomial fitting could create multiple spurious spectral lines.
  — Nadia Drake, National Geographic, 23 Oct. 2020
• Those mind-numbing exercises in high school—factoring polynomials, conjugating verbs, memorizing the periodic table—were possibly the opposite: mind-sensitizing.
  — Siddhartha Mukherjee, The New Yorker, 23 Mar. 2017
• The reason for this has to do with the new proof about polynomials.
  — Quanta Magazine, 17 Dec. 2018
• And what could make a polynomial biased in the first place?
  — Quanta Magazine, 9 Nov. 2021

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polynomial

2 of 2 adjective

• Now make a polynomial that takes points on the grid as inputs.
  — Kevin Hartnett, WIRED, 26 May 2018
• On the other hand, the polynomial xy + zw can’t be broken down this way.
  — Quanta Magazine, 9 Nov. 2021
• The first subset is called PLS (polynomial local search).
  — Quanta Magazine, 17 Aug. 2021
• Mathematicians want to know how the roots of a polynomial relate to each other.
  — Quanta Magazine, 14 May 2020
• Picture the graph of a polynomial function as a curve floating above the horizontal axis.
  — Quanta Magazine, 1 Nov. 2021
• If someone comes up with an algorithm that can unknot any knot in what’s called polynomial time, that will put the Unknotting Problem fully to rest.
  — Dave Linkletter, Popular Mechanics, 22 July 2022
• Over the next millennium, algebra evolved from the study of the nature of solutions to polynomial equations to the study of abstract number systems.
  — Emily Riehl, Scientific American, 17 Sep. 2021
• In fact it’s an NP-hard problem, where NP stands for non-deterministic polynomial time.
  — Calum Chace, Forbes, 27 May 2021
• For each window size, the whole polynomial order space from one to window size -1 was investigated.
  — Neuroskeptic, Discover Magazine, 26 Aug. 2018
• For example, the polynomial x2 + xy can be rewritten as the product of two simpler polynomials: x(x + y).
  — Quanta Magazine, 9 Nov. 2021
• The trick, however, is that an SG filter is defined by two parameters: window length and polynomial order.
  — Neuroskeptic, Discover Magazine, 26 Aug. 2018
• In particular, mathematicians often study the roots of these expressions, the values of x that make the polynomial equal zero.
  — Quanta Magazine, 25 May 2021
• That’s the study of geometric objects defined by solutions to polynomial equations.
  — Stephen Ornes, Discover Magazine, 14 Jan. 2019
• One approach to replicate human consciousness into an AGI model would be to treat the brain as a quantum computer to solve problems in polynomial time with brute computing power alone.
  — Naveen Joshi, Forbes, 25 Mar. 2022
• These maps, Jain said, entail something akin to a polynomial calculating machine connected to a system of secret lockers containing the values of the variables.
  — Quanta Magazine, 10 Nov. 2020
• To understand polynomials, mathematicians study their roots, the values of x that make the polynomial equal zero.
  — Quanta Magazine, 21 Apr. 2022
• Shor proposed a polynomial-time quantum algorithm to solve this factoring problem.
  — Francis Sideco, Forbes, 25 Jan. 2023
• Galois groups provide a powerful perspective from which to study polynomial equations.
  — Quanta Magazine, 3 Aug. 2021
• In other cases, modular arithmetic can rule out the possibility that a polynomial equation has any whole-number solutions.
  — Quanta Magazine, 14 Sep. 2021
• Instead He and Côté used a technique called polynomial regression, which represents a more complex statistical model that preserves the original variables.
  — Lydia Denworth, Scientific American, 27 Aug. 2019
• Scenarios like these can often be distilled into polynomial equations.
  — Kevin Hartnett, WIRED, 26 May 2018
• Using a technique called polynomial fitting, the original discovery team looked for phosphine’s spectral line by mathematically removing background noise around the region in the spectrum where phosphine should be.
  — Nadia Drake, National Geographic, 23 Oct. 2020
• Hewlett-Packard used a brilliant digital imaging technique called polynomial texture mapping for enhancing surface details.
  — Tony Freeth, Scientific American, 15 Dec. 2021
• Specifically, critics said there was no evidence supporting the authors’ claims of Schnorr’s algorithm achieving polynomial time, as opposed to the exponential time achieved with classical algorithms.
  — Dan Goodin, Ars Technica, 26 Jan. 2023
• Curiously, Corwin notes that for polynomial equations (or systems of such equations) in multiple variables, no one knows whether an algorithm can be found for determining whether rational solutions exist.
  — Rachel Crowell, Scientific American, 14 Oct. 2021
• That problem focused on finding an algorithm for determining whether, for some system of polynomial equations with integer coefficients, there exists a solution in the integers, Kedlaya notes.
  — Rachel Crowell, Scientific American, 14 Oct. 2021
• Mathematicians believe that this is unsolvable by polynomial-time algorithms in Turing’s framework.
  — Jie Wang, Fortune, 30 Jan. 2023
• The exhibit features a wealth of previously unpublished work: printouts of experiments on polynomial equations, found images such as magazine ads and photographs that reminded Mandelbrot of fractals as well as drawings from other mathematicians.
  — Marissa Fessenden, Scientific American, 21 Dec. 2012
• Instead of asking about integer solutions to polynomial equations, the André-Oort conjecture is about solutions involving far more complicated geometric objects called Shimura varieties.
  — Quanta Magazine, 3 Feb. 2022
• This dilemma translates into a polynomial optimization problem.
  — Quanta Magazine, 1 Nov. 2021

Last Updated: 5 Sep 2024