Use ‘polynomial’ in a sentence | ‘polynomial’ example sentences
1- Every real polynomial of odd degree has at least one real number as a root.
2- This polynomial may not fit the training set well, because it has a low capacity.
3- polynomial and coefficients *The second order polynomial is calculated by the following double summation.
4- The degree of a multilinear polynomial is the maximum number of distinct variables occurring in any monomial.
5- For complexity classes larger than P, polynomial-time reductions are commonly used.
6- The rule gives us an upper bound number of positive or negative roots of a polynomial.
7- So, we see that polynomial interpolation overcomes most of the problems of linear interpolation.
8- Molecular algorithms have been reported that solves the cryptograhic problem in a polynomial number of steps.
9- polynomial extrapolation A polynomial curve can be created through the entire known data or just near the end.
10- Cyclic polynomial Hashing by cyclic polynomial Jonathan D. Cohen, Recursive hashing functions for n-grams, ACM Trans. Inf.
11- I. Dinur et al., “Approximating CVP to Within Almost-polynomial Factors is NP-Hard,” Combinatorica 23, no. 2 (2003): 205-243.
12- The famous Nullstellensatz of algebraic geometry translates to the statement that the polynomial ring in finitely many variables over a field is a Hilbert ring.
13- We constructed this table from the left to the right, but now we can continue it from the right to the left down a diagonal in order to compute more values of our polynomial.
14- Moreover, each polynomial is raised to a power equal to its degree.
15- 0x1b corresponds to the irreducible polynomial with the high term eliminated.
16- Hence, we require the list size to be a polynomial in the block length of the code.
17- polynomial comes from the Greek poly, “many” and medieval Latin binomium, ” binomial “.
18- If (a + b) and ab were both algebraic, then this would be a polynomial with algebraic coefficients.
19- He also offered, without proof, a rule to determine the number of imaginary roots of polynomial equations.
20- Behavior of a polynomial function near a root in relation to its multiplicity Let f(x) be a polynomial function.
21- Since p(x) is irreducible, it must divide this product and, therefore, it must also be a first degree polynomial.
22- NC is a subset of P because polylogarithmic parallel computations can be simulated by polynomial-time sequential ones.
23- The Alexander polynomial of the square knot is : which is simply the square of the Alexander polynomial of a trefoil knot.
24- The Conway polynomial for a finite field is chosen so as to be compatible with the Conway polynomials of each of its subfields.
25- Imrich (1998) gives a polynomial time algorithm for recognizing tensor product graphs and finding a factorization of any such graph.
26- For Eulerian posets, it can be more concisely expressed by means of a noncommutative polynomial in two variables called the cd-index.
27- If graph isomorphism is NP-complete, the polynomial time hierarchy collapses to its second level.
28- The polynomial 0, which may be considered to have no terms at all, is called the zero polynomial.
29- Page needed * Numerical smoothing and differentiation this is an application of polynomial fitting.
30- polynomial Time Approximation Schemes for Euclidean Traveling Salesman and other Geometric Problems.
31- Overview The Jenkins-Traub algorithm calculates all of the roots of a polynomial with complex coefficients.
32- Using a curve fitting technique like Gaussian reduction a N-1th degree polynomial interpolation of the function is found.
33- To provide an appropriate concept for multiplicity, they construct a matrix which contains all the roots of a polynomial.
34- This will give an embedding of the piece of the Hilbert scheme corresponding to the Hilbert polynomial P into this Grassmannian.
35- For example, any polynomial of degree n that has a polynomial size circuit, also has a polynomial size circuit of depth roughly log 2 (n).
36- However for certain sets of such polynomials it may happen that for only finitely many combinations all polynomial functions take the value zero.
37- Analysis of expression From the above analysis we see that the Euler-Lotka equation is in fact the characteristic polynomial of the Leslie matrix.
38- In 2000, V. Vu proved that thin subbases exist in the Waring bases using the Hardy-Littlewood circle method and his polynomial concentration results.
39- EXPTIME-complete A decision problem is EXPTIME-complete if it is in EXPTIME, and every problem in EXPTIME has a polynomial-time many-one reduction to it.
40- Here codeword polynomial is a linear code whose code words are polynomials that are divisible by a polynomial of shorter length called generator polynomial.
41- The degree of a surface determines its mathematical properties, and can be seen as representing the shape by a polynomial with variables to the power of the degree value.
42- Its primary focus was the study of polynomials, polynomial equations, and polynomial forms, and all relevant results and methods derived in the book directly depended on the properties of the systems of numbers.
43- I was wondering if anyone could recommend software to construct a real Nullstellensatz certificate that a system of polynomial equations has no real solution.
44- Approximation through quasi-regression as well as polynomial interpolation, both based on sparse grids, were investigated.
45- Like and unlike terms are classified; like terms are collected; polynomial expressions are multiplied or divide by a monomial; algebraic expressions are factorised (common factor; difference of squares).
46- The calculated excess molar volumes were fitted into the Redlich-Kister polynomial to obtain the fitting parameters and standard deviations.
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Related Words:
polymer – polymeric – polymerization – polymerize – polymerized – polymerizing – polymers – polynomial – polynomials – polyp – polyphonic – polyphony – polypropylene – polyps – polystyrene –
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