• Study Resource
  • Explore
    • Arts & Humanities
    • Business
    • Engineering & Technology
    • Foreign Language
    • History
    • Math
    • Science
    • Social Science

    Top subcategories

    • Advanced Math
    • Algebra
    • Basic Math
    • Calculus
    • Geometry
    • Linear Algebra
    • Pre-Algebra
    • Pre-Calculus
    • Statistics And Probability
    • Trigonometry
    • other →

    Top subcategories

    • Astronomy
    • Astrophysics
    • Biology
    • Chemistry
    • Earth Science
    • Environmental Science
    • Health Science
    • Physics
    • other →

    Top subcategories

    • Anthropology
    • Law
    • Political Science
    • Psychology
    • Sociology
    • other →

    Top subcategories

    • Accounting
    • Economics
    • Finance
    • Management
    • other →

    Top subcategories

    • Aerospace Engineering
    • Bioengineering
    • Chemical Engineering
    • Civil Engineering
    • Computer Science
    • Electrical Engineering
    • Industrial Engineering
    • Mechanical Engineering
    • Web Design
    • other →

    Top subcategories

    • Architecture
    • Communications
    • English
    • Gender Studies
    • Music
    • Performing Arts
    • Philosophy
    • Religious Studies
    • Writing
    • other →

    Top subcategories

    • Ancient History
    • European History
    • US History
    • World History
    • other →

    Top subcategories

    • Croatian
    • Czech
    • Finnish
    • Greek
    • Hindi
    • Japanese
    • Korean
    • Persian
    • Swedish
    • Turkish
    • other →
 
Profile Documents Logout
Upload
Full text
Full text

... expansion of a. If sn is applied recursively, it clearly stabilizes at some value. Let S„(a) = s£(a) for all sufficiently large k. A Niven number [3] is a positive integer a that is divisible by $m(a). We define a riven number (short for recursive Niven number) to be a positive integer a that is div ...
SERRE DUALITY FOR NONCOMMUTATIVE PROJECTIVE
SERRE DUALITY FOR NONCOMMUTATIVE PROJECTIVE



... You’re in a city where all the streets, numbered 0 through x, run north-south, and all the avenues, numbered 0 through y, run east-west. How many [sensible] ways are there to walk from the corner of 0th st. and 0th avenue to the opposite corner of the city? ...
sergey-ccc08
sergey-ccc08

Solution 7 - WUSTL Math
Solution 7 - WUSTL Math

Solution 3 - D-MATH
Solution 3 - D-MATH

Check In – 4.02 Complex Numbers
Check In – 4.02 Complex Numbers

Basic Combinatorics - Math - The University of Tennessee, Knoxville
Basic Combinatorics - Math - The University of Tennessee, Knoxville

real number line.
real number line.

Math 325 - Dr. Miller - HW #4: Definition of Group
Math 325 - Dr. Miller - HW #4: Definition of Group

1.1 Sets of Real Numbers and The Cartesian Coordinate
1.1 Sets of Real Numbers and The Cartesian Coordinate

a ® m
a ® m

CSCI6268L10
CSCI6268L10

n - UOW
n - UOW

Greatest common divisors
Greatest common divisors

Full text
Full text

... STEP 2: Take and interval (1/2,1/1). Write down successively as demonstrated the alternate members of the Fibonacci sequence in increasing magnitude beginning with 2, less than or equal to Fn, for a prescribed f-fn. This will give a sequence of denominators ...
Topology Homework 2
Topology Homework 2

Proof
Proof

numbers, but f g is not. (4) Show examples when f g = g
numbers, but f g is not. (4) Show examples when f g = g

Full text
Full text

Topological methods to solve equations over groups
Topological methods to solve equations over groups

Solvable Groups
Solvable Groups

... An Abelian group G is solvable; the chain of subgroups hei ⊂ G satisfies the definition. Also, the symmetric groups S3 and S4 are solvable by considering the chains hei ⊂ A3 ⊂ S3 and hei ⊂ H ⊂ A4 ⊂ S4 , respectively, where H = {e, (12)(34), (13)(24), (14)(23)}. We shall show below that Sn is not sol ...
SOME ASPECTS OF THE THEORY OF DYNAMICAL
SOME ASPECTS OF THE THEORY OF DYNAMICAL

Unit Overview - Connecticut Core Standards
Unit Overview - Connecticut Core Standards

... Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. Graph linear and quadratic functions and show intercepts, maxima, and minima. Graph square root, cube root, and piecewise-defined functions, including s ...
Grade 8 Math SY1516– Quarter 2 Planning Guide
Grade 8 Math SY1516– Quarter 2 Planning Guide

< 1 ... 221 222 223 224 225 226 227 228 229 ... 480 >

Fundamental theorem of algebra

The fundamental theorem of algebra states that every non-constant single-variable polynomial with complex coefficients has at least one complex root. This includes polynomials with real coefficients, since every real number is a complex number with an imaginary part equal to zero.Equivalently (by definition), the theorem states that the field of complex numbers is algebraically closed.The theorem is also stated as follows: every non-zero, single-variable, degree n polynomial with complex coefficients has, counted with multiplicity, exactly n roots. The equivalence of the two statements can be proven through the use of successive polynomial division.In spite of its name, there is no purely algebraic proof of the theorem, since any proof must use the completeness of the reals (or some other equivalent formulation of completeness), which is not an algebraic concept. Additionally, it is not fundamental for modern algebra; its name was given at a time when the study of algebra was mainly concerned with the solutions of polynomial equations with real or complex coefficients.
  • studyres.com © 2025
  • DMCA
  • Privacy
  • Terms
  • Report