• 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
Tamagawa Numbers of elliptic curves with $ C_ {13} $ torsion over
Tamagawa Numbers of elliptic curves with $ C_ {13} $ torsion over

Tamagawa Numbers of elliptic curves with C_{13}
Tamagawa Numbers of elliptic curves with C_{13}

The Probability that a Random - American Mathematical Society
The Probability that a Random - American Mathematical Society

Rational values of the arccosine function
Rational values of the arccosine function

MATH 521, WEEK 2: Rational and Real Numbers, Ordered Sets
MATH 521, WEEK 2: Rational and Real Numbers, Ordered Sets

countably infinite
countably infinite

Lecture Notes for MA 132 Foundations
Lecture Notes for MA 132 Foundations

Algebra 2 Correlation of the ALEKS course Algebra 2 to the
Algebra 2 Correlation of the ALEKS course Algebra 2 to the

Notes: Solving Inequalities Using Addition and Subtraction
Notes: Solving Inequalities Using Addition and Subtraction

... Solution of an Inequality: any number that makes the inequality __________. (ex) x > 4: all real numbers greater than 4 (ex) x ≤ –3: all real numbers less than or equal to –3 Example 1: Determine if each number is a solution of the given inequality. *Substitute the given number in for x. After you s ...
Part IX. Factorization
Part IX. Factorization

ALG2_U4_Final
ALG2_U4_Final

... screen to check for equivalency. This can be done by getting decimal representations or using the TEST feature of the calculator: Enter 50  5 2 (The “=” sign is found under 2ND ,[TEST], (above MATH ). If the calculator returns a “1,” then the statement is true; if it returns a “0”, then the stateme ...
Part I - University of Maryland
Part I - University of Maryland

2340-001/lectures - NYU
2340-001/lectures - NYU

Solving With Or Without Equations
Solving With Or Without Equations

Functions and Algorithms
Functions and Algorithms

Lines on Projective Hypersurfaces
Lines on Projective Hypersurfaces

Infinity and Diagonalization
Infinity and Diagonalization

Which is a rational number
Which is a rational number

... Every integer has an additive inverse. Every integer has a multiplicative inverse. The set of integers is closed under addition. The set of integers is closed under multiplication ...
Raji, Exercises 4.1: 1. Determine whether the arithmetic functions f
Raji, Exercises 4.1: 1. Determine whether the arithmetic functions f

Prime factorization of integral Cayley octaves
Prime factorization of integral Cayley octaves

Part I: Groups and Subgroups
Part I: Groups and Subgroups

... 3. If we use the additive notation +, then the identity is denoted by zero 0. The inverse of a is denoted by −a. 4. If we use the multiplicative notation, then the identity is denoted by "one" 1. The inverse of a is denoted by a−1 . 5. Suppose n ≥ 0 is a non-negative integer. In the additive notatio ...
MATH 2112/CSCI 2112, Discrete Structures I Winter 2007 Toby
MATH 2112/CSCI 2112, Discrete Structures I Winter 2007 Toby

7.4 Notes - Denton ISD
7.4 Notes - Denton ISD

Language of Sets
Language of Sets

Solving Quadratic Equations by Using Square Roots
Solving Quadratic Equations by Using Square Roots

< 1 ... 212 213 214 215 216 217 218 219 220 ... 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