• 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
Classifying Conics 10.5_classifying_conics
Classifying Conics 10.5_classifying_conics

looking at graphs through infinitesimal microscopes
looking at graphs through infinitesimal microscopes

Introducing The Quaternions - UCR Math Dept.
Introducing The Quaternions - UCR Math Dept.

17 Sums of two squares
17 Sums of two squares

On the continuity of the inverses of strictly monotonic
On the continuity of the inverses of strictly monotonic

Notes on ordinals and cardinals 1 Background Terminology Reed Solomon
Notes on ordinals and cardinals 1 Background Terminology Reed Solomon

127 A GENERALIZATION OF BAIRE CATEGORY IN A
127 A GENERALIZATION OF BAIRE CATEGORY IN A

... Theorem 4.1 is established for an ordered space in each of the versions [1, 3, 7]. In each case the proof is pretty much the same, and analogous to the proof of the Baire category version performed in R. What is essential in the linear case is that no point has character (τ, γ) where both τ and γ ar ...
Sample pages 1 PDF
Sample pages 1 PDF

SAMPLE QUESTION PAPER (Set - II) Summative Assessment II Class-X (2015
SAMPLE QUESTION PAPER (Set - II) Summative Assessment II Class-X (2015

by Matthew Williamson
by Matthew Williamson

Number Theory Review for Exam 1 ERRATA On Problem 3 on the
Number Theory Review for Exam 1 ERRATA On Problem 3 on the

Introduction to derived algebraic geometry
Introduction to derived algebraic geometry

3. Localization.
3. Localization.

ON THE WEAK LEFSCHETZ PROPERTY FOR POWERS OF
ON THE WEAK LEFSCHETZ PROPERTY FOR POWERS OF



Total weight choosability of graphs
Total weight choosability of graphs

... induced colouring φf is proper, i.e., for any edge xx0 of G, φf (x) 6= φf (x0 ). The real number assigned to an edge is called the weight of the edge. Instead of real numbers, one can use elements of some other field as weights. For simplicity, the weights are restricted to real numbers in this pap ...
Secondary II - Northern Utah Curriculum Consortium
Secondary II - Northern Utah Curriculum Consortium

The Cayley Trick, lifting subdivisions and the Bohne-Dress
The Cayley Trick, lifting subdivisions and the Bohne-Dress

Math 1201 Factoring Review Name
Math 1201 Factoring Review Name

When are induction and conduction functors isomorphic
When are induction and conduction functors isomorphic

DISTORTION MAPS FOR GENUS TWO CURVES 1. Introduction Let
DISTORTION MAPS FOR GENUS TWO CURVES 1. Introduction Let

Indecomposable permutations with a given number of cycles
Indecomposable permutations with a given number of cycles

... of the asymptotic limit of this function when n and m tend to infinity keeping m In a second part of the paper we restrict these permutations to be involutions with no fixed points and take as parameter the number of left-to-right maxima instead of the number of cycles, note that these two statistic ...
quadratic - James Tanton
quadratic - James Tanton

THE CONGRUENT NUMBER PROBLEM 1. Introduction A right
THE CONGRUENT NUMBER PROBLEM 1. Introduction A right

decompositions of groups of invertible elements in a ring
decompositions of groups of invertible elements in a ring

< 1 ... 56 57 58 59 60 61 62 63 64 ... 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