• 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
Notes for week 11.
Notes for week 11.

Continued Fractions and Pell`s Equation - David Lowry-Duda
Continued Fractions and Pell`s Equation - David Lowry-Duda

CSE 21 Homework 1 Due: Friday April 1, 2016 at 11
CSE 21 Homework 1 Due: Friday April 1, 2016 at 11

From Symmetries to Number Theory via Finite Operator Theory
From Symmetries to Number Theory via Finite Operator Theory

The Topsy-Turvy World of Continued Fractions [online]
The Topsy-Turvy World of Continued Fractions [online]

Math 3, Midterm Exam 1, Question 11
Math 3, Midterm Exam 1, Question 11

Lesson 6_5
Lesson 6_5

Lesson Plan - Howard County Public School System
Lesson Plan - Howard County Public School System

... Anticipated Misconceptions: It is sometimes difficult to distinguish the complex number plane from the x-y plane. The need to have a two number line system for one variable, rather than the luxury of mere real number lines for two variables, is necessitated by the separate imaginary part of complex ...
Overpseudoprimes, and Mersenne and Fermat Numbers as
Overpseudoprimes, and Mersenne and Fermat Numbers as

Banach-Alaoglu theorems
Banach-Alaoglu theorems

What Shape is the Universe?
What Shape is the Universe?

2 Values of the Riemann zeta function at integers
2 Values of the Riemann zeta function at integers

Greece Central School District
Greece Central School District

4. Techniques of Proof: II
4. Techniques of Proof: II

8-6 Radical Expressions and Rational Exponents
8-6 Radical Expressions and Rational Exponents

On the prime factors of the number 2 p-1 - 1
On the prime factors of the number 2 p-1 - 1

S D
S D

... The binder sheet is subject to change. ...
Full text
Full text

... (Determinant D(m) = the coefficients of the S(g) ) and (15.2) D(g) is the determinant we get when replacing in (15.1) the appropriate column of the coefficients of any S(g) with the column to the extreme left in (13) (the t e r m s in the column to the extreme left in (13) from top to bottom a r e : ...
The 5 Color Theorem
The 5 Color Theorem

The Nature of Mathematics
The Nature of Mathematics

... Axiom A true mathematical statement whose truth is accepted without proof. Theorem A true mathematical statement whose truth can be verified is often referred to as a theorem. Corollary A mathematical result that can be deduced from some earlier result. Lemma A mathematical result that is useful in ...
ON A VARIATION OF PERFECT NUMBERS Douglas E. Iannucci
ON A VARIATION OF PERFECT NUMBERS Douglas E. Iannucci

Use Square Root
Use Square Root

... Machine designers and machinists don’t always think of numbers in terms of rational or irrational. They simply truncate repeating decimals and provide solutions that are task-appropriate. Whether we are conscious of their irrational classification or not, we often attribute concrete values to these ...
Professor Nori's notes (includes homework assignments)
Professor Nori's notes (includes homework assignments)

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

Algebra I A - Meeting 8
Algebra I A - Meeting 8

... a) Compare: For three holes, you score an eagle, a double bogey, and a birdie. Your friend scores a double eagle, a bogey, a bogey, and a par. Who has the better total score? b) Explain: Your friend scores a double eagle and an eagle for the next two holes. Is it possible for you to have a better sc ...
< 1 ... 211 212 213 214 215 216 217 218 219 ... 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