• 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
TAKS - Lesson 4 - Geneseo Migrant Center
TAKS - Lesson 4 - Geneseo Migrant Center

... isosceles right triangle. She wants the shorter, equal sides of the garden to measure at least 10 feet each, but no more than 15 feet each. The function that shows the area of her garden is g (s ) = ...
LPSS MATHCOUNTS 2004–2005 Lecture 1: Arithmetic Series—4/6/04
LPSS MATHCOUNTS 2004–2005 Lecture 1: Arithmetic Series—4/6/04

A. Formal systems, Proof calculi
A. Formal systems, Proof calculi

Prime Numbers and Irreducible Polynomials
Prime Numbers and Irreducible Polynomials

... of the major unsolved problems in number theory when the degree of f is greater than one. When f is linear, the conjecture is true, of course, and follows from Dirichlet’s theorem on primes in arithmetic progressions. It is not difficult to see that the converse of the Buniakowski conjecture is true ...
Chapter 2
Chapter 2

Chap 2 notes
Chap 2 notes

3 Exponential and Logarithmic functions
3 Exponential and Logarithmic functions

Countable or Uncountable*That is the question!
Countable or Uncountable*That is the question!

What is . . . tetration?
What is . . . tetration?

Countable or Uncountable…That is the question!
Countable or Uncountable…That is the question!

... – Today we identified two kinds of infinity: the size of the natural numbers and the size of the interval (0,1). – Show that there is a bijection between the interval (0,1) and the set of real numbers. – What does the existence of this bijection imply about these two sets? ...
Full text
Full text

... Ministry of Education, Science and Culture, Japan, and by the Anglo-Japanese Scientific Exchange Programme, run by the Japan Society for the Promotion of Science and the Royal ...
Supplement 1: Toolkit Functions
Supplement 1: Toolkit Functions

A note on two linear forms
A note on two linear forms

Homework Assignments – Math 122
Homework Assignments – Math 122

... differentiable at x = 1 ? Sketch the graph of y = f ( x ) using this particular value of a. 10. Explain in words why the function described in each case below is either continuous everywhere on its domain, or if instead, it possesses points of discontinuity. Then sketch a rough graph of the function ...
Infinity and Uncountability. How big is the set of reals or the set of
Infinity and Uncountability. How big is the set of reals or the set of

The strong completeness of the tableau method 1 The strong
The strong completeness of the tableau method 1 The strong

Note 4
Note 4

1 Expectation of a discrete random variable
1 Expectation of a discrete random variable

X - Columbus State University
X - Columbus State University

Full text
Full text

... considers the main theme of this paper, namely, the connection between rational arithmetic functions of order (2, 1) and the sequence {w.n}. Arising from this connection, identities are presented involving the sequences {wn} and {un}, where un = un(c, d) = wn(l, c\ c, d). The sequence {un} is partic ...
15_cardinality
15_cardinality

... The inverse of a bijective function f : A → B is the unique function f ‑1: B → A such that for any a ∈ A, f ‑1(f(a)) = a and for any b ∈ B, f(f ‑1(b)) = b A function is bijective if it has an inverse function ...
Section 3 - UCLA Department of Mathematics
Section 3 - UCLA Department of Mathematics

MATH10040: Numbers and Functions Homework 5: Solutions
MATH10040: Numbers and Functions Homework 5: Solutions

Sequences 9.1
Sequences 9.1

Relations and Functions
Relations and Functions

< 1 ... 53 54 55 56 57 58 59 60 61 ... 132 >

Non-standard calculus

In mathematics, non-standard calculus is the modern application of infinitesimals, in the sense of non-standard analysis, to differential and integral calculus. It provides a rigorous justification for some arguments in calculus that were previously considered merely heuristic.Calculations with infinitesimals were widely used before Karl Weierstrass sought to replace them with the (ε, δ)-definition of limit starting in the 1870s. (See history of calculus.) For almost one hundred years thereafter, mathematicians like Richard Courant viewed infinitesimals as being naive and vague or meaningless.Contrary to such views, Abraham Robinson showed in 1960 that infinitesimals are precise, clear, and meaningful, building upon work by Edwin Hewitt and Jerzy Łoś. According to Jerome Keisler, ""Robinson solved a three hundred year old problem by giving a precise treatment of infinitesimals. Robinson's achievement will probably rank as one of the major mathematical advances of the twentieth century.""
  • studyres.com © 2025
  • DMCA
  • Privacy
  • Terms
  • Report