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Solutions for Chapter 11.4: Metric Spaces

Full solutions for Introduction to Real Analysis | 3rd Edition

ISBN: 9780471321484

Solutions for Chapter 11.4: Metric Spaces

This textbook survival guide was created for the textbook: Introduction to Real Analysis, edition: 3. Introduction to Real Analysis was written by and is associated to the ISBN: 9780471321484. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 11.4: Metric Spaces includes 12 full step-by-step solutions. Since 12 problems in chapter 11.4: Metric Spaces have been answered, more than 8125 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
  • Additive inverse of a complex number

    The opposite of a + bi, or -a - bi

  • Causation

    A relationship between two variables in which the values of the response variable are directly affected by the values of the explanatory variable

  • Constraints

    See Linear programming problem.

  • Exponential decay function

    Decay modeled by ƒ(x) = a ? bx, a > 0 with 0 < b < 1.

  • Focal length of a parabola

    The directed distance from the vertex to the focus.

  • Imaginary part of a complex number

    See Complex number.

  • Integrable over [a, b] Lba

    ƒ1x2 dx exists.

  • Irrational zeros

    Zeros of a function that are irrational numbers.

  • Mode of a data set

    The category or number that occurs most frequently in the set.

  • nth root

    See Principal nth root

  • Ordinary annuity

    An annuity in which deposits are made at the same time interest is posted.

  • Plane in Cartesian space

    The graph of Ax + By + Cz + D = 0, where A, B, and C are not all zero.

  • Positive association

    A relationship between two variables in which higher values of one variable are generally associated with higher values of the other variable, p. 717.

  • Projection of u onto v

    The vector projv u = au # vƒvƒb2v

  • Quartic regression

    A procedure for fitting a quartic function to a set of data.

  • Reflection across the y-axis

    x, y and (-x,y) are reflections of each other across the y-axis.

  • Remainder theorem

    If a polynomial f(x) is divided by x - c , the remainder is ƒ(c)

  • Subtraction

    a - b = a + (-b)

  • Time plot

    A line graph in which time is measured on the horizontal axis.

  • Transformation

    A function that maps real numbers to real numbers.

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