number line

(noun)

A line that graphically represents the real numbers as a series of points whose distance from an origin is proportional to their value.

Related Terms

  • Other Inequalities
  • absolute value
  • inequality

(noun)

A visual representation of the set of real numbers as a series of points.

Related Terms

  • Other Inequalities
  • absolute value
  • inequality

Examples of number line in the following topics:

  • Absolute Value

    • Absolute value can be thought of as the distance of a real number from zero.
    • In mathematics, the absolute value (sometimes called the modulus) of a real number aaa is denoted ∣a∣\left | a \right |∣a∣.
    • Therefore, ∣a∣>0\left | a \right |>0∣a∣>0 for all numbers.
    • When applied to the difference between real numbers, the absolute value represents the distance between the numbers on a number line.
    • The absolute values of 5 and -5 shown on a number line.
  • Magnetic Field Lines

    • First, measure the strength and direction of the magnetic field at a large number of locations (or at every point in space).
    • An advantage of using magnetic field lines as a representation is that many laws of magnetism (and electromagnetism) can be stated completely and concisely using simple concepts such as the "number" of field lines through a surface.
    • For example, the number of field lines through a given surface is the surface integral of the magnetic field .
    • Extensive exploration of magnetic fields has revealed a number of hard-and-fast rules.
    • It is exactly proportional to the number of lines per unit area perpendicular to the lines (called the areal density).
  • Product Line Pricing

    • Line pricing is the use of a limited number of price points for all the product offerings of a vendor.
    • Line pricing is the use of a limited number of prices for all the product offerings of a vendor.
    • Line pricing serves several purposes that benefit both buyers and sellers.
    • From the seller's point of view, line pricing holds several benefits:
    • As costs change, the prices can remain the same, but the quality in the line can be changed.
  • A Brief History of Basso Continuo

    • (This is the original meaning of the term accompany—to accompany a bass line with chords.
    • In these publications, figures(numbers above or below the bass line) were included—sometimes only for difficult or non-standard chords, and eventually for most chords, enabling more amateur musicians, as well as students, to make use of the technique.
    • These bass lines with figures became known as "figured bass" lines.
    • In aural dictation, transcription, and analysis, the bass line and the melody are often the most prominent (and most important) lines in a passage, and knowing how the inner voices tend to relate to the bass line and melody can aid in a number of listening and aural-analysis tasks.
    • The upper part is played by the flute, the lower part is the basso continuo line, played by a keyboardist who uses the numbers below the staff (figures) to guide the chords played above this bass line.
  • Product Line

    • Line depth refers to the number of subcategories a category has.
    • Line consistency refers to how closely related the products that make up the line are.
    • The number of different categories of a company is referred to as width of product mix.
    • The total number of products sold in all lines is referred to as length of product mix.
    • The first is a full-line strategy while the second is called a limited line strategy.
  • Slope

    • Slope describes the direction and steepness of a line, and can be calculated given two points on the line.
    • In mathematics, the slope of a line is a number that describes both the direction and the steepness of the line.
    • Putting the equation of a line into this form gives you the slope (mmm) of a line, and its yyy-intercept (bbb).
    • In other words, a line with a slope of −9-9−9 is steeper than a line with a slope of 777.
    • This ratio is represented by a quotient ("rise over run"), and gives the same number for any two distinct points on the same line.
  • Expressive Qualities of Line

    • The quality of a line refers to the character that is presented by a line in order to animate a surface to varying degrees.
    • This type of line can follow any path, from sinuous curves to jagged or vertical lines.
    • Expressive lines add to the overall character and feeling evoked by a work of art.
    • This painting by Diego Velazquez exemplifies the artist's use of a number of different types of expressive lines.
    • The expressive lines used in this sculpture are sinuous, expressing motion and struggle.
  • Line Graphs

    • Judge whether a line graph would be appropriate for a given data set
    • A line graph is a bar graph with the tops of the bars represented by points joined by lines (the rest of the bar is suppressed).
    • A line graph of these same data is shown in Figure 2.
    • A line graph of the percent change in the CPI over time.
    • A line graph, inappropriately used, depicting the number of people playing different card games on Wednesday and Sunday.
  • Line of Best Fit

    • The trend line (line of best fit) is a line that can be drawn on a scatter diagram representing a trend in the data.
    • The trend line, or line of best fit, is a line that can be drawn on a scatter diagram representing a trend in the data.
    • Trend lines typically are straight lines, although some variations use higher degree polynomials depending on the degree of curvature desired in the line.
    • The mathematical process which determines the unique line of best fit is based on what is called the method of least squares - which explains why this line is sometimes called the least squares line.
    • having the same number of data points on each side of the line - i.e., the line is in the median position;
  • Emission Spectrum of the Hydrogen Atom

    • The emission spectrum of atomic hydrogen is divided into a number of spectral series.
    • The emission spectrum of atomic hydrogen is divided into a number of spectral series, with wavelengths given by the Rydberg formula: 1λvac=RZ2(1n12−1n22)\frac { 1 }{ \lambda_{vac} } =RZ^2( \frac { 1 }{ {n_1 }^{ 2 } } -\frac { 1 }{ { n_2 }^{ 2 } })​λ​vac​​​​1​​=RZ​2​​(​n​1​​​2​​​​1​​−​n​2​​​2​​​​1​​),
    • For example, the 2 → 1 line is called Lyman-alpha (Ly-α), while the 7 → 3 line is called Paschen-delta (Pa-δ).
    • The fine structure also results in single spectral lines appearing as two or more closely grouped thinner lines due to relativistic corrections.
    • Many of the lines are very faint and additional lines can be caused by other elements (such as helium if using sunlight or nitrogen in the air).
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