number line

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 $a$ is denoted $\left | a \right |$.
  • Therefore, $\left | a \right |>0$ 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 ($m$) of a line, and its $y$-intercept ($b$).
  • In other words, a line with a slope of $-9$ is steeper than a line with a slope of $7$.
  • 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: $\frac { 1 }{ \lambda_{vac} } =RZ^2( \frac { 1 }{ {n_1 }^{ 2 } } -\frac { 1 }{ { n_2 }^{ 2 } })$,
  • 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).