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Related Concept Videos

Relative Frequency Histogram01:14

Relative Frequency Histogram

6.7K
The relative frequency depicts the proportion of data points that have each value. The frequency tells the number of data points that have each value. Like the histogram, a relative frequency histogram also has the same shape with a horizontal scale (the x-axis), but the vertical scale (the y-axis) is marked with relative frequencies (percentages of the whole) instead of actual frequencies. A relative frequency histogram is a graphical representation of a frequency distribution where the...
6.7K
Relative Frequency Distribution00:55

Relative Frequency Distribution

14.2K
A relative frequency distribution is the proportion or fraction of times a value occurs in a data set. To find the relative frequencies, one can divide each frequency by the total number of data points in the sample. It is very similar to a regular frequency distribution, except that instead of reporting how many data values fall in a class, a relative frequency distribution reports the fraction of data values that fall in a class. These fractions or proportions are called relative frequencies...
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Construction of Frequency Distribution01:15

Construction of Frequency Distribution

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A frequency distribution table can be constructed using the steps given below.
First, make a table with two columns—one with the title of the data that needs to be organized, and the other column for frequency. [Draw a third column for tally marks if needed]. Then, take a look at the items given in the data set and decide if an ungrouped frequency distribution table or a grouped frequency distribution table would be more suitable. If there are large sets of different values, then it is...
13.2K
Cumulative Frequency Distribution01:04

Cumulative Frequency Distribution

8.9K
A cumulative frequency distribution is another type of frequency distribution. Instead of reporting how many data values fall in some classes, it reports how many data values are contained in either that class or any class to its left. Technically, it means the sum of frequencies of the class and all the classes below it in a frequency distribution. A cumulative frequency is calculated by adding the frequency of each class lower than the corresponding class interval or category. In general, a...
8.9K
Determination of Expected Frequency01:08

Determination of Expected Frequency

2.7K
Suppose one wants to test independence between the two variables of a contingency table. The values in the table constitute the observed frequencies of the dataset. But how does one determine the expected frequency of the dataset? One of the important assumptions is that the two variables are independent, which means the variables do not influence each other. For independent variables, the statistical probability of any event involving both variables is calculated by multiplying the individual...
2.7K
What is a Frequency Distribution00:51

What is a Frequency Distribution

29.0K
A frequency is the number of times a value of the data occurs. The sum of all the frequency values represents the total number of students included in the sample. It is commonly used to group data of quantitative types. Frequency distributions can be displayed in a table, histogram, line graph, dot plot, or pie chart, just to name a few. A histogram is a graphical representation of tabulated frequencies, shown as adjacent rectangles, erected over discrete intervals (bins), with an area equal to...
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Related Experiment Video

Updated: Mar 12, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

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Clustered frequency comb.

Andrey B Matsko, Anatoliy A Savchenkov, Shu-Wei Huang

    Optics Letters
    |November 3, 2016
    PubMed
    Summary
    This summary is machine-generated.

    We theoretically demonstrate and experimentally validate the generation of a broad Kerr frequency comb using a magnesium fluoride resonator. This comb features spectral clusters phase-matched by complex group velocity dispersion effects.

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    Area of Science:

    • Nonlinear optics
    • Quantum optics
    • Materials science

    Background:

    • Kerr frequency combs are crucial for precise spectroscopy and optical frequency metrology.
    • Generating spectrally broad combs is challenging due to phase-matching limitations.

    Purpose of the Study:

    • To theoretically and experimentally demonstrate the generation of a spectrally broad Kerr frequency comb.
    • To investigate the role of second- and higher-order group velocity dispersion in phase-matching spectral clusters.

    Main Methods:

    • Theoretical modeling of Kerr frequency comb generation considering higher-order dispersion.
    • Experimental setup using a magnesium fluoride (MgF2) microresonator.
    • Driving the resonator with continuous wave (CW) light at 1.55 μm.

    Main Results:

    • Theoretical feasibility of generating a spectrally broad Kerr frequency comb with multiple spectral clusters.
    • Experimental observation of two distinct comb clusters in a MgF2 resonator.
    • Observed spectral separation of nearly two-thirds of an octave between comb clusters.

    Conclusions:

    • The interplay of second- and higher-order group velocity dispersion enables phase-matching for spectrally broad Kerr frequency combs.
    • MgF2 microresonators are suitable platforms for generating broadband Kerr combs.
    • This work advances the development of advanced light sources for various applications.