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Fourier Series Applet. This applet demonstrates Fourier series, which is a method of expressing an arbitrary periodic function as a sum of cosine terms. In other words, Fourier series can be used to express a function in terms of the frequencies (harmonics) it is composed of. To select a function, you may press one of the following buttons: Sine, Triangle, Sawtooth, Square, and Noise. The function is displayed in white, with the Fourier series approximation in red.

You can edit the function directly by clicking on it. Index of examples. Full screen version. Full Directions. Java Version. Digital Filters Applet. More applets. java@falstad.com. Pi Is (still) Wrong. Demonstration of graphing period of Sine Curve. List of cities by latitude. The following is a list of cities by latitude. Both the latitude and longitude are shown for all cities and sorted by latitude started from the North Pole down to the South Pole. Each heading should be considered the exact value. This means that the 70°N heading corresponds to exactly 70°00′00.00″N and everything farther north should be above this heading while everything farther south should be below it. In the tables between the various headings, "State" can refer to any second-level political subdivision of a country, whether it is called a "State", "Province", or another term. 90° North (North Pole)[edit] 80° North[edit] 70° North[edit] 60° North[edit] 50° North[edit] 40° North[edit] 30° North[edit] 20° North[edit] 10° North[edit] Equator[edit] 10° South[edit] 20° South[edit] 30° South[edit] 40° South[edit] 50° South[edit] 60° South[edit] 70° South[edit] 80° South[edit] Sources[edit] See also[edit]

Earth. Solstice. A solstice is an astronomical event that occurs twice each year as the Sun reaches its highest or lowest excursion relative to the celestial equator on the celestial sphere. As a result, on the day of the solstice, the Sun appears to have reached its highest or lowest annual altitude in the sky above the horizon at local solar noon. The solstices, together with the equinoxes, are connected with the seasons. In many cultures the solstices mark either the beginning or the midpoint of winter and summer.

The word solstice is derived from the Latin sol (sun) and sistere (to stand still), because at the solstices, the Sun stands still in declination; that is, the seasonal movement of the Sun's path (as seen from Earth) comes to a stop before reversing direction. At latitudes in the temperate zone, the summer solstice marks the day when the sun appears highest in the sky. The term solstice can also be used in a broader sense, as the date (day) when this occurs. Cultural aspects[edit] Duration of Daylight/Darkness Table for One Year. Important! Please read the Notes section. This page provides a way for you to obtain a table of the duration of daylight or darkness for any year between 1700 and 2100. You can obtain a table for any location worldwide by following these simple steps: Decide on which form to use. If you want a table for cities or towns in the U.S. or its territories, use Form A below. For other locations, use Form B below. Enter the year (1700 - 2100) for which the table is desired.

Form A - U.S. Specify year, type of table, and place: Form B - Locations Worldwide Notes Explanation The Duration of Daylight table provides, for each calendar date, the total time that any portion of the Sun is above the horizon. The Duration of Darkness table provides, for each calendar date, the total time that the entire Sun is below the horizon. For definitions of sunrise and sunset, see Rise, Set, and Twilight Definitions in our FAQ area.

Time Zones How to Print the Table How to Import the Table into a Spreadsheet. Day Numbers for 2013.