Median (other)
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Median (other)
Median may refer to: Mathematics and statistics * Median (statistics), in statistics, a number that separates the lowest- and highest-value halves * Median (geometry), in geometry, a line joining a vertex of a triangle to the midpoint of the opposite side * Median (graph theory), a vertex m(a,b,c) that belongs to shortest paths between each pair of a, b, and c * Median algebra, an algebraic triple product generalising the algebraic properties of the majority function * Median graph, undirected graph in which every three vertices a, b, and c have a unique median * Geometric median, a point minimizing the sum of distances to a given set of points People * Median (rapper), a rapper from the U.S. city of Raleigh, North Carolina Science and technology * Median (biology), an anatomical term of location, meaning at or towards the central plane of a bilaterally symmetrical organism or structure * Median filter, a nonlinear digital filtering technique used to reduce noise in images * M ...
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Median (statistics)
In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value. The basic feature of the median in describing data compared to the mean (often simply described as the "average") is that it is not skewed by a small proportion of extremely large or small values, and therefore provides a better representation of a "typical" value. Median income, for example, may be a better way to suggest what a "typical" income is, because income distribution can be very skewed. The median is of central importance in robust statistics, as it is the most resistant statistic, having a breakdown point of 50%: so long as no more than half the data are contaminated, the median is not an arbitrarily large or small result. Finite data set of numbers The median of a finite list of numbers is the "middle" number, when those numbers are liste ...
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Median Language
The Median language (also Medean or Medic) was the language of the Medes. It is an Old Iranian language and classified as belonging to the Northwestern Iranian subfamily, which includes many other languages such as Old Azeri, Gilaki, Mazandarani, Zaza–Gorani, Kurdish, and Baluchi. Attestation Median is attested only by numerous loanwords in Old Persian. Nothing is known of its grammar, "but it shares important phonological isoglosses with Avestan, rather than Old Persian. Under the Median rule . . . Median must to some extent have been the official Iranian language in western Iran". No documents dating to Median times have been preserved, and it is not known what script these texts might have been in. "So far only one inscription of pre-Achaemenid times (a bronze plaque) has been found on the territory of Media. This is a cuneiform inscription composed in Akkadian, perhaps in the 8th century BCE, but no Median names are mentioned in it." Identity A distinction from other ...
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Mediant (mathematics)
In mathematics, the mediant of two fractions, generally made up of four positive integers : \frac \quad and \quad \frac \quad is defined as \quad \frac. That is to say, the numerator and denominator of the mediant are the sums of the numerators and denominators of the given fractions, respectively. It is sometimes called the freshman sum, as it is a common mistake in the early stages of learning about addition of fractions. Technically, this is a binary operation on valid fractions (nonzero denominator), considered as ordered pairs of appropriate integers, a priori disregarding the perspective on rational numbers as equivalence classes of fractions. For example, the mediant of the fractions 1/1 and 1/2 is 2/3. However, if the fraction 1/1 is replaced by the fraction 2/2, which is an equivalent fraction denoting the same rational number 1, the mediant of the fractions 2/2 and 1/2 is 3/4. For a stronger connection to rational numbers the fractions may be required to be reduc ...
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Mediant
In music, the mediant (''Latin'': to be in the middle) is the third scale degree () of a diatonic scale, being the note halfway between the tonic and the dominant.Benward & Saker (2003), p.32. In the movable do solfège system, the mediant note is sung as ''mi''. While the fifth scale degree is almost always a perfect fifth, the mediant can be a major or minor third. Schenkerian analysts consider this scale degree as expansion of the tonic since they have two common tones. On the other hand, in German theory derived from Hugo Riemann the mediant in major is considered the dominant parallel, Dp, and in minor the tonic parallel, tP. In Roman numeral analysis, the mediant chord can take several forms. In major scales, the mediant chord is a minor triad and is symbolized with the Roman numeral iii. In natural minor scales, the mediant is a major triad and is symbolized with the Roman numeral III. In harmonic minor scales and ascending melodic minor scales, the seventh scale d ...
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Medes
The Medes (Old Persian: ; Akkadian: , ; Ancient Greek: ; Latin: ) were an ancient Iranian people who spoke the Median language and who inhabited an area known as Media between western and northern Iran. Around the 11th century BC, they occupied the mountainous region of northwestern Iran and the northeastern and eastern region of Mesopotamia located in the region of Hamadan (Ecbatana). Their consolidation in Iran is believed to have occurred during the 8th century BC. In the 7th century BC, all of western Iran and some other territories were under Median rule, but their precise geographic extent remains unknown. Although they are generally recognized as having an important place in the history of the ancient Near East, the Medes have left no written source to reconstruct their history, which is known only from foreign sources such as the Assyrians, Babylonians, Armenians and Greeks, as well as a few Iranian archaeological sites, which are believed to have been occupied ...
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Median Strip
The median strip, central reservation, roadway median, or traffic median is the reserved area that separates opposing lanes of traffic on divided roadways such as divided highways, dual carriageways, freeways, and motorways. The term also applies to divided roadways other than highways, including some major streets in urban or suburban areas. The reserved area may simply be paved, but commonly it is adapted to other functions; for example, it may accommodate decorative landscaping, trees, a median barrier, or railway, rapid transit, light rail, or streetcar lines. Regional terminology There is no international English standard for the term. Median, median strip, and median divider island are common in North American and Antipodean English. Variants in North American English include regional terms such as neutral ground in New Orleans usage. In British English the central reservation or central median the preferred usage; it also occurs widely in formal documents in som ...
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Median Consonant
A central consonant, also known as a median consonant, is a consonant sound that is produced when air flows across the center of the mouth over the tongue. The class contrasts with lateral consonants, in which air flows over the sides of the tongue rather than down its center. Examples of central consonants are the voiced alveolar fricative (the "z" in the English word "zoo") and the palatal approximant (the "y" in the English word "yes"). Others are the central fricatives , the central approximants , the trills , and the central flaps . The term is most relevant for approximants and fricatives (for which there are contrasting lateral and central consonants - e.g. versus and versus ). Stops that have "lateral release" can be written in the International Phonetic Alphabet using a superscript symbol, e.g. , or can be implied by a following lateral consonant, e.g. . The labial fricatives often—perhaps usually—have lateral airflow, as occlusion between the teeth and lips block ...
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Median Empire
The Medes (Old Persian: ; Akkadian: , ; Ancient Greek: ; Latin: ) were an ancient Iranian people who spoke the Median language and who inhabited an area known as Media between western and northern Iran. Around the 11th century BC, they occupied the mountainous region of northwestern Iran and the northeastern and eastern region of Mesopotamia located in the region of Hamadan (Ecbatana). Their consolidation in Iran is believed to have occurred during the 8th century BC. In the 7th century BC, all of western Iran and some other territories were under Median rule, but their precise geographic extent remains unknown. Although they are generally recognized as having an important place in the history of the ancient Near East, the Medes have left no written source to reconstruct their history, which is known only from foreign sources such as the Assyrians, Babylonians, Armenians and Greeks, as well as a few Iranian archaeological sites, which are believed to have been occupied ...
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Median Nerve
The median nerve is a nerve in humans and other animals in the upper limb. It is one of the five main nerves originating from the brachial plexus. The median nerve originates from the lateral and medial cords of the brachial plexus, and has contributions from ventral roots of C5-C7 (lateral cord) and C8 and T1 (medial cord). The median nerve is the only nerve that passes through the carpal tunnel. Carpal tunnel syndrome is the disability that results from the median nerve being pressed in the carpal tunnel. Structure The median nerve arises from the branches from lateral and medial cords of the brachial plexus, courses through the anterior part of arm, forearm, and hand, and terminates by supplying the muscles of the hand. Arm After receiving inputs from both the lateral and medial cords of the brachial plexus, the median nerve enters the arm from the axilla at the inferior margin of the teres major muscle. It then passes vertically down and courses lateral to the brachial ar ...
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Median (geometry)
In geometry, a median of a triangle is a line segment joining a vertex (geometry), vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's triangle centroid, centroid. In the case of isosceles and equilateral triangles, a median angle bisector, bisects any angle at a vertex whose two adjacent sides are equal in length. The concept of a median extends to tetrahedron, tetrahedra. Relation to center of mass Each median of a triangle passes through the triangle's centroid, which is the center of mass of an infinitely thin object of uniform density coinciding with the triangle. Thus the object would balance on the intersection point of the medians. The centroid is twice as close along any median to the side that the median intersects as it is to the vertex it emanates from. Equal-area division Each median divides the area of the triangle in half; hence ...
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Median Filter
The median filter is a non-linear digital filtering technique, often used to remove noise from an image or signal. Such noise reduction is a typical pre-processing step to improve the results of later processing (for example, edge detection on an image). Median filtering is very widely used in digital image processing because, under certain conditions, it preserves edges while removing noise (but see the discussion below), also having applications in signal processing. Algorithm description The main idea of the median filter is to run through the signal entry by entry, replacing each entry with the median of neighboring entries. The pattern of neighbors is called the "window", which slides, entry by entry, over the entire signal. For one-dimensional signals, the most obvious window is just the first few preceding and following entries, whereas for two-dimensional (or higher-dimensional) data the window must include all entries within a given radius or ellipsoidal region (i.e. the ...
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Symmetry In Biology
Symmetry in biology refers to the symmetry observed in organisms, including plants, animals, fungi, and bacteria. External symmetry can be easily seen by just looking at an organism. For example, take the face of a human being which has a plane of symmetry down its centre, or a pine cone with a clear symmetrical spiral pattern. Internal features can also show symmetry, for example the tubes in the human body (responsible for transporting gases, nutrients, and waste products) which are cylindrical and have several planes of symmetry. Biological symmetry can be thought of as a balanced distribution of duplicate body parts or shapes within the body of an organism. Importantly, unlike in mathematics, symmetry in biology is always approximate. For example, plant leaves – while considered symmetrical – rarely match up exactly when folded in half. Symmetry is one class of patterns in nature whereby there is near-repetition of the pattern element, either by reflection or rotation ...
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