which explains the name " binomial coefficient ".

Carl Linnaeus ( Swedish original name Carl Nilsson Linnæus, 23 May 1707 – 10 January 1778 ), also known after his ennoblement as, was a Swedish botanist, physician, and zoologist, who laid the foundations for the modern scheme of binomial nomenclature.

The same number however occurs in many other mathematical contexts, where it is denoted by ( often read as " n choose k "); notably it occurs as coefficient in the binomial formula, hence its name binomial coefficient.

The cane toad has many other common names, including " giant toad " and " marine toad "; the former refers to its size and the latter to the binomial name, Bufo marinus.

In this case the specific name marinus changes to marina in order to conform with the rules of gender agreement as set out by the International Code of Zoological Nomenclature changing the binomial name from Bufo marinus to Rhinella marina ; the binomial Rhinella marinus was subsequently introduced as a synonym through misspelling by Pramuk, Robertson, Sites, and Noonan ( 2008 ).

He gave it the binomial name Cervus camelopardalis.

The greatest innovation of Linnaeus, and still the most important aspect of this system, is the general use of binomial nomenclature, the combination of a genus name and a second term, which together uniquely identify each species of organism.

The Ostrich was originally described by Linnaeus in his 18th-century work, Systema Naturae under its current binomial name.

He was the first to use both the binomial Ailurus fulgens and the vernacular name " panda " in reference to the species in his description published in 1825 in Histoire Naturelle des Mammifères.

binomial name: Thylacinus cynocephalus, Greek for " dog-headed pouched one " | archivedate = 4 February 2010

# The taxon must be given a name based on the 26 letters in the Latin alphabet ( a binomial for new species, or uninomial for other ranks ).

However, that particular binomial name had been given to the common wombat ( later reclassified as Vombatus ursinus ) by George Shaw in 1800, and was hence unavailable.

In the 10th century, they were given the binomial name of melancholia canina and in the 14th century, daemonium lupum.

Flax ( also known as common flax or linseed ) ( binomial name: Linum usitatissimum ) is a member of the genus Linum in the family Linaceae.

Such a name is called a binomial name ( which may be shortened to just " binomial "), a binomen or a scientific name ; more informally it is also called a Latin name.

We devote a chapter to the binomial distribution not only because it is a mathematical model for an enormous variety of real life phenomena, but also because it has important properties that recur in many other probability models.

When this experiment is viewed as composed of five binomial trials, one for each member of the family, the outcomes of the trials are obviously not independent.

Indeed, the experiment is better viewed as consisting of one binomial trial for the entire family.

that is, we may discuss the phenomenon in terms of its departures from the binomial model.

When each number of successes X is paired with its probability of occurrence Af, the set of pairs Af, is a probability function called a binomial distribution.

The set of all binomial distributions is called the family of binomial distributions, but in general discussions this expression is often shortened to `` the binomial distribution '', or even `` the binomial '' when the context is clear.

The several trials of a binomial experiment produce a new random variable X, the total number of successes, which is just the sum of the random variables associated with the single trials.

Note that t < sup > 0 </ sup > = 1, ( 1 − t )< sup > 0 </ sup > = 1, and that the binomial coefficient,, also expressed as or is:

They are indexed by two nonnegative integers ; the binomial coefficient indexed by n and k is usually written.

It is the coefficient of the x < sup > k </ sup > term in the polynomial expansion of the binomial power ( 1 + x )< sup > n </ sup >.

For any set containing n elements, the number of distinct k-element subsets of it that can be formed ( the k-combinations of its elements ) is given by the binomial coefficient.

The earliest known detailed discussion of binomial coefficients is in a tenth-century commentary, due to Halayudha, on an ancient Hindu classic, Pingala's chandaḥśāstra.

This shows in particular that is a natural number for any natural numbers n and k. There are many other combinatorial interpretations of binomial coefficients ( counting problems for which the answer is given by a binomial coefficient expression ), for instance the number of words formed of n bits ( digits 0 or 1 ) whose sum is k is given by, while the number of ways to write where every a < sub > i </ sub > is a nonnegative integer is given by.

Greek mathematician Euclid mentioned the special case of the binomial theorem for exponent 2 as did the 3rd century B. C.

Polynomial comes from the Greek poly, " many " and medieval Latin binomium, " binomial ".

Nectocaris was a free-swimming, predatory or scavenging organism, a lifestyle that is reflected in its binomial name: Nectocaris means " swimming shrimp " ( from the Ancient Greek,, meaning " swimmer " and,, " shrimp ";,, means " wing ").

The binomial name derives from the Latin, " kingfisher " ( from Greek, ) and Atthis, a beautiful young woman of Lesbos, and favourite of Sappho.

The binomial name is derived from the Latin Corvus, " Raven ", and Greek corone / κορωνη, " crow ".

The binomial name is derived from Latin Podilymbus, a contraction of podicipes (" feet at the buttocks ", from podici -, " rump -" + pes, " foot ")— the origin of the name of the grebe order — and Ancient Greek kolymbos, " diver ", and podiceps, " rump-headed ", from podici-+ New Latin ceps.

The binomial name is derived from the Greek skolopax, meaning ' woodcock ', and Latin rusticus (' rural ') and colere (' to live ').

The binomial name, Crex crex, from the Ancient Greek " κρεξ ", is onomatopoeic, referring to the crake's repetitive grating call.

The binomial name derives from Greek ouriaa, a waterbird mentioned by Athenaeus, and Danish aalge, " auk " ( from Old Norse alka ).

The binomial name is derived from Greek kerthios, a small tree-dwelling bird described by Aristotle and others, and Latin familiaris, familiar or common.

The binomial name is derived from Greek ; kerthios is a small tree-dwelling bird described by Aristotle and others, and brachydactyla comes from brakhus, " short " and dactulos " finger ", which refers, like the English name, to the fact that this species has shorter toes than the Common Treecreeper.

Both parts of the binomial name refer to the aggressive behaviour of the bird at its mating arenas ; Philomachus is derived from Ancient Greek philo-" loving " and machē " battle ", and pugnax from the Latin term for " combative ".

As in the examples of ardeo ' heron ' and abio ' fir ', the names of most plants and animals are based on their binomial nomenclature, and so many are Latin or Greek as well.

The binomial name comes from the Greek prefix erio -, meaning " woolly ", and suffix-pus, " footed ", referring to the woolly petiole bases.

The binomial name Crocodylus niloticus is derived from the Greek kroko (" pebble "), deilos (" worm ", or " man "), referring to its rough skin ; and niloticus, meaning " from the Nile River ".

The binomial name Drosera regia is derived from the Greek word droseros, meaning " dew-covered " and the specific epithet regia comes from the Latin for " royal ", a reference to what Stephens described as its " striking appearance ".

The binomial name Ammotragus lervia derives from the Greek ammos (" sand ", referring to the sand-coloured coat ) and tragos (" goat ").