In the year 1864 Professor Simonds placed in my hands a very singular nematode, to which I gave the binomial term Simondsia paradoxa.
The binomial theorem is a celebrated theorem, originally due to Sir Isaac Newton, by which any power of a binomial can be expressed as a series.
For the history of the binomial theorem, see John Collins, Commercium Epistolicum (1712); S.
The binomial theorem was thus discovered as a development of John Wallis's investigations in the method of interpolation.
A numerical coefficient in any particular case of the binomial theorem.
He established a binomial nomenclature and formulated modern descriptive methods.
Also he was engaged in the difficult expression of a certain letter which, at that time, presented more difficulties than the binomial theorem.
The binomialtheorem is a delight and a joy, when, as you say, the master has mutual trust in the scholar.
What opinion then shall we form of the proposition A = A, when considered as the representative of such a formula as the binomial theorem of Sir Isaac Newton?
Following upon his doubts of his religious faith had come another still more extraordinary question: "Although there is a God, does he indeed matter more in our ordinary lives than that same demonstrable Binomial Theorem?
Very like the Binomial Theorem as one thought over that comparison.
He was as sure that God was the necessary king and saviour of mankind and of a man's life, as he was of the truth of the Binomial Theorem.
Plane and Spherical Trigonometry, Quadratic Equations, involving several unknown quantities, theBinomial Theorem, and the Elements of Analytical and Solid Geometry.
Arithmetical and geometrical progression, calculation of interest, theory of combination, binomial theory for real exponents, series for powers and logarithms and analytic trigonometry.
But scientifically considered, logarithms involve fractional and negative exponents, as also the application of the Binomial Theorem.
But even where recourse is had to Taylor's Theorem and the Binomial Theorem, the gain to the beginner will not usually be very much greater.
To one who does not specialize in the history of mathematics such expansions may create surprise, for did not Newton invent the binomial theorem after the death of Oughtred?
Oughtred's Clavis of 1631 gave the binomial coefficients for all powers up to and including the tenth.
The dot is used to indicate that the root of the binomial (not of 136 alone) is called for.
As a matter of fact, the expansions of positive integral powers of a binomial were known long before Newton, not only to seventeenth-century but even to eleventh-century mathematicians.
What Newton really accomplished was the generalization of the binomial expansion which makes it applicable to negative and fractional exponents and converts it into an infinite series.
Newton, through his method of fluxions, has since rendered the calculus more analytical, he also simplified and generalized the method by the invention of his binomial theorem.
Newton was indebted to it for his theorem of the binomial and the principle of universal gravity.
For the reference to Ascanius' work, which is on the binomial system, and subsequent to the 10th edit.
In accordance with the rules, I have rejected, that is, as compulsory, all names given before the introduction of the binomial system in 1758.
The name Balanus was used, almost as at present, by Lister and Hill, before the introduction of the binomial system.
What can a binomialtheorem be, especially one whose author is Newton, the great English mathematician who weighed the worlds?
I was to recover from the illusion later, when the binomial theorem, that light, crisp biscuit, was followed by heavier and less digestible fare.
The ingenious and easy arrangement of the binomial gave me time to tackle my algebra book from the proper commencement.
A chapter catches my attention in the middle of the volume; it is headed, Newton's Binomial Theorem.
Hill published before the binomial system, their names of Anatifera and Pentalasmis would have had prior claims to Lepas.
Defn: A numerical coefficient in any particular case of the binomial theorem.
Non omnia possumus omnes," Virgil says; and there are intellects who could no more master such a method, than they could understand the binomial theorem, or calculate the orbit of Uranus.
Brownii," instead of "Carya Brownii," which latter binomialwould throw it among the species.
The binomial is clearly applicable enough for species, Carya pecan, for example, but when we come to varieties of the pecan there are two kinds of varieties to be considered, those by environment and those by hybridization.
In some cases the species name has been adopted to denote a new genus, and then the Law of Priority steps in and says the oldest species name must be retained, so that instead of a binomial we get a mere duplication.
The answer to this question is the binomial theorem.
Expand each term by the binomial theorem, and let us fix our attention on the coefficient of y^(n - 1).
The essence of the system is the introduction of binomial nomenclature--that is to say, the use of two names and no more to designate any single species of animal or plant.
This seems perfectly simple and natural now, but to understand how great a reform the binomial nomenclature introduced we have but to consult the work of Linnaeus's predecessors.
All the fields of Mathematics I have roamed at her decree; From Binomial and Quadratics, To the strange hyperbole.
No one pretends to dispute the conclusions logically involved in the Binomial Theorem; or in the Parallelogram of forces; or in correlative mechanical equivalents; or in many of the known laws of chemistry and physiology.
Natural Science is not the invention of man, more than is the law of gravitation, the law of equilibrium, or the binomial theorem.
The above list will hopefully give you a few useful examples demonstrating the appropriate usage of "binomial" in a variety of sentences. We hope that you will now be able to make sentences using this word. Other words: argument; bicameral; bicuspid; binomial; bipartite; biped; bisexual; element; equation; formula
