And it is clearly argued by Lord Percy of Newcastle, in his remarkable long essay, The Heresy Of Democracy, and in a more general way by Voegelin, in his New Science Of Politics, that this same Rousseauan idea, descending through European democracy, is the source of Marx's theory of the dictatorship of the proletariat.

There is little evidence that they are giving any systematic thought to a general theory of the optimum scope and nature of their part in government.

The general theory of resonance shifts is used to derive a general expression for the second moment Af of a polycrystalline paramagnetic sample and is specialized to Af.

We should expect that general phonologic theory should be as adequate for tone as for consonants and vowels, but it has not been.

This can only be for one of two reasons: either the two are quite different and will require totally different theory ( and hence techniques ), or our existing theories are insufficiently general.

-- The theory of elasticity of Gaussian networks has been developed on a more general basis and the equations of state relating variables of pressure, volume, temperature, stress and strain have been precisely formulated.

Dr. Bonnor begins with a discussion of the relativistic theories of the universe, based on the general theory of relativity.

The exact number and placement of Endosymbiotic theory | endosymbiotic events is currently unknown, so this diagram can be taken only as a general guide It represents the most parsimonious way of explaining the three types of endosymbiotic origins of plastids.

He is remembered for developing the theory of general semantics.

*: The article on Whorf states " Drawing on Nietzsche's ideas of perspectivism Alfred Korzybski developed the theory of general semantics which has been compared to Whorf's notions of linguistic relativity.

For example, in some groups, the group operation is commutative, and this can be asserted with the introduction of an additional axiom, but without this axiom we can do quite well developing ( the more general ) group theory, and we can even take its negation as an axiom for the study of non-commutative groups.

The most general setting in which these words have meaning is an abstract branch of mathematics called category theory.

Then, following the programme he outlined in his talk at the 1958 International Congress of Mathematicians, he introduced the theory of schemes, developing it in detail in his Éléments de géométrie algébrique ( EGA ) and providing the new more flexible and general foundations for algebraic geometry that has been adopted in the field since that time.

The theory of special relativity predicts that any such device would allow communication from the future to the past, which raises problems of causality, unless the device used general relativistic curved spacetimes as an integral part.

The Gaussian theory, however, is only true so long as the angles made by all rays with the optical axis ( the symmetrical axis of the system ) are infinitely small, i. e. with infinitesimal objects, images and lenses ; in practice these conditions are not realized, and the images projected by uncorrected systems are, in general, ill defined and often completely blurred, if the aperture or field of view exceeds certain limits.

Thus, the Big Bang theory cannot and does not provide any explanation for such an initial condition ; rather, it describes and explains the general evolution of the universe going forward from that point on.

Also, general relativity has passed stringent tests on the scale of the Solar System and binary stars while extrapolation to cosmological scales has been validated by the empirical successes of various aspects of the Big Bang theory.

Bootstrapping is using very general consistency criteria to determine the form of a quantum theory from some assumptions on the spectrum of particles.

The theory that they were defensive military structures is not accepted by many modern archaeologists ( see the ' general references ' below ), while the alternative notion that they were farmhouses is dismissed by some others.

MacKie's theory has fallen from favour too, mainly because from the 1970s there was a general move away from ' diffusionist ' explanations in archaeology towards those involving exclusively indigenous development.

The theory of general relativity predicts that a sufficiently compact mass will deform spacetime to form a black hole.

In 1915, Albert Einstein developed his theory of general relativity, having earlier shown that gravity does influence light's motion.

Naveh states, " The striking feature of the blitzkrieg concept is the complete absence of a coherent theory which should have served as the general cognitive basis for the actual conduct of operations ".

Unital Banach algebras over the complex field provide a general setting to study spectral theory.

A general procedure ( the chakravala, or " cyclic method ") for solving Pell's equation was finally found by Jayadeva ( cited in the eleventh century ; his work is otherwise lost ); the earliest surviving exposition appears in Bhāskara II's Bīja-gaṇita ( twelfth century ).

Bhaskara II in the 12th century and Narayana Pandit in the 14th century both found general solutions to Pell's equation and other quadratic indeterminate equations.

Brahmagupta created a general way to solve Pell's equation known as the chakravala method.

The solution of the general Pell's equation would have to wait for Bhaskara II in c. 1150 CE.

The equation on the left is the Bessel equation which has the general solution

The equation on the right has the general solution

where is the Boltzmann constant, T is temperature ( assumed to be a well-defined quantity ), is the degeneracy ( meaning, the number of levels having energy ; sometimes, the more general ' states ' are used instead of levels, to avoid using degeneracy in the equation ), N is the total number of particles and Z ( T ) is the partition function.

Dark energy in its simplest formulation takes the form of the cosmological constant term in Einstein's field equations of general relativity, but its composition and mechanism are unknown and, more generally, the details of its equation of state and relationship with the Standard Model of particle physics continue to be investigated both observationally and theoretically.

The recursive equation is best introduced in a slightly more general form

This remarkably general law allows mathematicians to determine the solvability of any quadratic equation in modular arithmetic.

The rendering equation doesn't account for all lighting phenomena, but is a general lighting model for computer-generated imagery.

It is close to a more general curve called a flattened catenary, with equation, which is a catenary if.

The following equation on the polar coordinates ( r, θ ) describes a general ellipse with semidiameters a and b, centered at a point ( r < sub > 0 </ sub >, θ < sub > 0 </ sub >), with the a axis rotated by φ relative to the polar axis:

The general form of a linear equation with one variable, can be written as:

In general, a quadratic equation can be expressed in the form, where is not zero ( if it were zero, then the equation would not be quadratic but linear ).

* He constructed the general linear group over a prime field, GL ( ν, p ) and computed its order, in studying the Galois group of the general equation of degree p < sup > ν </ sup >.

: In the general ( or standard ) form the linear equation is written as:

The general linear equation in n variables is:

By eliminating ρ and J, using Maxwell's equations, and manipulating using the theorems of vector calculus, this form of the equation can be used to derive the Maxwell stress tensor σ, in turn this can be combined with the Poynting vector S to obtain the electromagnetic stress-energy tensor T used in general relativity.

The basis for determination of molecular weight according to the Staudinger method ( since replaced by the more general Mark-Houwink equation ) is the fact that relative viscosity of suspensions depends on volumetric proportion of solid particles.

At higher Reynolds number, the analogy between mass and heat transfer and momentum transfer becomes less useful due to the nonlinearity of the Navier-Stokes equation ( or more fundamentally, the general momentum conservation equation ), but the analogy between heat and mass transfer remains good.

While studying these languages, Abel published his first notable work in 1824, Mémoire sur les équations algébriques où on démontre l ' impossibilité de la résolution de l ' équation générale du cinquième degré ( Memoir on algebraic equations, in which the impossibility of solving the general equation of the fifth degree is proven ).

At age 19, he showed there is no general algebraic solution for the roots of a quintic equation, or any general polynomial equation of degree greater than four, in terms of explicit algebraic operations.