In 1929, Mojżesz Presburger showed that the theory of natural numbers with addition and equality ( now called Presburger arithmetic in his honor ) is decidable and gave an algorithm that could determine if a given sentence in the language was true or false.

In addition, a consistent formal theory that contains the first-order theory of the natural numbers

According to the special theory of relativity, the aberration looks as a transform of the celestial sphere due to different frames of reference and is virtually a special case of velocity addition, namely one of the light beam and frames ' relative velocity v. The formula from relativistic aberration can be simplified to

String theory requires that, in addition to the three spatial dimensions we observe, there exist additional dimensions that are curled up or compactified ( see also Kaluza-Klein theory ).

In addition, relativity theory shows that in moving frames of reference a magnetic field transforms to a field with a nonzero electric component and vice versa ; thus firmly showing that they are two sides of the same coin, and thus the term " electromagnetism ".

In addition, many scholars in support of this theory believe that there is content within 1 Peter that directly mirrors the situation as portrayed in Pliny ’ s letter.

An example of such a finite field is the ring Z / pZ, which is essentially the set of integers from 0 to p − 1 with integer addition and multiplication modulo p. It is also sometimes denoted Z < sub > p </ sub >, but within some areas of mathematics, particularly number theory, this may cause confusion because the same notation Z < sub > p </ sub > is used for the ring of p-adic integers.

( Here, Peano Arithmetic ( PA ) is understood as the first-order theory of arithmetic with symbols of addition and multiplication, and schema of recursion.

In addition to specific predictions, certain of Marx's theories, such as his labour theory of value, have also been criticised.

Bradley explained this effect in the context of Newton's corpuscular theory of light, by showing that the aberration angle was given by simple vector addition of the Earth's orbital velocity and the velocity of the corpuscles of light, just as vertically falling raindrops strike a moving object at an angle.

In addition to basic theory, a good teacher will stress musicality, or how to make the music sound good.

In addition, the authors of the 2007 study above state that " because of the use of the term ' nuclear autumn ' by Thompson and Schneider, even though the authors made clear that the climatic consequences would be large, in policy circles the theory of nuclear winter is considered by some to have been exaggerated and disproved Martin, 1988.

In addition to the possible terms given, Kaya Yilmaz presents the idea that when studying this theory one must remember that there is not one definition, hence the multiple provided.

In addition, he denounces the traditional epistemological perspectives of Representationalism and Correspondence theory that rely upon the independence of knowers and observers from phenomena and the passivity of natural phenomena in relation to consciousness.

Presburger arithmetic is the first-order theory of the natural numbers with addition, named in honor of Mojżesz Presburger, who introduced it in 1929.

However, Principia Mathematica required, in addition to the basic axioms of type theory, three further axioms that seemed to not be true as mere matters of logic, namely the axiom of infinity, the axiom of choice, and the axiom of reducibility.

Plato's Forms include numbers and geometrical figures, making them a theory of mathematical realism ; they also include the Form of the Good, making them in addition a theory of ethical realism.

In addition, Spearman and Thurstone both made important contributions to the theory and application of factor analysis, a statistical method developed and used extensively in psychometrics.

In addition, persons with paralyzed vocal folds can produce phonation, which would not be possible according to this theory.

In the important method known as perturbation theory, one uses the analytic result for a simple quantum mechanical model to generate a result for a more complicated model that is related to the simpler model by ( for one example ) the addition of a weak potential energy.

In addition, the notion of " force mediating particle " comes from perturbation theory, and thus does not make sense in a context of bound states.

The theory is successful in that one mode will always correspond to a graviton, the messenger particle of gravity ; however, the price to pay are unusual features such as six extra dimensions of space in addition to the usual three for space and one for time.

Multiplication, subtraction, and addition can then be accomplished as they appear in the equation by starting at the left end of the equation and working toward the right.

In addition, dirt particles can be held onto a soiled surface by sticky substances or by the surface tension of liquids, including liquid greases.

and natural waters, in addition, often contain impurities such as calcium salts which can react with soils to make them more difficult to remove.

The effect of drugs that act on the iodide-concentrating mechanism can be counteracted by addition of relatively large amounts of iodine to the diet.

The foaming can be accomplished at some future time at a different location by the addition of the correct proportion of catalyst in solution.

Just before game time, Robinson's pretty wife, Connie informed him that an addition to the family can be expected late next summer.

AAC can be a permanent addition to a person's communication or a temporary aid.

Acid-base conjugate pairs differ by one proton, and can be interconverted by the addition or removal of a proton ( protonation and deprotonation, respectively ).

In addition, the exterior of an adobe wall can be covered with glass to increase heat collection.

In addition, the researchers also mention that the shifting robot can even display an individual's hair style and skin color if a photo of their face is projected onto the 3D Mask.

Such modifications can also determine the localization of the protein, e. g., the addition of long hydrophobic groups can cause a protein to bind to a phospholipid membrane.

A stream anchor, which is usually heavier than a kedge anchor, can be used for kedging or warping in addition to temporary mooring and restraining stern movement in tidal conditions or in waters where vessel movement needs to be restricted, such as rivers and channels.

For example, if the numbers involved in a computation may be arbitrarily large, the time required by a single addition can no longer be assumed to be constant.

If the amount in the sample is below an instrument's range of measurement, the method of addition can be used.

Standard addition can be applied to most analytical techniques and is used instead of a calibration curve to solve the matrix effect problem.

The University can rarely provide all the necessary training in first hand experience that an apprenticeship can, and therefore in addition to graduate level training the profession also tends towards encouraging conservation students to spend time as an intern.

In addition the fixed cell structure means that ATM can be readily switched by hardware without the inherent delays introduced by software switched and routed frames.

While acrylic retarders can slow drying time to several hours, it remains a relatively fast-drying medium, and the addition of too much acrylic retarder can prevent the paint from ever drying properly.

In addition, they can develop considerable amount of shame over their inadequacy to liberate their parents from alcoholism.

On some occasions a patient with a brain AVM may become aware of the noise, which can compromise hearing and interfere with sleep in addition to causing psychological distress.

In addition, cutting operations can smear the lead globules over the surface.