While at university, Gauss independently rediscovered several important theorems ; his breakthrough occurred in 1796 when he showed that any regular polygon with a number of sides which is a Fermat prime ( and, consequently, those polygons with any number of sides which is the product of distinct Fermat primes and a power of 2 ) can be constructed by compass and straightedge.

This was a major discovery in an important field of mathematics ; construction problems had occupied mathematicians since the days of the Ancient Greeks, and the discovery ultimately led Gauss to choose mathematics instead of philology as a career.

Gauss proved the method under the assumption of normally distributed errors ( see Gauss – Markov theorem ; see also Gaussian ).

German 10-Deutsche Mark banknote ( 1993 ; discontinued ) featuring Gauss

Several other experiments followed, with André-Marie Ampère, who in 1820 discovered that the magnetic field circulating in a closed-path was related to the current flowing through the perimeter of the path ; Carl Friedrich Gauss ; Jean-Baptiste Biot and Félix Savart, both of which in 1820 came up with the Biot-Savart Law giving an equation for the magnetic field from a current-carrying wire ; Michael Faraday, who in 1831 found that a time-varying magnetic flux through a loop of wire induced a voltage, and others finding further links between magnetism and electricity.

* Excerpt from Siege of the South Pole ; includes picture of Gauss under sail

The integral of the Gaussian curvature over the whole surface is closely related to the surface's Euler characteristic ; see the Gauss – Bonnet theorem.

The discrete analog of curvature, corresponding to curvature being concentrated at a point and particularly useful for polyhedra, is the ( angular ) defect ; the analog for the Gauss – Bonnet theorem is Descartes ' theorem on total angular defect.

Probably Gauss first realized this, and used it to prove the impossibility of some constructions ; only much later did Hilbert find a complete set of axioms for geometry.

* Carl Friedrich Gauss developed a fruitful collaboration with the physics professor Wilhelm Weber ; it led to new knowledge in the field of magnetism.

Generalizations of the Gauss – Bonnet theorem to n-dimensional Riemannian manifolds were found in the 1940s, by Allendoerfer, Weil, and Chern ; see generalized Gauss – Bonnet theorem and Chern – Weil homomorphism.

In contrast, one of the basic theorems in algebraic number theory asserts that the class group of the ring of integers of a number field is finite ; its cardinality is called the class number and it is an important and rather mysterious invariant, notwithstanding the hard work of many leading mathematicians from Gauss to the present day.

Gauss used R and N to denote residuacity and non-residuacity, respectively ;

He studied mathematics and astronomy from 1811 at the University of Göttingen under Carl Friedrich Gauss ; but he enlisted in the Hanseatic Legion for the campaign of 1813 – 1814, and became lieutenant of artillery in the Prussian army in 1815.

There he completed his investigation of the comet of 1680, for which the Cotta prize was awarded to him in 1817 by judges Gauss and Olbers ; he correctly assigned a period of 71 years to the comet of 1812.

In " twos in ", binary quadratic forms are of the form, represented by the symmetric matrix ; this is the convention Gauss uses in Disquisitiones Arithmeticae.

However, Gauss was not the first to suggest the use of the combination of morphine and scopolamine as a surgical anesthesia ; in 1899, a Dr. Schneiderlin " recommended the use of scopolamine, combined with morphia, for the production of surgical anaesthesia ".

The Gauss sums are ubiquitous in number theory ; for example they occur significantly in the functional equations of L-functions.

Adrain, Gauss, and Legendre all motivated the method of least squares by the problem of reconciling disparate physical measurements ; in the case of Gauss and Legendre, the measurements in question were astronomical, and in Adrain's case they were survey measurements.

Examples of complete exponential sums are Gauss sums and Kloosterman sums ; these are in some sense finite field or finite ring analogues of the gamma function and some sort of Bessel function, respectively, and have many ' structural ' properties.

Mr. Booker T. W. Jones Food Technician First Class is not sad ; ;

Nami boarded the plane between 7: 39 am and 7: 48 am ; seated in First Class 3C, next to Saeed al-Ghamdi.

Domain ; Kingdom ; Phylum ; Class ; Order ; Family ; Genus ; Species.

; CEPHALOSPORINASE, Molecular Class C ( not inhibited by clavulanic acid )

; GROUP 2a: PENICILLINASE, Molecular Class A

; GROUP 2b: BROAD-SPECTRUM, Molecular Class A

; GROUP 2be: EXTENDED-SPECTRUM, Molecular Class A

; GROUP 2br: INHIBITOR-RESISTANT, Molecular Class A ( diminished inhibition by clavulanic acid )

; GROUP 2c: CARBENICILLINASE, Molecular Class A

; GROUP 2d: CLOXACILANASE, Molecular Class D or A

; GROUP 2e: CEPHALOSPORINASE, Molecular Class A

; GROUP 2f: CARBAPENAMASE, Molecular Class A

; METALLOENZYME, Molecular Class B ( not inhibited by clavulanic acid )

Class actions are commonly referred to as class action suits ; however, this phrase is redundant as the historical distinction between " actions " at law and " suits " in equity is no longer recognized.

The preamble to the Class Action Fairness Act stated that some abusive class actions harmed class members with legitimate claims and defendants that have acted responsibly ; adversely affected interstate commerce ; and undermined public respect for the country's judicial system.

The British built a series of destroyers ( the A Class to I Class ) which were about 1, 400 tons standard displacement, had four guns and eight torpedo tubes ; the American Benson class of 1938 similar in size, but carried five guns and ten torpedo tubes.

Demographics of Angola, Data of Food and Agriculture Organization | FAO, year 2005 ; Number of inhabitants in thousands.

Population of Antigua and Barbuda, Data of FAO, year 2005 ; Number of inhabitants in thousands.

Demographics of Botswana, Data of Food and Agriculture Organisation | FAO, year 2008 ; Number of inhabitants in thousands.

Demographics of Burkina Faso, Data of Food and Agriculture Organization | FAO, year 2005 ; Number of inhabitants in thousands.

Demographics of Burundi, Data of Food and Agriculture Organization | FAO, year 2005 ; Number of inhabitants in thousands.

" Number of times batted, except that no time at bat shall be charged when a player: ( 1 ) hits a sacrifice bunt or sacrifice fly ; ( 2 ) is awarded first base on four called balls ; ( 3 ) is hit by a pitched ball ; or ( 4 ) is awarded first base because of interference or obstruction ..."

Demographics of Chad, Data of Food and Agriculture Organization | FAO, year 2005 ; Number of inhabitants in thousands.

Demographics of Cape Verde, Data of Food and Agriculture Organization | FAO, year 2005 ; Number of inhabitants in thousands.

Demographics of Central African Republic, Data of FAO, year 2005 ; Number of inhabitants in thousands.

Demographics of Côte d ' Ivoire, Data of Food and Agriculture Organization | FAO, year 2005 ; Number of inhabitants in thousands.

Demographics of Comoros, Data of Food and Agriculture Organization | FAO, year 2005 ; Number of inhabitants in thousands.

The following information was stamped on the tags: Number, Name, Initials, & Religion ; Blood Type was stamped on reverse.

This core memory board, Part Number 50823 D8 7504-14166, and with layout artwork copyrighted 1971 by DGC, was organized in planar fashion as four groups of four banks, each bank carrying two sets of core in a 64 by 64 matrix ; thus there were 64 x 64 = 4096 bits per set, x 2 sets giving 8, 192 bits, x 4 banks giving 32, 768 bits, x 4 goups giving a total of 131, 072 bits, and this divided by the machine word size of 16 bits gave 8, 192 Words of memory.

Demographics of the Federated States of Micronesia, Data of FAO, year 2005 ; Number of inhabitants in thousands.

Also based in London, Le Nouveau Guignol form the UK's only permanent reparatory Grand Guignol company ; plays within their current repertoire include French Guignol classics such as " The Final Kiss ", " Tics ... Or Doing the Deed ", " The Lighthouse Keepers ", " Private Room Number Six " and " The Kiss of Blood ".

* Barnes Reloading Manual Number 3 ; Edited by Dave Scovill, LP, 2001

* Speer Reloading Manual Number 13 ; Book by Speer, Blount, Inc., 1998

Demographics of Laos, Data of FAO, year 2005 ; Number of inhabitants in thousands.

Historical population of Lesotho, Data of FAO, year 2005 ; Number of inhabitants in thousands.

Demographics of Libya, Data of FAO, year 2006 ; Number of inhabitants in thousands.

Demographics of Malawi, Data of FAO, year 2005 ; Number of inhabitants in thousands.

Demographics of the Maldives, Data of FAO, year 2005 ; Number of inhabitants in thousands.

Demographics of Mali, Data of FAO, year 2005 ; Number of inhabitants in thousands.