ruler$71361$ - traduzione in greco
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ruler$71361$ - traduzione in greco

SET OF MARKS AT INTEGER POSITIONS ALONG AN IMAGINARY RULER SUCH THAT NO TWO PAIRS OF MARKS ARE THE SAME DISTANCE APART
Optimal Golomb ruler; Optimal Golomb Ruler; Golomb Ruler; OGR; Coulomb ruler; Optimal Golomb Rulers; Golomb rulers
  • Golomb ruler of order 4 and length 6. This ruler is both ''optimal'' and ''perfect''.
  • Example of a conference room with proportions of a [0, 2, 7, 8, 11] Golomb ruler, making it configurable to 10 different sizes.<ref name="ErdősTurán1941"/>
  • The perfect circular Golomb rulers (also called [[difference set]]s) with the specified order. (This preview should show multiple concentric circles. If not, click to view a larger version.)

ruler      
n. ρίγα, κυβερνήτης, χάρακας
slide rule         
  • Quadratic and reciprocal scales
  • 1763 illustration of a slide rule
  • [[Faber-Castell]] slide rule with pouch
  • Electronic Calculating Punch]] explicitly comparing electronic computers to engineers calculating with slide rules
  • This slide rule is positioned to yield several values: From C scale to D scale (multiply by 2), from D scale to C scale (divide by 2), A and B scales (multiply and divide by 4), A and D scales (squares and square roots).
  • A duplex slide rule set to multiply any 2 by any number up to 50.
  • A slide rule made from index cards marked with powers of 2.
  • 550px
  • 300px
  • 300px
  • Engineer using a slide rule, with mechanical calculator in background, mid 20th century
  • The [[TI-30]] scientific calculator, introduced for under US$25 in 1976
  • adj=on}} teaching slide rule compared to a normal-sized model
MECHANICAL ANALOG COMPUTER
Slide ruler; Slide rules; Cursor (slide rules); Slide-rule; Sliderule; Slipstick; Slipsticks; Circular slide rule; Addition Slide Rule; Slide Rule; Cursor (slide rule); Circular calculator; Slide rule calculator; Sliderules; Wheel (slide rule); Cylindrical slide rule
λογαριθμικός κανόνας
set square         
GEOMETRY DEVICE USED FOR TECHNICAL DRAWING
Set Square; Drafting triangle; 📐; Triangle rule; Geometry set square; Geometry triangle; Triangle ruler; Triangle (drawing tool); Set square (drawing tool); 90-45-45 set square; 30-60-90 set square; 30-60-90 triangle (drawing tool); 90-45-45 triangle (drawing tool); 45-45-90 triangle (drawing tool); 90-60-30 triangle (drawing tool); Geodreieck; Geometriedreieck; Geometrie-Dreieck; Geo-Dreieck; Protractor triangle; Triangle protractor; Navigation protractor triangle; Navigational triangle (tool); Navigation triangle (tool); Navigational triangle (drawing tool); Navigation triangle (drawing tool); Nautical navigational triangle; Nautical set square; Portland navigational triangle; Portland triangle; Portland protractor triangle; Kent-type triangle; Kent triangle; Inoue-type A nautical triangle; Inoue-type B nautical triangle; Inoue-type nautical triangle; Inoue-type triangle; Inoue triangle; Plotting triangle; Course triangle; Yachtsmen triangle; Supporting triangle; Aristo triangle; TZ-Dreieck; TZ triangle; Triangular ruler
γνώμονας

Definizione

ruler
n.
1.
Governor, sovereign, monarch, king, lord, master.
2.
Director, manager.
3.
Rule.

Wikipedia

Golomb ruler

In mathematics, a Golomb ruler is a set of marks at integer positions along a ruler such that no two pairs of marks are the same distance apart. The number of marks on the ruler is its order, and the largest distance between two of its marks is its length. Translation and reflection of a Golomb ruler are considered trivial, so the smallest mark is customarily put at 0 and the next mark at the smaller of its two possible values. Golomb rulers can be viewed as a one-dimensional special case of Costas arrays.

The Golomb ruler was named for Solomon W. Golomb and discovered independently by Sidon (1932) and Babcock (1953). Sophie Piccard also published early research on these sets, in 1939, stating as a theorem the claim that two Golomb rulers with the same distance set must be congruent. This turned out to be false for six-point rulers, but true otherwise.

There is no requirement that a Golomb ruler be able to measure all distances up to its length, but if it does, it is called a perfect Golomb ruler. It has been proved that no perfect Golomb ruler exists for five or more marks. A Golomb ruler is optimal if no shorter Golomb ruler of the same order exists. Creating Golomb rulers is easy, but proving the optimal Golomb ruler (or rulers) for a specified order is computationally very challenging.

Distributed.net has completed distributed massively parallel searches for optimal order-24 through order-28 Golomb rulers, each time confirming the suspected candidate ruler.

Currently, the complexity of finding optimal Golomb rulers (OGRs) of arbitrary order n (where n is given in unary) is unknown. In the past there was some speculation that it is an NP-hard problem. Problems related to the construction of Golomb rulers are provably shown to be NP-hard, where it is also noted that no known NP-complete problem has similar flavor to finding Golomb rulers.