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Topic: Scale (ratio)


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In the News (Sun 27 Dec 09)

  
  Scale (ratio) - Wikipedia, the free encyclopedia
For example, for a scale model of an object, the ratio of corresponding lengths is a dimensionless scale, e.g.
Correspondingly, torques could be represented on the same map by areas in a scale of 1 m² ;: 12 500 Nm, which is equal to 1 ;: 12 500 N. Torques in the plane of the map could be represented by arrows with an independent scale of e.g.
The scale of a map or enlarged or reduced model indicates the ratio between the distances on the map or model and the corresponding distances in reality or the original.
en.wikipedia.org /?title=Scale_(measurement)   (470 words)

  
 Geometric series article - Geometric series mathematics sequence numbers scale factor ratio geometric sequence - ...   (Site not responding. Last check: 2007-10-13)
Thus without loss of generality a geometric sequence can be written as a(r^0,r^1,r^2,r^3,...)\, where r is the common ratio and a is a scale factor.
Thus the common ratio gives a family of geometric sequences whose starting value is determined by the scale factor.
For example, a sequence with a common ratio of 2 and a scale factor of 1 is
www.what-means.com /encyclopedia/Geometric_series   (558 words)

  
 [No title]   (Site not responding. Last check: 2007-10-13)
Interval scales have a defined unit of measurement and the different between two interval level numbers is a measure of the difference in the property being measured.
Ratio Scales: The ratio scale is similar to the interval scale, but the position of zero is unique and indicates absence of the property.
In the ratio scale it is sensible to compare measurements by ratios, for example it is sensible to say that one person is twice as tall as another person.
www.math.mun.ca /~hongwm/S4590/Lecture_Notes/lecture_02.html   (941 words)

  
 What is a Ratio Scale?   (Site not responding. Last check: 2007-10-13)
Height is on a ratio scale when measured from sea- level, e.g., "one mountain is twice as high as another", but on an interval scale when measured from the mean of a sample of mountains.
When the "average" of a set of ratio scale numbers is intended to summarize their ratio, not interval, property, their ratio relationship with the scale's particular origin must be maintained.
69) specifies a scale of ratios, analogous to the Richter scale for earthquakes.
www.rasch.org /rmt/rmt94b.htm   (546 words)

  
 Scale2
Map scale is the relationship between the dimensions of a map and the dimensions of the Earth.
The scale ratio 1:63,360 means that one unit of distance on the map represents 63,360 of the same units of distance on the Earth.
Because the scale ratio is a constant, it is true for whatever units in which the fraction is expressed.
www.twdb.state.tx.us /mapping/GIS_101/ExploringTexas/Scale2.htm   (669 words)

  
 Ratio and Scale
The scale factor is the ratio of distances between equivalent points on two geometrically similar shapes.
The scale of a model can be represented as a ratio, which indicates the relative size of the model and the real object.
The scale of a map used by walkers is 1:25,000.
www.crocodile-clips.com /absorb/AM4/sample/KCA024.html   (1386 words)

  
 Drawing scale (2 of 9): Ratios [www.lgflhome.net]
Scales are used as a way of helping to show large real life objects, such as buildings, on a drawing.
A scale uses a ratio to show how the size of a real object compares to the size of the same object when it is drawn or made as a model.
For example, if the wall of a room is 4m (or 4000 mm) long, and this is shown on a drawing as 400mm long, then the ratio would be one to ten, because the real size of the object is ten times bigger than the size shown on the drawing.
www.lgflhome.net /southgate/web/NLN2/Construction/drawing_scale/ratio   (118 words)

  
 Encyclopedia topic: Scale (map)   (Site not responding. Last check: 2007-10-13)
A map (A diagrammatic representation of the earth's surface (or part of it)) is a hardcopy representation of part of the earth's surface and it is essential that a scale bar and scale ratio be present on the map to convey the reduction factor.
Maps are usually produced at standard scale factors of (say) 1:10,000 or 1:50,000 or 1:100,000 and all you need to do is take a measurement on the map (in mm) and multiply that figure by the scale factor to determine the distance on the ground.
These maps displayed scale ratios but often they were of the form 60 chains to 1 inch or 2 miles to 1 inch etc
www.absoluteastronomy.com /encyclopedia/s/sc/scale_(map).htm   (286 words)

  
 Mathematical Modeling   (Site not responding. Last check: 2007-10-13)
In geometric similitude, the ratio of all dimensions must be equal to the scale ratio between the prototype and the model.
The scale ratio is the model dimension divided by the prototype dimension.
The ratio of all areas will therefore be equal to the square of the scale ratio and the ratio of all volumes will be equal to the cube of the scale ratio.
www.uidaho.edu /engr/mecheng/classes/me391/Group2/nateb.html   (470 words)

  
 Astron. Astrophys. 344, 459-471 (1999)
Assuming a scale height of 150 pc the population has to be greater than 270 in order to explain the discovery of one source such as RX J0019.8+2156 at such a large scale height.
Assuming a scale height of 105 pc for the source distribution 2 sources are expected to be found at a distance from the galactic plane as large as in T Pyx (430 pc).
Scaling with the mass ratio of the Andromeda galaxy and the Milky Way galaxy, which is about 2, one expects from the population synthesis calculations of Yungelson et al.
aa.springer.de /papers/9344002/2300459/sc4.htm   (2632 words)

  
 Scale and Area Measurement   (Site not responding. Last check: 2007-10-13)
Scale is the ratio of a distance on an aerial photograph to that same distance on the ground in the real world.
The scale ratio is always written as one unit on the photo or map to the corresponding number of units on the ground.
Representative fraction scale (RF): Two other terms refer to the representative fraction scale - the fractional scale and the RF scale which is the scale ratio written in fractional form, 1/20,000.
www.geog.ucsb.edu /~jeff/115a/lectures/scale_and_area_measurement.html   (2426 words)

  
 OPB NTTI: Scale Me Down
The scaling factor is the amount by which the drawing has been enlarged or reduced compared to the actual object.
If they are using a scale (ratio) of 1 inch to 12 inches, then all measurements must be divided by 12 (or multiplied by 1/12) so each part is 12 times smaller than the original.
Using that scale, the sides of the base are 7.7 cm and the height is 4.6 cm.
www.opb.org /education/ntti/2003/scalemedown   (2727 words)

  
 [No title]   (Site not responding. Last check: 2007-10-13)
Situated proximate to, and preferably in the same tire- travel path with, scale plate 10 is a deformation bar 20 also supported by load cells, preferably the same load cells 14a, 14b, 14c and 14d used for the scale plate 10 measurements.
A target threshold ratio is the lesser of 85 percent of the maximum ratio for that tire, as determined from experimental data; or the ratio corresponding to 25 psi for that tire, as determined by experimental data.
Alternatively, the ratio, bar/scale, may be generalized to bar/f (scale), where f (scale) is a generalized function of scale weight, for example, a polynomial in scale weight.
www.wipo.int /cgi-pct/guest/getbykey5?KEY=99/49286.000629&ELEMENT_SET=DECL   (3208 words)

  
 Meriam Library -- Map Collection -- Map Scales
Scale is the relationship between distances on the map and distances in the 'real world'.
Map scales are usually given as a ratio, i.e.
One unit of measurement on the map represents 100,000 of the same unit of measurement on the ground.
www.csuchico.edu /lbib/maps/mapscales.html   (194 words)

  
 Choosing a Scale for Masters
If a shape is scaled, and the page is unscaled or has a very different scale (or vice versa), the shape might behave in ways the user does not expect when the shape is dropped onto the page.
Set the scale of a master in between the largest and smallest scales in which the master is likely to be used.
In general, set the scale of a master equal to the scale of the drawing page with which the master will be used.
msdn.microsoft.com /library/en-us/devref/HTML/DVS_12_Scaled_Shapes_and_Measured_Drawings_486.asp?frame=true   (890 words)

  
 All About Maps : Scale   (Site not responding. Last check: 2007-10-13)
A map scale is a ratio that expresses the relationship between distances on the map and corresponding distances in the real world.
One common scale is 1:50,000, this means that one unit on the map (centimetre, inch, shoe length, pinkie fingernail, whatever...) is equivalent to 50,000 of those units (centimetre, inch, shoe length, pinkie fingernail, whatever...) in the real world.
When reporting a scale, the units of distance must be specified if they are not the same between the map and the real world.
collections.ic.gc.ca /allaboutmaps/aaMaps_M3_scale_Z.htm   (229 words)

  
 The World of Large Scale Model Railroading
When these models are scaled to run on 45 mm track, the physical size of the models often work out to be nearly the same so that when the models are run together, they look about the same size though there may be noticeable differences in style and era.
The 1:22.5 and 1:24 scales remain the chosen ones for narrow gauge equipment though 1:20 is quickly gaining ground in NA and will no doubt become the reigning scale.
As any indoor large scale layout is built upon the same lines as a typical HO layout, we will not go into the details here, instead will focus on the outdoor environment as it presents new challenges.
members.fortunecity.com /gknowles/articles/large_scale/gn3_clinic.htm   (5008 words)

  
 Analog scale, magnitude estimation, and person trade-off as measures of health utility: biases and their correction
Ratio inconsistency was measured as before, as the log of the product of the smaller steps divided by the larger step (e.g., BBDD vs. BB times BB vs. B, divided by BBDD vs. B - the product being taken of this and the corresponding measure for deafness).
The mean ratio inconsistency for PTO was not significantly different from zero after the checks, and it changed significantly (from -.35 to.17 for the 18 subjects with complete data, p =.027) from before to after.
Ratio inconsistency went in both directions for both measures, even though the mean value of ratio inconsistency was negative for PTO before the consistency checks.
www.sas.upenn.edu /~baron/medu.htm   (8653 words)

  
 Chapter 6. Transformations and resampling
Scaling an image is a matter of scaling both the x and y axes according to a given scale factor when retrieving sample values.
When enlarging this problem is especially apparent in Figure 6.3, “scaling” the problem is quite apparent we have "enlarged" each sample (pixel) to cover a larger area, this results in blocky artifacts within the image.
When retrieving a sample value a bilinear interpolation would be performed at both the version of the image larger than the scaling ratio as well as the image smaller than the scaling ratio.
pippin.gimp.org /image_processing/ch06.html   (804 words)

  
 The Pitch and Scale of the Great Highland Bagpipe
A simple example is the octave (from low A to high A) in which the frequency ratio is 2:1 and every harmonic of the upper note coincides with a harmonic of the lower one.
In solo pipe music the frequency ratio we are concerned with is always that between the chanter and the drones.
Not all of the frequency ratios on the chanter are universally agreed-upon, and tuning styles, like the overall pitch, have changed with time.
www-personal.umich.edu /~emacpher/pipes/acoustics/pipescale.html   (1406 words)

  
 Learning ratios and proportions through scale drawings.   (Site not responding. Last check: 2007-10-13)
Given the ratios, the children will be able to make a scale drawing of the classroom.
Explain that this is a ratio of three triangles to four squares which can be written as 3 to 4, 3:4, or 3/4.
Discuss the map ratio which is the scale of the map.
www.iit.edu /~smile/ma8809.html   (559 words)

  
 scale
The ratio on a map of the distance between two points on the ground and the same two points on the map.
The ratio between linear distance on a map, chart, globe, model, or photograph and the corresponding distance on the surface being mapped.
It may be expressed in the form either of a direct or verbal statement using different units (e.g., 1/24,000 or 1: 24,000, indicating that one unit on the map represents 24,000 identical units on the ground) or a graphic measure (such as a bar or line marked off in feet, miles, or kilometers).
www.webref.org /geology/s/scale.htm   (412 words)

  
 scale and ratio   (Site not responding. Last check: 2007-10-13)
An aspect ratio of 4:3 means that the image is 4 units long by 3 units high, e.g.
Note that cameras with a 4:3 ratio sensor produce images that will be cropped to fit on 6x4 paper, since the image when set to 6 inches long will be 4.5 inches wide.
It is the same ratio as 6*4 prints which is roughly the same as a 35 mm negative.
www.thehelparchive.com /new-2857186-77.html   (1587 words)

  
 British Manufacturers - Ratio   (Site not responding. Last check: 2007-10-13)
Ratio make a wide range of very detailed kits of trackside buildings and the like.
Apparently, however, Ratio will continue to operate as a semi-independent unit in Buckfastleigh and won’t move to Beer.
Ratio publish a nice half-A4 sized catalogue, with detailed full colour photos of all their products.
teladesign.com /british-n-scale/ratio.html   (426 words)

  
 Ratio scale   (Site not responding. Last check: 2007-10-13)
A scale in which both intervals between values and ratios of values are meaningful.
For example, temperature measured in degrees Kelvin is a ratio scale because we know a meaningful zero point (absolute zero).
Compare this to interval scales in which ratios are not meaningful and ordinal scales in which intervals are not meaningful.
eksl-www.cs.umass.edu /eis/pages/glossary/entries/ratio-scale.html   (54 words)

  
 R: Add Scale to Existing Unprojected Map   (Site not responding. Last check: 2007-10-13)
Adds a scale to an existing map, both as a ratio and a distance gauge.
The scale is calculated from the displayed graph's plotting parameters, and the latitude of the location at which the distance gauge will be displayed.
The circumference at the given latitude is interpolated from a radius of 6356.78 km at the pole and 6378.16 km at the equator.
www.maths.lth.se /help/R/.R/library/maps/html/map.scale.html   (196 words)

  
 Architects in Action--Mathematics/Physical Science lesson plan (grades 6-8)--DiscoverySchool.com   (Site not responding. Last check: 2007-10-13)
Explain that a scale is a ratio used to determine the size of a model of a real object.
The ratio of the small square to the larger is 5:10.
Therefore the ratio of girls to boys is 2 to 1, or 2:1.
school.discovery.com /lessonplans/programs/architectsinaction   (1769 words)

  
 Ratio Scale   (Site not responding. Last check: 2007-10-13)
When a scale consists not only of equidistant points but also has a meaningful zero point, then we refer to it as a ratio scale.
Ratio scales should be used to gather quantitative information, and we see them perhaps most commonly when respondents are asked for their age, income, years of participation, etc. In order to respect the notion of equal distance between adjacent points on the scale, you must make each category the same size.
Ratio scales are the most sophisticated of scales, since it incorporates all the characteristics of nominal (definition of nominal scale), ordinal (definition of ordinal scale) and
www.ryerson.ca /~mjoppe/ResearchProcess/RatioScale.htm   (198 words)

  
 Scales of Measurement
You are only allowed to examine if a nominal scale datum is equal to some particular value or to count the number of occurrences of each value.
For example, temperature scales are interval data with 25C warmer than 20C and a 5C difference has some physical meaning.
This ratio hold true regardless of which scale the object is being measured in (e.g.
www.math.sfu.ca /~cschwarz/Stat-301/Handouts/node5.html   (438 words)

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