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Topic: Continuous path


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In the News (Thu 24 Dec 09)

  
  Path (topology) - Wikipedia, the free encyclopedia
Paths and loops are extremely important in branch of algebraic topology called homotopy theory.
The equivalence class of a path f under this relation is called the homotopy class of f, often denoted [f].
Although path composition is not associative at the level of paths, it is associative at the level of homotopy.
en.wikipedia.org /wiki/Path_(topology)   (533 words)

  
 The Royal Easter Show Pavillions - Accessibility.com.au   (Site not responding. Last check: 2007-10-25)
There is a continuous path of travel, 3 accessible toilets (inside and outside), wheelchair seating and a hearing loop.
There is a continuous path of travel, lift, stair, and 1 accessible toilet on the ground floor.
There is a continuous path of travel, and 1 accessible toilet on the ground floor.
www.accessibility.com.au /archive/easter_show/royal_easter_show3.htm   (511 words)

  
 Sagnac and Fizeau
Therefore, given either a continuous path or else a path with segments small enough to be treated as inertial over the time period required for the signal to traverse from one mirror to the next, equation (1) still applies, except that instead of the left hand expression equaling zero, it equals some non-zero (dt)
Hence equation (5) is exact only for continuously specified paths, such as are given by an optical fiber (or people walking along a continuous path painted on a rotating platform).
This is seldom mentioned in discussions of the Sagnac effect, perhaps justifiably, because the "pure" Sagnac effect consists of the path dependence of the optical path length with respect to a rotating system, as distinct from the Fizeau effect of light propagating in a moving medium.
www.mathpages.com /home/kmath169/kmath169.htm   (2000 words)

  
 CNC Control   (Site not responding. Last check: 2007-10-25)
2: Continuous Path Contouring on a CNC mill or lathe.
Axial Path - The tool moves in a right-angle path parallel to the two positioning axes, X and Y. In this mode, the controller commands the tool to first move along the X axis and the Y axis would not move until the specified X coordinate position is reached.
The 45-degree path nearly always has two components; one that is 45 degrees and one that finishes the move at 90 or 0 degrees.
www.jjjtrain.com /vms/cnc_control.html   (1339 words)

  
 [No title]
Path connected is stronger than connected but not equivalent: the subset (x,sin(1/x)), x in R^+ cup (0,y), -1 leq y leq 1 of the plane with topology induced from the plane is connected but not path connected.
path homotopic +------------------------------------------------------------ path homotopic If f and g are and continuous homotopic maps from an interval to a space X, we say f and g are path homotopic if their images have the same end points.
For instance, the maps f(x) = x^2 and g(x) = x^3 are path homotopic on the closed interval from 0 to 1.
abel.math.harvard.edu /~knill/sofia/data/topology.txt   (1652 words)

  
 Jahna Concrete, Inc., Central Florida Ready Mix Concrete, Blocks, Products
One key for a house to survive the strong winds from a hurricane or tornado is maintaining a continuous Load Path.
A load path is made up of a chain of structural components such as roof truss members, metal connectors, nails, anchor bolts, wall studs, and floor joists to name a few.
The concept of a continuous load path must go into the design and construction of each and every connection when the structure is located in an area with the potential of high winds.
www.jahnaconcrete.com /exterior.html   (1423 words)

  
 EE4253 Convolutional Coding (3)
The best path is defined as the one which is closest (Hamming distance) to the received symbols, or which has the fewest number of bits which differ from the received symbols.
By choosing the 'best path so far' and moving on to the next stage, the overall best path will be the one with the smallest 'cumulative error' at it traverses the trellis.
Each path segment is shown with its corresponding dibits, and the cumulative error for each path is computed; however, where two paths arrive at the same state, only the one with the lowest cumulative error is retained, and the other is discarded.
www.ee.unb.ca /tervo/ee4253/convolution3.htm   (1303 words)

  
 Vacuum filterbelt apparatus - Patent 4265765
Vacuum filterbelt apparatus has a continuous belt moved by driving means along a continuous path which includes an operative portion at which filtering of material lying on the belt occurs.
This invention relates to vacuum filterbelt apparatus of the type having a continuous belt of resilient material movable by driving means along a continuous path which includes an operative path portion at which the upper face of the belt is concave.
The filtercloth rests on the ribs in the horizontal operative path portion of the belt but is deflected to travel separately from the belt outside the operative path portion, so that it is easily possible to clean the filtercloth and if necessary to remove any solid incrustation from the belt.
www.freepatentsonline.com /4265765.html   (1779 words)

  
 Modular wall component with insulative thermal break - Patent 6421972
The modular wall component of claim 10 wherein the upper and lower track members of the insulated frame structure are mechanically coupled to the upper and lower framing tracks of the open frame structure by a plurality of thermally insulative anchoring nuts in combination with a plurality of threaded fasteners.
The modular wall component of claim 1 wherein the interconnected structural frame members of the insulated frame structure are coupled to the interconnected structural frame members of the open frame structure by a plurality of thermally insulative anchoring nuts in combination with a plurality of threaded fasteners.
Still further, the present invention avoids the formation of continuous metal paths, and thus continuous thermal paths, by the means that it employs for coupling the various structural members to one another and the means by which the insulated frame structure 12 and the open frame structure 14 are joined together.
www.freepatentsonline.com /6421972.html   (8602 words)

  
 Other Examples from Sec   (Site not responding. Last check: 2007-10-25)
He travels on a continuous path and reaches the mountain top at 7PM.
T(t) – H(t) is a difference of continuous functions and thus continuous.
Since T(t) – H(t) is continuous and travels from a negative value to a positive value between t = 7AM and t = 7PM, then at some time between 7AM and 7PM T(t) – H(t) must equal 0.
users.stlcc.edu /amosher/ExSec2p4.htm   (297 words)

  
 Anzac Desktop Matrix Printers
Three paper paths; automatic forms loading; automatic forms ejection (document on demand) for both continuous and cut sheet stationery; automatic paper thickness detection and printhead adjustment.
Or park the current continuous form, and load the alternative continuous form from its parked position in the second continuous paper path for immediate printing.
For example, the single sheet forms can be set to load one inch beyond the top of form, one continuous paper path could be set for half inch, and the other continuous path set to print at line one.
www.anzacom.com /products/d_matrix/2330.htm   (431 words)

  
 Part 4 Project Performance — Get on the path to continuous improvement | WTN
Your journey along the path is taken in incremental steps by evolving your processes, the next one built on the last.
Continuous improvement is the defining characteristic of level 5, “Optimized.” There is a forward-looking understanding of issues and solutions.
It’s the ancestor of the maturity models that have an ultimate goal of continuous improvement.
wistechnology.com /article.php?id=859   (1008 words)

  
 Path Lifting Theorem   (Site not responding. Last check: 2007-10-25)
These neighborhoods cover the path, which is compact, so take a finite subcover.
Continue this process, untill there are a finite number of closed intervals covering I, and each maps to a subpath of g that is evenly covered by p.
This can be continued indefinitely, in both directions, lifting the image of the real line up to a preimage in s~.
www.mathreference.com /at-cov,lift.html   (423 words)

  
 Labyrinth   (Site not responding. Last check: 2007-10-25)
Inspired by a spiritual tradition meaningful in Church history throughout the centuries, The Prayer Path is a unique worship experience-a symbolic journey of prayer, self-discovery, and encountering God.
Unlike a traditional maze, the labyrinth has only one continuous path, leading each participant through eleven stations that focus on important aspects of spiritual life.
Because the Labyrinth is a path that is walked on a painted canvas, it is not accessible to those in wheelchairs.
www.harveyparkchristian.org /id96.htm   (397 words)

  
 Michigan Concrete Association - Cart Paths
The path (and, therefore, the paving machine) also needed to be tilted on a 2% grade for drainage so that golf play could resume immediately after a rain.
Course designer Mark DeVries also wanted the path to be an unobtrusive part of the landscape, out of "play"; and an aesthetic asset rather than an eyesore.
The 8-foot-wide path (extended to 10 feet near the clubhouse) was constructed over terrain so steep that, on some of the grades, the machine couldn't make it and had to be towed to the top by a dozer.
www.miconcrete.org /page.cfm/26   (765 words)

  
 The Path Planning Problem
A recent trend in the field is to consider the ``trajectory space'' [Ferbach 1996] where a whole path is represented by a single point.
Once again, we trade a simplification of the path planning problem (searching for a point) against a higher dimension of the search space (the dimension of the trajectory space is the number of parameters needed to specify completely a whole path).
This path is progressively modified in such a manner that the forbidden regions it crosses are reduced.
www.cs.cmu.edu /afs/cs/project/jair/pub/volume9/mazer98a-html/node2.html   (1527 words)

  
 There are many situations wehere one thing (person, animal, or machine) chases another. Some of the applications of ...   (Site not responding. Last check: 2007-10-25)
We usually set the time interval to be very small to assure accuracy of the solution and to approximate accurately the continuous movement of the chaser.
Figure 6: Paths of target (dotted curve) and chaser (solid curve) using the model of leading the tank by using the velocity.
Figure 7: Paths of target (dotted curve) and chaser (solid curve) using the model of leading the tank by using both the velocity and acceleration.
www.dean.usma.edu /math/pubs/mmm99/DDS3.HTM   (2625 words)

  
 Collision-free continuous path control of manipulators using genetic algorithms.   (Site not responding. Last check: 2007-10-25)
This paper presents a collision-free algorithm for continuous movement of the manipulator hand along a desired path.
This algorithm minimizes the distance between the actual position of the end effector tip and the desired path while the arm avoids the obstacles involved in its workspace.
The algorithm can be used in situations where continuous motion of the end-effector is required.
www.mech.upatras.gr /~nearchou/JSyEng.htm   (122 words)

  
 EE4253 Convolutional Coding (2)
It can be seen that that there is a single bit difference between the (incorrect) path which was received and the repaired path which was computed.
This suggests that if this path were correct, these exact six bit errors would have had to occur.
The second path must be discarded in favor of the previous result which was clearly the most likely occurence.
www.ee.unb.ca /tervo/ee4253/convolution2.htm   (1012 words)

  
 TVP Volume 1 Issue 1
Feller showed that every one-dimensional Markov process with a continuous path function is described by (2), where $\mathfrak{A}$ is the generalized second derivative.
We prove by this method that every continuous Markov process in a space of arbitrary dimension is governed by (2), where $\mathcal{A}$ is a generalized elliptical differential operator of the second order.
Our method can be applied not only to continuous Markov processes, but also to any Markov processes with path functions continuous on the right.
locus.siam.org /TVP/volume-01/art_1101004.html   (620 words)

  
 HOW THE PETRI-NETS ARE DERIVED FROM TREE-GENERATED ORDER . CONCEQUENCES TO THEIR IMPLEMENTATION .   (Site not responding. Last check: 2007-10-25)
path in X from x to y  is a continuous map f:[a,b] ®X of some closed  real interval into X,such that f(a)=x and f(b)=y.
A homotopy transformation of a path is a continuous transformation of it that fixes the end points and is realizable in a continuous way inside the topological space.
A universal covering tree of a graph G, covers any other covering graph of G. Remark 15 The flow-charts of programs  are finite connected graphs with two pointed vertices called the beginning and the end and with all their branches being oriented.
www.softlab.ntua.gr /~kyritsis/PapersInComputerScience/Hrm98Stf.htm   (1683 words)

  
 [No title]
Suppose $(M,d)$ is a metric space and $f:\lbrack 0,1\rbrack \rightarrow M$ is continuous and $f(0)\neq f(1)$.
Then $(\tilde f\circ \gamma) \ast (q\circ f\circ \beta)$ is a path in $\tilde X$ at $\tilde x_0$ and $p((\tilde f\circ \gamma) \ast (q\circ f\circ \beta))=(f\circ \gamma) \ast (f\circ \beta) =f(\gamma \ast \beta)=f($a path from $y_0$ to $\hat y)$.
Since $\tilde \alpha$ and $\tilde \beta$ are continuous at $s$, $\exists$ open neighborhood $T$ of $s$ such that $\tilde \alpha (T)\subset V$ and $\tilde \beta (T)\subset W$.
www.math.ucsb.edu /~moore/quals.txt   (4939 words)

  
 The fundamental group
Eventually, the part of the path that appears at the bottom is pulled through the top.
All paths that ``wrap around'' an even number of times are homotopic.
Try envisioning loop paths on the sphere; it can be seen that they all fall into one equivalence class.
msl.cs.uiuc.edu /planning/node143.html   (910 words)

  
 Pathwise connectedness   (Site not responding. Last check: 2007-10-25)
Since [0, 1] is connected every continuous image of it is also.
No continuous path can "get from the LH side to the RH side.
It is easy to find a (stright-line!) path between any two points.
www-groups.dcs.st-and.ac.uk /~john/MT4522/Lectures/L20.html   (226 words)

  
 Motion Planning Group - Media and Machines Lab
It is true that automatic methods are very good at computations which human operators find cumbersome and/or overly time consuming, e.g., detailed computations necessary to fully determine a continuous path.
The user had collected an approximate path to help the planner, later the planner used transformed this path to a collision free path.
Then we used the path generated for the easy version as an approximate path for harder problem.
www.cs.wustl.edu /~bayazit/index.php?page=haptic   (713 words)

  
 MFworks - Network Analysis - Finding the Shortest Path   (Site not responding. Last check: 2007-10-25)
The shortest path is delineated by the cells with the lowest value(s).
The value is the actual cost of using this path.
Using the Legend function this path can be derived by changing the color of the cells with the lowest value until a continuous path from origin to detination can be seen.
www.husdal.com /mfworks/showcase/web/ShortestPath.htm   (95 words)

  
 Arc Length   (Site not responding. Last check: 2007-10-25)
The tiny line segments hug the curve, and the sum of their distances approximates the length of the path.
Paths that have an upper bound, and hence a length, are called rectifyable.
If a path on [a,b] has length r and a path on [b,c] has length s, the combined path on [a,c] has length r+s.
www.mathreference.com /ca-path,length.html   (312 words)

  
 Quintapaths   (Site not responding. Last check: 2007-10-25)
I have always been fond of games like Hex and Bridg-It in which the goal is to create a continuous path.
My biggest influence was a path game involving hexagonal tiles called Psychepaths, by Charles Titus and Craige Schensted, now reincarnated as Kaliko (also published by Kadon).
Try making a continuous path of fl squares with the pieces arranged in a 10 by 10 square, as shown in figures 2a, 2b, 2c and 2d.
www.scottkim.com /quintapaths   (450 words)

  
 Part 5 Project Performance — Get on the path to continuous improvement | WTN
His unique insight was that the organization had to remove impediments to continuous improvement in a specific order if they were to succeed.
The process maturity framework was born, an evolutionary path to help organizations increase the capability of their processes in five stages.
At the highest level of maturity, an organization continuously evaluates the capability of its processes to pinpoint areas requiring the greatest improvement.
wistechnology.com /article.php?id=884   (1118 words)

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