Please could you explain me the word 'Spatial'?
155260
Of or relating to space\nExisting or happening in space.\n\nHave a look here:\nhttp://en.wikipedia.org/wiki/Spatial
738154
In mathematics, the Cartesian coordinate system is used to uniquely determine each point in the plane through two numbers, usually called the x-coordinate and the y-coordinate of the point. To define the coordinates, two perpendicular directed lines (the x-axis or abscissa and the y-axis or ordinate), are specified, as well as the unit length, which is marked off on the two axes (see Figure 1). Cartesian coordinate systems are also used in space (where three coordinates are used) and in higher dimensions.\n\nUsing the Cartesian coordinate system geometric shapes (such as curves) can be described by algebraic equations, namely equations satisfied by the coordinates of the points lying on the shape. For example, the circle of radius 2 may be described by the equation x² + y² = 4
741018
Hi there,\n\nTry looking for "Klein space" (without the 's). You get for instance this page : http://www.mccallie.org/myates/The%20Shape%20of%20Space/Student%20Projects/group10.htm
1130438
none of the above. your forgeting that we define movment based on something relative to location. there are 3 dimensions all which are defined from a point of origin. the earth can move which ever way you want it too based on what point of reference you wish to choose.
835566
Obviously from the word itself,\n\nGeometry comes from two greek words\n"geo" means earth\n"metry" means measurement\n\ntherefore it is earth measurement.\n\nBesides,\n\nGeometry is a branch of math that is full of measurement.\n\nFinding the area, perimeter and volume are measurement.\n\nSo there's no geometry without measurement
1008877
In cartography, as in all mappings, a vector implies direction & length (or force). I'm not familiar with other uses of the word... I usually have used the term in connection "cross-impact matricies." Hope that was helpful.
982451
in a graph, the x coordinate defines distance right or left.\n\nthe y coordinate defines distance up or down.
1129874
geometry:the pure mathematics of points and lines and curves and surfaces\n\nGeometry (from the Greek words Geo = earth and metro = measure) is the branch of mathematics first popularized in ancient Greek culture by Thales (circa 624-547 BC) dealing with spatial relationships
6157
In order to create any sort of system for describing movements around a sphere, you need to choose some fixed reference point somewhere.  In the case of the standard system for describing movements on the surface of the Earth which you're talking about, the point that's been chosen is the North Pole (& its sister the South Pole).  This creates north/south movement, which is movement towards either one of these places.  East/west movement is a different sort of movement which can be described within the same framework-- movement along imaginary parallel lines placed perpendicular to the up-down orientation you're imagining. \n \nIt's all arbitrary.  You could imagine a system where there's a direction-- let's call it Glork-- that leads directly to your house.  If you go "all the way" Glork, you get to your house.  If you go "all the way" Anti-Glork, you get to the point on th Earth which is directly opposite your house.  And there are two directions of movement, analogous to east and west, where you move on around the planet on parallels perpendicular to Glork and Anti-Glork.  Same deal. \n \nAs to the history of our particular convention on directions, it helps to understand that when it was invented most people didn't understand that the world is a sphere.  So, to them, it was just the four functionally equivalent directions that you get on a 2d surface. \n \n<3
1166451
the Cartesian coordinate system is develop used to uniquely determine each point in the plane through two numbers, usually called the x-coordinate and the y-coordinate of the point. To define the coordinates, two perpendicular directed lines (the x-axis or abscissa and the y-axis or ordinate), are specified, as well as the unit length, which is marked off on the two axes (see Figure 1). Cartesian coordinate systems are also used in space (where three coordinates are used) and in higher dimensions.\nCartesian means relating to the French mathematician and philosopher Descartes, who, among other things, worked to merge algebra and Euclidean geometry. This work was influential in the development of analytic geometry, calculus, and cartography.\n\nThe idea of this system was developed in 1637 in two writings by Descartes. In part two of his Discourse on Method he introduces the new idea of specifying the position of a point or object on a surface, using two intersecting axes as measuring guides. In La Géométrie, he further explores the above-mentioned concepts.
170823
It's any system of axes along which something can be measured and expressed.  It can be 1-, 2-, 3- or more-dimensional.  The axes are usually all perpendicular to each other (which is hard to visualize in more than 3 dimensions) but don't have to be.  A frequent use of 3-D coordinate frames is to express a location, for example: "I live at 6th Avenue and 34th St. on the 100th floor," or "Starting at the old apple tree, take 17 paces North, 25 paces East, and dig down 50 feet."  Or a size: "Packages must be no larger than 5 feet long, 3 feet wide and 2 feet deep."
886
Classical physics theories describe three physical dimensions: from a particular point in space, the basic directions in which we can move are up/down, left/right, and forward/backward. Movement in any other direction can be expressed in terms of just these three.\n\nTime is often referred to as the "fourth dimension". It is, in essence, one way to measure physical change. It is perceived differently from the three spatial dimensions in that there is only one of it, and that movement seems to occur at a fixed rate and in one direction. The equations used by physics to model reality often do not treat time in the same way that humans perceive it.\n\nTheories such as string theory predict that the space we live in has in fact many more dimensions (frequently 10, 11 or 26), but that the universe measured along these additional dimensions is subatomic in size. As a result, we perceive only the three spatial dimensions that have macroscopic size.
779754
That definition of perpendicular is what is taught at school, but there is actually a better one when you start learning about vectors.\nA vector (a,b) just means something which starts at (0,0) and points towards the point (a,b).\nThen two vectors (a,b) and (c,d) are perpendicular only if ac+bd = 0.\nSo in the case of two axes, the vectors are (1,0) and (0,1), so ac + bd = 1*0 + 0*1 = 0.\n\nThe good thing about this definition is that it even works in 3d - if you have two lines in 3d pointing in directions (a,b,c) and (d,e,f), they are perpendicular only if ad + be + cd = 0. Etc.
143210
fancy description of a rectangle.\n\nIf it had four congruent sides, it would be a square.
113851
That is a very general question. Physical geography is the study of areal distribution and the spatial aspects of nature and natural processes. It includes geomorphology, geology, oceanography, meteorology, climatoloty, ecology, pedology, etc...any science that can be described spatially can be studied in a physiographical light.\n\nNote:'Physiography' is just fancy for physical geography.\n\nIt has been said that physical geography is the study of natural processes and ecosystems; human geography is the study of how we're screwing them all up.
132369
Up-down (or down-up) direction. The perpendicular of the horizontal. :)
328495
now, if you add that it has 4 sides and all right angles, you probably can pass that off as the definition of a rectangle.\n\notherwise you just have a parallelogram.