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other, the principal difference between EISA  external cavity klystron  a klystron de-
                              and MCA is that EISA is backward compat-  vice in which the resonant cavities are located
                              ible with the ISA bus (also called the AT  outside the vacuum envelope of the tube.
                              bus), while MCA is not. Therefore, com-
                              puters with an EISA bus can use new EISA  externalevent  eventoccurringoutsidethe
                              expansion cards as well as old AT expansion  CPU and I/O modules of a computer system
                              cards, while computers with an MCA bus can  that results in a CPU interrupt. Examples in-
                              use only MCA expansion cards.          clude power fail interrupts, interval timer in-
                                                                     terrupts, and operator intervention interrupts.
                              extended Kalman filter  state estimation
                              method based on linearization (see the defi-  external fragmentation  in segmentation,
                              nition) of nonlinear system and measurement  leaving small unusable areas of main mem-
                              equations about the current state estimate.  ory that can occur after transferring segments
                              The forms of both the filter gain and esti-  into and out of the memory.
                              mation error covariance equations are similar
                              to those in the Kalman filter (see the defini-  external interrupt  a signal requesting at-
                              tion). However, duetothelinearizationabout  tention that is generated outside of the CPU.
                              the current state estimate, both equations are
                              dependent on the current state estimate and  external memory  secondary memory of
                              cannot be calculated off-line.         a computer.

                                                                     external modulation  modulation of the
                              extended memory    in PCs, the memory
                                                                     optical intensity using an optical intensity
                              located over the first megabyte of memory.
                                                                     modulator to modulate a constant power
                              This kind of memory is seen in the PC as
                                                                     laser.
                              continuous. Operating systems such as Win-
                              dows NT, LINUX, and OS/2 are capable of
                                                                     external space  the space of allowable po-
                              working in protected mode, and thus at 32
                                                                     sitions and orientations of the end-effector
                              bits. When MS-DOS is adopted to allow the
                                                                     of the manipulator.  In general the exter-
                              exploitation of this memory as EMS, special
                                                                     nal space, with the special Euclidean group
                              software drivers have to be used. This over-
                                                                                      3
                                                                          ∼
                                                                     SE(3) = SO(3) × R , consists of rotations
                              comes the limit of 640 kb imposed by the
                                                                                           3
                                                                                                3
                                                                     (SO(3)) and translations (R ) in R . The ex-
                              real-mode and adopted by MS-DOS.
                                                                     ternal space is called as Cartesian space, test-
                                                                     oriented space, or operational space by many
                              extended source  a (light) source in which
                                                                     roboticians. Some people mean by Carte-
                              rays are emitted from a large source area.
                                                                     sian space the space in which the position of
                              Compare with point source.
                                                                     a point is given with three numbers, and in
                                                                     which the orientation of a body is given by
                              extended space   for a space of func-
                                                                     three numbers. This is because in order to
                              tions X, another space of functions, denoted
                                                                     position and orient a body in Cartesian space
                              X e , defined as the space of all functions
                                                                     we need 6 coordinates. In general orienta-
                              whose truncation belongs to X. See also
                                                                     tion is specified by 3 × 3 orientation matrix
                              truncation.
                                                                     that forms orthonormal vectors. Orientation
                                                                     can be specified in terms of a minimal repre-
                              extended storage  See solid state disk.  sentation describing the rotation of the end-
                                                                     effector frame with respect to the reference
                              extension principle  a basic identity for  frame, e.g., Euler angles or rotation about
                              extending the domain of nonfuzzy or crisp  an arbitrary axis and equivalent angle. Then
                              relations to their fuzzy counterparts.  manipulator position and orientation is m×1
                              c 
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