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heavy water  water in which a heavy iso-  heirarchical coding  coding where im-
                              tope of hydrogen substitutes for the hydrogen  age data are encoded to take care of different
                              atoms.                                 resolutions and scales of the image. Addi-
                                                                     tional data is transmitted from the coder to
                              Hebb’s principle  to update the weights of  refine the image search. See also progressive
                              the simple feedforward neural network (e.g.,  transmission.
                              perceptron) a very simple idea, called Hebb’s
                              principle, can be used. The principle states  heirarchical interpolation  a technique
                              the following: Apply a given pattern to the  of forming image pyramids. In this method,
                              inputs and clamp the outputs to the desired  pixels are interpolated to higher levels in the
                              response, then increase the weights between  hierarchy. Thus, only the interpolated pixels
                              nodes that are simultaneously excited. This  need a residual in order to be reconstructed
                              principle was formulated by Hebb in 1949, in  exactly, since the subsampled pixels are al-
                              an attempt to model neural networks. Math-  ready correct.
                              ematically it can be expressed as follows:
                                                                     helical antenna  a wire antenna that is he-
                                                      0
                              w ij (t + 1) = w ij + γu i (t) y (t) − y j (t)
                                                      j              lical in shape. Typically, the helical antenna
                                    0
                              where y is the desired response and y j is  is fed by a coaxial cable, the outer conduc-
                                    j                                tor of which is connected to a ground plane
                              the response of the network. By regarding
                                                                     and the inner conductor of which protrudes
                              the weights as parameters, one may treat the
                                                                     through the ground plane and is shaped in the
                              above formula as a gradient method for pa-
                                                                     form of a helix. Since a helical antenna emits
                              rameters estimation.
                                                                     an elliptically polarized wave when operat-
                                                                     ing in axial mode, it is often used in satellite
                              Hebbian algorithm  in general, a method
                                                                     communication applications.
                              of updating the synaptic weight of a neuron
                              w i using the product of the value of the ith
                                                                     helical beam tube  a backward wave am-
                              input neuron, x i , with the output value of the
                                                                     plifier based on interaction between a for-
                              neuron y. A simple example is:
                                                                     ward helical electron beam launched into
                                  w i (n + 1) = w i (n) + αy(n)x i (n)  a waveguide and backward traveling mi-
                              where n represents the nth iteration and α is  crowave in the waveguide.
                              a learning-rate parameter.
                                                                     helical scan tape  a magnetictapein which
                              Hebbian learning  a method of modifying  recording is carried out on a diagonal to the
                              synaptic weights such that the strength of a  tape, by a head that spins faster than the tape
                              synapic weight is increased if both the presy-  movement. Popular for VCRs, camcorders,
                              naptic neuron and postsynapic neuron are ac-  etc., as it improves recording density and tape
                              tive simultaneously (synchronously) and de-  speed.
                              creased if the activity is asynchronous. In ar-
                              tificial neural networks, the synaptic weight  helium neon laser  neon laser in which ex-
                              is modified by a function of the correlation  citation of the neon atoms occurs primarily
                              between the two activities.            by collisions with electron-impact-excited
                                                                     helium atoms; the first gas laser, and espe-
                              hedge   a special linguistic term by which  cially important for its CW visible oscillation
                              other linguistic terms are modified. Exam-  lines.
                              ples are very, fairly, more or less, and quite.
                                                                     Helmholtz coils  a pair of coaxial coils of
                              height defuzzification   See centroid   the same diameter that are spaced one radius
                              defuzzification.                        apart. They are used to generate a field of



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