Learning vector quantization (LVQ): four-vectors assigned to two classes. In this, two reference vectors will be used. The following input vectors represent two classes, 1 and 2: VECTOR1 (1, 0, 0, 0), CLASS1, VECTOR2 (0, 1, 1, 0), CLASS2, VECTOR3 (0, 0, 1, 1), CLASS2, & VECTOR4 (1, l,0, 0), CLASS1. The first two vectors will be used to initialize the two reference vectors. Thus, the first output unit represents class1, the second class2 (symbolically, = 1 and = 2). This leaves vectors (0, 0, 1, 1) & (1, l,0, 0) as the training vectors. Initialize the learning rate: a = 0.1. Find new weights W2=?, & W1=?

Aloaded platform of total mass 500 kg is supported by a dashpot and by a set of springs of effective stiffness 72 kn/m. it is observed that when the platform is depressed through a distance x = 12.5 cm below its equilibrium position and then released without any initial velocity; it reaches its equilibrium position in the shortest possible time without overshoot. find the position and velocity of the loaded platform 0.10 sec. after its release. if a further load of 400 kg is added to the platform, find, i) the frequency of damped vibrations, and i) the amplitude of vibration after 2 complete oscillations, given that the initial amplitude is 15 cm.

Apipe with an outside diameter of 15 cm is exposed to an ambient air and surrounding temperature of -20°c. the pipe has an outer surface temperature of 65°c and an emissivity of 0.85. if the rate of heat loss from the pipe surface is 0.95 kw per meter of length, the external convective heat transfer coefficient (h) is: (a) 12.5 w/m"k (b) 18.6 w/mk (c) 23.7 w/mk (d) 27.9 w/mk (e) 33.5 w/mk

The thermal expansion or contraction of a given metal is a function of the f a)-density b)-initial temperature c)- temperature difference d)- linear coefficient of thermal expansion e)- final temperature f)- original length