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Easy to use and free online PDF editor to edit PDF files. No registration or installation needed - edit documents directly in your internet browser! For the dot product to give a result between 0.0 and 1.0, both the input vector and the weight vector need to be normalized, so they each have a length of 1. What does it mean for a vector to have a length The list of numbers in the vector represents one end of a line in an unusual multidimensional space. The other end is at the origin, where all values equal 0. The length is calculated as: q X 17-7 x i 2 L You will recognize this as a generalized version of the equation for a line s length, or a distance measurement, in three-dimensional space: q 17-8 L x2 y2 z2 To normalize the vector, divide each element of the vector by the vector s length: x i x i L 17-9 pdf editor online free fast: PDF Buddy | Online PDF Editor edit pdf metadata online 6 Best Free PDF Editors Without Watermark for All Platforms ...
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26 May 2019 ... Free online PDF editor Sedja offers an excellent range of tools, with just one caveat: if you're still working after three hours and haven't saved ... The demand for a large area, light weight, high quality, low cost condenser and field lenses for products such as the overhead projector and microfilm readers led to a series of significant improvements in the tooling and moulding processes for Fresnel lenses in the early 1960s Defense applications developed in parallel with the private sector, often overlapping in areas such as infrared imaging telescope optics, forward looking infrared (FLIR) systems, night vision equipments, heads-up displays and computer discs After the 1970s, there were many parallel efforts in the industry and in the Department of Energy weapons laboratories that were mutually influential In the 1980s and 1990s, the colour copier had become commonplace, and a product that emanated from a new technology known as Liquid crystal display (LCD) panels was causing a second explosion in the (once thought to be dying) overhead projector market The OHP was used as a light source for LCD panels At the same time, microstructured computers found new opportunities in manufacture of the larger 2D LCD arrays Illumination systems were needed for LCDs that was being used in both direct view and projection applications [51] Dramatic changes have taken place in aspheric manufacturing Diamond turning was used by the Carl Zeiss Company in Jena in 1901 and was capable of producing aspheric surfaces This method of producing non-spherical curves was suitable for binocular eyepieces, but the accuracy achieved was not good enough for use as camera lenses [50] [52] In 1929, Bausch reported an accuracy of 1/10000th of an inch (micron level) and a beautiful mirror-like finish could be obtained in the lenses that were manufactured [53] Crook and Phillips developed the methods for precision turning of Schmidt plates during World War II [52] In 1946, the Eastman Kodak Company gave birth to the modern day plastic Fresnel lenses They developed a tooling and manufacturing process for the mass production of Fresnel lenses The circular Fresnel lenses made at that time had spiral grooves The precision and the geometry of these early plastic Fresnel lenses escalated the market demand of many optical components [51] In 1950, Rank Taylor Hobson and the Bell and Howell Company developed the high quality 35 mm and 16 mm motion picture camera and television lenses A design and development programme was introduced in both the companies to manufacture high-quality aspherising machines, which would produce lens blanks that were smooth and accurate enough to proceed directly to the polishing stage [54] The Rank Taylor Hobson generating machine had spindles with an optically polished thrust and radial bearings In order to avoid all bias, the spindles were driven without any direct mechanical contact through magnetic drive units The aspheric blanks were accurately centred in the chucks and, whilst the spindle rotated, the single-point diamond tool traversed the lens surface This generator was computer controlled, and the data fed to machines were in polar coordinates As many as 400 sets of coordinates, each to five places of decimals, may be used for a lens no more than 254 mm in diameter The Bell and Howell aspheric generator comprises two carriages, namely, a work carriage and a tool carriage The work carriage carries a spindle upon which is mounted the glass to be machined The tool carriage carries a diamond burr grinder, with which the machining may be performed The movements of the carriages are affected through a precise leadscrew. tamil word file to pdf converter online: Convert documents and images to PDF - Online converter pdf editor online free mac 7 Best Free PDF Editors (Updated June 2019) - Lifewire
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