Technics Linear
March 5th, 2009
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Technics Linear
a very technical question about solving linear system by row reduction?
what relationship must exist b/n a and b for the linear system.
x + y +2z=a
x+z=b
2x+y+3z=6
what relationship must exist b/n a and b for the linear system to be consistent.
x + y +2z=a
x+z=b
2x+y+3z=6
what relationship must exist b/n a and b for the linear system to be consistent.
x + y +2z=a
x+z=b
2x+y+3z=6
what would be the answer if the question is:what relationship must exist b/n a and b for the linear system to be consistent.
x + y +2z=a
x+z=b
2x+y+3z=6
Represent system as matrix:
[1 1 2] [x] . .[a]
[1 0 1]*[y] = [b]
[2 1 3] [z] . .[6]
First, find determinant of square matrix to see if we can have a solution:
|1 1 2|
|1 0 1| = -1 + 2-3 + 2 = 0
|2 1 3|
Because the determinant is zero, there is either no solution to the system or infinitely many solutions to the system. We'd like to find a and b such that there are infinitely many solutions.
Produce Augmented matrix:
[1 1 2 || a]
[1 0 1 || b]
[2 1 3 || 6]
Row - reduce until we see row-echelon form:
R2 = R2 - R1:
[1 1 2 . || a]
[0 -1 -1 || b - a]
[2 1 3 . || 6]
R3 = R3 -2*R1:
[1 1 2 . || a]
[0 -1 -1 || b - a]
[0 -1 -1 . || 6 - 2*a]
R3 = R3 - R2:
[1 1 2 . || a]
[0 -1 -1 || b - a]
[0 0 0 . || 6 -2*a - b + a]
Because we have zeros in row 3, 6 -2*a - b + a must equal zero as well
6 -2*a - b + a = 0
6 -a - b = 0
Solve for a:
a = 6 - b
Therefore:
a = 6 - b if there is to be infinitely many solutions, instead of no solutions.
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Technics SL-L20 Linear Tracking Turntable - Record Player 33/45 RPM - DERBY DE24 | |
|
US $140.70 | 21d 7h 25m |
|
Technics Turntable SL-D4. SLD4 Linear Automatic Direct Drive | |
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US $149.00 | 16d 8h 41m |
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TECHNICS SL-P100 CD PLAYER HIGH RES DIGITAL FILTER HIGH SPEED LINEAR ACCESS!!!** | |
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US $67.48 | 28d 3h 33m |
|
Technics SL-QL5 linear tracking direct drive turntable | |
0 Bid | US $69.99 | 9h 9m |
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Technics SL5 direct drive, linear tracking turntable. | |
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US $40.00 | 1d 12h 35m |
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TECHNICS RS-BX701 LINEAR MAGNE-FIELD CLASS AA 3 HEAD BIAS ADJ CASSETTE DECK VG | |
1 Bid | US $.02 | 3d 11h 31m |
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Technics SL-7 Quartz LINEAR Direct Drive Automatic Turntable in Mint condition | |
0 Bid | US $1.99 | 4d 18h 53m |
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Technics SL-QL5 Direct Drive Turntable Linear Tracking DJ Table | |
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US $69.99 | 28d 8h 34m |
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Technics Linear Tracking Turntable SL-12
Breguet watches Linear Calendar
Swiss all-powerful. Contrary to everyone's expectations, Breguet Watch Company introduced a show with a real-time jump straight years, calendar years. This is a real technological innovation, has been May 15, 1997 filed a patent application.
For more than two centuries, the complex movement of continuous improvement is always Breguet's constant rhythm watches. One of the most representative masterpieces, is playing the spring 3894 series of timekeeping tables, manual-winding movement, minutes played spring, with calendar years, with a moon phase and month-old display, advanced craft production.
From a historical record, Breguet table in which the patent registration is not occasional, but rather a long time, such as: 1798 Tsuneyoshi escapement, 1801 the tourbillon regulator, 1833 balance of the pendulum of sympathetic. And later patented inventions, such as: stars timer (1939), perpetual calendar watches, jet lag (1991) ... ... Do not forget, Abraham Louis Breguet invented at that time often were not statistics, and no registration, which brought him to a great deal of regret. But since then, times have changed. Adoption of a new patented invention, Breguet Watch Company has given us an excellent style. Could be described as an unprecedented style: with an immediate jump straight years are shown for the calendar men's watches. To really understand the significance of this invention, we must understand the fact, namely: to date, not by the mechanical structure of the functional shift, it is not possible with a dial on the vertical assembly of the calendar years immediately jump-year show. People try, at best, it is only to make the structure become more large and complex, resulting in a more complicated manufacturing process ... Breguet watches introduced the table movement, you can dial on a straight line to install, direct display calendar machine Core functions of the corresponding position, and the volume has reached the minimum limit. In the capacity of all the parts under the premise of this movement structure also shows an immediate jump-year, thus avoiding the continuous transfer through the four-pin power generated by the display problems. This design, which can also make even a smaller and smaller critical demands? Even so, Breguet Watch Company also lives up to its reputation in the field of aesthetic and practical efforts through technical means to represent beauty. Breguet table's calendar linear arrangement of the movement extremely natural neat and smooth, fully embodies the deliberate pursuit of precise and appropriate tab famous and simple. Of course, we can see the essential eccentric spherical steel blue handle indicators, Juan striped circular outer case (18K gold), with a fixed strap bolt struts and lattice-like ornamentation of the dial ... dial is dark golden texture, incredibly simple in its face, and all the superb artistry seems to have become downright trick, but the transparent bottom of the table was inadvertently leaked out of nature's intricate watchmaking masters in their craft. Perfect harmony......
Let us return to the dial and the "linear" explicit. At a glance, clear and pleasing to the eye. Roman numerals show hours and minutes digits display, as well as show week, month and year of the vertical body of the word ... we are attracted: the end of December and February 29 of the display of surprise so at ease. Really great! This is all thanks to all the law points a diameter of 12 self-winding movement, a movement above engrave the table number and the Breguet brand. This is the 5O2QPL series of movements. To have this unprecedented to the list, the cost is 42,000 U.S. dollars. However, when people are something special liking for, the price has also led to.
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