Linear Translation
 |
 Newport NRC 460 X Linear Translation Stage w Actuator + VPH 1 Optic Post Holder $79.95 Time Remaining: 29d 7h 48m Buy It Now for only: $79.95 |
 Newport 450 Linear Translation Stage 025 Travel Compact Ball Bearing $55.00 Time Remaining: 11d 44m Buy It Now for only: $55.00 |
 Newport TSX 1D Dovetail Linear Translation Stage $55.00 Time Remaining: 2d 23h 33m Buy It Now for only: $55.00 |
 Newport MT X Linear Translation Stage $35.00 Time Remaining: 2d 23h 56m Buy It Now for only: $35.00 |
 Newport 461 XY M Linear Translation Stage 05 ULTRAlign Crossed Roller Bearing $309.00 Time Remaining: 29d 11h 46m Buy It Now for only: $309.00 |
 Newport Research Corp NRC TSX 1A Dovetail Linear Translation Stage $50.00 Time Remaining: 2d 23h 26m Buy It Now for only: $50.00 |
 Stepper Motor Driven Optical Linear Translation Stage 2 Axis XY Micrometer Screw $449.99 Time Remaining: 5d 4h 1m Buy It Now for only: $449.99 |
 TSX 1A Newport Linear Translation Stage $85.00 Time Remaining: 27d 15h 44m Buy It Now for only: $85.00 |
 Newport UMR516 Precision Linear Translation Stage $149.00 Time Remaining: 17d 11h 26m Buy It Now for only: $149.00 |
 Melles Griot X Y Linear Translation Stage Sub Micron $295.00 Time Remaining: 2d 11h Buy It Now for only: $295.00 |
 New Focus 9064 Optical Linear Translation Stage 2 Axis XY Micrometer Screw $249.99 Time Remaining: 27d 27m Buy It Now for only: $249.99 |
 2 Newport MT X Linear Translation Stages PAIR $70.00 Time Remaining: 2d 23h 48m Buy It Now for only: $70.00 |
 3 Linear Translation Stages Mounted On Optical MicroInterferometer Stage Mount $699.00 Time Remaining: 26d 5h 21m Buy It Now for only: $699.00 |
 Newport UTM100CC1HL Motorized Linear Translation Stage ESP Compatible $1,195.00 Time Remaining: 28d 22h 9m Buy It Now for only: $1,195.00 |
 Large Heavy Duty Linear Translation and Leveling Stage w 4 Newport Actuators $595.00 Time Remaining: 23d 21h 57m Buy It Now for only: $595.00 |
 Melles Griot X Y Linear Translation Stage Sub Micron 2 Axis Stage + 15mm Lens $250.00 Time Remaining: 4d 3h 55m Buy It Now for only: $250.00 |
 H LH Line Tool 3 Axis Linear Translation Stage $1,250.00 Time Remaining: 8d 3h 18m Buy It Now for only: $1,250.00 |
 H RHFF Line Tool XYZ Linear Translation Stage Missing 3rd Micrometers $750.00 Time Remaining: 23d 3h 17m Buy It Now for only: $750.00 |
 Oriel Newport Precision Linear Translation Stage 05 $169.00 Time Remaining: 16d 45m Buy It Now for only: $169.00 |
 2 Axis XY New Focus DS40 Linear Translation Stage $115.00 Time Remaining: 27d 6h 48m Buy It Now for only: $115.00 |
 2x Newport 423 Precision 1 Ball Bearing Linear Translation Stage w Adjustment $262.99 Time Remaining: 21d 6h 37m Buy It Now for only: $262.99 |
 Micro Controle XYZ Linear Translation Stage $499.95 Time Remaining: 21d 6h 6m Buy It Now for only: $499.95 |
 Newport DS40 Dovetail 2 Axis Linear Optical Translation Stage XY Screw Actuator $149.99 Time Remaining: 8d 15h 13m Buy It Now for only: $149.99 |
 Newport DS40 Dovetail 2 Axis Linear Optical Translation Stage XY Screw Actuator $149.99 Time Remaining: 8d 15h 48m Buy It Now for only: $149.99 |
 2 Newport MT X Linear Translation Stages PAIR $70.00 Time Remaining: 2d 23h 52m Buy It Now for only: $70.00 |
 N RH Line Tool XYZ Linear Translation Stage $595.00 Time Remaining: 20d 13h 24m Buy It Now for only: $595.00 |
 A LH Line Tool 3 Axis Linear Translation Stage $500.00 Time Remaining: 20d 13h 39m Buy It Now for only: $500.00 |
 Thorlabs 2 Axis Linear Translation Stage MT1 w Micrometers Retails 600 $365.00 Time Remaining: 18d 5h 9m Buy It Now for only: $365.00 |
 Newport DS40 Dovetail Linear Translation Stage X Axis 40mm x 40mm Travel 14mm $49.99 Time Remaining: 21d 9h 23m Buy It Now for only: $49.99 |
 Model 109 Line Tool 3 Axis Linear Translation Stage $325.00 Time Remaining: 8d 3h 21m Buy It Now for only: $325.00 |
 Klinger Motorized Linear Translation Stage MT160 250 $1,295.00 Time Remaining: 21d 4h 4m Buy It Now for only: $1,295.00 |
 NEWPORT 430 LINEAR TRANSLATION STAGE W SM 25 MICROMETER $245.00 Time Remaining: 17d 22h 57m Buy It Now for only: $245.00 |
 Oriel Newport 16201 Linear Translation Stage NEW w Aperture Micrometer $249.00 Time Remaining: 23d 2h 21m Buy It Now for only: $249.00 |
 H RH Line Tool XYZ Linear Translation Stage w Standard Starrett Micrometers $1,050.00 Time Remaining: 22d 1h 39m Buy It Now for only: $1,050.00 |
 C Line Tool X Z Linear Translation Stage $350.00 Time Remaining: 20d 13h 36m Buy It Now for only: $350.00 |
 Newport Z047A UTM50CC1HL Linear Translation Stage $995.00 Time Remaining: 14d 3h 19m Buy It Now for only: $995.00 |
 2 Axis XY New Focus 9064 Linear Translation Stage $215.00 Time Remaining: 27d 6h 42m Buy It Now for only: $215.00 |
 Newport M UTM50PP1HL Motorized Linear Translation Stage $895.00 Time Remaining: 13d 19h 35m Buy It Now for only: $895.00 |
 H RHFF Line Tool XYZ Linear Translation Stage w HR 1 Starrett Micrometers $1,750.00 Time Remaining: 22d 1h 14m Buy It Now for only: $1,750.00 |
 H RH Line Tool XYZ Linear Translation Stage w HR 1 Starrett Micrometers $1,550.00 Time Remaining: 22d 1h 17m Buy It Now for only: $1,550.00 |
 NEWPORT MVN Precision Vertical Linear Translation Stage079Travel MVN120 NIB $799.95 Time Remaining: 16d 2h 31m Buy It Now for only: $799.95 |
 Newport UTM50CC5HA Motorized Linear Translation Stage 50mm Lead Screw UE404CC $399.99 Time Remaining: 19d 14h 10m Buy It Now for only: $399.99 |
 Line Tool Co E Linear Translation Stage X Axis $145.00 Time Remaining: 17d 22h 28m Buy It Now for only: $145.00 |
 Newport Precision Linear Translation Stage M 425 $145.00 Time Remaining: 5d 2h 47m Buy It Now for only: $145.00 |
 Jodon Linear Translation Stage + Ardel Stepper Actuator $115.00 Time Remaining: 27d 6h 46m Buy It Now for only: $115.00 |
 DAEDEL NEWPORT NRC X STAGE PRECISION LINEAR MOTION TRANSLATION STAGE $110.00 Time Remaining: 7d 1h 27m Buy It Now for only: $110.00 |
 Micro Controle manual 1D linear translation stage $139.00 Time Remaining: 3d 23h 40m Buy It Now for only: $139.00 |
 Klinger Newport Motorized Linear Translation Stage $295.00 Time Remaining: 3d 20h 29m Buy It Now for only: $295.00 |
 Newport Research Corp NRC TSX 1A Dovetail Linear Translation Stage $73.00 Time Remaining: 10d 17m Buy It Now for only: $73.00 |
 Newport UTM50CC1HL and UTM100CC1HL Linear Translation Stage $800.00 Time Remaining: 20d 4h 50m Buy It Now for only: $800.00 |
 Newport Linear Translation Stage ESP UTM UTS Series $1,050.00 Time Remaining: 23d 7h 6m Buy It Now for only: $1,050.00 |
 Newport UTM100PP1HL Mid Range Travel Motorized Linear Translation Stage 106mm $1,199.99 Time Remaining: 6d 14h 1m Buy It Now for only: $1,199.99 |
 Line Tool A LH Left Handed Linear Translation XYZ Stage Newport +3 Mics A LH $455.00 Time Remaining: 5d 7h 10m Buy It Now for only: $455.00 |
 DAEDEL NEWPORT X STAGE LINEAR MOTION TRANSLATION STAGE W SM25 STYLE MICROMETER $165.00 Time Remaining: 7d 1h 27m Buy It Now for only: $165.00 |
 MICRO CONTROLE NEWPORT LINEAR TRANSLATION X STAGE $195.00 Time Remaining: 6d 23h 31m Buy It Now for only: $195.00 |
 AEROTECH ATS100 100 U LINEAR TRANSLATION STAGE NEWPORT $950.00 Time Remaining: 17d 22h 46m Buy It Now for only: $950.00 |
 Newport TCB200 600 10um 1 Axis Linear Translation Stage $3,999.99 Time Remaining: 9d 14h 1m Buy It Now for only: $3,999.99 |
 MICRO CONTROLE NEWPORT LINEAR TRANSLATION X STAGE SM25 $295.00 Time Remaining: 2d 5h 13m Buy It Now for only: $295.00 |
 NEW Newport New Focus 9061 COM Gothic Arch Linear Translation Stage 65mm Travel $169.99 Time Remaining: 9d 14h 31m Buy It Now for only: $169.99 |
 Newport UTM50PP1HL Motorized Linear Translation Stage $1,699.00 Time Remaining: 13d 21h 3m Buy It Now for only: $1,699.00 |
 Newport Z047A UE404CC Linear Actuator Translation Stage $399.99 Time Remaining: 9d 14h 40m Buy It Now for only: $399.99 |
 Newport UTM50PP1HL Motorized Linear Translation Stage $1,749.00 Time Remaining: 26d 22h 10m Buy It Now for only: $1,749.00 |
Linear Translation
How to Prevent the Myth of Linear History From Distorting Your Thinking
When Edward Gibbon set out to write "The Decline and Fall of the Roman Empire" in the year 1769, his goal was to demonstrate that, in History, civilization often moves backwards as time advances. Reading Gibbon's work is the best foundation for understanding current problems and the most effective vaccine against delusion.
"In the Dark Ages, ancient statutes were broken and melted by unfeeling avarice," noted Gibbon. "The soul of the geniuses who had shaped them evaporated in smoke. The cost and labour of centuries were consumed in a moment. Of the writings of Antiquity that still existed at that time, many were lost forever."
During hundreds of years, injustice and evil took over the world. There was little that individuals could undertake against a tidal wave of ignorance and violence. Those who tried to resist the trend were wiped out. The economies of major countries were reduced to shambles and life expectancy sharply decreased.
The good news is that, despite all difficulties, many men and women survived and thrived in the Dark Ages:
* New agricultural methods were developed and land productivity doubled.
* The idea of using cork stoppers in bottles enabled the creation of a mass-market for wine.
* In the quietness of monasteries, Greek and Latin books were translated into modern languages.
These and many other short steps turned the Dark Ages into the Renaissance, showing that each century is shaped by conflicting forces. History never follows a line of steady progress, where all things become increasingly better.
The passage of time does not guarantee that knowledge will be accumulated. Through centuries, skills and techniques have often been lost and forgotten. Mistakes of the past are likely to be repeated. Linear History is a myth, a pleasant fantasy based on deceitful patterns derived from a faulty interpretation of facts.
Believing in myths never yields good practical results because it inhibits individuals from taking rational action to improve their situation. If you reside in a country where conditions are rapidly deteriorating, you owe to yourself to make an effort to distinguish reality from wishful thinking.
When danger is lurking between sick trees, closing your eyes and hoping for the best is not going to protect your future. Ignore the myth of linear History. Instead, check facts, ask hard questions, and find out what things are really like. If prospects don't look good, then it's time for you to move.
"The restoration of the past is a most generous wish," observed Gibbon, "but the false application of maxims of Antiquity is the source of many disappointments. One should never overlook differences of time and characters."
Look ahead and decide if you like what you see. If you don't, you may want to take action to improve your personal situation. Make sound choices and play your cards wisely. There are plenty of things that you can do to make your future brighter. Unlike the Dark Ages, present times offer individuals countless opportunities. Take them.
JOHN VESPASIAN writes about rational living. He has resided in New York, Madrid, Paris, and Munich. His stories reflect the values of entrepreneurship, tolerance, and self-reliance. See John Vespasian's blog about rational living.
http://johnvespasian.blogspot.com/
About the Author
JOHN VESPASIAN writes about rational living. He has resided in New York, Madrid, Paris, and Munich. His stories reflect the values of entrepreneurship, tolerance, and self-reliance. See John Vespasian's blog about rational living at http://johnvespasian.blogspot.com/
Math help - Algebra 2 summer school?
Transforming linear equations:
Let g(x) be the indicated transformations of f(x). Write the rule for g(x).
1. f(x) = x; horizontal translation 5 units right
3. f(x) = x + 6; vertical compression by a factor of 1/3 followed by a horizontal translation left 4 units.
Can you show me how to do them? I don't understand what my math book is saying.
1) the graph of f(x) = x is a line thru the origin with slope =1
to shift it 5 units right, we want the place the line crosses the x axis (say) to shift from x=0 to x=5 (are you picturing this?)
So, f(x) = x-5 you see, because at x=5 f(x) = 0 which is what we were going for.
3) (where's 2?) f(x) = x+6
first, a vertical compression by 1/3 means f(x) gets smaller by 1/3, so it becomes f(x) = (x+6)/3 or
f(x) = x/3 + 2.
Next, the horizontal translation is as above, except left 4 units so we add 4 and get f(x) = (x+4)/3 + 2
f(x) = x/3 + 4/3 + 2
f(x) = x/3 + 10/3
basically, the stretch is done by multiplying the entire right hand side by the stretch factor. The translation is done by substituting in for x with x + translation for leftward, x - translation for rightward.
Zaber Technologies: T-NA Linear Actuator and TSB Translation Stage