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High quality f-theta lens/scan lens for 1064nm YAG Diode Fiber laser F=254mm | ![]() |
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High quality f-theta lens/scan lens for 1064nm YAG Diode Fiber laser F=330mm | ![]() |
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High quality f-theta lens/scan lens for 1064nm YAG Diode Fiber laser F=430mm | ![]() |
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Theta Scan

Help with an inverse integral question?
Hi everyone,
I need a little help with this integral question...
I've actually figured majority of it out, but there's one part I can't quite get.
I actually have it scanned as a document just so it's easier to read...the bits in the pencil are the parts I'm unsure about.
http://farm4.static.flickr.com/3402/4551849450_f436870b5e_o.jpg
I've boxed the question in the beginning. Also, in the scan, I'm using theta, but I'll just type it in as x here...
I have cot(x) which is equal to cos(x)/sin(x)...but...I'm not really sure what I'm supposed to do afterwards. If indeed I do substitute the cos(x) with the sqrt(9-x^2), and then the sin(x) with x/3, shouldn't I have two 3's in the numerator technically? As I wrote it in? But if you look in the final answer my book has given, there is only one 3 in the numerator.
I don't know...if anyone could explain/clarify how I'd do this part, I would greatly appreciate it.
Thank you very much!
Interesting. You got it right until Integral = (1/3)ln|cscθ - cotθ| = (1/3)ln|1/sinθ - cosθ/sinθ|
Since x = 3 sinθ, so sinθ = x/3. cosθ = √[1 - sin²θ] = √[1 - (x/3)²] = √[1 - (x²/9)] = √[(1/9)(9 - x²)] = (1/3)√(9 - x²)
cosθ/sinθ = cosθ * 1/sinθ = (1/3)√(9 - x²) * (3/x) = [√(9 - x²)]/x
Answer is (1/3)ln|(3/x) - [√(9 - x²)]/x] = (1/3)ln|{3 - √(9 - x²)}/x| + C
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High quality f-theta lens/scan lens for 1064nm YAG Diode Fiber laser F=254mm | ![]() |
![]() |
US $399.00 | 25d 17h 56m |
![]() |
High quality f-theta lens/scan lens for 1064nm YAG Diode Fiber laser F=330mm | ![]() |
![]() |
US $399.00 | 4d 1h 33m |
![]() |
High quality f-theta lens/scan lens for 1064nm YAG Diode Fiber laser F=430mm | ![]() |
![]() |
US $589.00 | 4d 1h 30m |
| Powered by phpBay Pro |
![]() |
No items matching your keywords were found.
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No items matching your keywords were found.
![]() |
![]() |
High quality f-theta lens/scan lens for 1064nm YAG Diode Fiber laser F=254mm | ![]() |
![]() |
US $399.00 | 25d 17h 56m |
![]() |
High quality f-theta lens/scan lens for 1064nm YAG Diode Fiber laser F=330mm | ![]() |
![]() |
US $399.00 | 4d 1h 33m |
![]() |
High quality f-theta lens/scan lens for 1064nm YAG Diode Fiber laser F=430mm | ![]() |
![]() |
US $589.00 | 4d 1h 30m |
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Theta Characteristic $71.7 High Quality Content by WIKIPEDIA articles In mathematics, a theta characteristic of a nonsingular algebraic curve C is a divisor class such that 2 is the canonical class, In terms of holomorphic line bundles L on a connected compact Riemann surface, it is therefore L such that L2 is the canonical bundle, here also equivalently the holomorphic cotangent bundle. In terms of algebraic geometry, the equivalent definition is as an invertible sheaf, which squares to the sheaf of differentials of the first kind. The importance of this concept was realised first in the analytic theory of theta functions, and geometrically in the theory of bitangents. In the analytic theory, there are four fundamental theta functions in the theory of Jacobian elliptic functions. Author: Surhone, Lambert M./ Timpledon, Miriam T./ Marseken, Susan F. Binding Type: Paperback Number of Pages: 94 Publication Date: 2010/08/09 Language: English Dimensions: 6.00 x 9.02 x 0.23 inches |
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Theta Solvent $70.1 High Quality Content by WIKIPEDIA articles In a polymer solution, a theta solvent (or solvent) is a solvent in which polymer coils act like ideal chains, assuming exactly their random walk coil dimensions. Thermodynamically, the excess chemical potential of mixing between a polymer and a theta solvent is zero.The conformation assumed by a polymer chain in dilute solution can be modeled as a random walk of monomer subunits using a freely jointed chain model. However, this model does not account for steric effects. Real polymer coils are more closely represented by a selfavoiding walk because conformations in which different chain segments occupy the same space are not physically possible. This excluded volume effect causes the polymer to expand. Author: Surhone, Lambert M./ Timpledon, Miriam T./ Marseken, Susan F. Binding Type: Paperback Number of Pages: 86 Publication Date: 2010/07/30 Language: English Dimensions: 6.00 x 9.02 x 0.21 inches |
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SPECT scan pre post Neurofeedback on PTSD
Results from my QEEG scan, would neurofeedback help?
Hello,
Last month I had a Qeeg scan where I started at a picture and then with my eyes closed.
A neurologist and phyciatrist both reviewed the scan results:
Neurologist: I have mildly abnormal eeg due to the intermittent left temporal theta activity which is a non specific pattern indicating impairment of left temporal cortical function.
PHD: Elevated alpha activity anteriorly. Right greater than left theta and alpha asymmetries are apparent in medial frontal regions, decreased interhemispheric coherence in medial frontl regions and mean beta grequency is low in the same regons.
My theta/beat was 1.43 which is bleow the criteria of 2.36 for my age.
Any information would appreciated!
Thanks
I would ask both which specific cognitive and/or behavioral functions, if any, may be affected, and what specific actions can I take to ameliorate these abnormalities.
And, also ask if the dysfunction that was discovered is still within normal functional boundaries, rather than skewed somewhat from the mean.









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