Ronald Roth

Ronald H. Roth (1933 – January 24, 2005) was an American orthodontist who known for his contributions to orthodontic field. Roth introduced his "Roth Prescription" in 1975 for straight-wire brackets and is also known for his philosophy, which includes the correction of malocclusion in harmony with the functional occlusion.[1]

Career

Roth received his orthodontic degree from Loyola University Chicago School of Dentistry. Roth was known to work well with Dr. Lawrence Andrews. He initially met Dr. Andrews in 1968. During his work, Dr. Andrews gave Roth two sets of his Andrews Straight Wire Brackets for evaluation. Roth believed that as long as the condyles and mandible were positioned correctly in centric relation, Andrew's six keys to occlusion was compatible for orthodontic treatment. Dr. Andrews had come up with "Andrews Prescription" for the straight-wire brackets he developed. This meant that the orthodontic brackets had pre-adjusted tip and torque built into the brackets.

Roth Prescription

Roth believed that some degree of over-correction must be introduced into the brackets. Therefore, Roth introduced "Roth Prescription" to the field of orthodontics in 1975.[2][3]

Roth's treatment philosophy involved a clinician to make diagnosis through these 5 areas of concern: facial esthetics, dental esthetics, functional occlusion and condylar position, elements needed for stability and periodontal health. With this treatment approach, Roth along with Dr. Williams started the Roth Williams International Society of Orthodontists.[4]

He died due to cancer in 2005.

gollark: So this is a mess. PotatOS is actually shipping a mildly different ECC library with a different curve because steamport provided the ECC code ages ago.
gollark: I mean, what do you expect to happen if you do something unsupported and which creates increasingly large problems each time you do it?
gollark: <@151391317740486657> Do you know what "unsupported" means? PotatOS is not designed to be used this way.
gollark: Specifically, 22 bytes for the private key and 21 for the public key on ccecc.py and 25 and 32 on the actual ingame one.
gollark: <@!206233133228490752> Sorry to bother you, but keypairs generated by `ccecc.py` and the ECC library in use in potatOS appear to have different-length private and public keys, which is a problem.EDIT: okay, apparently it's because I've been accidentally using a *different* ECC thing from SMT or something, and it has these parameters instead:```---- Elliptic Curve Arithmetic---- About the Curve Itself-- Field Size: 192 bits-- Field Modulus (p): 65533 * 2^176 + 3-- Equation: x^2 + y^2 = 1 + 108 * x^2 * y^2-- Parameters: Edwards Curve with c = 1, and d = 108-- Curve Order (n): 4 * 1569203598118192102418711808268118358122924911136798015831-- Cofactor (h): 4-- Generator Order (q): 1569203598118192102418711808268118358122924911136798015831---- About the Curve's Security-- Current best attack security: 94.822 bits (Pollard's Rho)-- Rho Security: log2(0.884 * sqrt(q)) = 94.822-- Transfer Security? Yes: p ~= q; k > 20-- Field Discriminant Security? Yes: t = 67602300638727286331433024168; s = 2^2; |D| = 5134296629560551493299993292204775496868940529592107064435 > 2^100-- Rigidity? A little, the parameters are somewhat small.-- XZ/YZ Ladder Security? No: Single coordinate ladders are insecure, so they can't be used.-- Small Subgroup Security? Yes: Secret keys are calculated modulo 4q.-- Invalid Curve Security? Yes: Any point to be multiplied is checked beforehand.-- Invalid Curve Twist Security? No: The curve is not protected against single coordinate ladder attacks, so don't use them.-- Completeness? Yes: The curve is an Edwards Curve with non-square d and square a, so the curve is complete.-- Indistinguishability? No: The curve does not support indistinguishability maps.```so I might just have to ship *two* versions to keep compatibility with old signatures.

References
  1. Kuftinec, Mladen M.; Eltz, Maija (2005). "Ronald H. Roth, 1933–2005". American Journal of Orthodontics and Dentofacial Orthopedics. 128: 136. doi:10.1016/j.ajodo.2005.05.042.
  2. Gottlieb, Eugene (2005). "THE EDITOR'S CORNER A Farewell to Two Orthodontic Giants". JCO. Retrieved 21 December 2015.
  3. "About Dr. Roth". http://eng.rwjso.com/. Retrieved 21 December 2015. External link in |website= (help)
  4. "The History of RWISO". www.rwiso.org. RWISO. Retrieved 21 December 2015.


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