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- Mark D. Roberts
- 2004

In a certain sense a perfect fluid is a generalization of a point particle. This leads to the question as to what is the corresponding generalization for extended objects. The lagrangian formulation of a perfect fluid is much generalized and this has as a particular example a fluid which is a classical generalization of a membrane, however there is as yet… (More)

- Mark D. Roberts
- ArXiv
- 1998

A common method of improving how well understood a theory is, is by comparing it to another theory which has been better developed. Radical interpretation is a theory which attempts to explain how communication has meaning. Radical interpretation is treated as another time dependent theory and compared to the time dependent theory of biological evolution.… (More)

- Mark D. Roberts
- ArXiv
- 1998

Comments: 28 pages 73262 bytes, six diagrams, 53 references, some small changes from the previous version, background to this work is de-Abstract Standard linguistic analysis of syntax uses the T-model. This model requires the ordering: D-structure > S-structure > LF, where D-structure is the sentences deep structure, S-structure is its surface structure,… (More)

- Ross A Yost, Brian E Bergeron, +4 authors Kent A Sabey
- Journal of endodontics
- 2015

INTRODUCTION
The aim of this study was to evaluate NaOCl apical extrusion by using negative apical pressure (EndoVac), sonic agitation (EndoActivator), side-vented needle (Max-i-Probe), and photon induced photoacoustic streaming (PIPS 10 mJ and PIPS 20 mJ) laser irrigation in an in vitro gel model.
METHODS
Extracted mandibular and maxillary central… (More)

- Rhett B Casper, Howard W Roberts, Mark D Roberts, Van T Himel, Brian E Bergeron
- Journal of endodontics
- 2011

INTRODUCTION
Recent innovative manufacturing techniques have produced nickel-titanium (NiTi) rotary instruments with reports of superior properties compared with standard NiTi files. These include Profile Vortex made from M-Wire (PV), Twisted Files (TF), and 10 Series files made from CM Wire (CM). Sterilization is recommended before use and is repeated if… (More)

- Mark D. Roberts
- 2008

Static spherically symmetric uncoupled scalar space-times have no event horizon and a divergent Kretschmann singularity at the origin of the coordinates. The singularity is always present so that non-static solutions have been sought to see if the singularities can develop from an initially singular free space-time. In flat space-time the Klein-Gordon… (More)

- Mark D. Roberts
- ArXiv
- 1998

Phrase structure trees have a hierarchical structure. In many subjects, most notably in tax-onomy such tree structures have been studied using ultrametrics. Here syntactical hierarchical phrase trees are subject to a similar analysis, which is much simpler as the branching structure is more readily discernible and switched. The ambiguity of which branching… (More)

- Mark D. Roberts
- 2008

A method for finding the world function of Robertson-Walker space-times is presented. It is applied to find the world function for the k = 0, γ = 2, solution. The close point approximation for the Robertson-Walker world function is calculated upto fourth order.

- Mark D. Roberts
- 1996

It is well known that the relative motion of many particles can be described by the geodesic deviation equation. Less well known is that the geodesic deviation equation can be derived from the second covari-ant variation of the point particle's action. Here it is shown that the second covariant variation of the string action leads to a string deviation… (More)

- Jeffrey R Burroughs, Brian E Bergeron, Mark D Roberts, Joseph L Hagan, Van T Himel
- Journal of endodontics
- 2012

INTRODUCTION
The purpose of this study was to determine the shaping ability of 3 nickel-titanium (NiTi) endodontic file systems by measuring canal transportation.
METHODS
Seventy-two S-shaped canals in resin blocks were randomly allocated into 3 groups (n = 24): the Self-Adjusting File (SAF; ReDent Nova, Ra'anana, Israel) group, the Typhoon group (Typhoon… (More)