What’s Shakin’? Ladra v. New Dominion, LLC: A Case of Consequence for the Hydraulic Fracturing Industry and Those Affected by Induced Seismicity

This analysis is accompanied by a study of a 2015 ruling of the Supreme Court of Oklahoma, Ladra v. New Dominion, LLC. The case considered the possibility of a private tort action by homeowners against the operators of injection wells proceeding within the state’s judicial system, rather than simply being subject to review by a state regulatory agency. The court ultimately decided that the case would be allowed to continue within the judicial system instead of in front of a regulatory agency. This case, while not providing a “silver bullet” precedent with which future claimants can automatically win their cases against parties involved in fracking and waste disposal, does demonstrate that these claims are viable and ought to be dealt with in proper courts of law, rather than through administrative agencies. Section II of this case note contains a brief overview of the hydraulic fracturing process and the state of fracking in Oklahoma, the site of this note’s principal case (Ladra v. New Dominion). Section III provides a history of the case and its central issues. Section IV discusses the ruling given, as well as the validity of the arguments made before the court. Section V examines the likelihood of success for the plaintiff Ladra and other homeowners seeking damages from the operators of injection wells due to earthquake-related harm done to their property or person. This section primarily assesses whether a preponderance of the evidence standard can be achieved when alleging that fracking activities caused earthquakes that resulted in property damage, and uses the arguments presented in the lower court during Ladra v. New Dominion as an example. Section VI considers the significance of the decision and what effect it may have on the hydraulic fracturing industry

The Collision of tao, rhetorike, & Orientalism

This essay will not focus on my analyses of the poems that were the original impetus of my study, but instead on what I discovered when researching the rhetorical traditions within which the poems are situated. My argument hinges on this question: Why did no gross disparities between rhetorical traditions emerge in my initial research, and why is this absence significant? My analysis draws on the works of George A. Kennedy, Robert Oliver, and Edward Said, in addition to the post-colonial studies of Bill Ashcroft, Gareth Griffiths, and Helen Tiffin

Incompleteness and jump hierarchies

This paper is an investigation of the relationship between G\"odel's second incompleteness theorem and the well-foundedness of jump hierarchies. It follows from a classic theorem of Spector's that the relation $\{(A,B) \in \mathbb{R}^2 : \mathcal{O}^A \leq_H B\}$ is well-founded. We provide an alternative proof of this fact that uses G\"odel's second incompleteness theorem instead of the theory of admissible ordinals. We then derive a semantic version of the second incompleteness theorem, originally due to Mummert and Simpson, from this result. Finally, we turn to the calculation of the ranks of reals in this well-founded relation. We prove that, for any $A\in\mathbb{R}$, if the rank of $A$ is $\alpha$, then $\omega_1^A$ is the $(1 + \alpha)^{\text{th}}$ admissible ordinal. It follows, assuming suitable large cardinal hypotheses, that, on a cone, the rank of $X$ is $\omega_1^X$.Comment: 11 pages. Corrects a mistake in the statements of two result

The limiting distribution for the number of symbol comparisons used by QuickSort is nondegenerate (extended abstract)

In a continuous-time setting, Fill (2010) proved, for a large class of probabilistic sources, that the number of symbol comparisons used by QuickSort, when centered by subtracting the mean and scaled by dividing by time, has a limiting distribution, but proved little about that limiting random variable Y -- not even that it is nondegenerate. We establish the nondegeneracy of Y. The proof is perhaps surprisingly difficult

Electrolyte Abnormalities on ECG

The authors review the characteristic changes that hypercalcemia, hyperkalemia, hypokalemia, and other serum electrolyte abnormalities can cause on an ECG

Ventricular Fibrillation

An unsteady baseline and a very irregular QRS segment are highly indicative of ventricular fibrillation

Exact L^2-distance from the limit for QuickSort key comparisons (extended abstract)

Using a recursive approach, we obtain a simple exact expression for the L^2-distance from the limit in R\'egnier's (1989) classical limit theorem for the number of key comparisons required by QuickSort. A previous study by Fill and Janson (2002) using a similar approach found that the d_2-distance is of order between n^{-1} log n and n^{-1/2}, and another by Neininger and Ruschendorf (2002) found that the Zolotarev zeta_3-distance is of exact order n^{-1} log n. Our expression reveals that the L^2-distance is asymptotically equivalent to (2 n^{-1} ln n)^{1/2}