Brooklyn Technical High School

We consider the mean field game of cross--holding introduced in \citeauthor*{DjeteTouzi} \cite{DjeteTouzi} in the context where the equity value dynamics are affected by a common noise. In contrast with \cite{DjeteTouzi}, the problem exhibits the standard paradigm of mean--variance trade off. Our crucial observation is to search for equilibrium solutions of our mean field game among those models which satisfy an appropriate notion of no--arbitrage. Under this condition, it follows that the representative agent optimization step is reduced to a standard portfolio optimization problem with random endowment.

The global demand for cybersecurity professionals continues to outpace the available workforce, creating a critical gap that must be addressed through early education. This paper presents a project-based teaching aid designed for secondary education to inspire students to learn cybersecurity in secondary school classrooms and pursue careers in cybersecurity. The teaching aid employs the Secure Software Development Life Cycle (SSDLC) as a lens to examine cyberattacks and includes three hands-on laboratory exercises that illustrate common cyberattacks and their countermeasures. While this paper focuses on three specific labs for illustration, the lab set is designed to be modular and expandable, enabling the integration of additional cybersecurity topics and attack scenarios. The project leverages free and open-source technologies, ensuring accessibility and equity by enabling web-based remote desktop connections to the lab infrastructure, making it easily implementable by secondary school educators. With most existing hands-on curricula designed for collegiate-level instruction and requiring significant technical setup, this work fills a crucial gap by providing age-appropriate and more accessible lab materials for secondary cybersecurity education.

Climate change effects on the Hudson River are becoming an ever-looming threat. There are several ways climate change is affecting the Hudson River including the inevitable rising sea levels that contribute to erosion of beaches, inundation of deltas as well as flooding of homes, schools, and stores. This research examines the following research question: how does climate change affect the Hudson River marshland? An often overlooked impact of climate change on the Hudson River is the expansion of wetlands into riverside marshes. This paper explores how the increasing amount of seawater from global climate change, can affect the Hudson River marshes. To answer this question a literature review and analysis using Google Scholar was implemented. The findings suggest that based on the increase in global temperatures, the amount of marshlands that have become wetland areas has increased in volume. Marshlands are critical to protecting cities from flooding. The implications of this research could prove valuable for other coastal cities, in the United States and globally, that seek to protect themselves from the increasingly unpredictable and catastrophic impacts of climate change.

Keratinocytes are an essential component of the epidermis that undergoes constant proliferation and differentiation. However, the dysregulation of keratinocyte differentiation has been implicated in various skin disorders such as psoriasis. Imiquimod, otherwise known as IMQ, is a topical immunomodulator often used to induce psoriasis-like lesions in murine models for research purposes. This study focuses on the efficacy of using IMQ to induce a psoriasis-like model on murine skin cells by analyzing single-cell RNA sequencing and trajectory analysis. The results indicate a few differences between IMQ-induced and control murine cells, primarily the increased keratinocyte and immune cell populations, which reflects the cell identity found on psoriatic skin. However, trajectory analysis reveals that IMQ-induced cells have quite a linear differentiation pattern compared to the branched pattern found in control cells. As a result, further research must be conducted to explore differing factors between psoriatic cells and IMQ-induced cells to determine its usefulness in mimicking psoriasis-like conditions for research.

Abstract Industrial robotic manipulators are widely used in applications such as pick & place, welding, and assembly to perform repeated tasks in replace of human labor. Such tasks typically require fully autonomous mechanical arms that are capable of identifying the parts to operate, path planning, and trajectory generation & tracking. A robotic arm consists of a sequence of rigid links connected by movable components (the joints). Proper control of the arm's motion requires the knowledge of inverse kinematics, which computes/outputs the joint variables, i.e., angles for revolute joints and displacement for prismatic joints, causing the robotic arm's end effector (e.g., gripper, hand, vacuum suction cup, and etc.) to reach some desired position and orientation in the 3D space. In this project, a 6-DOF industrial robotic arm, C12XL, is studied to achieve trajectory generation in both the 3D space and the joint space. The entire process of analysis was completed, including 1) drawing the schematic diagram and determining the frames according to the DH convention(Set of variables that shows the relationship between joint axis of a robotic arm); 2) obtaining the forward kinematics, the output of which is a homogeneous transformation matrix measuring the rotation and displacement of the end-effector frame relative to the base frame; and 3) deriving the inverse kinematics analytically, yielding a set of trigonometric equations and rotation matrices to compute the joint variables. The derived inverse kinematic equations are implemented in MATLAB in the context of trajectory generation. Several simulation examples are presented to confirm the correctness of these equations.

There is growing interest in accelerated rTMS dosing regimens, wherein multiple sessions of rTMS are applied per day. This Phase IV study evaluated the safety, efficacy, and durability of various accelerated Deep TMS protocols used in clinical practice. Data were aggregated from 111 patients with major depressive disorder (MDD) at 4 sites. Patients received one of several accelerated Deep TMS protocols (2x/day, 3x/day, 5x/day, 10x/day). Self-assessment questionnaires (PHQ-9, BDI-II) and clinician-based rating scales (HDRS-21, MADRS) were collected. On average, accelerated TMS led to an 80.2% response and 50.5% remission rate in the first month based on the most rated scale for each patient. There was no significant difference between protocols (Response: 2x/day:89.6%; 3x/day:75%; 5x/day:81%; 10x/day:67.6%). Response occurred after 10 (3x/day), 20 (5x/day), and 31 sessions (10x/day) on average– all of which occur on day 3–4 of treatment. Of patients with longer term follow up, durability was found in 86.7% (n = 30; 60 days) and 92.9% (n = 14; 180 days). The protocols were well-tolerated with no reported serious adverse events. Accelerated Deep TMS protocols are found to be safe, effective therapeutic options for MDD. They offer treatment resistant patients a treatment option with a rapid onset of action and with long durability.

In this paper, we address the problem of flood detection in urban environments from single Capella Space X-Band High-Resolution Synthetic Aperture Radar (HR SAR) images. Our approach uses a Convolutional Neural Network (CNN) architecture and proposes two innovations to deal with a limited amount of training data and the burden of manual labeling. We introduce a two-stage labeling process utilizing threshold-based predictions to reduce the amount of manual interaction in the annotation process. Moreover, we use several auxiliary inputs to give more context to the CNN. We train our model on 28 flooded and non-flooded scenes and evaluate its performance on 4 out-of-sample test images. We show that our approach outperforms threshold-based segmentation in all test scenes.

First isolated in 1947, the Zika virus was initially connected only to limited or sporadic human infections. In late 2015, the temporal clustering of a Zika outbreak and microcephaly in newborn babies from northeastern Brazil, and the identification of a causal link between the two, led to the characterization of the congenital Zika syndrome. In the wake of the epidemic, several countries from Latin America advised women to postpone pregnancies for periods ranging from six months to two years. These recommendations initiated critical conversations about the challenges of implementing them in societies with limited access to contraception, widespread socioeconomic inequalities, and high rates of unplanned and adolescent pregnancies. The messaging targeted exclusively women, despite a high prevalence of imbalances in the relationship power, and addressed all women as a group, failing to recognize that the decision to postpone pregnancies will impact different women in different ways, depending on their age at the time. Finally, in several countries affected by the Zika epidemic, due to restrictive reproductive policies, legally terminating a pregnancy is no longer an option even at the earliest time when brain malformations as part of the congenital Zika syndrome can be detected by ultrasonography. The virus continued to circulate after 2016 in several countries. Climate change models predict an expansion of the geographical area where local Zika transmission may occur, indicating that the interface between the virus, teratogenesis, and reproductive rights is a topic of considerable interest for medicine, social sciences, and public health for years to come.