2.4 Judge W. M. Dinwiddie Boone County, Missouri, 13th Circuit Court

Two weeks later, Judge Dinwiddie issued his decision in favor of Canada and the University. Houston was expecting this and appealed to the Missouri Supreme Court.

3.4 United States Supreme Court 1938

Gaines’ legal team, led by Houston, had faith in the justice system of the United States and anticipated getting a fair trial at the federal level. So far, all decisions had occurred in Missouri, a state with a segregated system.The fact that Gaines v Canada had reached the Supreme Court was promising indeed. It was rare that any case involving African-Americans would be considered by the highest court in the land. President Franklin D. Roosevelt had been appointing Justices that were more willing to consider cases concerned with civil rights. On November 9, 1938, the Supreme Court of the United States heard arguments in the Gaines v Canada case. The defense was unmoved by the rude treatment and made their presentation with professionalism and aplomb. Houston’s argument remained steadfast; not only was the state of Missouri’s statute concerning out-of-state tuition for blacks in violation of the 14th Amendment, but the very idea of segregation itself violated the Constitution. William Hogsett, the attorney for the University of Missouri, countered that the school was merely following state laws. The MU legal team was flustered as questions from the bench forced them to correct overstatements regarding Missouri’s “generosity to Negro students”. With crossed fingers and high hopes, the Gaines legal team rested their case and awaited the verdict. Meanwhile, Lloyd Gaines was still in Michigan. Lloyd held a W.P.A. job as a Civil Service Clerk and was in constant contact with his family and attorneys. His mood in his correspondence was hopeful and positive.

3.5 Supreme Court Justice James P. McReynolds

However, there was an obstacle on the court, namely James Clark McReynolds, an avowed racist. In fact, during the hearing, McReynolds turned his chair around and faced the wall when Houston presented his argument.

3.7 Chief Justice Hughes Delivered the Opinion of the Court for Gaines vs. Canada Case

Chief Justice Charles Evans Hughes announced the 6-2 decision on Gaines v Canada on December 12, 1938. Writing for the majority, Hughes held that when the state provides legal training, it must provide it to every qualified person; it cannot send them to other states. Key to the conclusion was that there was no provision for legal education of blacks in Missouri, which is where Missouri law guaranteeing equal protection applies. To the court, sending Gaines to another state would have been irrelevant.

1.2 News Article About US Supreme Court Justices Rule in Favor of Lloyd Gaines by 6 to 2 Vote in The Call Newspaper

Following the decision, northern newspapers hailed it as “the Supreme Court speaking out in defense of the quality of human rights.” The Kansas City Call, one of the leading black newspapers in Missouri, declared, “If keeping the races separate is so important to Missourians that coeducation is unthinkable then let them count the cost!” The NAACP’s long-term plan for casting financial burden upon the Jim Crow states was now a reality.

3.5 The Missouri State Supreme Court Conferred a Honorary Law License for Lloyd Gaines.

On September 28th, 2006, the Missouri State Supreme Court conferred a posthumous law license for Mr. Gaines.

Echo-delay resolution in sonar images of the big brown bat, Eptesicus fuscus

Echolocating big brown bats (Eptesicus fuscus) broadcast ultrasonic frequency-modulated (FM) biosonar sounds (20–100 kHz frequencies; 10–50 μs periods) and perceive target range from echo delay. Knowing the acuity for delay resolution is essential to understand how bats process echoes because they perceive target shape and texture from the delay separation of multiple reflections. Bats can separately perceive the delays of two concurrent electronically generated echoes arriving as little as 2 μs apart, thus resolving reflecting points as close together as 0.3 mm in range (two-point threshold). This two-point resolution is roughly five times smaller than the shortest periods in the bat’s sounds. Because the bat’s broadcasts are 2,000–4,500 μs long, the echoes themselves overlap and interfere with each other, to merge together into a single sound whose spectrum is shaped by their mutual interference depending on the size of the time separation. To separately perceive the delays of overlapping echoes, the bat has to recover information about their very small delay separation that was transferred into the spectrum when the two echoes interfered with each other, thus explicitly reconstructing the range profile of targets from the echo spectrum. However, the bat’s 2-μs resolution limit is so short that the available spectral cues are extremely limited. Resolution of delay seems overly sharp just for interception of flying insects, which suggests that the bat’s biosonar images are of higher quality to suit a wider variety of orientation tasks, and that biosonar echo processing is correspondingly more sophisticated than has been suspected.

A Modified Positive Velocity and Position Feedback scheme with delay compensation for improved nanopositioning performance

Acknowledgments This paper was sponsored by the Spanish FPU12/00984 Program (Ministerio de Educacion, Cultura y Deporte). It was also sponsored by the Spanish Government Research Program with the Project DPI2012-37062-CO2-01 (Ministerio de Economia y Competitividad) and by the European Social Fund.

Continuous and lurching traveling pulses in neuronal networks with delay and spatially decaying connectivity

Propagation of discharges in cortical and thalamic systems, which is used as a probe for examining network circuitry, is studied by constructing a one-dimensional model of integrate-and-fire neurons that are coupled by excitatory synapses with delay. Each neuron fires only one spike. The velocity and stability of propagating continuous pulses are calculated analytically. Above a certain critical value of the constant delay, these pulses lose stability. Instead, lurching pulses propagate with discontinuous and periodic spatio-temporal characteristics. The parameter regime for which lurching occurs is strongly affected by the footprint (connectivity) shape; bistability may occur with a square footprint shape but not with an exponential footprint shape. For strong synaptic coupling, the velocity of both continuous and lurching pulses increases logarithmically with the synaptic coupling strength gsyn for an exponential footprint shape, and it is bounded for a step footprint shape. We conclude that the differences in velocity and shape between the front of thalamic spindle waves in vitro and cortical paroxysmal discharges stem from their different effective delay; in thalamic networks, large effective delay between inhibitory neurons arises from their effective interaction via the excitatory cells which display postinhibitory rebound.

Residual delay maps unveil global patterns of atmospheric nonlinearity and produce improved local forecasts

We use residual-delay maps of observational field data for barometric pressure to demonstrate the structure of latitudinal gradients in nonlinearity in the atmosphere. Nonlinearity is weak and largely lacking in tropical and subtropical sites and increases rapidly into the temperate regions where the time series also appear to be much noisier. The degree of nonlinearity closely follows the meridional variation of midlatitude storm track frequency. We extract the specific functional form of this nonlinearity, a V shape in the lagged residuals that appears to be a basic feature of midlatitude synoptic weather systems associated with frontal passages. We present evidence that this form arises from the relative time scales of high-pressure versus low-pressure events. Finally, we show that this nonlinear feature is weaker in a well regarded numerical forecast model (European Centre for Medium-Range Forecasts) because small-scale temporal and spatial variation is smoothed out in the grided inputs. This is significant, in that it allows us to demonstrate how application of statistical corrections based on the residual-delay map may provide marked increases in local forecast accuracy, especially for severe weather systems.

Light-induced phase-delay of the chicken pineal circadian clock is associated with the induction of cE4bp4, a potential transcriptional repressor of cPer2 gene

The chicken pineal gland contains the autonomous circadian oscillator together with the photic-input pathway. We searched for chicken pineal genes that are induced by light in a time-of-day-dependent manner, and isolated chicken homolog of bZIP transcription factor E4bp4 (cE4bp4) showing high similarity to vrille, one of the Drosophila clock genes. cE4bp4 was expressed rhythmically in the pineal gland with a peak at very early (subjective) night under both 12-h light/12-h dark cycle and constant dark conditions, and the phase was nearly opposite to the expression rhythm of cPer2, a chicken pineal clock gene. Luciferase reporter gene assays showed that cE4BP4 represses cPer2 promoter through a E4BP4-recognition sequence present in the 5′-flanking region, indicating that cE4BP4 can down-regulate the chick pineal cPer2 expression. In vivo light-perturbation studies showed that the prolongation of the light period to early subjective night maintained the high level expression of the pineal cE4bp4, and presumably as a consequence delayed the onset of the induction of the pineal cPer2 expression in the next morning. These light-dependent changes in the mRNA levels of the pineal cE4bp4 and cPer2 were followed by a phase-delay of the subsequent cycles of cE4bp4/cPer2 expression, suggesting that cE4BP4 plays an important role in the phase-delaying process as a light-dependent suppressor of cPer2 gene.

Viral dynamics in vivo: limitations on estimates of intracellular delay and virus decay.

Anti-viral drug treatment of human immunodeficiency virus type I (HIV-1) and hepatitis B virus (HBV) infections causes rapid reduction in plasma virus load. Viral decline occurs in several phases and provides information on important kinetic constants of virus replication in vivo and pharmacodynamical properties. We develop a mathematical model that takes into account the intracellular phase of the viral life-cycle, defined as the time between infection of a cell and production of new virus particles. We derive analytic solutions for the dynamics following treatment with reverse transcriptase inhibitors, protease inhibitors, or a combination of both. For HIV-1, our results show that the phase of rapid decay in plasma virus (days 2-7) allows precise estimates for the turnover rate of productively infected cells. The initial quasi-stationary phase (days 0-1) and the transition phase (days 1-2) are explained by the combined effects of pharmacological and intracellular delays, the clearance of free virus particles, and the decay of infected cells. Reliable estimates of the first three quantities are not possible from data on virus load only; such estimates require additional measurements. In contrast with HIV-1, for HBV our model predicts that frequent early sampling of plasma virus will lead to reliable estimates of the free virus half-life and the pharmacological properties of the administered drug. On the other hand, for HBV the half-life of infected cells cannot be estimated from plasma virus decay.

The Keyes to Reclaiming the Racial History Of the Roberts Court

This article advocates for a fundamental re-understanding about the way that the history of race is understood by the current Supreme Court. Represented by the racial rights opinions of Justice John Roberts that celebrate racial progress, the Supreme Court has equivocated and rendered obsolete the historical experiences of people of color in the United States. This jurisprudence has in turn reified the notion of color-blindness, consigning racial discrimination to a distant and discredited past that has little bearing to how race and inequality is experienced today. The racial history of the Roberts Court is centrally informed by the context and circumstances surrounding Brown v. Board of Education. For the Court, Brown symbolizes all that is wrong with the history of race in the United States - legal segregation, explicit racial discord, and vicious and random acts of violence. Though Roberts Court opinions suggest that some of those vestiges still exits, the bulk of its jurisprudence indicate the opposite. With Brown’s basic factual premises as its point of reference, the Court has consistently argued that the nation has made tremendous strides away from the condition of racial bigotry, intolerance, and inequity. The article accordingly argues that the Roberts Court reliance on Brown to understand racial progress is anachronistic. Especially as the nation’s focus for racial inequality turned national in scope, the same binaries in Brown that had long served to explain the history of race relations in the United States (such as Black-White, North-South, and Urban-Rural) were giving way to massive multicultural demographic and geographic transformations in the United States in the years and decades after World War II. All of the familiar tropes so clear in Brown and its progeny could no longer fully describe the current reality of shifting and transforming patterns of race relations in the United States. In order to reclaim the history of race from the Roberts Court, the article assesses a case that more accurately symbolizes the recent history and current status of race relations today: Keyes v. School District No. 1. This was the first Supreme Court case to confront how the binaries of cases like Brown proved of little probative value in addressing how and in what ways race and racial discrimination was changing in the United States. Thus, understanding Keyesand the history it reflects reveals much about how and in what ways the Roberts Court should rethink its conclusions regarding the history of race relations in the United States for the last 60 years.

Stability switches in a first-order complex neutral delay equation

Stability of the first-order neutral delay equation x’ (t) + ax’ (t – τ) = bx(t) + cx(t – τ) with complex coefficients is studied, by analyzing the existence of stability switches.