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The June Offensive: The Impact of the June Offensive on the Russian Revolution
Get PDFThis essay explores the relations between soldiers, officers, command staff, and the Provisional Government, to explain why and how the June Offensive of 1917 failed, and to investigate its effects on the Russian Revolution. The liberals and moderate socialists of the Provisional Government failed to compose a coherent policy on the war and on soldiers\u27 rights, resulting in extreme social and political polarization. Proclaiming the policy of revolutionary defensism, prosecuting a strictly defensive war, and seeking peace without annexations or indemnities, the Provisional Government contradictorily launched the June Offensive. The June Offensive was a central point in the Russian Revolution, marking the breakdown of democratic consensus and contributing to the disintegration of the armed forces, the collapse of social order, and the rise of the Bolsheviks. 
The Contemporary Tragedy of the Modern Icarus
Get PDFIn this poem, author Alyssa Fraser discusses her experiences growing up in an abusive household. Fraser challenges the ideal of perfection and uses imagery and mythology to demonstrate the harmful impacts that occur when expectations of perfection are forced on people. Specifically, Fraser focuses on how perfection intersects with issues of race to impact and change the experiences of multi-ethnic individuals
Great Expectations
Get PDFKatherine Lara is an undergraduate student at Cal State LA majoring in English. In her narrative, “Great Expectations,” Katherine recounts the internal struggles she faced while trying to find her passion in life, all while dealing with the great expectations that come with being a first-generation student
Sand and Water
Get PDFMuna Mohamed is an undergraduate student from Edmonton at the University of Alberta. Being a first-generation immigrant and college student has greatly influenced her identity. In this narrative, Mohamed reflects on how her immigrant identity has also impacted her college experience in addition to considering the challenges she’s faced as a minority. After all, diversity’s refreshing. Right
Biases in Moments of the Dirichlet Coefficients in One-Parameter Families of Elliptic Curves
Get PDFElliptic curves arise in many important areas of modern number theory. One way to study them is to take local data, the number of solutions modulo a prime p, and create an L-function. The behavior of this global object is related to two of the seven Clay Millenial Problems: the Birch and Swinnerton-Dyer Conjecture and the Generalized Riemann Hypothesis. We study one-parameter families over Q(T). We look at the r-th moment of the series expansion of the L-function (the p-th coefficient is related to the number of solutions to the elliptic curve modulo p). Rosen and Silverman showed biases in the first moment equal the rank of the Mordell-Weil group of rational solutions.
Michel proved the main term of the second moment is universal, with the lower order terms smaller by at least a factor of the square-root of the prime. Based on several special families where computations can be done in closed form, Miller in his thesis conjectured that the largest lower-order term in the second moment that does not average to 0 is on average negative. He further showed that such a negative bias has implications in the distribution of zeros of the elliptic curve L-function near the central point. To date, evidence for this conjecture is limited to special families. In this paper, we explore the first and second moments of some one-parameter families of elliptic curves, looking to see if the biases persist and exploring the consequence these have on fundamental properties of elliptic curves. We observe that in all of the one-parameter families where we can compute in closed form that the first term that does not average to zero in the second-moment expansion of the Dirichlet coefficients has a negative average. In addition to studying some additional families where the calculations can be done in closed form, we also systematically investigate families of various ranks. These are the first general tests of the conjecture; while we cannot in general obtain closed form solutions, we discuss computations which support or contradict the conjecture. We then generalize to higher moments, and see evidence that the bias continues in the even moments.
 
Foreign Yet at Home
Get PDFAesha Fazli, an undergraduate student at the University of Alberta, shares her generational story as a first-generation Afghan-Canadian immigrant. Her story unfolds through her mother’s eyes and depicts the hardships and triumphs she endures in becoming the person she is today. She showcases the importance of having a voice as a first-generation student who aspires to inspire future generations
Watts Spaces and Smooth Maps
Get PDFA new category is described, which generalizes a select variety of categories having smooth mappings as their class of morphisms, those like the C∞ manifolds and C∞ mappings between them. Categorical embeddings are produced to justify this claim of generalization. Theorems concerning the equivalence of smooth and continuous versions of different separation axioms are proved following the categorical discussion. These are followed by a generalization of Whitney\u27s approximation theorem, a smooth version of the Tietze extension theorem, and a sufficient condition to guarantee that the connected components of these spaces are smoothly path-connected.
 
Sports Nutrition for Students with Food Allergies and Intolerances: Navigating the Complexities
Get PDFFood allergies (FA) among children and adolescents are becoming more prevalent, particularly in the U.S. A significant number of adverse food reactions occur at school. As nutrition resources, trainers and coaches must be aware of common FA issues as well as providing dietary guidance that will do no harm. For physical education teachers, a curriculum-based approach like Health Optimizing Physical Education may help to increase FA awareness and serve as a potential resource for those with FA. This paper will discuss general dietary recommendations for school-aged children, the differences between FA and food intolerances, as well as important considerations when providing dietary guidance to those with FA. Additional resources are also provided
The Limiting Spectral Measure for an Ensemble of Generalized Checkerboard Matrices
Get PDFRandom matrix theory successfully models many systems, from the energy levels of heavy nuclei to zeros of L-functions. While most ensembles studied have continuous spectral distribution, Burkhardt et al. introduced the ensemble of k-checkerboard matrices, a variation of Wigner matrices so that entries in a checkerboard pattern are some fixed constant. In this family, N - k of the eigenvalues are of order square-root of N, and were called bulks, while the rest are tightly contrained around certain multiples of N and were called blips.
We extend their work by allowing the fixed entries to take different constant values. We can construct ensembles with blip eigenvalues at any multiples of N we want and with any multiplicity. For example, we can have the blips occur at sequences such as the primes or the Fibonaccis. The presence of multiple blips creates technical challenges to separate them and to look at only one blip at a time. We overcome this by choosing a suitable weight function which allows us to localize at each blip, and then exploiting cancellation to deal with the resulting combinatorics to determine the average moments of the ensemble; we then apply standard methods from probability to prove that almost surely the limiting distributions of the matrices converge to the average behavior as the matrix size tends to infinity. For blips with just one eigenvalue in the limit we have convergence to a Dirac delta spike, while if there are k eigenvalues in a blip we again obtain hollow k by k GOE behavior