The stock segment of China's time-honored brand enterprises has an important position in our securities stock market. The holiday effect is one of the market anomalies that occur in the securities market, which refers to the phenomenon that the stock...
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Our goal in this work is to found a closed form for rational generat- ing functions, these generate a various families of polynomials and generalized polynomials, in order to get the general recursive formula satisfied by these polynomials....
As a corollary to our main result we deduce sharp A_p$ inequalities for T being either the Hilbert transform in dimension d=1, the Beurling transform in dimension d=2, or a Riesz transform in any dimension d\ge 2. For T_{\ast} the maximal truncatio...
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Chapter 1 Hiding inside a closet at my husband’s birthday party,my fingers trembled as I tightened my hold on the pregnancy test and house keys meant to surprise Alex.Three years of our marriage,dr...
Chapter 1 Hiding inside a closet at my husband’s birthday party,my fingers trembled as I tightened my hold on the pregnancy test and house keys meant to surprise Alex.Three years of our marriage,dr...
# Chapter 1 Three years. One thousand and ninety-five days of trying to be the perfect wife, and this was my reward divorce papers on our anniversary. I stared at Stefan's perfect signature on the l...
We collect some of our favorite proofs of Brooks' Theorem, highlighting advantages and extensions of each. The proofs illustrate some of the major techniques in graph coloring, such as greedy coloring, Kempe chains, hitting sets, and the Kernel Lemma...
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Grab your duster, hat, and your favorite weapon because it’s time for some Bounty Hunting! Explore our largest map addition yet and hunt down some of the largest bounties Burning Springs has to offe...
Hello fellow travelers! We are fresh out of Namibia and I will tell you a little bit about our two week adventure. Hold on tight :) To venture around the country, we hired a pick up truck with a ten...
K2-Think is a reasoning system that achieves state-of-the-art performance with a 32B parameter model, matching or surpassing much larger models like GPT-OSS 120B and DeepSeek v3.1. Built on the Qwen2.5 base model, our system shows that smaller models...
The locker puzzle is a game played by multiple players against a referee. It has been previously shown that the best strategy that exists cannot succeed with probability greater than 1-ln2 \approx 0.31, no matter how many players are involved. Our...
Our recent research on type-I quadrature parity-time (PT) symmetry, utilizing an open twin-beam system, not only enables observing genuine quantum photonic PT symmetry amid phase-sensitive amplification (PSA) and loss in the presence of Langevin nois...
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