Results 21 to 30 of about 4,354 (265)
On the distance distribution of duals of BCH codes
We derive upper bounds on the components of the distance distribution of duals of BCH codes. Roughly speaking, these bounds show that the distance distribution can be upper-bounded by the corresponding normal distribution. To derive the bounds we use the
Krasikov, I
core +1 more source
Double exponential sums with exponential functions
We obtain several estimates for double rational exponential sums modulo a prime [Formula: see text] with products [Formula: see text] where both [Formula: see text] and [Formula: see text] run through short intervals and [Formula: see text] is fixed ...
Igor E. Shparlinski, Kam Hung Yau
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On Two Exponential Sums and Their Applications
We give estimates of two exponential sums over finite fields for which Weil's estimates fail. Using our estimates and Cohen's sieve method, we prove the conjecture of Hansen and Mullen for the second coefficient in characteristic two when the degree ...
Bao, Han Wen
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Parameter estimation for bivariate exponential sums [PDF]
Parameter estimation for exponential sums is a classical problem in signal processing. Recently, a new concept for estimating parameters of bivariate exponential sums has been proposed. The resulting method relies on parameter estimations for univariate exponential sums along several lines in the plane.
Benedikt Diederichs, Armin Iske
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The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li +2 more
wiley +1 more source
We reconstituted Synechocystis glycogen synthesis in vitro from purified enzymes and showed that two GlgA isoenzymes produce glycogen with different architectures: GlgA1 yields denser, highly branched glycogen, whereas GlgA2 synthesizes longer, less‐branched chains.
Kenric Lee +3 more
wiley +1 more source
An exponential sum estimate for systems with linear polynomials [PDF]
In his paper [5], W. M. Schmidt obtained an exponential sum estimate for systems of polynomials without linear polynomials, which was then used to apply the Hardy–Littlewood circle method. We prove an analogous estimate for systems which include linear polynomials.
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We analyze cisplatin–DNA adducts (CDAs) and double‐strand breaks (DSBs) in a cell‐cycle‐dependent manner. We find that CDAs form similarly across all cell cycle phases. DSBs arise only in S‐phase. CDAs might not directly impair DSB repair, but S‐phase DSB lesions evolve in the presence of CDAs and disrupt repair in G2, also causing radiosensitization ...
Ye Qiu +10 more
wiley +1 more source
Exponential sums: the estimate of Hasse-Davenport-Weil [PDF]
The paper is the reading material for an introductory course on algebraic function fields given by the author at the Escola de Algebra in Rio de Janeiro in July 1996. The title of the six sections are: 1. Statement of main results, 2. The divisor character \(\chi_f\) and its \(L\)-series, 3. The conductor of \(\chi_f\), 4.
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Intratumour heterogeneity complicates precision management of advanced endometrial cancer. Circulating tumor DNA (ctDNA) offers a minimally invasive strategy to capture tumor evolution and therapeutic resistance. Here, we compare tumor‐agnostic NGS with tumor‐informed ddPCR, outlining their relative sensitivity, concordance, and clinical implications ...
Carlos Casas‐Arozamena +15 more
wiley +1 more source

