Results 11 to 20 of about 1,343,925 (281)
A Note on Powers in Finite Fields [PDF]
The study of solutions to polynomial equations over finite fields has a long history in mathematics and is an interesting area of contemporary research.
Aabrandt, Andreas +1 more
core +2 more sources
Local Availability of mathematics and number scaling: Effects on quantum physics
Local availability of mathematics and number scaling provide an approach to a coherent theory of physics and mathematics. Local availability of mathematics assigns separate mathematical universes, U_{x}, to each space time point, x.
Benioff, Paul
core +1 more source
A result on polynomials derived via graph theory
We present an example of a result in graph theory that is used to obtain a result in another branch of mathematics. More precisely, we show that the isomorphism of certain directed graphs implies that some trinomials over finite fields have the same ...
Coulter, Robert S. +3 more
core +1 more source
Summing Squares and Cubes of Integers [PDF]
Recreational mathematics can provide students with opportunities to explore mathematics in meaningful ways. Elementary number theory is one area of mathematics that lends itself readily to recreational mathematics.
Minor, Darrell
core
We revisit the mathematics that Ramanujan developed in connection with the famous "taxi-cab" number $1729$. A study of his writings reveals that he had been studying Euler's diophantine equation $$ a^3+b^3=c^3+d^3.
Ono, Ken, Trebat-Leder, Sarah
core +1 more source
Structural dynamics of the plant hormone receptor ETR1 in a native‐like membrane environment
The present study unveils the structural and signaling dynamics of ETR1, a key plant ethylene receptor. Using an optimized nanodisc system and solution NMR, we captured full‐length ETR1 in a native‐like membrane environment. Our findings reveal dynamic domain uncoupling and Cu(I)‐induced rigidification, providing the first evidence of metal‐triggered ...
Moritz Lemke +2 more
wiley +1 more source
Decrypting cancer's spatial code: from single cells to tissue niches
Spatial transcriptomics maps gene activity across tissues, offering powerful insights into how cancer cells are organised, switch states and interact with their surroundings. This review outlines emerging computational, artificial intelligence (AI) and geospatial approaches to define cell states, uncover tumour niches and integrate spatial data with ...
Cenk Celik +4 more
wiley +1 more source
Using multi‐omic characterization, we aimed to identify key regulators specific to squamous cell lung carcinoma (SqCC). SqCC‐specific differentially expressed genes were integrated with metabolics data. High expression of the creatine transporter SLC6A8, along with elevated creatine levels, appeared to be a distinct metabolic feature of SqCC.
Johan Staaf +10 more
wiley +1 more source
Another Formulation of the Wick's Theorem. Farewell, Pairing?
The algebraic formulation of Wick's theorem that allows one to present the vacuum or thermal averages of the chronological product of an arbitrary number of field operators as a determinant (permanent) of the matrix is proposed.
Beloussov, Igor V.
core +2 more sources
Yang-Mills theory and Tamagawa numbers: the fascination of unexpected links in mathematics [PDF]
Accepted for publication in the Bulletin of the London Mathematical ...
Asok, A, Doran, B, Kirwan, F
openaire +4 more sources

