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Ultrafast Laser Synthesis of Zeolites
The study presents a novel ultrafast laser‐driven synthesis technique for zeolites directly in liquid. Laser pulses create a microscopic reactor that controls reaction kinetics at femto‐ and picosecond timescales. Nonlinear light‐matter interactions drive nucleation and growth, allowing the process to be paused at any stage of self‐assembly.
Sezin Galioglu+11 more
wiley +1 more source
A Bayesian Tensor Decomposition Method for Joint Estimation of Channel and Interference Parameters. [PDF]
Sun Y, Wang W, Wang Y, He Y.
europepmc +1 more source
Massively Parallel Tensor Network State Algorithms on Hybrid CPU-GPU Based Architectures. [PDF]
Menczer A, Legeza Ö.
europepmc +1 more source
Deep learning-based classification of dementia using image representation of subcortical signals. [PDF]
Ranjan S+7 more
europepmc +1 more source
Entanglement growth from squeezing on the MPS manifold. [PDF]
Leontica S, Green AG.
europepmc +1 more source
One- and two-particle microrheology of soft materials based on optical-flow image analysis.
Brizioli M+8 more
europepmc +1 more source
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1998
Indeed, the map f : \( \mathbb{Z}{{ \otimes }_{\mathbb{Z}}}{{\mathbb{Z}}_{n}} \to \mathbb{Z} \cdot {{\mathbb{Z}}_{n}},f(\sum\limits_{{i = 1}}^{n} {{{x}_{i}} \otimes {{{\bar{y}}}_{i}}} ) = \sum\limits_{{i = 1}}^{n} {{{x}_{i}}{{{\bar{y}}}_{i}}} \) is readily seen to be a ℤ ...
Grigore Cǎlugǎreanu, Peter Hamburg
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Indeed, the map f : \( \mathbb{Z}{{ \otimes }_{\mathbb{Z}}}{{\mathbb{Z}}_{n}} \to \mathbb{Z} \cdot {{\mathbb{Z}}_{n}},f(\sum\limits_{{i = 1}}^{n} {{{x}_{i}} \otimes {{{\bar{y}}}_{i}}} ) = \sum\limits_{{i = 1}}^{n} {{{x}_{i}}{{{\bar{y}}}_{i}}} \) is readily seen to be a ℤ ...
Grigore Cǎlugǎreanu, Peter Hamburg
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Having considered bilinear maps, we now come to multilinear maps and basic theorems concerning their structure. There is a universal module representing multilinear maps, called the tensor product. We derive its basic properties, and postpone to Chapter XIX the special case of alternating products.
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