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Formulas! Formulas! Everywhere!
This article describes activities that can be used to introduce the concepts of perimeter and area with conceptual understanding for students in grades 4 through 9. The transformations of reflection and rotation are used to build this understanding.
Todd O Moyer, R. Michael Krach
openaire +1 more source
Theoretical Study of Dual-Core Photonic Crystal Fibers With Metal Wire
In this paper, we, for the first time, systematically study a new structure of a dual-core photonic crystal fiber filled with a metal wire in the center air hole.
Shuyan Zhang +6 more
doaj +1 more source
Photonics Millimeter-Wave Generation in the E-Band and Bidirectional Transmission
For the first time, we propose and experimentally demonstrate millimeter-wave (mm-wave) generation in the E-band (71-76 GHz and 81-86 GHz) based on photonics generation technique.
Xinying Li, Jianjun Yu, Ze Dong, Nan Chi
doaj +1 more source
Hybrid SRRs Design and Fabrication for Broadband Terahertz Metamaterials
Hybrid metamaterials comprising split-ring resonator (SRR) structures with different gap dimensions are fabricated on polyethylene naphthalate (PEN) films by parallel laser micro-lens array (MLA) lithography and a liftoff process. The unit cell of hybrid
Z. Y. Pan +4 more
doaj +1 more source
Boundary reduction formula [PDF]
An asymptotic theory is developed for general non-integrable boundary quantum field theory in 1+1 dimensions based on the Langrangean description. Reflection matrices are defined to connect asymptotic states and are shown to be related to the Green ...
Bajnok, Z., Bohm, G., Takacs, G.
core +3 more sources
Impact of Detector Spatial Uniformity on the Measurement of Averaged LED Intensity
Photometers are widely used for the measurement of the average LED intensity as defined by CIE 127, under the circumstance that LEDs have many kinds of intensity spatial distributions.
Jian Liu +5 more
doaj +1 more source
Testing formula satisfaction [PDF]
We study the query complexity of testing for properties defined by read once formulae, as instances of massively parametrized properties, and prove several testability and non-testability results.
D. Ron +12 more
core +1 more source
Spectral Dynamical Behavior in Passively Mode-Locked Semiconductor Lasers
In this paper, we present an experimental and theoretical study of passive mode-locking in semiconductor Fabry-Pérot, quantum-well, lasers operating at around 1550 nm and producing picosecond pulses at a repetition frequency of 40 GHz.
P. M. Stolarz +7 more
doaj +1 more source
Generalized Goldberg Formula [PDF]
In this paper we prove a useful formula for the graded commutator of the Hodge codifferential with the left wedge multiplication by a fixed $p$-form acting on the de Rham algebra of a Riemannian manifold.
De Nicola, Antonio, Yudin, Ivan
core +2 more sources
High-Quality Optical Frequency Comb by Spectral Slicing of Spectra Broadened by SPM
This paper introduces a spectral slicing technique that extends the useful spectral range of frequency combs generated through self-phase modulation (SPM) of mode-locked laser pulses.
D. Hillerkuss +11 more
doaj +1 more source

