## What is/are Compact Phase?

Compact Phase - One obtains a marginally compact phase at low temperatures; the structures in this phase are reduced in dimensionality and are ordered, they include strands assembled into sheets and a variety of helices, and at least one of the transitions on lowering the temperature to access these ordered states is found to be first order.^{[1]}The sensor can be read out via a compact phase fluorimeter.

^{[2]}In this communication, such function is realized by designing a compact phase-controlled pattern-reconfigurable dielectric resonator antenna (DRA).

^{[3]}We define a regular dynamical system over a compact phase space, obtaining global results.

^{[4]}As predicted by theory, as interparticle attraction increases, the collective transitions from dispersed to a compact phase.

^{[5]}We find that: 1) the fast mean size growth of MGs is well reproduced independently of the shape of the input SMHM relation; 2) the numbers of compact MGs grow steadily until z & 2 and fall off at lower redshifts, suggesting a lesser role of progenitor bias at later epochs; 3) a time-independent scatter σSMHM is consistent with a scenario in which compact starforming MGs transition into quiescent MGs in a few 108yr with a negligible structural evolution during the compact phase, while a scatter increasing at high redshift implies significant size growth during the starforming phase.

^{[6]}As solvent-swollen quasi-solids with both a compact phase and a free space, gels enable manipulation of intramolecular motions.

^{[7]}On the other hand, for hydrogen-assisted cracking in metal, we propose a compact phase field model focusing on a kinematic jamming effect of the hydrogen by a weak coupling approach.

^{[8]}Compared with the two-beam interferometer, the TBIR applied to two-degree-of-freedom displacement measurement is more compact in structure due to the more compact phase measurement components.

^{[9]}The nanophotonics enhanced coverslip (NEC) enables ultra-compact phase imaging of samples placed directly on top of the device.

^{[10]}Thickening as the most widely applied dewatering technique in the coal and mineral processing industry involves the rapid settling of flocculated suspensions of fine tailings particles to produce a compact phase of solid at the bottom and a clear phase of liquid on the top.

^{[11]}The small size of both the phase-shifter and LNA enables an ultra-compact phased-array receiver front-end under 0.

^{[12]}The TX was coupled to a compact phased-array antenna receiver to achieve angle of arrival (AOA) estimation and bee localization through a received signal strength indicator approach (RSSI).

^{[13]}The formation time of the solid-phase extractants compact phase was 20-240 min.

^{[14]}It is also envisioned that modular, compact phased array antenna systems featuring multi-functionality and wide/multi operating spectrum will be deployed in future wireless applications.

^{[15]}In comparison to its traditional counterparts, the novel design yields a highly compact phase shifter because the separation between the loading elements on the MTL can be less than quarter wavelength, whereas low insertion loss is achieved because the diodes are loaded to the branches.

^{[16]}This method reduces the problem from modelling an infinite number of surface points to modelling a finite coefficient dimension of points in the compact phase space.

^{[17]}Compact phased array transmitter (TX) and receiver (RX) modules operating at 94 GHz are presented and demonstrated in a 3D radar imaging system.

^{[18]}A compact phase shifter using substrate integrated waveguide (SIW) with two slots is proposed in this letter.

^{[19]}We present a compact phase modulation setup designed for high laser intensities sufficient to drive highly nonlinear processes, such as high-gain harmonic generation in seeded free-electron lasers.

^{[20]}Superconducting circuits for quantum information processing are often described theoretically in terms of a discrete charge, or equivalently, a compact phase/flux, at each node in the circuit.

^{[21]}Flow boiling in small channels has attracted much attention due to its promising application in compact phase change heat exchangers.

^{[22]}In the COMPACT phase 3 study the prophylactic use of a subcutaneous C1 inhibitor (C1-INH [SC], HAEGARDA®, CSL Behring) twice weekly significantly reduced the frequency of acute edema attacks.

^{[23]}Thus, the novel design yields a highly compact phase shifter at L-band.

^{[24]}This leads to the emergence of a novel phase within the previously obtained marginally compact phase, with the appearance of more complex secondary structure assemblies.

^{[25]}Unexpected effect of the increased content of aragonite, which is the most compact phase in comparison with calcite and vaterite, was observed.

^{[26]}This device confirms electrical phase shifting in ITO enabling its use in applications such as compact phase shifters, sensing, and phased array applications for LiDAR.

^{[27]}This paper presents a four-element compact phased Planar Inverted-E Antenna (PIEA) array for 6 GHz beamforming applications.

^{[28]}Furthermore, the widespread application of CSRR also helps generalize the slow-wave effect, and a more compact phase- shifter-based half-mode substrate-integrated waveguide (HMSIW) is obtained.

^{[29]}With such compact phase shifters, we demonstrate beam steering with a 1x8 PIC phased array.

^{[30]}The matrix fcc-phase with larger parameter transforms into the more compact phase during annealing up to 1273 K.

^{[31]}Compact phased-array antennas embedded in flip-chip ball grid array (BGA) packages are proposed to operate over the unlicensed 60 GHz frequency band.

^{[32]}Results show that the refractive index change associated with the domain switching of the BaTiO3 cladding enables the realization of compact phase actuators with a length of few tens of micron.

^{[33]}This paper presents a wideband compact phaser with a linear group delay, a key block to many Analog Signal Processing applications as Real-Time Fourier Transforming systems (RTFT).

^{[34]}Moreover, by utilizing compact phase shifters in a row–column power delivery grid, we reduce the number of required drivers from 144 to 37.

^{[35]}Angular momentum and rotation support in the disc are partly lost during the most perturbing phases, resulting in a morphologically compact phase.

^{[36]}Field-emission scanning electron microscopy revealed that a compact phase of nanorods was deposited in the dilute [Al3+], a mixed phase consisting of nanorods and nanosheets was deposited in the medium [Al3+], and a loose phase of cloudy floc was produced in the concentrated [Al3+].

^{[37]}

## Highly Compact Phase

In comparison to its traditional counterparts, the novel design yields a highly compact phase shifter because the separation between the loading elements on the MTL can be less than quarter wavelength, whereas low insertion loss is achieved because the diodes are loaded to the branches.^{[1]}Thus, the novel design yields a highly compact phase shifter at L-band.

^{[2]}

## Marginally Compact Phase

One obtains a marginally compact phase at low temperatures; the structures in this phase are reduced in dimensionality and are ordered, they include strands assembled into sheets and a variety of helices, and at least one of the transitions on lowering the temperature to access these ordered states is found to be first order.^{[1]}This leads to the emergence of a novel phase within the previously obtained marginally compact phase, with the appearance of more complex secondary structure assemblies.

^{[2]}

## compact phase shifter

In comparison to its traditional counterparts, the novel design yields a highly compact phase shifter because the separation between the loading elements on the MTL can be less than quarter wavelength, whereas low insertion loss is achieved because the diodes are loaded to the branches.^{[1]}A compact phase shifter using substrate integrated waveguide (SIW) with two slots is proposed in this letter.

^{[2]}Thus, the novel design yields a highly compact phase shifter at L-band.

^{[3]}This device confirms electrical phase shifting in ITO enabling its use in applications such as compact phase shifters, sensing, and phased array applications for LiDAR.

^{[4]}With such compact phase shifters, we demonstrate beam steering with a 1x8 PIC phased array.

^{[5]}Moreover, by utilizing compact phase shifters in a row–column power delivery grid, we reduce the number of required drivers from 144 to 37.

^{[6]}

## compact phase space

We define a regular dynamical system over a compact phase space, obtaining global results.^{[1]}This method reduces the problem from modelling an infinite number of surface points to modelling a finite coefficient dimension of points in the compact phase space.

^{[2]}