Symmetry often governs condensed matter physics. The act of breaking symmetry spontaneously leads to phase transitions, and various observables or observable physical phenomena can be directly associated with broken symmetries. Examples include ferroelectric polarization, ferromagnetic magnetization, optical activities (including Faraday and magneto-optic Kerr rotations), second harmonic generation, photogalvanic effects, nonreciprocity, various Hall-effect-type transport properties, and multiferroicity. Herein, we propose that observable physical phenomena can occur when specimen constituents (i.e., lattice distortions or spin arrangements, in external fields or other environments, etc.) and measuring probes/quantities (i.e., propagating light, electrons or other particles in various polarization states, including vortex beams of light and electrons, bulk polarization or magnetization, etc.) share symmetry operational similarity (SOS) in relation to broken symmetries. In addition, quasi-equilibrium electronic transport processes such as diode-type transport effects, linear or circular photogalvanic effects, Hall-effect-type transport properties ((planar) Hall, Ettingshausen, Nernst, thermal Hall, spin Hall, and spin Nernst effects) can be understood in terms of symmetry operational systematics. The power of the SOS approach lies in providing simple and physically transparent views of otherwise unintuitive phenomena in complex materials. In turn, this approach can be leveraged to identify new materials that exhibit potentially desired properties as well as new phenomena in known materials.will limit our discussion to the central, often one-dimensional (1D), cases that are pictorially succinct and intuitive, applicable to numerous different materials, and most relevant to observables or observable physical phenomena.When the motion of an object in one direction is different from that in the opposite direction, it is called a nonreciprocal directional dichroism or simply a nonreciprocal effect [7][8][9]. The object can be an electron, a phonon, spin wave, or light in crystalline solids, and the best known example is that of nonreciprocal charge transport (i.e., diode) effects in p-n junctions, where a built-in electric field (E) breaks the directional symmetry [10]. The polarization (P) of ferroelectrics such as BiFeO3 or polar semiconductors such as BiTeBr can also act like the built-in electric field, so bulk diode (and photovoltaic) effects can be realized in these materials [11,12]. Certainly, both E and P are polar vectors, and behave identical under various symmetry operationssimilar with the identical behavior of magnetic field (H) and magnetization (M). In addition to p-n junctions, numerous technological devices such as optical isolators, spin current diodes or metamaterials do utilize nonreciprocal effects.Multiferroics, where ferroelectric and magnetic orders coexist, has attracted an enormous attention in recent years because of the cross-coupling effects between magnetism and ferroelectricity, and the ...