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Aggressive osteoblastoma is a type of bone tumor rarely reported in veterinary literature. Osteoblastoma may be misdiagnosed as an osteosarcoma, which is a well-understood malignant bone tumor. Owing to poor prognosis, animals diagnosed with osteosarcoma are not always treated. In the present case, we diagnosed the tumor as aggressive osteoblastoma on the basis of macroscopic, microscopic, radiographic, and immunohistologic findings. The patient was treated via resections of the osteoblastoma and lived without metastasis for 3 years. This is the first reported case of aggressive feline osteoblastoma of the cervical vertebrae and will be useful for diagnosing and managing aggressive osteoblastoma. [ABSTRACT FROM AUTHOR]

We establish the general solutions of the following mixed type of quartic and quadratic functional equation: f(2x + y) + f(2x -y) = 4f(x + y) + 4f(x - y) + 2f(2x) - 8f(x) - 6f(y). Moreover we prove the Hyers-Ulam-Rassias stability of this equation under the approximately quartic and the approximately quadratic conditions. [ABSTRACT FROM AUTHOR]

We present a first-principles study on hydrogen-induced interactions in vanadium, such as V-H, H-H, and vacancy-H interactions, which are relevant to the H-induced embrittlement in vanadium alloys employed as H2 purification membranes. Insertion of H at tetrahedral interstitial sites of V proceeds exothermically and lowers the energy levels of V 3d, 4s, and 4p states that form a bonding state with H 1s. However, H insertion accompanies large local atomic relaxation, thereby developing stress inside the material, which makes a good contrast with Pd where H can be added without significant structural distortion. The strength of the H-H interaction in V, which is indeed an interaction between two V-H bonding states, is negligibly small compared with that of the V-H interaction itself when the H-H distance is larger than ~2 Å. We show that six H atoms can be trapped at the six octahedral sites next to a vacancy in V. Formation of H2 molecules is energetically unfavorable, which is different from the cases of Al and W, where H2 molecules can be formed when enough H atoms are accumulated in a vacancy. Reasons behind this difference, together with the energetics of H-induced superabundant vacancy formation, are discussed. [ABSTRACT FROM AUTHOR]

We consider the following additive functional equation with n-independent variables: f(Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed. xi) = Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed. f(xi) + Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed. f(xi-xi-1) in the spaces of generalized functions. Making use of the heat kernels, we solve the general solutions and the stability problems of the above equation in the spaces of tempered distributions and Fourier hyperfunctions. Moreover, using the mollifiers, we extend these results to the space of distributions. [ABSTRACT FROM AUTHOR]

In this paper, we propose orthogonal frequency division multiplexing (OFDM) receivers using oversampling, where the oversampling ratio is extended from integers to rational numbers. We propose several receiver structures, which reveal the same performance, with the same oversampling ratio. Since the low-pass filters in general OFDM receivers are not ideal, additional noise is introduced into the side bands of the demodulated signal. If we increase the sampling frequency above the symbol rate, subcarriers with higher frequencies than we want are obtained and composed of noise only. Removing the unwanted higher frequency components we can reduce the noise and obtain signal-to-noise power ratio gain compared to the conventional symbol rate receivers. Through computer simulations, we verify the proposed method. [ABSTRACT FROM AUTHOR]

We consider the general solution of quartic functional equations and prove the Hyers-Ulam- Rassias stability. Moreover, using the pullbacks and the heat kernels we reformulate and prove the stability results of quartic functional equations in the spaces of tempered distributions and Fourier hyperfunctions. [ABSTRACT FROM AUTHOR]

The article offers an overview of the study which examines the stability of a quadratic functional equation in the spaces of generalized functions. Making use of the pullbacks, it reformulated the quadratic equation f (x + y + z) + f (x) + f (y) + f (z) = f(x + y) + f ( y + z ) + f ( z + x ) in the spaces of generalized functions. It also used the fundamental solution of the heat equation, it obtained the general solution and proved the Hyers-Ulam stability of this equation in spaces of generalized functions such as tempered distributions and Fourier hyperfunctions.

The article focuses on the stability of cubic functional equation in the spaces of generalized functions. It is proved that the Hyers-Ulam-Rassias stability theorem cubic functional equation of the cubic functional equation f ( ax + y ) + f ( ax - y ) = af ( x + y ) + af ( x - y ) + 2a(a2 - 1 ) f ( x ) for fixed integer a with a ≠ 0, ± 1 in the spaces of Schwartz tempered distributions and Fourier hyperfunctions. It is mentioned that in 1940, questions concerning the stability of group homomorphisms was solved by Hyers, assuming that G1 and G2 are Banach spaces. It is said that in 1978, Rassias generalized Hyers' result to the unbounded Cauchy difference.

Transparent surface crystallized glasses have been prepared by controlled heat treatment in the system xK 2 O-(33.3-x) BaO-16.7TiO 2 -50SiO 2 (0 = x = 20 mol%), and properties were investigated. The glassy nature was analyzed by differential thermal analyses. The transparency of glass-ceramics is variable and controllable by the processing parameters like time and temperature. The c-axis orientation of surface crystallized Ba 2 TiSi 2 O 8 was observed at the bulk glass-ceramics surfaces and characterized the diffraction intensity ratio (002)/I(001). The estimated nonlinear optical susceptibility ? (3) is discussed in relation to the optical parameters. [ABSTRACT FROM AUTHOR]

A tight-binding-based microscopic theory is developed that accounts for quasilinear conduction bands appearing commonly in transparent conducting oxides. It is found that the interaction between oxygen p and metal s orbtials plays a critical role in determining the band structure around the conduction-band minimum. Under certain types of short-range orders, the tight-binding model universally leads to a dispersion relation which corresponds to that of the massive Dirac particle. The impact of the graphenelike band structure is demonstrated by evaluating the electron mobility of highly doped n-type ZnO. [ABSTRACT FROM AUTHOR]

The article presents a case study of a 46-year-old man with exertional dyspnea and a 10-year history of hearing impairment. Medical imaging examinations revealed severe concentric left ventricular hypertrophy with a diffused speckled pattern of the myocardium, hypertrophy of cardiomyocytes, and hyperplasia of mitochondria. The patient was diagnosed with hypertrophic cadiomyopathy attributable to mitochondrial DNA mutation through pathology and gene sequencing.