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1.
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Andrew J. Einstein, Hai-Shan Wu, and Joan Gil
Show Abstract
Methods are presented for characterizing the self-affinity and lacunarity of arbitrarily shaped images. Chromatin appearance in breast epithelial cell nuclei is shown to be statistically self-affine. Spectral and Minkowski dimensions are lesser in nuclei of malignant cases than in nuclei of benign cases, and lacunarity further quantifies morphologic differences such as chromatin clumping and nucleoli. Fractal texture features are used as the basis for an accurate cytologic diagnosis of breast cancer.
Phys. Rev. Lett. 80, 397 (1998)
Cited 14 times
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2.
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Albert Einstein
No abstract available.
Phys. Rev. 89, 321 (1953)
Cited 4 times
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3.
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Albert Einstein
No abstract available.
Rev. Mod. Phys. 20, 35 (1948)
Cited 30 times
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4.
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A. Einstein and E. G. Straus
Show Abstract
[Rev. Mod. Phys. 17, Numbers 2 and 3, 120 (April-July, 1945)]
Rev. Mod. Phys. 18, 148 (1946)
Cited 36 times
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5.
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Albert Einstein and Ernst G. Straus
No abstract available.
Rev. Mod. Phys. 17, 120 (1945)
Cited 83 times
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6.
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A. Einstein and N. Rosen
No abstract available.
Phys. Rev. 49, 404 (1936)
Cited 18 times
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7.
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A. Einstein and N. Rosen
Show Abstract
The writers investigate the possibility of an atomistic theory of matter and electricity which, while excluding singularities of the field, makes use of no other variables than the gμν of the general relativity theory and the ϕμ of the Maxwell theory. By the consideration of a simple example they are led to modify slightly the gravitational equations which then admit regular solutions for the static spherically symmetric case. These solutions involve the mathematical representation of physical space by a space of two identical sheets, a particle being represented by a "bridge" connecting these sheets. One is able to understand why no neutral particles of negative mass are to be found. The combined system of gravitational and electromagnetic equations are treated similarly and lead to a similar interpretation. The most natural elementary charged particle is found to be one of zero mass. The many-particle system is expected to be represented by a regular solution of the field equations corresponding to a space of two identical sheets joined by many bridges. In this case, because of the absence of singularities, the field equations determine both the field and the motion of the particles. The many-particle problem, which would decide the value of the theory, has not yet been treated.
Phys. Rev. 48, 73 (1935)
Cited 120 times
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8.
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A. Einstein, B. Podolsky, and N. Rosen
Show Abstract
In a complete theory there is an element corresponding to each element of reality. A sufficient condition for the reality of a physical quantity is the possibility of predicting it with certainty, without disturbing the system. In quantum mechanics in the case of two physical quantities described by non-commuting operators, the knowledge of one precludes the knowledge of the other. Then either (1) the description of reality given by the wave function in quantum mechanics is not complete or (2) these two quantities cannot have simultaneous reality. Consideration of the problem of making predictions concerning a system on the basis of measurements made on another system that had previously interacted with it leads to the result that if (1) is false then (2) is also false. One is thus led to conclude that the description of reality as given by a wave function is not complete.
Phys. Rev. 47, 777 (1935)
Cited 1,945 times
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9.
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Albert Einstein, Richard C. Tolman, and Boris Podolsky
No abstract available.
Phys. Rev. 37, 780 (1931)
Cited 8 times
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