Newton’s Method Steve Smale The expression is a mathematical description of Newton’s Method. Long before Newton, the concept already was used by the Greeks for finding the square root of a positive number. Since Newt

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• Applied mathematics
• Polynomial
• Computational complexity theory
• NP-complete
• Fundamental theorem of algebra
• Algorithm
• Carl Friedrich Gauss
• NP
• P
• Mathematics
• Theoretical computer science
• Complexity classes

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• Calculus
• Multivariable calculus
• American Podiatric Medical Association

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• Employment
• Labour economics
• Behavior
• Human behavior
• Immigration to the United States
• Labor certification
• North American Industry Classification System

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• Tractor
• Backhoe
• Loader
• Skid-steer loader
• Snow removal
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• Engineering vehicles
• Agricultural machinery
• Technology

Shimura varieties and the Selberg trace formula * R.P. Langlands This paper is a report on work in progress rather than a description of theorems which have attained their final form. The results I shall describe are par

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• Mathematics
• Analytic number theory
• Algebraic geometry
• Shimura variety
• Selberg trace formula
• Explicit formula
• Representation theory
• Modular form
• Arthur–Selberg trace formula
• Mathematical analysis
• Abstract algebra
• Automorphic forms

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• Academia
• Scholarship
• Student financial aid in the United States
• Doctor of Philosophy
• Ontario Graduate Scholarship
• Elks National Foundation Scholarships
• Education
• Student financial aid
• Knowledge

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• Vehicle registration plate
• Car safety
• Road transport
• Vehicle inspection

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• Photonics
• Directed-energy weapons
• Acronyms
• Laser

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• Partial differential equations
• Differential calculus
• Numerical analysis
• Computational science
• Finite element method
• Numerical partial differential equations
• Numerical methods for ordinary differential equations
• Method of lines
• Differential equation
• Calculus
• Mathematical analysis
• Mathematics