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Affine and Euclidean Geometry by Shahzad Idress
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Spaces & Subspaces * Affine Subspaces: Affine Combination, Convex Combination, Dimension of an Affine Subspace, Affine Span, Affine Independence, Affine Basis, Barycent
Algebra II by Syed Sheraz Asghar
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near Transformation * Quotient Space * Linear Combination * Linearly Dependent * Linear Span * Basis
Elementary Linear Algebra by Muhammad Usman Hamid
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ces:** Definition and examples, subspaces. Linear combination and spanning set. Linearly Independent sets. Fini
Mathematical Statistics I by Muzammil Tanveer
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* Equally likely events * Permutations * Combinations * Laws of Probability * Laws of Complement
Mathematical Statistics by Ms. Iqra Liaqat
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* Multiplication rule * Permutation rule * Combination rule * Vote * Classical definition of probabi
Multivariable Calculus by M Usman Hamid and M Zeeshan Ahmad
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quence, Series and Complex Integration. Through a combination of theoretical foundations, practical application
Quantitative Reasoning-I (Exploring Quantitative Skills)
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tiplication rule * Factorial, permutation and combination * Probability * Probability and its applica
Topology: Handwritten Notes
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it ball; Convex set * Vector space * Linear combination; Spanning set; Linearly independent * Linearly
Vector Spaces (Handwritten notes)
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elated theorems * Homomorphism, kernel, linear combination * Linear span, related theorem * Finite di
Vector Space (Review) by Rashad Wattu
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es * Sum of subspaces * Direct sum * Linear combination and spanning sets * Spanning sets * Null spac