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Found total 226 results. Displaying results from 221 to 226.

 
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221
Compuatation of some determinants
Linear Algebra

The purpose of this article is to highlight how the characterizing properties of determinants allow us to compute the determinants. Though the determinants are defined using normalization, mutli-linearity and skew-symmetry, students are not exposed to the utility of this definition in the computation of the determinants. We give a few examples to show how the abstract definition coupled/combined with Laplace expansion makes the computations easier.

Keywords : Determinants, Multilinearity, Laplace expansions

BSc, MSc
MTTS Level :
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(Downloaded 482 times last on 13 June 2026, 07:41 pm
222
How to create new inner products on R^2?
Linear Algebra

We show by elementary means how to construct all inner products o R^2.

Keywords : Inner product, positive definite, Hessian

Final BSc, MSC
MTTS Level :
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(Downloaded 632 times last on 17 June 2026, 12:21 pm
223
Polynomials with Integrer Coefficients
Ring Theory, Field Theory, Modern Algebra

Non-constant $f(X)in Z[X]$ has Zeros in $Z_p$ for Infinitely Many Primes $p$

Keywords : Polynomials, Roots, zeros, modulo a prime

MSc
MTTS Level : 2
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(Downloaded 799 times last on 19 June 2026, 02:42 pm
224
Transfer of Mathematical Structures
General

Let $fcolon Xto Y$ be a bijection. Assume that one of $X$ and $Y$ has a mathematical structure (for example, it may be a group structure, vector space structure, metric space structure or a topology). Then we may use $f$ to transfer the structure to the other set. We explain this construction with examples and bring out the significance of ``isomorphisms" and demystify the way some esoteric examples are constructed.

Keywords : Isomorphisms

3rd BSc onward
MTTS Level :
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(Downloaded 562 times last on 15 June 2026, 05:50 pm
225
Playlist for Measure Theory
MeasureTherory

The spreadsheet contains the titles, links and descriptions of the videos in the playlist on Measure Theory

Keywords : playlist, measure theory, videos

MSc, Ph.D.
MTTS Level : 2
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(Downloaded 32 times last on 13 June 2026, 10:07 am
226
Playlist for Group Theory
Group Theory

List of videos in the playlist on Group Theory

Keywords : Groups, group theory, playlist

BSc, MSc
MTTS Level :
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(Downloaded 49 times last on 18 June 2026, 05:58 am