#mathematics

Sci-books.comscibooks
2025-10-09

Mathematics Today Twelve Informal Essays by L.A. Steen (PDF)
Author: L.A. Steen
File Type: PDF
Download at sci-books.com/mathematics-toda
, .A.Steen

2025-10-09

I wonder if there are any experts in optimization and linear/nonconvex/semidefinite programming that can help me with a peculiar linear-programming problem. The problem is this:

maximize (or minimize) a.x
given these constraints:

b_k . x ≥ r_k (k = 1, 2, ...)

c_l . x = s_l (l = 1, 2, ...)

x . A x = 0

x_i ≥ 0

where x, b_k, c_l are column vectors, "." the dot-product, and A a symmetric matrix that is not necessarily positive definite.

The problem is peculiar because it would just be a linear one, if it weren't for the quadratic constraint. But the quadratic constraint is homogeneous and a strict equality.

Is there an algorithm to find the exact, global solution? I'd be thankful for pointers to relevant literature at least. I'm studying from several texts but the literature in this field is huge, with so many different cases and approaches.

math.stackexchange.com/q/51007

#mathematics #optimization #linearprogramming #semidefiniteprogramming #nonconvexprogramming

Sci-books.comscibooks
2025-10-09

On the Shoulders of Giants: New Approaches to Numeracy 1st Edition by National Research Council (PDF)
Author: National Research Council
File Type: PDF
Download at sci-books.com/on-the-shoulders
,

Interesting Mathematics Facts

Preamble novaTopFlex returns to a mathematic conquest of the journey to the top, the gateway to pure mathematic joy and excellence, and all the way to the purest forms of excitement! The novaTop community shall anticipate the highest performance levels possible in every respect in terms of what is considered ideal, desirable, and acceptable, with very high standards to ensure accuracy, fairness, and correctness. Starting with phase one, where a calculator is allowed, recommended, and […]

novatopflex.wordpress.com/2025

Sci-books.comscibooks
2025-10-09

Mathematics Tomorrow by L.A. Steen (PDF)
Author: L.A. Steen
File Type: PDF
Download at sci-books.com/mathematics-tomo
, .A.Steen

Sci-books.comscibooks
2025-10-09

Teaching Teachers, Teaching Students: Reflections on Mathematical Education by Donald J. Steen, Lynn Arthur;Albers (PDF)
Author: Donald J. Steen
File Type: PDF
Download at sci-books.com/teaching-teacher
, .Steen|LynnArthur;Albers

Sci-books.comscibooks
2025-10-08

PAUL HALMOS Celebrating 50 Years of Mathematics by John Ewing (PDF)
Author: John Ewing
File Type: PDF
Download at sci-books.com/paul-halmos-cele
,

Liberty of the Forestlibertyoftheforest2
2025-10-08

Now I'm thinking about the epistemology of mathematics and the interdependence of what and how we know what we know in mathematics. And how this would be related to mathematical relationalism in general.

Sci-books.comscibooks
2025-10-08

The Apprenticeship of a Mathematician 1992nd Edition by Andre Weil (PDF)
Author: Andre Weil
File Type: PDF
Download at sci-books.com/the-apprenticesh
,

Leanpubleanpub
2025-10-08

The Forecasting, CatBoost & Conformal Prediction Tetralogy leanpub.com/b/forecasting_catb by Valery Manokhin is the featured bundle of ebooks 📚 on the Leanpub homepage! leanpub.com

Find it on Leanpub!

GDeveloper :archlinux: :cpp:im_a_GDeveloper@mas.to
2025-10-08

Me compre este libro xd. Donde vivo ocurren muchos apagones y necesito una manera de pasar en tiempo (Estoy estudiando matemáticas para crear un motor de videojuegos).

El libro es artesanal(Pirata), no puedo comprar ni encargar desde amazon por varias razones.

#mathematics

Alexander KnochelQuantensalat@scicomm.xyz
2025-10-08

Haha I watched a vid on topological solutions in euclidean quantum field theory, and Youtube autogenerated a summary of key concepts, and the first entry was "Sine and Cosine functions" lol
#physics #mathematics

Paysages Mathématiquespaysmaths@mathstodon.xyz
2025-10-08

"My whole life, my ambition as a mathematician, or rather my joy and my passion, have always been to discover the obvious things." – Alexandre Grothendieck (1928-2014)
#quote #mathematics #math #maths

Photographic portrait of Alexandre Grothendieck, and a quote : "My whole life, my ambition as a mathematician, or rather my joy and my passion, have always been to discover the obvious things."
2025-10-08

Khám phá các bài học tương tác về Lý thuyết đồ thị! Một tài nguyên tuyệt vời để hiểu sâu hơn về lĩnh vực toán học hấp dẫn này.

#GraphTheory #InteractiveLearning #Mathematics #Education
#LýThuyếtĐồThị #HọcTậpTươngTác #ToánHọc #GiáoDục

learngraphtheory.org/

Paysages Mathématiquespaysmaths@mathstodon.xyz
2025-10-08

Theorem of the Day (October 8, 2025) : L’Hospital’s Rule
Source : Theorem of the Day / Robin Whitty
pdf : theoremoftheday.org/Analysis/L
notes : theoremoftheday.org/Resources/

#mathematics #maths #math #theorem @Theoremoftheday

Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem.

L’Hospital’s Rule : Let f (x) and g(x) be real-valued functions of a real variable x. Let a ∈ R and suppose that, in some open interval containing a, f (x) and g(x) are differentiable except possibly at x = a, with g′(x) being nowhere zero. Suppose, moreover that lim_(x→a) f = lim_(x→a) g = 0 or |lim_(x→a) f | = | lim_(x→a) g| = ∞.
Then lim_(x→a) f ′(x)/g′(x), provided this limit exists, satisfies
lim_(x→a) (f (x) / g(x)) = lim_(x→a) (f ′(x) / g′(x))

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