TIM OLIMPIADE KOTA BANJAR: Computational mathematics

Computational mathematics

Computational mathematics proposes and studies methods for solving mathematical problems that are typically too large for human numerical capacity. Numerical analysis studies methods for problems in analysis using ideas of functional analysis and techniques ofapproximation theory; numerical analysis includes the study of approximation and discretization broadly with special concern for rounding errors. Other areas of computational mathematics include computer algebra and symbolic computation.

Computational mathematics emerged as a distinct part of applied mathematics by early 1950s. Currently, computational mathematics can refer to or include:

computational science, also known as scientific computation or computational engineering
solving mathematical problems by computer simulation as opposed to analytic methods of applied mathematics
numerical methods used in scientific computation, for example numerical linear algebra and numerical solution of partial differential equations
stochastic methods,^[2] such as Monte Carlo methods and other representations of uncertainty in scientific computation, for examplestochastic finite elements
the mathematics of scientific computation^[3] (the theoretical side involving mathematical proofs^[4]), in particular numerical analysis, the theory of numerical methods (but theory of computation and complexity of algorithms belong to theoretical computer science)
symbolic computation and computer algebra systems
computer-assisted research in various areas of mathematics, such as logic (automated theorem proving), discrete mathematics (search for mathematical structures such as groups), number theory (primality testing and factorization), cryptography, and computationalalgebraic topology
computational linguistics, the use of mathematical and computer techniques in natural languages
Computational geometry
Computational topology
Computational number theory
Algorithmic information theory
Algorithmic game theory

Sumber:

Wikipedia

Kami terinspirasi

A Vast and most Excellent Science How often at night When the heavens were bright with the light of the glittering Star and Moon have I stood there amazed and asked as I gazed if their glory exceeds that of ours. -Anonymous&H2O-

Pengalaman adalah: Jika Hidup ini seumpama rel kereta api dalam eksperimen relativitas maka pengalaman demi pengalaman yang mengempur kita dari waktu ke waktu adalah cahaya yang melesat-lesat di dalam gerebong di atas rel itu. Relativitasnya berupa seberapa banyak kita dapat mengambil pelajaran dari pengalaman yang melesat-lesat itu, maka analoginya adalah jika pengalaman yang sama dapat menimpa siapa saja, namun sejauh mana dan secepat apa pengalaman itu memberi pelajaran pada seseorang, hasilnya akan berbeda, relatif satu sama lain.
-Andrea H-

Anyone who has never made a mistake has never tried anything new.
-Albert Einstein-

The Atom and the Quantum
Hail to Max Planck, Einstein, Bohr, Pauli, Broglie, Schrödinger, Feynman, and Young man in the Future from the worshipful! You are the Master by whom we are led. Awed by your cryptic and proud affirmations. Each of us, driven half out of their head, still remains true to you wouldn't say boo to you, Swallows your theories from Alpha to Zed, Even if (drink to him, tankards must clink to him!) None of us fathoms a word you have said -George G.& H2O-

Particles and Waves
We are trapped by language to such a degree that every attempt to formulate insight is a play on words. (2πrmv = n h) n = 2πr/λ n = an integral number λ = wave length h = Planck's Constant 2πr = Circle's Constant (Orbit equation) -Niels Bohr& -H2O-

Does God Play Dice?

But you tell me of an invisible planetary system where electrons gravitate around a nucleus. You explain this to me with an image, I realize then that you have been reduced to poetry: " I shall never know. I have the time to become indignant? you have changed theories. so that the sciences that was to teach me everything ends up in a hypothesis, that lucidity founders in metaphor, that uncertainty is resolved in a work of art

-A.Camus, The Myth of Sisyphus.-

Schrödinger's Cat The law of chaos is the law of ideas, of improvisations and seasons of belief

The Dreams stuff is made of

Like a gleam in the darkness, we have appeared for an instant from the black nothingness of the ever-unconscious matter, in order to make good the demands of reason and create a life worthy of ourselves and of the Goal we only dimly perceive -Andrei Sakharov-

Quantum field Theories
"The nature of a field is completely determined by the properties of the particle that transmit it, while the nature of a particle depends solely on the ways in, which it couples to fields. QED = Quantum Electrodynamic α = e2/ħc QCD = Quantum Color Dynamic (Quantum Foam) rp = Second root of Għ/c3 = 1,6 x 10-35(power) it is Planck's Length -Richard Feynman,Julian Schwinger, Murray Gell-mann and George zweig & -H2O-

The whole Shebang
I am astounded by people who want to "know" the universe when it's hard enough to find your way around the world -H2O-