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What is the maximum altitude reached by a Superpressure balloon?Can we control the balloons altitude with an air pump?
What is the maximum altitude reached by a Superpressure balloon?Can we control the balloons altitude with an air pump?
A detailed report of findings on the altitudes which can be reached by super pressure balloons and how various factors and considerations affect this. Superpressure balloons are deployed and researched by various organisations including NASA, to solve technical limitations such as cell tower coverage as well as advancing fields of research. Balloons are used in planetary exploration, and weather prediction to teaching primary school physics. The versatile yet simple aerostat has been a valuable tool in many areas of engineering and their altitude ceiling is of great scientific interest. To solve the problem without the ability to physically reproduce the scenario, required mathematical models to be created as a means of simulating the effects of real world physics. A degree great enough to output an accurate and hence useful result without becoming too complex to be computable is the fine balance attempted to be created by this paper.
Charles Poppy
Template for SIAM Online-Only Journals
Template for SIAM Online-Only Journals
Template for SIAM Online-Only Journals (JUQ, SIADS, SIAGA, SIFIN, and SIIMS), downloaded from SIAM homepage on March 14, 2018.
Alana completo
Alana completo
Tarefa 4
Alana Felisardo
Cp1 :2005
Cp1 :2005
Primeiras questões respondidas do banco de Cálculo 1 da UFAL.
Antônio Marcos Barbosa
Grundrechenarten
Grundrechenarten
Aufgaben zum Thema Grundrechenarten werden mit LuaLaTeX automatisch erzeugt. LuaLaTex provides math problems for the four basic arithmetical operations automatically.
Werner Pronkow
Random Fibonacci Sequences
Random Fibonacci Sequences
This paper will be looking at the development of random Fibonacci sequences throughout history and investigating the various mathematical methods used by many mathematicians to determine important qualities about the sequence, which all lead to the growth rate.
samkoper
Using the One Dimensional Wave Equation to Represent Electromagnetic Waves in a Vacuum
Using the One Dimensional Wave Equation to Represent Electromagnetic Waves in a Vacuum
The differential wave equation can be used to describe electromagnetic waves in a vacuum. In the one dimensional case, this takes the form $\frac{\partial^2\phi}{\partial x^2}-\frac{1}{c^2}\frac{\partial^2\phi}{\partial t^2} = 0$. A general function $f(x,t) = x \pm ct$ will propagate with speed c. To represent the properties of electromagnetic waves, however, the function $\phi(x,t) = \phi _0 sin(kx-\omega t)$ must be used. This gives the Electric and Magnetic field equations to be $E (z,t) = \hat{x} E _0 sin(kz-\omega t)$ and $B (z,t) = \hat{y} B _0 sin(kz-\omega t)$. Using this solution as well as Maxwell's equations the relation $\frac{E_0}{B_0} = c$ can be derived. In addition, the average rate of energy transfer can be found to be $\bar{S} = \frac{E_0 ^2}{2 c \mu _0} \hat{z}$ using the poynting vector of the fields.
Eric Minor
On the quantum differentiation of smooth real-valued functions
On the quantum differentiation of smooth real-valued functions
Calculating the value of Ck ∈ {1, ∞} class of smoothness real-valued function's derivative in point of R+ in radius of convergence of its Taylor polynomial (or series), applying an analog of Newton's binomial theorem and q-difference operator. (P,q)-power difference introduced in section 5. Additionally, by means of Newton's interpolation formula, the discrete analog of Taylor series, interpolation using q-difference and p,q-power difference is shown.
Kolosov Petro

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