Epicycles 1.1.4

Limit Point Software ❘ Freeware ❘
iOS

Report a Problem

Dies ist kein Download-Formular!

Die UpdateStar-Programmdatenbank wird von Anwendern für Anwender gepflegt.
Mit deiner Unterstützung hilfst du allen anderen Anwendern, ihr Software-Setup auf dem neuesten Stand zu halten. Bitte fülle alle Felder aus, die nicht korrekt oder nicht aktuell sind. Wir werden deine Aktualisierung schnellstmöglich berücksichtigen.
Vielen Dank, dass du UpdateStar unterstützt!

Titel:

Kategorie:

Anforderungen:

Android

iOS

Windows

Mac

Linux

Lizenz:

Hersteller:

Hersteller URL:

Beschreibung:

<p>The Epicycles application serves as a sophisticated tool for the visualization and exploration of complex Fourier series. It enables users to interactively generate and examine epicycles derived from sampled parametric curves or predefined Fourier series components. The app offers a visual representation of complex Fourier series, illustrating how such series can approximate intricate functions through the use of epicycles. This functionality facilitates a deeper understanding of Fourier series properties, the concept of epicycles, and the visualization of complex functions in an engaging and interactive manner.</p>

<ul>
<li>Supports visualization of Fourier series corresponding to 2D functions parameterized over time, including built-in examples, user-drawn curves, and custom frequency components editable via the terms editor.</li>
<li>Custom Fourier terms can be saved by exporting them into 'epi' files within the device's file system and restored later through import functionality.</li>
<li>Cyclic animations are exportable as GIF files or static snapshots in PNG format, with selectable resolutions of 480x480, 720x720, or 1080x1080 pixels.</li>
<li>The primary interface features several interactive controls: a Graphic Menu, a Time Slider (t), a Fourier series term count slider (N), and a Current Function Menu.</li>
</ul>

<h3>Graphic Menu:</h3>

<p>Utilize the menu bar within the graphic view to toggle visibility of specific visual elements that contribute to the Fourier series visualization:</p>

<ul>
<li><em>Circle:</em> Blue circles representing the paths traced by epicycles, illustrating Euler’s formula for complex exponential terms as circles with radius r that trace (r cos(n t), r sin(n t)) — reflecting their dependence on frequency n over the period 2π.</li>
<li><em>Eye:</em> Green circle indicating the current value of the Fourier series at a specific point in time.</li>
<li><em>Lightning:</em> Red line segments depicting the radii connecting successive epicycle centers, culminating at the current Fourier series value.</li>
<li><em>Pencil:</em> Orange path tracing the actual 2D function over time.</li>
<li><em>Star:</em> Black path illustrating the Fourier series approximation of the current 2D function.</li>
</ul>

<p>The menu also includes additional options:</p>

<ul>
<li><em>Magnify:</em> Collapses ancillary views to maximize display space for detailed visualization.</li>
<li><em>Share:</em> Exports current graphics as animated GIFs or static PNG snapshots to the Photos library.</li>
<li><em>Play:</em> Animates the visualization by advancing the current time parameter periodically.</li>
<li><em>Info:</em> Provides access to online resources related to Fourier series, epicycles, and Euler’s formula for further study.</li>
</ul>

<h3>Time Slider (t):</h3>

<p>This control allows users to adjust the temporal parameter to observe the dynamic behavior of all visual elements within the interval [-π, π], thus examining how the functions evolve over their period.</p>

<h3>Number of Fourier Series Terms Slider (N):</h3>

<p>This slider modulates how many terms are included in the Fourier approximation. The partial sum encompasses frequency components from -N to N. The maximum allowable value is 100. Users are advised to utilize the wand icon to select an N that aligns with Nyquist sampling principles, ensuring reproducibility of highest frequencies based on available sample points. For built-in functions with fixed sampling, this limit is implicit. When drawing custom curves, sampling count varies and is displayed accordingly. When editing terms in the custom Fourier series editor, frequency components are restricted between -20 and 20, with sample counts sufficient for accurate reconstruction within this range. In such cases, N automatically adjusts to match the highest absolute frequency present in the terms list.</p>

<h3>Current Function Menu:</h3>

<p>This segmented control allows selection among various pre-defined 2D parametric curves. Selecting '?' prompts users to either draw a new curve in the Draw tab or edit custom Fourier terms in the Term tab. In editing mode, the app numerically computes the Fourier series by sampling the summation of selected terms, enabling detailed analysis of custom configurations.</p>

Tags:

Kurzbeschreibung:

Installierte Version unbekannt?

Aktuelle Version:

Download URL:

Direkte Download URL:

Online-Shop URL:

Icon URL:

Screenshot 1 URL:

Screenshot 2 URL:

Screenshot 3 URL:

Screenshot 4 URL:

PAD Datei URL:

Kommentar:

Ihre E-Mail:

Newsletter:

Bitte gib deine E-Mail-Adresse ein, wenn wir dich für evtl. Rückfragen kontaktieren können. Wir geben deine E-Mail-Adresse niemals an Dritte weiter.

Screenshots (Klicken, um zu vergrößern)

Verwandt

Analemma

Analemma provides a clear visual representation of the Equation of Time, a concept that can often be complex. Through the use of straightforward animations and graphics, it effectively elucidates this phenomenon, making it accessible for …

Aramaic Alap Beth Now

Aramaic Alphabet Now offers a comprehensive platform to assist individuals in mastering the art of reading and writing Aramaic across various script variations.

Bernoulli Experiment

Calculator ∞

Calculator ∞: The Ultimate Calculator App Calculator Infinity (∞) is a sleek and powerful calculator app for iPhone and iPad.

Class Calc Graphing Calculator

Test-Safe Calculator with Advanced Functions If you're tired of spending over $100 for a graphing calculator, we have a solution for you.

Crystal Flight

Glide freely through a range of crystalline landscapes. Navigation is intuitive: tilt your iPhone or iPad toward the direction you wish to travel.

Neueste Version
1.1.4

Sichere, kostenlose Downloads geprüft von UpdateStar

Bleib up-to-date
mit UpdateStar Freeware.

Neueste Reviews

	MSYS2 64bit MSYS2: Die ultimative Entwicklungsumgebung für Windows
	DOPSoft DOPSoft: Benutzerfreundliche SPS-Programmiersoftware
	Foxit Advanced PDF Editor Optimieren Sie Ihre PDF-Bearbeitung mit dem Foxit Advanced PDF Editor
	Entity Framework Designer for Visual Studio 2012 Vereinfache die Datenbankentwicklung mit Entity Framework Designer für Visual Studio 2012
	Microsoft Garage Mouse without Borders Nahtlose Multi-Geräte-Steuerung mit Maus ohne Grenzen
	ReW1 ReW1: Neudefinition des Workflow-Managements

Beliebteste Downloads

	UpdateStar Premium Edition Mit der UpdateStar Premium Edition war es noch nie so einfach, Ihre Software auf dem neuesten Stand zu halten!
	Google Chrome Schneller und vielseitiger Webbrowser
	Microsoft Edge Ein neuer Standard beim Surfen im Internet
	Microsoft Visual C++ 2015 Redistributable Package Steigern Sie Ihre Systemleistung mit Microsoft Visual C++ 2015 Redistributable Package!
	Microsoft OneDrive Optimieren Sie Ihre Dateiverwaltung mit Microsoft OneDrive
	Microsoft Visual C++ 2010 Redistributable Wesentliche Komponente zum Ausführen von Visual C++-Anwendungen