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Sequences are fundamental mathematical objects consisting of ordered lists of numbers that follow a specific rule or pattern. Sequences are critical in various mathematical concepts, including calculus, series, and number theory. They can model real-world phenomena such as population growth, financial investments, and physical processes like the diminishing height of a bouncing ball.Each number in a sequence is referred to as a term. Typically, the terms are denoted as a1, a2, a3,…, where...
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A Y-connected synchronous generator, grounded through a neutral impedance, is designed to produce balanced internal phase voltages with only positive-sequence components. The generator's sequence networks include a source voltage that is exclusively in the positive-sequence network. The sequence components of line-to-ground voltages at the generator terminals illustrate this configuration.
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In systems where values diminish by a constant proportion at each stage, the resulting sequence follows a geometric structure. Each new value in the sequence is obtained by applying a fixed multiplier to the preceding term. This regular, proportional decline type is often used to represent processes involving gradual loss, such as energy dissipation or reduction in amplitude over time.When analyzing the total effect of such a process across unlimited iterations, the series of values is referred...
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Related Experiment Video

Updated: Apr 16, 2026

Using Eye Movements Recorded in the Visual World Paradigm to Explore the Online Processing of Spoken Language
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Pulse sequence programming in a dynamic visual environment: SequenceTree.

Jeremy F Magland1, Cheng Li1, Michael C Langham1

  • 1Department of Radiology, University of Pennsylvania, Philadelphia, PA, 19104, USA.

Magnetic Resonance in Medicine
|March 11, 2015
PubMed
Summary
This summary is machine-generated.

SequenceTree is an open-source software for designing and implementing MRI pulse sequences, offering a user-friendly alternative for both programmers and nonprogrammers. This tool simplifies complex pulse programming, enabling broader access to advanced MRI applications.

Keywords:
MRI simulationgraphical user interfacepulse sequencesoftware

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Area of Science:

  • Medical Imaging
  • Software Engineering

Background:

  • Magnetic Resonance Imaging (MRI) relies on complex pulse sequences for image acquisition.
  • Current MRI pulse sequence design tools can be complex and vendor-specific, limiting accessibility.
  • There is a need for user-friendly, open-source software for MRI pulse sequence development.

Purpose of the Study:

  • To introduce SequenceTree, an open-source, integrated software environment for implementing MRI pulse sequences.
  • To provide a user-friendly alternative to proprietary vendor software for pulse sequence design and editing.
  • To facilitate the export of designed pulse sequences for use on actual MRI scanners.

Main Methods:

  • Developed using the Qt4/C++ toolkit with an integrated user interface.
  • Features automatic updates of pulse sequence diagrams as parameters are modified.
  • Includes a built-in Bloch equation solver for sequence simulation and export capabilities for Siemens MRI scanners.

Main Results:

  • SequenceTree has been utilized for 8 years, contributing to over 50 peer-reviewed publications.
  • Applications span diverse fields including cardiovascular imaging, solid-state and nonproton NMR, MR elastography, and high-resolution structural imaging.
  • The software has proven effective in both academic and clinical research settings.

Conclusions:

  • SequenceTree is an innovative, open-source visual environment for MRI pulse sequence development.
  • It effectively combines simplicity with flexibility, catering to both advanced users and those with limited programming experience.
  • The software enhances accessibility and innovation in MRI research and applications.