



Consider waves on a network, such as vibrations in a molecular structure how do the connectivity and properties of the network affect the nodal patterns?
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what are nodes in waves
- Where are the nodes in the standing waves produced by a guitar string?
- Are nodes always points of perfect stillness? What about the superposition of multiple waves that individually have nodes at the same location?
- Can nodes exist in non-physical or abstract types of waves (e.g., mathematical waves)? What are the "zeros" of a mathematical function that represents a wave?
- What is the phase difference between points on either side of a node? How do nodes relate to standing waves?
- How are nodes used in the design of antennas?
- What is the relationship between the impedance of a medium and the formation of nodes at boundaries?
- What are the zeros of the wave function mathematically? How are nodes represented graphically?
- How are nodes used in structural analysis? Can the location of nodes in a vibrating structure indicate weaknesses?
- Consider wave propagation in metamaterials can these artificially structured materials exhibit unusual nodal properties? How can metamaterials be designed to control the position and behavior of nodes in electromagnetic or acoustic waves?
- Consider the spread of an epidemic as a wave are there regions of low infection that could be considered analogous to nodes?
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