Cloudbird Digital Maths Subject Matter Expert Interview Questions and Answers

Moderate level subject questions

Q1. Salary expectations
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Q2. Number of days in which can join
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Q1. Tell me the Laplace equation
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The Laplace equation is a second-order partial differential equation that describes the behavior of harmonic functions.
• The Laplace equation is written as ∇^2f = 0, where ∇^2 is the Laplacian operator.

• It is used in physics to describe the behavior of electric and gravitational fields.

• Solutions to the Laplace equation are called harmonic functions.

• Examples of harmonic functions include the electric potential in a region ...read more
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Q2. Give difference between stokes theorem and divergence theorem
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Stokes theorem relates a surface integral over a closed surface to a line integral around its boundary, while divergence theorem relates a volume integral of a vector field to a surface integral of its divergence.
• Stokes theorem deals with the circulation of a vector field around a closed curve in space, while divergence theorem deals with the flow of a vector field through a closed surface in space.

• Stokes theorem is a ...read more
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Q1. Explain Laplace transform formula
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Laplace transform formula is a mathematical tool used to transform a function of time into a function of complex frequency.
• The Laplace transform of a function f(t) is defined as F(s) = L{f(t)} = ∫[0,∞] e^(-st) * f(t) dt

• It is commonly used in engineering and physics to solve differential equations

• Example: Laplace transform of f(t) = 1 is F(s) = 1/s
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Q2. Explain divergence theorem Formula of surface in space created by rotating a curve
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Divergence theorem relates a triple integral over a region to a surface integral over the boundary of the region.
• Divergence theorem, also known as Gauss's theorem, states that the flux of a vector field through a closed surface is equal to the volume integral of the divergence of the field over the region enclosed by the surface.

• It is a fundamental theorem in vector calculus and has applications in physics, engineering...read more
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Q1. What is a simple supported Beam?
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A simple supported beam is a beam that is supported at both ends and is free to rotate and undergo vertical movement.
• Supported at both ends

• Free to rotate

• Free to undergo vertical movement
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Q2. Difference between consolidation and compaction of soils?
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Consolidation is the gradual settlement of soil due to expulsion of water, while compaction is the process of increasing soil density by reducing air voids.
• Consolidation is a time-dependent process, while compaction is typically achieved in a short period of time.

• Consolidation occurs due to the expulsion of water from soil voids under load, while compaction involves applying external force to reduce air voids.

• Consolida...read more
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Q3. What is point of contraflaxure ?
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Point of contraflexure is the point in a beam where the bending moment changes sign.
• Point of contraflexure is where the bending moment is zero.

• It is the point where the bending moment changes from positive to negative or vice versa.

• It is typically located between two points of maximum bending moment.

• In a simply supported beam with a uniformly distributed load, the point of contraflexure is at the center of the beam.
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Q4. Define determinate and non determinate structures
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Determinate structures have fixed dimensions and can be analyzed using equations, while non-determinate structures have redundant members and require additional analysis methods.
• Determinate structures have a fixed number of unknown forces that can be solved using equilibrium equations.

• Non-determinate structures have more unknown forces than equilibrium equations, requiring additional analysis methods like virtual work ...read more
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Q5. What do you understand by the role subject matter expert?
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Subject Matter Expert is an individual with deep knowledge and expertise in a specific technical area.
• Subject Matter Experts have in-depth knowledge and expertise in a specific technical area.

• They are often consulted for their expertise and guidance on complex technical issues.

• Subject Matter Experts stay updated with the latest trends and developments in their field.

• They may be responsible for training and mentoring ot...read more
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Q1. What is the Laplace formula?
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The Laplace formula is a mathematical equation used to calculate the Laplace transform of a function.
• The Laplace formula is used in mathematics to transform a function of time into a function of complex frequency.

• It is commonly used in control theory, signal processing, and other areas of engineering.

• The formula is expressed as L{f(t)} = F(s) = ∫[0,∞] e^(-st) f(t) dt, where L{f(t)} represents the Laplace transform of f
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Q2. Difference between stokes theorem and gauss theorem
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Stokes theorem relates a surface integral of a vector field to a line integral of the field's curl. Gauss theorem relates a volume integral of a vector field to a surface integral of the field's divergence.
• Stokes theorem is used to relate a surface integral of a vector field to a line integral of the field's curl

• Gauss theorem is used to relate a volume integral of a vector field to a surface integral of the field's div...read more
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