The Marketing Mix (4P framework)

The Finite Element Method (FEM) is a powerful numerical technique for solving complex engineering and physics problems described by partial differential equations. It works by discretizing a continuous domain into a set of smaller, simpler subdomains called 'finite elements'. This allows for the approximate numerical solution of problems in structural analysis, heat transfer, fluid flow, and electromagnetism.

Plasticity is the theory describing the deformation of a solid material undergoing non-reversible changes of shape in response to applied forces. Unlike elasticity, where deformation is recovered upon unloading, plastic deformation is permanent. The theory involves a yield criterion to define the onset of plasticity, a flow rule to describe the evolution of plastic strain, and a hardening rule.

The fundamental building block of modern digital electronics is the transistor, specifically the MOSFET (Metal-Oxide-Semiconductor Field-Effect Transistor). It operates as an electronically controlled switch. By applying a voltage to its gate terminal, the flow of current between its source and drain terminals can be turned on (representing a '1') or off (representing a '0'), enabling the implementation of logic gates.

A foundational model in marketing, the 4Ps framework classifies the key elements a business uses to promote its brand or product. It consists of Product (the item or service), Price (the cost to the consumer), Place (where it's sold), and Promotion (the advertising and sales activities). These four variables are controlled by the company to influence consumer demand.

Molecular electronics explores using individual molecules or nanoscale molecular collections as fundamental electronic components. This approach aims to build circuits at the ultimate limit of miniaturization, far beyond traditional silicon-based technology. Key components include molecular wires, switches, and rectifiers, leveraging quantum mechanical properties like electron tunneling through molecular orbitals for their function.

Concurrent engineering, also known as simultaneous engineering, is a design philosophy that emphasizes the parallelization of tasks. Instead of a sequential process where design is completed before manufacturing is considered, it involves a team-based approach where designers, manufacturing engineers, and other stakeholders work together from the outset. This overlap significantly reduces product development time and improves design quality.

Biomimicry is an innovation approach that seeks sustainable solutions to human challenges by emulating nature's time-tested patterns and strategies. The core idea is that nature, through 3.8 billion years of evolution, has already solved many of the problems we are grappling with. It involves observing and learning from the designs and processes of organisms and ecosystems to create more sustainable designs.

A non-Newtonian fluid is one whose viscosity changes under an applied shear stress. Unlike a Newtonian fluid where viscosity is constant, its flow properties are not described by a linear relationship between shear stress (\(\tau\)) and shear rate (\(\dot{gamma}\)). This dependency can manifest as shear-thinning (viscosity decreases with stress) or shear-thickening (viscosity increases with stress).

The Weissenberg effect is a phenomenon in viscoelastic fluids where the fluid climbs up a rotating rod inserted into it. This is contrary to the behavior of Newtonian fluids, which are pushed outwards by centrifugal force, forming a vortex. The effect is caused by normal stress differences that develop in the fluid under shear.

The marketing concept is a business philosophy holding that achieving organizational goals depends on knowing the needs and wants of target markets and delivering the desired satisfactions more effectively and efficiently than competitors. It represents a shift from a product-centric ("make and sell") approach to a customer-centric ("sense and respond") one, placing the customer at the core of all business decisions.

The Deborah number is a dimensionless quantity in rheology, used to characterize the fluidity of materials. It is the ratio of the relaxation time, which is an intrinsic property of the material, to the characteristic time scale of the experiment or observation. The formula is \(De = \frac{t_c}{t_p}\), where \(t_c\) is the relaxation time and \(t_p\) is the observation time.

CMOS (Complementary Metal-Oxide-Semiconductor) is the dominant technology for constructing integrated circuits. It uses complementary pairs of p-type and n-type MOSFETs to build logic gates. Its primary advantage is very low static power consumption, as one transistor in the pair is always off during steady state, resulting in minimal current flow except during switching transitions.

The Finite Volume Method (FVM) is a dominant numerical technique in CFD for solving partial differential equations. It discretizes the domain into a mesh of control volumes and applies the governing equations in their integral form to each volume. By converting volume integrals to surface integrals using the divergence theorem, it focuses on calculating the flux of conserved properties across cell faces.

Viral marketing describes any marketing strategy that encourages individuals to pass on a marketing message to others, creating the potential for exponential growth in the message's exposure and influence. Like viruses, such strategies take advantage of rapid multiplication to explode the message from person to person. It is a form of amplified word-of-mouth, often facilitated by the internet.

The Direct-to-Consumer (DTC) model is a business strategy where a company manufactures and ships its products directly to buyers, bypassing traditional intermediaries like wholesalers or retailers. This approach primarily leverages e-commerce platforms and digital marketing to establish a direct relationship with the end consumer, enabling greater control over branding, customer experience, and pricing structures.