Matrix Multiplication
AB exists when columns of A equal rows of B: (m x n)(n x p) = (m x p). The (i,j) entry of AB is row i of A dotted with column j of B. AB is usually not BA even…
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AB exists when columns of A equal rows of B: (m x n)(n x p) = (m x p). The (i,j) entry of AB is row i of A dotted with column j of B. AB is usually not BA even…
No CO2 with Na2CO3. pH near 7 in water. Litmus little change. Carboxylic acids later do fizz. Acidity primary > secondary > tertiary in gas phase; school…
The main idea is that the products of electrolysis are determined by the relative ease of oxidation or reduction of the available ions. The three key…
Integral u dv=uv-integral v du; choose u so differentiation simplifies it.
Alcohols: C-OH. Primary: the C-OH has two H (or methanol). Secondary: one H. Tertiary: no H on that C. Phenol is a different family (OH on benzene) if the book…
For a diffraction grating, principal maxima occur when the path difference between waves from adjacent slits is an integer number of wavelengths.
Two sides and included angle, or three sides. Finding an angle: cos C = a2+b2-c22ab. Do not use cosine law when you only have AAS and no SAS/SSS.
Gradient m = rise/run = tan theta. Rise is the change in y; run is the change in x. From two points use m = y2-y1x2-x1. If the run is 0, you must not…
Usability in HCI refers to the extent to which a system can be used by specific users to achieve specified goals with effectiveness, efficiency, and…
The International System of Units, abbreviated as SI, is an internationally accepted and coherent system of measurement based on seven base units.
Proton number refers to the number of protons in the nucleus of an atom. It is also known as the atomic number and is indicated by the symbol…
A polycrystalline solid is made of many small crystals or grains with different orientations. The textbook also discusses polymers here: large chain molecules…
Clear fractions with a positive LCM. If the inequality reduces to a statement with no x that is always true, the solution is all real numbers. If it is always…
Radioactivity is the spontaneous transformation of unstable atomic nuclei accompanied by emission of nuclear radiation.
A prototype is a preliminary version or working model of a product. It is used to test and validate ideas, gather feedback, and refine the design before…
Effectors: Effectors are the organs or structures that produce a response when stimulated by the nervous system. The two examples of effectors are muscles…
Principle of Moments states that for an object in equilibrium, the sum of the clockwise moments taken about a pivot must be equal to the sum of the…
Total current entering equals total current leaving.
A ferrofluid is a stable colloidal suspension of magnetic nanoparticles in a carrier liquid.
Resistance depends on material resistivity and temperature.
Memory Terminology: Memory terminology refers to the standard terms and units used to measure and describe computer memory, such as bit, byte, kilobyte,…
A truth table represents a Boolean function or digital logic circuit in table form. It shows how a logic circuit's output or Boolean expression responds to all…
An interferometer is a precision instrument that splits light into separate paths and then recombines the beams to form an interference pattern. A small change…
Equilibrium is achieved when pure reactants, pure products, or a mixture of reactants and products are first placed in a closed container. In each such…