Gravitational Waves
Gravitational waves are ripples in spacetime produced by accelerating masses. They alternately stretch and compress distances as they travel. Everyday objects…
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Gravitational waves are ripples in spacetime produced by accelerating masses. They alternately stretch and compress distances as they travel. Everyday objects…
A radical equation has the unknown under a root. Isolate the root, then square both sides, then check in the original because squaring can add extra roots.…
Molecular Orbital Theory (MOT): A theory proposed by Hund and Mullikan in 1932. According to this theory, linear combination of atomic orbitals forms new…
The three altitudes meet at the orthocentre. In an acute triangle the orthocentre lies inside. In a right triangle it sits at the right-angle vertex (the two…
A terminating decimal stops after finitely many digits, such as 78 = 0.875. A recurring decimal goes on forever with a repeating block, such as 13 = 0.333...…
The air passageway is the series of organs and tubes through which air travels from the external environment to the lungs. It consists of: 1. Nose 2.…
Plot z = x + i y as the point (x, y). The modulus r = |z| is the distance from the origin. The argument theta is the angle from the positive real axis to the…
Memory Built-up: All types of computer memory, as far as their built-up (construction) or manufacturing is concerned, are divided into Chip memory,…
r uses sums of products of deviations over a product of sqrt(sum of squares). You need not compute a long r in every paper, but you must read r=-0.88 as strong…
Catalytic converters are devices installed in the exhaust system of cars. They contain catalysts that facilitate chemical reactions that convert…
Logical Reasoning is the process of using a structured, step-by-step approach to analyze information, identify patterns, and draw conclusions based on…
The wizard creates groups and layout quickly; Layout and Design views refine controls and sections.
The parathyroid glands are two pairs of very small structures located on the thyroid glands. They secrete the hormone called parathormone.
Taxonomy of Prokaryotes: The taxonomy of prokaryotes is the science of classifying and naming prokaryotic organisms based on their evolutionary…
Distil liquids (aldehyde catch). Recrystallise solids. Dry with named agent. These are words on an exam, not instructions for making a drug batch.…
Chromatography checks dye purity and separates plant pigments. Colourless spots need visualisation (a stain or UV lamp) or you will miss them. Overlapping…
Mode is the value with the largest frequency. A list can have one mode, two modes (bimodal), or no clear mode if every value appears once. In a grouped table…
Integral e^x dx=e^x+C and integral a^x dx=a^x/ln(a)+C for valid a.
A matrix is a rectangle of numbers (real or complex in this book) in rows and columns. Size m x n means m rows, n columns. Equal matrices: same size and every…
A square matrix is invertible if there is B with AB=BA=I. Then B = A-1. For 2x2, A-1 = (1/det A) [[d,-b],[-c,a]] if det != 0. For 3x3, use Gauss-Jordan:…
Analgesics: Analgesics are also called painkillers. These medicines reduce or numb pain in the body through various mechanisms that affect the nervous…
If job A can be done in m ways and job B in n ways, then A then B can be done in m*n ways (independent choices). A tree diagram shows the branches. Three jobs:…
Rectification converts AC to a unidirectional signal. A single diode gives half-wave rectification — a pulsating output that may need smoothing for steady DC.
Projectile motion is the two-dimensional motion of an object moving through the air under the influence of gravitational force alone. Horizontal and vertical…