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Rishi Soni's Stashed Knowledge
Principle of Mathematical Induction (Notes)
Mathematical induction is a mathematical proof technique used to prove a given statement about any well-ordered set. Most commonly, it is used to establish statements for the set of all natural numbers. Mathematical induction is a form of direct proof, usually done in two steps.
Rishi Soni
Trigonometric Functions NCERT Notes
A function of an angle expressed as the ratio of two of the sides of a right triangle that contains that angle; the sine, cosine, tangent, cotangent, secant, or cosecant. Also called circular function.
Relations and Functions in 12th Class Mathematics
A "relation" is just a relationship between sets of information. Think of all the people in one of your classes, and think of their heights. The pairing of names and heights is a relation. In relations and functions, the pairs of names and heights are "ordered", which means one comes first and the other comes second.
Sets in 11th Mathematics
A set is a group or collection of objects or numbers, considered as an entity unto itself. ... Examples include the set of all computers in the world, the set of all apples on a tree, and the set of all irrational numbers between 0 and 1.
Organisms and Populations (Biology)
A population is the number of organisms of the same species that live in a particular geographic area at the same time, with the capability of interbreeding. ... However, populations contain genetic variation within themselves, and not all individuals are equally able to survive and reproduce.
Biotechnology and it's Applications (Notes)
The use of biology to develop technologies and products for the welfare of human beings is known as Biotechnology. It has various applications in different fields such as Therapeutics, Diagnostics, Processed Food, Waste Management, Energy Production, Genetically Modified Crops etc.
Inverse Trigonometric Functions (Theory Notes)
The inverse trigonometric functions perform the opposite operations that the sine, cosine, tangent, secant, cosecant, and cotangent perform. They are used to find the measure of an angle in a right triangle when two of the three side lengths are known.
Coordination Compounds [NCERT Notes]
Coordination compound. Coordination compound, any of a class of substances with chemical structures in which a central metal atom is surrounded by nonmetal atoms or groups of atoms, called ligands, joined to it by chemical bonds.
The D and F Block Elements
The d-block elements are called transition metals and have valence electrons in d orbital's. The f-block elements,found in the two rows at the bottom of the periodic table, are called inner transition metals and have valence electrons in the f-orbital's.
P-Block Elements {NCERT NOTES}
The p-block elements are found on the right side of the periodic table. They include the boron, carbon, nitrogen, oxygen and flourine families in addition to the noble gases. The noble gases have full p-orbital's and are nonreactive. p block orbital.
General Principles and Processes of Isolation of Elements
A few elements like carbon, sulphur, gold and noble gases, occur in free state while others in combined forms in the earth's crust. The extraction and isolation of an element from its combined form involves various principles of chemistry. A particular element may occur in a variety of compounds.
Surface Chemistry (NCERT Notes)
Surface chemistry is important in many critical chemical processes, such as enzymatic reactions at biological interfaces found in cell walls and membranes, in electronics at the surfaces and interfaces of microchips used in computers, and the heterogeneous catalysts found in the catalytic converter used for cleaning ...