Knowledge in 11th Class mathematics

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.

Topic 11th & 12th & neet & bsc & phd & msc (protein synthesis )

Protein biosynthesis is a core biological process, occurring inside cells, balancing the loss of cellular proteins through the production of new proteins. Proteins perform a variety of critical functions as enzymes, structural proteins or hormones and therefore, are crucial biological componentsProtein synthesis is the process in which cells make proteins. It occurs in two stages: transcription and translation. Transcription is the transfer of genetic instructions in DNA to mRNA in the nucleus. It includes three steps: initiation, elongation, and termination.In the synthesis of protein, three types of RNA are required. The first is called ribosomal RNA (rRNA) and is used to manufacture ribosomes. Ribosomes are ultramicroscopic particles of rRNA and protein where amino acids are linked to one another during the synthesis of proteins.STEP 1: The first step in protein synthesis is the transcription of mRNA from a DNA gene in the nucleus. At some other prior time, the various other types of RNA have been synthesized using the appropriate DNA. The RNAs migrate from the nucleus into the cytoplasm.Once in the cytoplasm, the mRNA is snatched up by tiny protein-assembly machines called ribosomes. Each ribosome works its way along the mRNA, reading the code from 'start' to 'stop', selecting the correct amino acid building blocks and ejecting a growing protein.

Bsc , zbc , zoology , molecular cloning , restriction enzyme , dna ligase

Key points for bsc (Molecular cloning is a set of experimental methods in molecular biology that are used to assemble recombinant DNA molecules and to direct their replication within host organisms).restriction enzyme (A restriction enzyme is a protein that recognizes a specific, short nucleotide sequence and cuts the DNA only at that specific site, which is known as restriction site or target sequence. More than 400 restriction enzymes have been isolated from the bacteria that manufacture them.) DNA ligase is a specific type of enzyme, a ligase, that facilitates the joining of DNA strands together by catalyzing the formation of a phosphodiester bond. It plays a role in repairing single-strand breaks in duplex DNA in living organisms, but some forms may specifically repair double-strand breaks.

10th , 11th ,12th biology ,bsc , neet , msc -Paper- Pteridophytes

A pteridophyte is a vascular plant (with xylem and phloem) that disperses spores. Because pteridophytes produce neither flowers nor seeds, they are sometimes referred to as "cryptogams", meaning that their means of reproduction is hidden. Ferns, horsetails (often treated as ferns), and lycophytes (clubmosses, spikemosses, and quillworts) are all pteridophytes. However, they do not form a monophyletic group because ferns (and horsetails) are more closely related to seed plants than to lycophytes. "Pteridophyta" is thus no longer a widely accepted taxon, but the term pteridophyte remains in common parlance, as do pteridology and pteridologist as a science and its practitioner, respectively. Ferns and lycophytes share a life cycle and are often collectively treated or studied, for example by the International Association of Pteridologists and the Pteridophyte Phylogeny Group.Pteridophytes are the first true land plants: ... They are seedless, vascular cryptogams: ... They show true alternation of generations: ... Sporophyte has true roots, stem and leaves: ... Spores developed in sporangia are homosporous or heterosporous: ... Sporangia are produced in groups on sporophylls:

10th , 11th ,12th biology ,bsc , neet , msc -Paper- Pteridophytes

A pteridophyte is a vascular plant (with xylem and phloem) that disperses spores. Because pteridophytes produce neither flowers nor seeds, they are sometimes referred to as "cryptogams", meaning that their means of reproduction is hidden. Ferns, horsetails (often treated as ferns), and lycophytes (clubmosses, spikemosses, and quillworts) are all pteridophytes. However, they do not form a monophyletic group because ferns (and horsetails) are more closely related to seed plants than to lycophytes. "Pteridophyta" is thus no longer a widely accepted taxon, but the term pteridophyte remains in common parlance, as do pteridology and pteridologist as a science and its practitioner, respectively. Ferns and lycophytes share a life cycle and are often collectively treated or studied, for example by the International Association of Pteridologists and the Pteridophyte Phylogeny Group.Pteridophytes are the first true land plants: ... They are seedless, vascular cryptogams: ... They show true alternation of generations: ... Sporophyte has true roots, stem and leaves: ... Spores developed in sporangia are homosporous or heterosporous: ... Sporangia are produced in groups on sporophylls:

Science - work, power and energy

These notes are of class 11th - physics - science subject and cover topic of work power and energy

effect on buoyancy force - 11th physics

These notes are about effect of buoyancy force : - expansion and apparent expansion - expansion of water