X

MI meaning in Academic & Science ?

( 5 )  .  1 Rating
410 views   .  0 comments  .   . 

Download Solution PDF

Answer: What is Mathematical Induction mean?

Mathematical induction is a mathematical proof technique. It is essentially used to prove that a statement P(n) holds for every natural number n = 0, 1, 2, 3, . . . ; that is, the overall statement is a sequence of infinitely many cases P(0), P(1), P(2), P(3), . . . . Informal metaphors help to explain this technique, such as falling dominoes or climbing a ladder:

Mathematical induction proves that we can climb as high as we like on a ladder, by proving that we can climb onto the bottom rung (the basis) and that from each rung we can climb up to the next one (the step).

A proof by induction consists of two cases. The first, the base case (or basis), proves the statement for n = 0 without assuming any knowledge of other cases. The second case, the induction step, proves that if the statement holds for any given case n = k, then it must also hold for the next case n = k + 1. These two steps establish that the statement holds for every natural number n. The base case does not necessarily begin with n = 0, but often with n = 1, and possibly with any fixed natural number n = N, establishing the truth of the statement for all natural numbers n ≥ N.

The method can be extended to prove statements about more general well-founded structures, such as trees; this generalization, known as structural induction, is used in mathematical logic and computer science. Mathematical induction in this extended sense is closely related to recursion. Mathematical induction is an inference rule used in formal proofs, and is the foundation of most correctness proofs for computer programs.

Although its name may suggest otherwise, mathematical induction should not be confused with inductive reasoning as used in philosophy (see Problem of induction). The mathematical method examines infinitely many cases to prove a general statement, but does so by a finite chain of deductive reasoning involving the variable n, which can take infinitely many values.

reference
Full Form Category
Missing Ice Academic & Science
Multiple Intelligences Academic & Science
Manager Institut Academic & Science
Move In Academic & Science
Maximum Influence Academic & Science
Musicians Institute Academic & Science
McAuley Institute Academic & Science
1001 (Roman numeral) Academic & Science
Mathematical Induction Academic & Science
Melt Flow Index (Melt Index) Academic & Science
Master Index Academic & Science
Methylisothiazolinone Academic & Science
Millennia Institute Academic & Science
Malleable Iron Academic & Science
Marching Illini Arts
Micronutrient Initiative Associations & Organizations
Marshall & Ilsley Corporation Business
Model Independent Business
Minority Interest Business
Merchandise Inventory Business
Members Interests Business
Monza Indianapolis Business
Murderball, Inc. Business
Manga International Business
Missing Intern Business
Material Input Business
Mature Industry Business
Medicare and insurance Business
Xiaomi Business
Medical Insurance Business
Mortgage Insurance Business
Marshall & Ilsley Business
Mackay Icosahedron Chemistry
Measurement Incorporated Community
Mentally Impaired Community
Mission Impossible Community
Michigan Indoors Community
Moving Image Community
Music Industry Community
MOPS International Community
Membership Involvement Community
Miscellaneous Work Item (ETSI) Computer and Networking
Mode Indicator Computer and Networking
Micro Instruction Computer Assembly Language
Machine Interface Computer Assembly Language
Maskable Interrupt Computer Assembly Language
Memory Information Computer Hardware
Mechanical Interlock Computer Hardware
Message Invader Computing
Multiple Inheritance Computing
Medical Informatics Computing
mebi Computing
Monkey Island Computing
Macmet, India Country Specific
Milano, Italy Country Specific
Mustang Island Country Specific
Midway Island Country Specific
Mutual Information Database Management
Mineral Insulated Electronics
Measurement Interval Electronics
Miscellaneous File Type
Mechanical Index General
Monumental Inscription General
Maison Ikkoku General
Maximum Impact General
Multiple Imputation General
Maximum Index General
Millennia Instituite General
Methodical Images General
Modified Inertia General
Monkey Islandand General
Made In General
Most Improved General
Mood Indigo General
Muscle Intelligence General
Market Imitating General
MIttwoch General
Matched Items General
Mitab is General
math In General
Mild Impairment General
Malice Intended General
MacDonald Inspection General
Market Initiative General
Minor Irrigation General
MI is General
Minimal Intervention General
Molecular Interactions General
Mean In General
Midwest Industries General
Major Issue General
Motivational Interviewing General
Modification Index General
Menu Item General
Midnight Insanity General
Mental Idiot General
Management Instruction General
Main Idea General
Markside Inside General
Material Identifier General
Marginal Inscription General
Missing Information Governmental
Millipore Governmental
Ministry of Intelligence Governmental
Member Institutions Governmental
Minority Institutions Governmental
Marketing Institute Governmental
Mentally Insane Governmental
Masked Intruder Governmental
Malicious Intent Governmental
Ministerio del Interior International
Michigan International International
Milan, Italy International
Milano (Provence) International
Militia Immaculatae International
Mobile Internet Internet
Mumbai Indians IPL Team
Master Iridologist Jobs
Multiple Inverse Maths
Miles Measurement Unit
Mebi- (2^20) Measurement Unit
Million Measurement Unit
Mitral Insufficiency Medical
Mental illness Medical
Myocardial infarction Medical
Myocardial Infarction; Also Mitral Insufficiency Or Mental Institution Medical
Medical Innovation Medical
Middle Initial Military and Defence
Military Intelligence Military and Defence
Mustered In Military and Defence
Military Industry Military and Defence
Mounted Infantry Military and Defence
Mobile Infantry Military and Defence
Market Investigation Military and Defence
Movement Instructions Military and Defence
Master Item Military and Defence
Multi Interface Networking
Monsters, Inc. News & Entertainment
Missouri-Illinois Railroad (Union Pacific Railroad) Regional
Maori Regional
Mr. Incredible (Jude Abaga) Society & Culture
Sammi Cheng Society & Culture
Menu Image Softwares
Machine Independent Softwares
Mainframe Interface Softwares
Manual Input Softwares
Multimedia Integrated Softwares
Management Information Space Science
Mile Space Science
Market Intelligence Stock Exchange
Michalovce Transport & Travel
Province of Milan Transport & Travel
Minden-Lübbecke Transport & Travel
SilkAir Transport & Travel
Phthiotis Transport & Travel

Take Quiz To Earn Credits!

Turn Your Knowledge into Earnings.




Give Rating
Report
Write Your Comments or Explanations to Help Others
Comments(0)





Miscellaneous in Academic & Science
Miscellaneous in Academic & Science

Ever curious about what that abbreviation stands for? fullforms has got them all listed out for you to explore. Simply,Choose a subject/topic and get started on a self-paced learning journey in a world of fullforms.

Explore Other Libraries

X

Important Academic & Science Links





Copyright (c) 2021 TuteeHUB

OPEN APP
Channel Join Group Join