This document describes an algorithm for determining if two trees are isomorphic by hashing the trees. It involves recursively hashing all subtrees, sorting the hashes to ensure uniqueness, and then hashing the overall tree. The time complexity is O(NlogN) where N is the number of vertices. Pseudocode and a C++ implementation are provided. The document also discusses representing trees structurally and handling unrooted trees by trying all possible roots.
Efficiency of Hamming Matrix Method as a Test for Isomorphism: A Comparative ...ijsrd.com
Any design methodology must ensure identification of all the design alternatives and result in an optimum design. A review and comparison of Characteristic polynomial, Eigen vectors and Eigen value and Hamming number methods is presented. From the adjacency matrix Eigen values are determined for EGTs of given number of links and Degree Of Freedom (DOF). Isomorphism is checked comparing the Eigen values of EGTs. Also characteristic polynomial coefficients are used to detect isomorphism in EGTs that are generated.
This is the basic lecture on gears ( 2nd lecture, please check my 1st lecture) It includes simple gear train, compound gear train and epicyclic gear train. In the end, it includes explanation of analytical method to solve rpms of all the gears in planetery gear system
This is the basic lecture on introduction to gears for engineering students. It includes basics of gears, spur gear, bevel gear, etc. It also talks about a fundamental law of gearing, pressure angle and contact ratio.
Use C++ to Manipulate mozSettings in GeckoChih-Hsuan Kuo
If you want to manipulate mozSettings with JavaScript, you can reference to Settings API on MDN (https://developer.mozilla.org/en-US/docs/Web/API/Settings_API).
But if you want to manipulate it with C++, we can only reference to the codebase of Gecko. Now, let me show you some example.
Efficiency of Hamming Matrix Method as a Test for Isomorphism: A Comparative ...ijsrd.com
Any design methodology must ensure identification of all the design alternatives and result in an optimum design. A review and comparison of Characteristic polynomial, Eigen vectors and Eigen value and Hamming number methods is presented. From the adjacency matrix Eigen values are determined for EGTs of given number of links and Degree Of Freedom (DOF). Isomorphism is checked comparing the Eigen values of EGTs. Also characteristic polynomial coefficients are used to detect isomorphism in EGTs that are generated.
This is the basic lecture on gears ( 2nd lecture, please check my 1st lecture) It includes simple gear train, compound gear train and epicyclic gear train. In the end, it includes explanation of analytical method to solve rpms of all the gears in planetery gear system
This is the basic lecture on introduction to gears for engineering students. It includes basics of gears, spur gear, bevel gear, etc. It also talks about a fundamental law of gearing, pressure angle and contact ratio.
Use C++ to Manipulate mozSettings in GeckoChih-Hsuan Kuo
If you want to manipulate mozSettings with JavaScript, you can reference to Settings API on MDN (https://developer.mozilla.org/en-US/docs/Web/API/Settings_API).
But if you want to manipulate it with C++, we can only reference to the codebase of Gecko. Now, let me show you some example.
The Roman Empire A Historical Colossus.pdfkaushalkr1407
The Roman Empire, a vast and enduring power, stands as one of history's most remarkable civilizations, leaving an indelible imprint on the world. It emerged from the Roman Republic, transitioning into an imperial powerhouse under the leadership of Augustus Caesar in 27 BCE. This transformation marked the beginning of an era defined by unprecedented territorial expansion, architectural marvels, and profound cultural influence.
The empire's roots lie in the city of Rome, founded, according to legend, by Romulus in 753 BCE. Over centuries, Rome evolved from a small settlement to a formidable republic, characterized by a complex political system with elected officials and checks on power. However, internal strife, class conflicts, and military ambitions paved the way for the end of the Republic. Julius Caesar’s dictatorship and subsequent assassination in 44 BCE created a power vacuum, leading to a civil war. Octavian, later Augustus, emerged victorious, heralding the Roman Empire’s birth.
Under Augustus, the empire experienced the Pax Romana, a 200-year period of relative peace and stability. Augustus reformed the military, established efficient administrative systems, and initiated grand construction projects. The empire's borders expanded, encompassing territories from Britain to Egypt and from Spain to the Euphrates. Roman legions, renowned for their discipline and engineering prowess, secured and maintained these vast territories, building roads, fortifications, and cities that facilitated control and integration.
The Roman Empire’s society was hierarchical, with a rigid class system. At the top were the patricians, wealthy elites who held significant political power. Below them were the plebeians, free citizens with limited political influence, and the vast numbers of slaves who formed the backbone of the economy. The family unit was central, governed by the paterfamilias, the male head who held absolute authority.
Culturally, the Romans were eclectic, absorbing and adapting elements from the civilizations they encountered, particularly the Greeks. Roman art, literature, and philosophy reflected this synthesis, creating a rich cultural tapestry. Latin, the Roman language, became the lingua franca of the Western world, influencing numerous modern languages.
Roman architecture and engineering achievements were monumental. They perfected the arch, vault, and dome, constructing enduring structures like the Colosseum, Pantheon, and aqueducts. These engineering marvels not only showcased Roman ingenuity but also served practical purposes, from public entertainment to water supply.
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...Levi Shapiro
Letter from the Congress of the United States regarding Anti-Semitism sent June 3rd to MIT President Sally Kornbluth, MIT Corp Chair, Mark Gorenberg
Dear Dr. Kornbluth and Mr. Gorenberg,
The US House of Representatives is deeply concerned by ongoing and pervasive acts of antisemitic
harassment and intimidation at the Massachusetts Institute of Technology (MIT). Failing to act decisively to ensure a safe learning environment for all students would be a grave dereliction of your responsibilities as President of MIT and Chair of the MIT Corporation.
This Congress will not stand idly by and allow an environment hostile to Jewish students to persist. The House believes that your institution is in violation of Title VI of the Civil Rights Act, and the inability or
unwillingness to rectify this violation through action requires accountability.
Postsecondary education is a unique opportunity for students to learn and have their ideas and beliefs challenged. However, universities receiving hundreds of millions of federal funds annually have denied
students that opportunity and have been hijacked to become venues for the promotion of terrorism, antisemitic harassment and intimidation, unlawful encampments, and in some cases, assaults and riots.
The House of Representatives will not countenance the use of federal funds to indoctrinate students into hateful, antisemitic, anti-American supporters of terrorism. Investigations into campus antisemitism by the Committee on Education and the Workforce and the Committee on Ways and Means have been expanded into a Congress-wide probe across all relevant jurisdictions to address this national crisis. The undersigned Committees will conduct oversight into the use of federal funds at MIT and its learning environment under authorities granted to each Committee.
• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
• The Committee on Oversight and Accountability is investigating the sources of funding and other support flowing to groups espousing pro-Hamas propaganda and engaged in antisemitic harassment and intimidation of students. The Committee on Oversight and Accountability is the principal oversight committee of the US House of Representatives and has broad authority to investigate “any matter” at “any time” under House Rule X.
• The Committee on Ways and Means has been investigating several universities since November 15, 2023, when the Committee held a hearing entitled From Ivory Towers to Dark Corners: Investigating the Nexus Between Antisemitism, Tax-Exempt Universities, and Terror Financing. The Committee followed the hearing with letters to those institutions on January 10, 202
Introduction to AI for Nonprofits with Tapp NetworkTechSoup
Dive into the world of AI! Experts Jon Hill and Tareq Monaur will guide you through AI's role in enhancing nonprofit websites and basic marketing strategies, making it easy to understand and apply.
How to Make a Field invisible in Odoo 17Celine George
It is possible to hide or invisible some fields in odoo. Commonly using “invisible” attribute in the field definition to invisible the fields. This slide will show how to make a field invisible in odoo 17.
Unit 8 - Information and Communication Technology (Paper I).pdfThiyagu K
This slides describes the basic concepts of ICT, basics of Email, Emerging Technology and Digital Initiatives in Education. This presentations aligns with the UGC Paper I syllabus.
Read| The latest issue of The Challenger is here! We are thrilled to announce that our school paper has qualified for the NATIONAL SCHOOLS PRESS CONFERENCE (NSPC) 2024. Thank you for your unwavering support and trust. Dive into the stories that made us stand out!
Acetabularia Information For Class 9 .docxvaibhavrinwa19
Acetabularia acetabulum is a single-celled green alga that in its vegetative state is morphologically differentiated into a basal rhizoid and an axially elongated stalk, which bears whorls of branching hairs. The single diploid nucleus resides in the rhizoid.
24. Source Code
int hash( TREE &now, int root ) {
int value = INIT;
vector< int > sub;
//get all hash value of subtree
for ( int i = 0; i < now[ root ].size(); ++i )
sub.push_back( hash( now, now[ root ]
[ i ] ) );
//sort them to keep unique order
sort( sub.begin(), sub.end() );
//hash this this tree
for ( int i = 0; i < sub.size(); ++i )
value = ( ( value * P1 ) ^ sub[ i ] ) % P2;
return value % P2;
}
30. Algorithm
SORT_CHILD(T):
1. sort all sub-trees
2. compare the height
3. if height is equal, compare child
recursively
4. put the lower at left and the higher at
right