In addition, if Bob were careless and allowed someone else to copy his key, Alice's messages to Bob would be compromised, but Alice's messages to other people would remain secret, since the other people would be providing different padlocks for Alice to use.

In addition to providing the illustrations for her own Moomin books, Jansson also illustrated Swedish translations of classics such as J. R. R. Tolkien's The Hobbit and Lewis Carroll's The Hunting of the Snark and Alice's Adventures in Wonderland ( some used later in Finnish translations as well ).

In addition, the government would pay a $1,000 `` cost of education '' grant to the schools for each $1,500 in scholarship grants.

In addition, higher education may be pursued at The University College and The Law School.

" In addition, the United States House Committee on Foreign Affairs states as some of its jurisdictional goals: " export controls, including nonproliferation of nuclear technology and nuclear hardware ; measures to foster commercial intercourse with foreign nations and to safeguard American business abroad ; international commodity agreements ; international education ; and protection of American citizens abroad and expatriation.

In addition to the academic requirements for graduation, Dartmouth requires every undergraduate to complete a swim and three terms of physical education.

Another viable addition to digital education has been blended learning.

Traces of this can be found in the organized learning centered around teacher and textbooks, in addition to the regular assignments and evaluations typical in essentialist education.

In addition, feminism seeks to establish equal opportunities for women in education and employment.

In addition, professional-level education is always included within Higher Education, and usually in graduate schools, since many postgraduate academic disciplines are both vocationally, professionally, and theoretically / research oriented, such as in the law, medicine, pharmacy, dentistry, and veterinary medicine.

In addition to focusing on knowledge, skills and computer literacy, the centres also carried out life enrichment education, which includes basic workers ’ rights and the dangers of HIV / AIDS.

The level of formal education required varies from country to country, from a simple training certificate awarded by an employer, to a full Diploma from an Engineering College ( such as in Australia ) in addition to time spent working as an apprentice.

In addition to weekly worship services, Mormons began participating in numerous programs such as Boy Scouting, a Young Women's organization, church-sponsored dances, ward basketball, camping trips, plays, and religious education programs for youth and college students.

In addition nearby Lund University ( established in 1666 ) has some education located in Malmö:

In addition to his academic education, he learned to switch-hit from Cal Poly coach Berdy Harr.

In addition, Paris Junior College provides post-secondary education, and hosts the Texas Institute of Jewelry Technology, a well-respected school of gemology, horology, and jewelry, and the Industrial Technology Division which offers programs in Air Conditioning Technology, Refrigeration Technology, Agricultural Technology, Drafting and Computer-aided Design, Electronics, Electromechanical Technology, and Welding Technology.

In addition to clinical practice, other activities encompassed in the physical therapy profession include research, education, consultation and administration.

By the end of the 18th century, in addition to the trivium and quadrivium of the Middle Ages, the definition of a classical education embraced study of literature, poetry, drama, philosophy, history, art, and languages.

In addition to university education, many companies sponsor internships for students wishing to pursue careers in information technology.

In addition, the U. S. supports small enterprise development, education, military training, institutional and human resources development, agricultural development, and trade capacity building.

In addition to these core schools, students in a given country may also attend schools before and after primary and secondary education.

In addition to the papers, there are numerous panels of industry experts set up to discuss a wide variety of topics, from computer graphics to machine interactivity to education.

In addition to this there are many Sinhalese, who reside in the above mentioned countries and countries in the Middle East, Southeast Asia and Europe, temporarily in connection with employment and education.

In addition, those who are of working age but are currently in full-time education are usually not considered unemployed in government statistics.

In addition, UPEACE The Hague will strengthen peace education in The Hague region by organising professional trainings, lectures, seminars, and workshops.

In addition, global initiatives to improve the efficiency of aid delivery, such as the Paris Declaration on Aid Effectiveness, have not been taken up by water sector donors as effectively as they have in education and health, potentially leaving multiple donors working on overlapping projects and recipient governments without empowerment to act.

In addition to his contributions in education, Washington wrote 14 books ; his autobiography, Up From Slavery, first published in 1901, is still widely read today.

In addition to the authentication and acknowledgment procedures which precede and follow the sending of the go messages, again in special codes, each message also contains an `` internal authenticator '', another specific signal to convince the recipient that he is getting the real thing.

According to Cauchy's functional equation theorem, the logarithm is the only continuous transformation that transforms real multiplication to addition.

Since this holds true when performing addition on any real numbers, we say that " addition of real numbers is an associative operation.

* In arithmetic, addition and multiplication of real numbers are associative ; i. e.,

In addition, phase transitions in colloidal suspensions can be studied in real time using optical techniques, and are analogous to phase transitions in liquids.

In addition, if the defensive team gains possession, but then moves backwards into the endzone and is stopped, a one point safety will be awarded to the offense, although, unlike a real safety, the offense kicks off, opposed to the team charged with the safety.

In addition, the Cauchy distribution is the only univariate distribution which is closed under linear fractional transformations with real coefficients.

Although most often used for matrices whose entries are real or complex numbers, the definition of the determinant only involves addition, subtraction and multiplication, and so it can be defined for square matrices with entries taken from any commutative ring.

* If we think of as the group of real numbers under addition, then the direct product still consists of.

In addition, as part of the first commercial implementation of DPNSS ( in the Government Telephone Network or GTN in 1983 ), BT insisted that the core of the network be made from PBXs of different manufacture to prove the interoperability in real life.

The real numbers are a ring, having both addition and multiplication.

Note that ƒ cannot be extended to a homomorphism of rings ( from the complex numbers to the real numbers ), since it does not preserve addition:

For example, operation-preserving functions exist between the set of real numbers with addition and the set of positive real numbers with multiplication.

In the complex case of this theorem, the C-linearity assumptions demand, in addition to the assumptions for the real case, that for every vector x ∈ U, the vector be also in U and.

But the real numbers under addition also form a group.

By working with logarithms, multiplication of positive real numbers is replaced by addition of logs.

In addition, DOS programs would not be allowed to access or modify data and code segments that did not belong to them as they could in real mode.

In addition, hypotheses and popular rumors exist about Stalin's real father.

In addition to real life counterparts of the Abyssinian maid, Milton's Paradise Lost describes Abyssinian kings keeping their children guarded at Mount Amara and a false paradise, which is echoed in Kubla Khan.

Thus, the logarithm function is an isomorphism from the group of positive real numbers under multiplication to the group of real numbers under addition, represented as a function: