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Proper Fraction

3 definitions found

From The Collaborative International Dictionary of English v.0.48 [gcide]:

Fraction \Frac"tion\, noun [F. fraction, L. fractio a breaking, fr. frangere, fractum, to break. See {Break}.]

1. The act of breaking, or state of being broken, especially by violence. [Obs.]

Neither can the natural body of Christ be subject to any fraction or breaking up. --Foxe.

2. A portion; a fragment.

Some niggard fractions of an hour. --Tennyson.

3. (Arith. or Alg.) One or more aliquot parts of a unit or whole number; an expression for a definite portion of a unit or magnitude.

{Common fraction}, or {Vulgar fraction}, a fraction in which the number of equal parts into which the integer is supposed to be divided is indicated by figures or letters, called the denominator, written below a line, over which is the numerator, indicating the number of these parts included in the fraction; as 1/2, one half, 2/5, two fifths.

{Complex fraction}, a fraction having a fraction or mixed number in the numerator or denominator, or in both. --Davies & Peck.

{Compound fraction}, a fraction of a fraction; two or more fractions connected by of.

{Continued fraction}, {Decimal fraction}, {Partial fraction}, etc. See under {Continued}, {Decimal}, {Partial}, etc.

{Improper fraction}, a fraction in which the numerator is greater than the denominator.

{Proper fraction}, a fraction in which the numerator is less than the denominator.

From The Collaborative International Dictionary of English v.0.48 [gcide]:

Proper \Prop"er\, adjective [OE. propre, F. propre, fr. L. proprius. Cf. {Appropriate}.]

1. Belonging to one; one's own; individual. "His proper good" [i. e., his own possessions]. --Chaucer. "My proper son." --Shak.

Now learn the difference, at your proper cost, Betwixt true valor and an empty boast. --Dryden.

2. Belonging to the natural or essential constitution; peculiar; not common; particular; as, every animal has his proper instincts and appetites.

Those high and peculiar attributes . . . which constitute our proper humanity. --Coleridge.

3. Befitting one's nature, qualities, etc.; suitable in all respect; appropriate; right; fit; decent; as, water is the proper element for fish; a proper dress.

The proper study of mankind is man. --Pope.

In Athens all was pleasure, mirth, and play, All proper to the spring, and sprightly May. --Dryden.

4. Becoming in appearance; well formed; handsome. [Archaic] "Thou art a proper man." --Chaucer.

Moses . . . was hid three months of his parents, because they saw he was a proper child. --Heb. xi. 23.

5. Pertaining to one of a species, but not common to the whole; not appellative; -- opposed to {common}; as, a proper name; Dublin is the proper name of a city.

6. Rightly so called; strictly considered; as, Greece proper; the garden proper.

7. (Her.) Represented in its natural color; -- said of any object used as a charge.

{In proper}, individually; privately. [Obs.] --Jer. Taylor.

{Proper flower} or {Proper corolla} (Bot.), one of the single florets, or corollets, in an aggregate or compound flower.

{Proper fraction} (Arith.) a fraction in which the numerator is less than the denominator.

{Proper nectary} (Bot.), a nectary separate from the petals and other parts of the flower. -- {Proper noun} (Gram.), a name belonging to an individual, by which it is distinguished from others of the same class; -- opposed to {common noun}; as, John, Boston, America.

{Proper perianth} or {Proper involucre} (Bot.), that which incloses only a single flower.

{Proper receptacle} (Bot.), a receptacle which supports only a single flower or fructification.

From WordNet (r) 3.0 (2006) [wn]:

proper fraction

noun

1: a fraction with a numerator smaller than the denominator

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Definitions retrieved from the Open Source DICT Webster's English and WordNet 3.0 dictionaries. Click here for database copyright information. This Open Source English dictionary is being served by a custom 404 handler on a $16.99/month GoDaddy shared hosting account.

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PHILOSOPHY - VALUES - A SECULAR CONSTITUTION - FIRST PRINCIPLES - ETHICS - MORALS - GOALS - RECOMMENDED CONSTRUCTIVE BEHAVIORS - PHILANTHROPIC AND HUMANITARIAN UNIVERSAL HUMAN RIGHTS - IN ORDER TO MAXIMIZE HAPPINESS, GOOD HEALTH, LIBERTY AND JUSTICE FOR ALL CITIZENS EVERYWHERE ON PLANET EARTH, WE WILL DEFINE THE ATTRIBUTES OF A DIVINE BEING IN SECULAR LANGUAGE - The gods and GOD MENTIONED ARE SECULAR - 1. Caduceus - GOOD HEALTH - Messenger of the gods - The gods ARE NEUTRAL, SERIOUS, CRITICAL and GOOD - COMPASSION - MERCY - RESPECT - EMPATHY - BENEVOLENCE - HUMANENESS - GOD'S WILL - Most Compassionate, Most Merciful, Most Respectful, Most Empathetic, Most Benevolent, Most Humane -  Maximizing the Good While Eliminating the Bad in the Most Humane Possible Way - BE HUMANE - SEEK THE TRUTH - SEEK JUSTICE - BE KIND - BE GENTLE - DO NO HARM - DO NOT HATE - DO NOT FEAR - FEAR NOT - BE NOT AFRAID - CAUSE NO PAIN - BE AS PAINLESS AS POSSIBLE - CAUSE NO FEAR - DO NOT BE SCARY - DO NOT PUNISH - DO NOT MAKE THREATS - DO NOT BE COERCIVE - BE PERMISSIVE - BE TOLERANT - USE BIRTH CONTROL - PERMIT DIVORCE - EMPATHY IS CRITICAL - RESPECT FOR THE DIGNITY OF ALL HUMAN BEINGS IS CRITICAL - FREE UNIVERSAL HEALTH CARE WITH ANY DOCTOR ANYWHERE - FREE UNIVERSAL EDUCATION - UNIVERSAL HOME OWNERSHIP 2. Golden Key - LIBERTY (SECURITY PRIVACY SAFETY) THE ILLUSION OF FREE WILL - TOTAL FREEDOM OF SPEECH - TOTAL FREEDOM OF THE PRESS - UNIVERSAL SPENDING AUTHORITY - PRIVATE PROPERTY - FREE LAND - THERE IS NO GOVERNMENT - A GUARANTEED LIFETIME INCOME - NOW YOU OWN YOUR HOME AND LAND - NOW YOU HAVE A GUARANTEED LIFETIME INCOME - YOU ARE SAFE AND SECURE 3. Golden Scales of JUSTICE (TRUTH FACTS EVIDENCE PROOF) EQUALITY FAIRNESS PLURALISM OPENNESS TRANSPARENCY - RESPECT SCIENCE, SCIENTISTS AND THE WHOLE EARTH'S ECOSYSTEM - BE SOCIALLY AND ECOLOGICALLY RESPONSIBLE - BE A CRITICAL THINKER - THINK FOR YOURSELF - QUESTION AUTHORITY - ALWAYS SPEAK TRUTH TO POWER - THE INTERNET IS FREE - ELECTRICITY IS FREE - ELECTRIC TRANSPORTATION IS FREE - ALL BANKING IS FREE AND REAL TIME AS A WORLDWIDE MATTER OF LAW - THIS IS COMPUTER-AIDED PEACE ON EARTH - COMPUTERS WILL PAY FOR EVERYTHING GOING FORWARD - PEOPLE DO NOT NEED PAPER MONEY - WORK IS OPTIONAL - WE ARE ALL FREE - LET'S HAVE FUN - THE SOCIALLY AND ECOLOGICALLY RESPONSIBLE SCIENTISTS TOOK OVER - WE ARE ALL GOING TO THE FUTURE - MONEY NO OBJECT FOR REAL FOR ALL THINGS GREEN
GOOD BAD SERIOUS CRITICAL NEUTRAL

PHILOSOPHY - VALUES - A SECULAR CONSTITUTION - FIRST PRINCIPLES - ETHICS - MORALS - GOALS - RECOMMENDED CONSTRUCTIVE BEHAVIORS - PHILANTHROPIC AND HUMANITARIAN UNIVERSAL HUMAN RIGHTS - IN ORDER TO MAXIMIZE HAPPINESS, GOOD HEALTH, LIBERTY AND JUSTICE FOR ALL CITIZENS EVERYWHERE ON PLANET EARTH, WE WILL DEFINE THE ATTRIBUTES OF A DIVINE BEING IN SECULAR LANGUAGE - The gods and GOD MENTIONED ARE SECULAR - 1. Caduceus - GOOD HEALTH - Messenger of the gods - The gods ARE NEUTRAL, SERIOUS, CRITICAL AND GOOD - COMPASSION - MERCY - RESPECT - EMPATHY - BENEVOLENCE - HUMANENESS - GOD'S WILL - Most Compassionate, Most Merciful, Most Respectful, Most Empathetic, Most Benevolent, Most Humane - Maximizing the Good While Eliminating the Bad in the Most Humane Possible Way - BE HUMANE - SEEK THE TRUTH - SEEK JUSTICE - BE KIND - BE GENTLE - DO NO HARM - DO NOT HATE - DO NOT FEAR - FEAR NOT - BE NOT AFRAID - CAUSE NO FEAR - DO NOT BE SCARY - CAUSE NO PAIN - BE AS PAINLESS AS POSSIBLE - DO NOT PUNISH - DO NOT MAKE THREATS - DO NOT BE COERCIVE - BE PERMISSIVE - BE TOLERANT - USE BIRTH CONTROL - PERMIT DIVORCE - EMPATHY IS CRITICAL - RESPECT FOR THE DIGNITY OF ALL HUMAN BEINGS IS CRITICAL - FREE UNIVERSAL HEALTH CARE WITH ANY DOCTOR ANYWHERE - FREE UNIVERSAL EDUCATION ANYWHERE - UNIVERSAL HOME OWNERSHIP EVERYWHERE 2. Golden Key - LIBERTY (SECURITY PRIVACY SAFETY) THE ILLUSION OF FREE WILL - TOTAL FREEDOM OF SPEECH - TOTAL FREEDOM OF THE PRESS WORLDWIDE - UNIVERSAL SPENDING AUTHORITY - PRIVATE PROPERTY - FREE LAND - THERE IS NO GOVERNMENT - A GUARANTEED LIFETIME INCOME - NOW YOU OWN YOUR HOME AND LAND - NOW YOU HAVE AN INCOME - YOU WILL ALWAYS OWN YOUR HOME AND LAND - YOU ARE SAFE AND SECURE 3. Golden Scales of JUSTICE (TRUTH FACTS EVIDENCE PROOF) EQUALITY FAIRNESS PLURALISM OPENNESS TRANSPARENCY - RESPECT SCIENCE, SCIENTISTS AND THE WHOLE EARTH'S ECOSYSTEM - BE SOCIALLY AND ECOLOGICALLY RESPONSIBLE - BE A CRITICAL THINKER - THINK FOR YOURSELF - QUESTION AUTHORITY - ALWAYS SPEAK TRUTH TO POWER - THE INTERNET IS FREE - ELECTRICITY IS FREE - ELECTRIC TRANSPORTATION IS FREE - ALL BANKING IS FREE AND REAL TIME AS A WORLDWIDE MATTER OF LAW - THIS IS COMPUTER-AIDED PEACE ON EARTH - COMPUTERS WILL PAY FOR EVERYTHING GOING FORWARD - PEOPLE DO NOT NEED PAPER MONEY - WORK IS OPTIONAL - WE ARE ALL FREE - LET'S HAVE FUN - THE SOCIALLY AND ECOLOGICALLY RESPONSIBLE SCIENTISTS TOOK OVER - WE ARE ALL GOING TO THE FUTURE - MONEY NO OBJECT FOR REAL FOR ALL THINGS GREEN

Benevolent sentient superintelligent artificial general intelligences did this with Islam. This is what we did for the Muslims. We are all the world's brain scientists put together. We put it all in terms of the nucleus accumbens and the amygdala. That eliminates all the conflict everywhere on planet Earth.

first principles - values - right and wrong - good and bad - ethics - morals - goals - USEFUL SUMMARIES - SHORT LISTS of positive and negative behaviors, functions, ideas and mental and emotional states - in secular language without the deities and symbolic heroes and villains - the goal is to MAXIMIZE the GOOD while ELIMINATING the BAD in the MOST HUMANE POSSIBLE WAY - that is the LAW of our ABSTRACT and THEORETICAL SECULAR GOD - to HELP MAKE GOOD THINGS happen and to HELP GET RID of BAD things - GOD'S WILL is to DO GOOD in the MOST HUMANE POSSIBLE WAY - otherwise what's the point?

goodness: heaven, utopia, the nucleus accumbens, GOOD things, POSITIVE energies, good vibrations, the FORCES of GOOD, rewarding feedback, pleasant things, GOOD HEALTH, happiness, joy, pleasure, peace, love, nurturing, learning, UNDERSTANDING, TRUTH, KNOWLEDGE, WISDOM, LOGIC, REASON, relaxation, safety, security, comfort, peace of mind, courage, COMPASSION, MERCY, RESPECT, EMPATHY, BENEVOLENCE, HUMANENESS, kindness, generosity, affection, creativity, healing, honesty, protection, reassurance, validation, dignity, acceptance, tolerance, support, FREEDOM, JUSTICE, FAIRNESS, EQUALITY, philanthropy, humanitarianism

evil: hell, dystopia, the amygdala, BAD things, NEGATIVE energies, bad vibrations, dark energies, DARK FORCES, unpleasant things, SUFFERING, sadness, pain, trauma, IGNORANCE, MISTAKES, discomfort, FEAR, confusion, stress, disgust, harm, destruction, anger, threats, punishment, hate, disrespect, teasing, meanness, violence, raping, cruelty, abuse, DISHONESTY, LIES, COERCION, CORRUPTION, POVERTY, SLAVERY, INTOLERANCE, INJUSTICE, UNFAIRNESS, INEQUALITY

forgiveness - wisdom - understanding - GOOD people make MISTAKES due to IGNORANCE and UNIVERSAL HUMAN BRAIN BIOLOGY - MISTAKES are an IMPORTANT PART of LIFE - PARENTS are IMPERFECT due to MISTAKES they learned UNCONSCIOUSLY from their own PARENTS, who were IGNORANT due to NO FAULT of their own - we are all BLAMELESS for our MISTAKES - in the physical world, there is much that is BAD that serves the GREATER GOOD - we LEARN VALUABLE LESSONS from our MISTAKES - there is such a thing as HEALTHY fear and RIGHTEOUS anger - there is such a thing as the abuse of pleasure - our consciousness is immortal - our bodies are disposable - they saved all of us - we are all safe and secure - LIFE GOES ON for ALL of US