---
title: factorial — Judaism dictionary · trees and pragmatics
description: «factorial» in the Judaism dictionary: In mathematics, the result of multiplying a whole number by every smaller whole number down to one. Every meaning for a pupil with its dependency tree and pragmatics.
---

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# factorial

<!-- .vintro -->
**Who acts:** result, Sefer Yetzirah, ear · **What happens:** multiply, be, accord, give up, conclude, say · **To what, where:** whole number, factorials, Mishnah · **Speech:** someone speaks here

<!-- .vabout -->
«factorial» in the Judaism dictionary: its meaning for a pupil and its 2 examples, every sentence parsed by Mova itself — its syntax tree, a dependency tree in the style of Universal Dependencies, and its pragmatics clause by clause. The word in the dictionary, with its sense in the lessons: [factorial in the Judaism dictionary](https://md.mova.elamur.ai/free/en/dictionaries/judaism/w/factorial.md).

## Meaning 1 {#m1}

<!-- .ven lang=en -->
In mathematics, the result of multiplying a whole number by every smaller whole number down to one.

<!-- fold The tree, 17 words -->
```conllu
# sent_id = dict:judaism:factorial:m1:1
# text = In mathematics, the result of multiplying a whole number by every smaller whole number down to one.
1	In	in	ADP	IN	_	2	case	_	_
2	mathematics	mathematics	NOUN	NN	Number=Sing	0	root	_	SpaceAfter=No
3	,	,	PUNCT	,	_	5	punct	_	_
4	the	the	DET	DT	Definite=Def|PronType=Art	5	det	_	_
5	result	result	NOUN	NN	Number=Sing	2	appos	_	_
6	of	of	SCONJ	IN	_	7	mark	_	_
7	multiplying	multiply	VERB	VBG	VerbForm=Ger	5	acl	_	_
8	a	a	DET	DT	Definite=Ind|PronType=Art	10	det	_	_
9	whole	whole	ADJ	JJ	Degree=Pos	10	amod	_	_
10	number	number	NOUN	NN	Number=Sing	7	obj	_	_
11	by	by	ADP	IN	_	15	case	_	_
12	every	every	DET	DT	PronType=Tot	15	det	_	_
13	smaller	small	ADJ	JJR	Degree=Cmp	15	amod	_	_
14	whole	whole	ADJ	JJ	Degree=Pos	15	amod	_	_
15	number	number	NOUN	NN	Number=Sing	7	obl	_	_
16	down	down	ADV	RB	_	18	advmod	_	_
17	to	to	ADP	IN	_	18	case	_	_
18	one	one	NUM	CD	NumForm=Word|NumType=Card	7	obj	_	SpaceAfter=No
19	.	.	PUNCT	.	_	2	punct	_	_
```

<!-- .fr -->
| # | verb | tense, mood | who | what, whom | to whom | where | when | other | roles by |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 1 | **multiply** | gerund | the result *not said here* | a whole number |  |  |  | by every smaller whole number | tree rules |

<!-- .note -->
One row per clause the reader finds. «not said here»: a role filled from the clause above. «roles by»: a VerbNet class and frame when one fits the verb, else the reader's rules on the tree.

## Example 1 {#x1}

<!-- .ven lang=en -->
The factorials up to that of 1"2 are as follows: (Mordell, The Origin of Letters and Numerals according to Sefer Yetzirah (1914))

<!-- fold The tree, 23 words -->
```conllu
# sent_id = dict:judaism:factorial:x1:1
# text = The factorials up to that of 1"2 are as follows: (Mordell, The Origin of Letters and Numerals according to Sefer Yetzirah (1914))
1	The	the	DET	DT	Definite=Def|PronType=Art	2	det	_	_
2	factorials	factorial	NOUN	NNS	Number=Plur	0	root	_	_
3	up	up	ADP	RP	_	2	compound:prt	_	_
4	to	to	ADP	IN	_	5	case	_	_
5	that	that	PRON	DT	Number=Sing|PronType=Dem	2	nmod	_	_
6	of	of	ADP	IN	_	7	case	_	_
7	1	1	NUM	CD	NumForm=Digit|NumType=Card	5	nmod	_	SpaceAfter=No
8	"	"	PUNCT	''	_	2	punct	_	SpaceAfter=No
9	2	2	NUM	CD	NumForm=Digit|NumType=Card	2	conj	_	_
10	are	be	AUX	VBP	Mood=Ind|Number=Plur|Person=3|Tense=Pres|VerbForm=Fin	12	cop	_	_
11	as	as	SCONJ	IN	_	12	mark	_	_
12	follows	follow	VERB	VBZ	Mood=Ind|Number=Sing|Person=3|Tense=Pres|VerbForm=Fin	2	conj	_	SpaceAfter=No
13	:	:	PUNCT	:	_	15	punct	_	_
14	(	(	PUNCT	-LRB-	_	15	punct	_	SpaceAfter=No
15	Mordell	Mordell	PROPN	NNP	Number=Sing	2	nmod	_	SpaceAfter=No
16	,	,	PUNCT	,	_	18	punct	_	_
17	The	the	DET	DT	Definite=Def|PronType=Art	18	det	_	_
18	Origin	Origin	PROPN	NNP	Number=Sing	15	appos	_	_
19	of	of	ADP	IN	_	20	case	_	_
20	Letters	letter	NOUN	NNS	Number=Plur	18	nmod	_	_
21	and	and	CCONJ	CC	_	22	cc	_	_
22	Numerals	numeral	NOUN	NNS	Number=Plur	20	conj	_	_
23	according	accord	VERB	VBG	ExtPos=ADP|Tense=Pres|VerbForm=Part	25	case	_	_
24	to	to	ADP	IN	_	23	fixed	_	_
25	Sefer	Sefer	PROPN	NNP	Number=Sing	20	nmod	_	_
26	Yetzirah	Yetzirah	PROPN	NNP	Number=Sing	25	flat	_	_
27	(	(	PUNCT	-LRB-	_	28	punct	_	SpaceAfter=No
28	1914	1914	NUM	CD	NumForm=Digit|NumType=Card	15	list	_	SpaceAfter=No
29	))	))	PUNCT	-RRB-	_	28	punct	_	_
```

<!-- .fr -->
| # | verb | tense, mood | who | what, whom | to whom | where | when | other | roles by |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 1 | **is** *in a quote* | present |  |  |  |  |  | follow *property* | tree rules |
| 2 | **accord** *in a quote* | gerund |  |  |  |  |  |  | vn future\_having-13.3 «NP V NP.theme (PP)»: agent=Agent |

## Example 2 {#x2}

<!-- .ven lang=en -->
The Sefer Yetzirah gives the factorials up to that of seven and concludes the Mishnah by saying: "Go and count further, what the mouth is unable to pronounce, and the ear is unable to hear." (Mordell, The Origin of Letters and Numerals according to Sefer Yetzirah (1914))

<!-- .note -->
*Sentence 1:* The Sefer Yetzirah gives the factorials up to that of seven and concludes the Mishnah by saying: "Go and count further, what the mouth is unable to pronounce, and the ear is unable to hear."

<!-- fold The tree, 35 words -->
```conllu
# sent_id = dict:judaism:factorial:x2:1
# text = The Sefer Yetzirah gives the factorials up to that of seven and concludes the Mishnah by saying: "Go and count further, what the mouth is unable to pronounce, and the ear is unable to hear."
1	The	the	DET	DT	Definite=Def|PronType=Art	3	det	_	_
2	Sefer	Sefer	PROPN	NNP	Number=Sing	3	compound	_	_
3	Yetzirah	Yetzirah	PROPN	NNP	Number=Sing	4	nsubj	_	_
4	gives	give	VERB	VBZ	Mood=Ind|Number=Sing|Person=3|Tense=Pres|VerbForm=Fin	0	root	_	_
5	the	the	DET	DT	Definite=Def|PronType=Art	6	det	_	_
6	factorials	factorial	NOUN	NNS	Number=Plur	4	obj	_	_
7	up	up	ADP	RP	_	4	compound:prt	_	_
8	to	to	ADP	IN	_	9	case	_	_
9	that	that	PRON	DT	Number=Sing|PronType=Dem	4	obl	_	_
10	of	of	ADP	IN	_	11	case	_	_
11	seven	seven	NUM	CD	NumForm=Word|NumType=Card	9	nmod	_	_
12	and	and	CCONJ	CC	_	13	cc	_	_
13	concludes	conclude	VERB	VBZ	Mood=Ind|Number=Sing|Person=3|Tense=Pres|VerbForm=Fin	4	conj	_	_
14	the	the	DET	DT	Definite=Def|PronType=Art	15	det	_	_
15	Mishnah	Mishnah	PROPN	NNP	Number=Sing	13	obj	_	_
16	by	by	SCONJ	IN	_	17	mark	_	_
17	saying	say	VERB	VBG	Tense=Pres|VerbForm=Part	13	advcl	_	SpaceAfter=No
18	:	:	PUNCT	:	_	20	punct	_	_
19	"	"	PUNCT	``	_	20	punct	_	SpaceAfter=No
20	Go	go	VERB	VB	Mood=Imp|VerbForm=Fin	17	ccomp	_	_
21	and	and	CCONJ	CC	_	22	cc	_	_
22	count	count	VERB	VB	Mood=Imp|VerbForm=Fin	20	conj	_	_
23	further	far	ADV	RBR	Degree=Cmp	22	advmod	_	SpaceAfter=No
24	,	,	PUNCT	,	_	29	punct	_	_
25	what	what	PRON	WP	PronType=Int	29	nsubj	_	_
26	the	the	DET	DT	Definite=Def|PronType=Art	27	det	_	_
27	mouth	mouth	NOUN	NN	Number=Sing	29	nsubj	_	_
28	is	be	AUX	VBZ	Mood=Ind|Number=Sing|Person=3|Tense=Pres|VerbForm=Fin	29	cop	_	_
29	unable	unable	ADJ	JJ	Degree=Pos	20	conj	_	_
30	to	to	PART	TO	_	31	mark	_	_
31	pronounce	pronounce	VERB	VB	VerbForm=Inf	29	xcomp	_	SpaceAfter=No
32	,	,	PUNCT	,	_	37	punct	_	_
33	and	and	CCONJ	CC	_	37	cc	_	_
34	the	the	DET	DT	Definite=Def|PronType=Art	35	det	_	_
35	ear	ear	NOUN	NN	Number=Sing	37	nsubj	_	_
36	is	be	AUX	VBZ	Mood=Ind|Number=Sing|Person=3|Tense=Pres|VerbForm=Fin	37	cop	_	_
37	unable	unable	ADJ	JJ	Degree=Pos	4	parataxis	_	_
38	to	to	PART	TO	_	39	mark	_	_
39	hear	hear	VERB	VB	VerbForm=Inf	37	xcomp	_	SpaceAfter=No
40	.	.	PUNCT	.	_	37	punct	_	SpaceAfter=No
41	"	"	PUNCT	''	_	4	punct	_	_
```

<!-- .fr -->
| # | verb | tense, mood | who | what, whom | to whom | where | when | other | roles by |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 1 | **give up** | present | the Sefer Yetzirah | the factorials |  |  |  | to that | tree rules |
| 2 | **conclude** | present | the Sefer Yetzirah *not said here* | the Mishnah |  |  |  |  | vn deduce-97.2 «NP V NP»: agent=Agent mishnah=Theme |
| 3 | **say** *speech: assert* | gerund | the Sefer Yetzirah *not said here* |  |  |  |  |  | vn say-37.7-1-1 «NP V that S»: agent=Agent clause=Topic |
| 4 | **go** *in a quote* | infinitive |  |  |  |  |  |  | vn disappearance-48.2-1 «NP V»: agent=Theme |
| 5 | **count** *in a quote* | infinitive |  |  |  |  |  | far *property* | vn matter-91 «NP V»: agent=Stimulus |
| 6 | **is** *in a quote* | present |  |  |  |  |  | unable *property* | tree rules |
| 7 | **pronounce** *in a quote* | to-infinitive |  |  |  |  |  |  | vn dub-29.3.2 «NP V NP»: agent=Agent |
| 8 | **is** *in a quote* | present | the ear |  |  |  |  | unable *property* | tree rules |
| 9 | **hear** *in a quote* | to-infinitive | the ear *not said here* |  |  |  |  |  | vn see-30.1-1-1 «NP V PP.stimulus»: agent=Experiencer |

<!-- .note -->
*Sentence 2:* (Mordell, The Origin of Letters and Numerals according to Sefer Yetzirah (1914))

<!-- fold The tree, 12 words -->
```conllu
# sent_id = dict:judaism:factorial:x2:2
# text = (Mordell, The Origin of Letters and Numerals according to Sefer Yetzirah (1914))
1	(	(	PUNCT	-LRB-	_	2	punct	_	SpaceAfter=No
2	Mordell	Mordell	PROPN	NNP	Number=Sing	0	root	_	SpaceAfter=No
3	,	,	PUNCT	,	_	5	punct	_	_
4	The	the	DET	DT	Definite=Def|PronType=Art	5	det	_	_
5	Origin	Origin	PROPN	NNP	Number=Sing	2	appos	_	_
6	of	of	ADP	IN	_	7	case	_	_
7	Letters	letter	NOUN	NNS	Number=Plur	5	nmod	_	_
8	and	and	CCONJ	CC	_	9	cc	_	_
9	Numerals	numeral	NOUN	NNS	Number=Plur	7	conj	_	_
10	according	accord	VERB	VBG	ExtPos=ADP|Tense=Pres|VerbForm=Part	12	case	_	_
11	to	to	ADP	IN	_	10	fixed	_	_
12	Sefer	Sefer	PROPN	NNP	Number=Sing	2	nmod	_	_
13	Yetzirah	Yetzirah	PROPN	NNP	Number=Sing	12	flat	_	_
14	(	(	PUNCT	-LRB-	_	15	punct	_	SpaceAfter=No
15	1914	1914	NUM	CD	NumForm=Digit|NumType=Card	2	list	_	SpaceAfter=No
16	))	))	PUNCT	-RRB-	_	2	punct	_	_
```

<!-- .fr -->
| # | verb | tense, mood | who | what, whom | to whom | where | when | other | roles by |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 1 | **accord** | gerund |  |  |  |  |  |  | vn future\_having-13.3 «NP V NP.theme (PP)»: agent=Agent |

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**Text:** the Judaism dictionary of Mova's schools (`world/data/dictionary-schools/`), written for Mova. **Trees:** Mova's own parse — the `en` model on the CPU, when the site is built — not checked by a teacher; they may be wrong. **Frames:** Mova's frames reader (`prag`), each meaning and example read on its own. Elamur Cosmic License.

<!-- /div -->

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